Answer:
False. This may be true with a trapezoid but not with a square or rectangle, seeing they have 2.
Step-by-step explanation:
Hope it helps! =D
which inequality represents the graph??
Answer:
C
Step-by-step explanation:
K travels 1 mile north, then 2 miles east, then 3 miles north again, and then once more east for 4 miles.
How far is she from her starting point when she arrives? Round to the nearest hundredth
The total distance from the starting point is 7.21 miles
Now, According to the question:
The movements are represented as:
[tex]N_1= 1miles\\E_1= 2miles\\\\N_2 =3 miles\\\\E_2 = 4miles[/tex]
To find the distance from the starting point.
First, calculate the total distance towards North.
[tex]N = N_1+N_2[/tex]
N = 1 + 3
N = 4 miles
Next, calculate the total distance towards East
[tex]E = E_1+E_2[/tex]
E = 2 + 4
E = 6 miles
The total distance from the starting point is calculated using Pythagoras theorem.
[tex]D^2=N^2+E^2[/tex]
[tex]D^2[/tex] = [tex]4^2+6^2[/tex]
[tex]D^2[/tex] = 16 + 36
[tex]D^2 =[/tex] 52
[tex]D = \sqrt{52}[/tex]
D = 7.21
Hence, The total distance from the starting point is 7.21 miles
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Question: Graph the inequality on the axes below.
y ≤ x -2.
where would i graph, where would i shade and is the line dotted or not
Answer:
To graph the inequality y ≤ x - 2 on the axes, you would:
Plot the line y = x - 2 on the graph. The line will be a straight line passing through the point (-2,0) and has a slope of 1.
Determine the direction of the inequality symbol. Since it is a less-than-or-equal-to symbol, we will shade the region that is less than or equal to the line.
Shade the region that is less than or equal to the line in the graph. In this case, the region above the line y = x - 2.
The line is solid, it's not dotted.
Note: The graph will be a straight line that is tilted towards the top right of the coordinate axes, the region above the line will be shaded.
Step-by-step explanation:
8x+10y=-30 into slope intercept form, simplifying all fractions
A conversion of this equation in standard form to slope-intercept is y = 4x/5 - 3.
What is the slope-intercept form?In Mathematics, the slope-intercept form of a line can be calculated by using this linear equation:
y = mx + c
Where:
x and y represents the data points.m represents the slope of a line.c represents the y-intercept of a line.Based on the information provided about the line, it is represented by this equation;
8x + 10y = -30
Making y the subject of formula in the above equation, we have the following:
10y = 8x - 30
y = 8x/10 - 30/10
y = 4x/5 - 3
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Answer 8 and 9.
Find the measure of an arc from the central angle.
8) The Length of major arc MQN is; ⁵/₄πr
Length of minor arc MPN is; ³/₄πr
9) Length of major arc HJK is; ¹³/₁₅πr
Length of minor arc MPN is; ⁴/₁₅πr
How to find the length of an arc?The formula that is used to find the length of an arc is;
L = (θ/360) * 2πr
where;
L is length of arc
θ is central angle
r is radius
8) We are not given the radius and as such;
Length of major arc MQN = (225/360) * 2πr
= ⁵/₄πr
Length of minor arc MPN = ((360 - 225)/360) * 2πr
= ³/₄πr
9) Length of major arc HJK = (312/360) * 2πr
= ¹³/₁₅πr
Length of minor arc MPN = ((360 - 312)/360) * 2πr
= ⁴/₁₅πr
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An experimental plant has an unusual growth pattern. On each day. The plant doubles its height of the previous day. On the first day of the experiment, the plant grows to twice, or 2 times, its original height. On the second day, the plant grows to 4 times its original height. On the third day, the plant grows to 8 times its original height.
A. How many times its original height does the plant reach on the sixth day? On the nth day?
A. On the sixth day, the plant grows to 64 times its original height.
B. On the nth day, the plant would [tex]2^n[/tex] time its original height.
A. From the given condition we can that the growth of the plant shows a geometric progression with a first term of 2 and a common ratio of 2.
On the first day, the plant grows to [tex]2^1[/tex] = 2 times its original height.
On the second day, the plant grows to [tex]2^2[/tex] = 4 times its original height.
Similarly, on the sixth day, the plant grows to [tex]2^6[/tex] = 64 times its original height.
B. The nth term of the progression can be calculated by multiplying the first term by the common ratio raised to the power of n-1.
In this case, the first term is 2 and the common ratio is 2. So the nth term is [tex]2 * 2^{n-1} = 2^n[/tex]
Hence, on the nth day, the plant grows to [tex]2^n[/tex] times its original height.
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A certain type of insect has a 0.2 chance of dyingonanyonedayandthisprobability remains relatively constant for a few days.
a. Whatistheprobabilitythataninsectof this type survives its first day?
b. Whatistheprobabilitythataninsectof this type survives its first three days?
c. Whatistheprobabilitythataninsectof this type dies on its fourth day?
d. How many days do you expect an insect of this type to survive?
e. If 200 insects of this type are being studied in a laboratory, how many do you expect to be alive after the third day?
The answer to each question are:
a). probability of an insect of this type surviving its first day is 0.8
b). probability of an insect of this type surviving it's first three days is 0.512.
c). probability of an insect of this type dying on its fourth day is 0.2.
d). If 200 insects of this type are being studied in a laboratory, 102 to be alive after the third day.
What is the probability?
Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are.
a). The probability that an insect of this type survives its first day is 1 - 0.2 = 0.8.
b). The probability that an insect of this type survives it's first three days is 0.8 * 0.8 * 0.8 = 0.512.
c). The probability that an insect of this type dies on its fourth day is 0.2.
d). The expected number of days that an insect of this type would survive is not determinable with the information given.
e). If 200 insects of this type are being studied in a laboratory, you would expect approximately 200 * 0.512 = 102.24 to be alive after the third day. Round down to 102 insects.
Hence, The answer to each question is:
a). probability of an insect of this type surviving its first day is 0.8
b). probability of an insect of this type surviving it's first three days is 0.512.
c). probability of an insect of this type dying on its fourth day is 0.2.
d). If 200 insects of this type are being studied in a laboratory, 102 to be alive after the third day.
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the meaure of the exterior angel of a hexagon are x,3x,,4x,5x,8x, and 9x find the meaure of the larget exterior angel
The largest exterior angle of hexagone is 108°.
Given that exterior angle of a hexagon are x, 3x, 4x, 5x, 8x and 9x.
Exterior angles are those that run parallel to a polygon’s inner angles but are located outside of polygon.
We know that sum of exterior angle of any polygon is 360°.
So, sum of exterior angle of hexagon will be 360°.
x + 3x + 4x + 5x + 8x + 9x = 360°
30x = 360°
x = 360° / 30
x = 12°
Now the largest angle = 9 * 12 = 108°
Therefore, the largest angle of hexagon is 108°.
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Express tan Y as a fraction in simplest terms.
Help pls I really need help
Answer:
b
Step-by-step explanation:
what is statistical risk? a board game in which you attempt to conquer the world by strategically positioning your armies to destroy your enemies so you can rub it in the face of your brothers or sisters for the rest of the vacation or weekend the long run probability that you will make a particular kind of mistake the prbability that a single flip of a coin will come up 'tails' none of the above
Statistical risk refers to the likelihood of an adverse event occurring, as determined through statistical analysis. This can include events such as financial loss, injury, or death. It is typically measured using probability, which is a value between 0 and 1 that represents the likelihood of an event occurring.
For example, in finance, the risk of an investment is often measured by the standard deviation of the returns over time. In healthcare, the risk of a particular treatment or procedure is often measured by the rate of complications or adverse events.
The board game you described, where the goal is to conquer the world, does not involve statistical risk. It is a game of strategy, and the outcome is determined by the players' decisions and actions, rather than by chance.
The long-run probability of making a particular kind of mistake is an example of statistical risk. For example, if a pilot has a history of making landing errors, we can use statistical analysis to determine the probability that they will make a similar mistake in the future.
The probability that a single flip of a coin will come up 'tails' is also an example of statistical risk. In this case, the probability of the coin landing tails is 0.5 or 50%.
In summary, Statistical risk is the likelihood of an adverse event occurring, as determined through statistical analysis. It is measured using probability, and it is used to understand and manage the risk in various fields such as finance, healthcare, and engineering.
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Write a real-world problem that you could represent with the equation 20 2n5 4. Solve the equation to find the answer to your problem
The solution of the given equation is 1.6. It has been represented and solved as a real-world problem below.
The given equation is = - 20 + 2x5 = 4
We can rewrite this equation as = - 4 + 2x5 = 20
Let us suppose that person A has x number of bananas that they have taken out from a stock full of bananas. They continue taking x number of bananas two more times. They then stop and see that person B has already taken 4 bananas from the stock. We can write this equation as -
= 4 + 2x
Person A saw knew that there were 20 bananas in total. So, we can write it as -
= 4 + 2x = 20
Person A then resumed and took x number of bananas again 5 more times. We can rewrite this as -
= 4 + 2x5 = 20
Solving this equation, we get -
= 4 + 10x = 20
= 10x = 20-4 = 16
= x = 16/10
= x = 1.6
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Select the procedures that cannot be used to show the converse of the Pythagorean theorem using side lengths chosen from 3 cm, 4 cm, 5 cm, and 6 cm.
A.
Knowing that 3² + 4² = 5², draw any two sides with a right angle between them. The third side will fit to form a right triangle.
B.
Knowing that 3 + 4 > 5, draw the 3 cm side and the 4 cm side with a right angle between them. The 5 cm side will fit to form a right triangle.
C.
Knowing that 3 + 5 > 6, draw the 3 cm side and the 5 cm side with a right angle between them. The 6 cm side will fit to form a right triangle.
D.
Knowing that 3² + 4² = 5², draw the 3 cm side and the 4 cm side with a right angle between them. The 5 cm side will fit to form a right triangle.
The procedure that cannot be used are:
A. Knowing that 3² + 4² = 5², draw any two sides with a right angle between them. The third side will fit to form a right triangle.
B.
Knowing that 3 + 4 > 5, draw the 3 cm side and the 4 cm side with a right angle between them. The 5 cm side will fit to form a right triangle.
C.
Knowing that 3 + 5 > 6, draw the 3 cm side and the 5 cm side with a right angle between them. The 6 cm side will fit to form a right triangle.
What is the Pythagorean theorem?The Pythagorean theorem states that the result obtained by squaring the value of the hypotenuse of a right angled triangle is equal to the sum of the squares of the values other two sides of the triangle.
The hypotenuse of a a given triangle is usually longer that the other two sides.
Therefore, the correct procedure when lengths such as 3 cm, 4 cm, 5 cm, and 6 cm should be knowing that 3² + 4² = 5², draw the 3 cm side and the 4 cm side with a right angle between them. The 5 cm side will fit to form a right triangle.
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What is the sum of the geometric series?
Sigma-Summation Underscript n = 1 Overscript 4 EndScripts (negative 2) (negative 3) Superscript n minus 1
–122
–2
40
54
Step-by-step explanation:
Σ^n=1 -144 (1/2)n-1
This is a finite geometric series with n
=4, a₁-144, and r = 2.
S = a₁ (1-r") / (1 − r)
S-144 (1 - (1/2)) / (1 - 1/2)
S=-270
If you wanted to find the infinite sum (n
= ∞0)
:S = a₁ / (1 − r)
S-144/(1-1/2)
S=-288
For events A, B, and C we have that
P(A)=0.24,
P(B)=0.26,
P(A n B)=0.05,
P(A n C)=0.05,
P(B n C)=0.05,
P(A n B n C)=0.02 and P((A u B uC)^/)=0.33,
find P(C)
How should i go about this
Answer:
give me brainlist please
Step-by-step explanation:
We can use the formula for conditional probability and the formula for the probability of the union of events to find P(C).
Using the formula for conditional probability, we can find P(A|B) = P(A n B) / P(B) = 0.05 / 0.26 = 0.192
Using the formula for conditional probability again, we can find P(A|C) = P(A n C) / P(C) = 0.05 / P(C)
Since A and C are independent events, we know that P(A|C) = P(A), so we can write:
0.05 / P(C) = 0.24
Solving for P(C) we get P(C) = 0.05/0.24 = 0.208
Alternatively, we can use the formula for the probability of the union of events:
P(A u B u C) = P(A) + P(B) + P(C) - P(A n B) - P(A n C) - P(B n C) + P(A n B n C)
We know that P(A u B u C) = 1 - P((A u B u C)^/) = 1 - 0.33 = 0.67
and we know the values of P(A), P(B), P(A n B), P(A n C), P(B n C), P(A n B n C)
We can substitute these values into the above equation to find P(C)
P(C) = 0.67 - 0.24 - 0.26 + 0.05 + 0.05 + 0.05 - 0.02 = 0.208
So P(C) = 0.208
Select all the true statements about the table.
x y
2 7
6 21
8 28
14 49
The slope is 3.5.
There is a proportional relationship between the variables x and y.
The slope is 7.
There is a linear relationship between the variables x and y, but not a proportional relationship.
The graph does not pass through the point (0, 0).
Answer:
Slope is 3.5
There is a proportional relationship between the variables x and y
The other statements are false.
The slope is 3.5, not 7
A linear relationship is the same a proportional relationship so statement 4 is always false
The graph does pass through (0, 0)
Step-by-step explanation:
Consider the first 2 pairs of coordinates, (2, 7) and (6, 21);
The increase in x is from 2 to 6, i.e. an addition of 4, the increase in y is from 7 to 21, i.e. an addition of 14;
Now consider the the 2nd and 3rd pairs of coordinates, (6, 21) and (8, 28);
The increase in x is from 6 to 8, i.e. an addition of 2, the increase in y is from 21 to 28, i.e. an addition of 7;
So, with the first 2 pairs of coordinates, an increase of 4 in x resulted in an increase of 14 in y and with the second 2 pairs of coordinates, an increase of 2 in x resulted in an increase of 7 in y, i.e. (+4, +14) and (+2, + 7);
2 × (+2, +7) = (+4, 14)
Or:
(+4, +14) ÷ 2 = (+2, +7)
This means a line from the 1st point to the 2nd point and a line from the 2nd point to the 3rd point will have the same gradient:
To find the slope simple, find the increase in y resulting from an increase of 1 in x, so:
(+2, +7) ÷ 2 = (+1, +3.5)
The gradient (or slope) is 3.5;
If there is a line with a fixed gradient that passes through all the points, then the relationship is proportional, also linear;
This is the case for this question;
If we follow the pattern backwards as well, so the point:
(2, 7) - (+2, +7) = (0,0)
This means (0,0) lies on the line.
(0,0), (2, 7), (4, 14), (6, 21), (8, 28), (10, 35), (12, 42), (14, 49), etc.
All these points would lie on the line, just add 2 to x, add 7 to y;
You would find the same points plus others by the rule, add 1 to x, add 3.5 to y.
In the graph, the area above f(x) is shaded and labeled A, the area below g(x) is shaded and labeled B, and the area where f(x) and g(x) have shading in common is labeled AB.
Graph of two intersecting lines. The line g of x is solid, and goes through the points 0, negative 2 and 1, 0 and is shaded in below the line. The other line f of x is dashed, and goes through the points 0, 3, 3, 0 and is shaded in above the line.
The graph represents which system of inequalities?
Group of answer choices
y > 2x − 3
y > −x − 3
y < 2x − 2
y < −x + 3
y ≤ 2x − 2
y > −x + 3
None of the above
The given graph is represented by the following inequalities (C) y ≤ 2x − 2, y > −x + 3.
What are inequalities?An inequality in mathematics is a relation that compares two numbers or other mathematical expressions in an unequal way.
The majority of the time, size comparisons between two numbers on the number line are made.
If an inequality matching y > -ax + b is solved, area A will be shaded above a dashed line with a negative slope.
Such inequality exists between Options A and C.
The solution of an inequality that fits y ax + b will be below a solid line with a positive slope where region B is shaded (for some positive a).
The only option with the correct inequality symbol is Choice C.
We discover that choice C matches the graph when we closely examine it.
Region A matches y > -x+3 because the line with a negative slope has a slope of -1 and a y-intercept of 3.
Region B corresponds to y 2x -2 because the line with a positive slope has a slope of +2 and a y-intercept of -2.
Therefore, the given graph is represented by the following inequalities (C) y ≤ 2x − 2, y > −x + 3.
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Correct question:
In the graph, the area above f(x) is shaded and labeled A, the area below g(x) is shaded and labeled B, and the area where f(x) and g(x) have shading in common is labeled AB.
Graph of two intersecting lines. The line g of x is solid, and goes through the points 0, negative 2 and 1, 0 and is shaded in below the line. The other line f of x is dashed, and goes through the points 0, 3, 3, 0 and is shaded in above the line.
The graph represents which system of inequalities?
Group of answer choices
a. y > 2x − 3
y > −x − 3
b. y < 2x − 2
y < −x + 3
c. y ≤ 2x − 2
y > −x + 3
d. None of the above
What is the ordered pair that represents the point (−4, −7) after a reflection over the x-axis?
(4, 7)
(−4, 7)
(7, −4)
(−7, −4)
After reflection over the x-axis the ordered pair is at (-4, 7).
What is the reflection?When two different media come together at an interface, a wavefront might change direction so that it returns to the first medium, which is known as reflection.
When you reflect a point across the x-axis, the x-coordinate remains the same, but the y-coordinate is taken to be the additive inverse. The reflection of point (x, y) across the x-axis is (x, -y).
Here,
The reflection of point (-4, 7) across the x-axis is (-4, -7).
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Which are solutions for the inequality k≤12
? (Select all that apply)
The negative values, zero and the positive numbers lesser than 12 and equal to twelve are solutions of inequality.
What is Inequality?A relationship between two expressions or values that are not equal to each other is called 'inequality.
We need to find the solutions for the inequality k≤12
k lesser than or equal to twelve.
Which means the solution of the inequality are the values which are lesser than or equal to 12.
The solution of the inequality k≤12 is (-∞, 12]
All the negative values, zero and the positive numbers lesser than 12 and equal to twelve are solutions of inequality.
Hence, the negative values, zero and the positive numbers lesser than 12 and equal to twelve are solutions of inequality.
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Factorise the following expression
please
The factorization of the given expression is p(4p-12q+qp).
What is factorization?The factorization method uses basic factorization formula to reduce any algebraic or quadratic equation into its simpler form, where the equations are represented as the product of factors instead of expanding the brackets. The factors of any equation can be an integer, a variable, or an algebraic expression itself.
The given expression is 4p²-12pq+qp².
Group and factor out the greatest common factor (GCF), then combine.
Here, the greatest common factor of the terms is p
Now, p(4p-12q+qp)
Therefor, the factorization of the given expression is p(4p-12q+qp).
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What is the product of the polynomials?
Answer:
Multiply all of the terms of each polynomial and then combine like terms. Example: Multiply: ( 2 x 2 + x − 3 ) ( x 2 − 2 x + 5 ) . Solution: Multiply each term of the first trinomial by each term of the second trinomial and then combine like terms.
Let f(x) = 3x2 – 2x + 6 and g(x) = 7x – 4. Identify the rule for f + g.
The sum between the functions:
f(x) = 3x² - 2x + 6
g(x) = 7x - 4
is (f + g)(x) = 3x² + 5x + 2
How to add the two functions?Here we have two functions which are:
f(x) = 3x² - 2x + 6
g(x) = 7x - 4
And we want to add these to get f + g, so we only need to add the two functions, we will get:
f(x) + g(x) = (3x² - 2x + 6) + (7x - 4)
Grouping like terms we will get:
(3x² - 2x + 6) + (7x - 4) = (3x²) + (-2x + 7x) + (6 - 4)
And now we can simplify that to get:
(3x²) + (-2x + 7x) + (6 - 4) = 3x² + 5x + 2
The sum is:
(f + g)(x) = 3x² + 5x + 2
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in a randomly selected 100 students in a large college, 20 of them had at least one sibling. does this provide strong evidence that more than 15% of college students in america have at least one sibling? test using
Answer:
No
Step-by-step explanation:
It could only represent large colleges, not all colleges. Sampling requires similar characteristics to represent the entire population of testing.
How to solve image. (solving rational expressions) and check for extraneous solutions
The evaluation of the equation to find the value of n in the rational function [tex]\frac{1}{n^2} + \frac{1}{n} = \frac{1}{2\cdot n^2}[/tex] is; n = -1/2
What is a rational function?A rational function is a function that contains rational fractions, such that the dividend and the divisor are polynomial expressions.
2) The specified rational equation or function can be presented as follows;
1/(n²) + 1/n = 1/(2·n²)The above equation consists of rational expressions. The expressions can be resolved by collecting like terms as follows;
The like terms are terms that can be resolved by simple addition or subtraction.
1/n = 1/(2·n²) - 1/(n²) = (1 - 2)/(2·n²) = -1/(2·n²)
1/n = -1/(2·n²)
Multiplying both sides by n, we get;
(1/n) × n = (-1/(2·n²)) × n
(1/n) × n = 1 = (-1/(2·n))
1 = (-1/(2·n))
Multiplying both sides by n, we get;
1 × n = (-1/(2·n)) × n
n = -1/2
The value of n in the equation, 1/(n²) + 1/n = 1/(2·n²), is -1/2Learn more on rational functions here: https://brainly.com/question/29185109
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Find the inverse of this function question (i) only please
The inverse of the function will be x=(4y-2)/(y+2) where x is the inverse of the function given in i.
What is a function?
A function is defined as a relation between a set of inputs having one output each. In simple words, a function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and co-domain or range. A function is generally denoted by f(x) where x is the input. The general representation of a function is y = f(x).
There are several types of functions in math. Some important types are:
Injective function or One to one function: When there is mapping for a range for each domain between two sets.
Surjective functions or Onto function: When there is more than one element mapped from domain to range.
Polynomial function: The function which consists of polynomials.
Inverse Functions: The function which can invert another function.In simple words, if any function “f” takes x to y then, the inverse of “f” will take y to x.
Now,
As given
f(x)=2(x+1)/4-x
from here x will be inverse of the function
Therefore
y(4-x)=2x+2
4y-yx=2x+2
4y-2=x(y+2)
x=(4y-2)/(y+2)
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Nasim is flying a kite, holding his hands a distance of 2.5 feet above the ground and letting all the kite’s string play out. He measures the angle of elevation from his hand to the kite to be 28 degrees
. If the string from the kite to his hand is 105 feet long, how many feet is the kite above the ground? Round your answer to the nearest hundredth of a foot if necessary.
Step-by-step explanation:
this creates a right-angled triangle 2.5 ft above the ground.
the string is the Hypotenuse (the side opposite to the 90° angle). the air distance to the height of the kite is one leg, and the height of the kite minus the 2.5 ft is leg 2.
in the trigonometric triangle the up/down side is sine (multiplied by the Hypotenuse or radius of the circle) of the angle at the center of the circle. and the left/right side is cosine (again multiplied by the Hypotenuse or radius) of the angle.
so, the height of the kite above ground is
105×sin(28°) + 2.5 = 51.79451409... ≈ 51.79 ft.
Need answer of number 3,4,5
A linear equation - y = 5x -7 is a slant line with intercepts for linear equations. A vertical line is x = 2. A line that runs through the origin is y = 3/4x.
A slant line with intercepts is y = 1/2x + 3. A horizontal line is y = 9. The line x = -1 runs vertically.
A linear equation is what?A direct condition is one that has a level of 1 as its most extreme worth. As a result, there is no variable in a linear equation with an exponent greater than 1. The graph of a linear equation will always be straight.
y = 5x -7 is the first line equation.This line is not horizontal or vertical when the equation is graphed; rather, it is slant.
Additionally, this line does not traverse the origin. As a result, this equation has intercepts and slant lines.
x = 2 is the second line equation.Since there is no y-intercept in this equation, it will be a vertical line that runs parallel to the y-axis.
Additionally, this line does not traverse the origin. As a result, this equation has a line that runs vertically.
y = 3/4x is the third equation for the line.This line is not horizontal or vertical when the equation is graphed; rather, it is slant.
Additionally, this line actually traverses the origin. As a result, the origin of this equation is traversed by slant lines.
y = 1/2x + 3 is the fourth equation for a line.This line is not horizontal or vertical when the equation is graphed; rather, it is slant.
Additionally, this line does not traverse the origin. This equation is therefore a slant line with intercepts.
y = 9 is the fifth line equation.Since there is no x-intercept in this equation, it will be a horizontal line that runs parallel to the x-axis.
Additionally, this line does not traverse the origin. As a result, there is a horizontal line in this equation.
x = -1 is the sixth line equation.Since there is no y-intercept in this equation, it will be a vertical line that runs parallel to the y-axis.
Additionally, this line does not traverse the origin. As a result, this equation has a line that runs vertically.
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3. Two apples and 3 pears cost $2.40. Five times the cost of an apple less three times the
cost of a pear is 65 ¢. What is the unit cost of an apple and a pear?
The unit cost of an apple and a pear are $1.27 and $1. 98 respectively.
What are algebraic expressions?Algebraic expressions are defined as expressions that comprises of variables, factors, constants, terms and coefficients.
They are also made up of arithmetic operations like;
Floor divisionMultiplicationAdditionSubtractionBracketParenthesesDivisionFrom the information given, we have that;
Let the apples be x
Let the pears by y
2x + 3y = 2.40
5x - 3y = 6.5
Let's solve the simultaneous equation
-1(2x + 3y = 2.40)
-2x - 3y = -2. 40
5x - 3y = 6.5
-2x - 5x = -2. 40 - 6.5
-7x = -8.9
x = $1.27
substitute the value for y
-2y -5(1.27) = -2.40
y = $1. 98
Hence, the values are $1.27 and $1. 98
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2. In a books sale, 1461 books were sold on Friday.
On Saturday 2396 books were sold.
a. How many books were sold on both days?
b. How many more books were sold on Saturday than on
Friday?
Answer:
1750 BOOKS
Step-by-step explanation:
Answer:
There were a total of 14 books on Friday and 2396 on Saturday to find the total amount sold on both days you will add the two together.
1,461 + 2,396 = 3,857
A. There were a total of 3, 857 books sold on both days.
To find how many more books were sold on Saturday than Friday, youn will subtract.
2,396 - 1,461 = 935
B. 835 more books were sold on Saturday than Friday.
Step-by-step explanation:
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Some animal become endangered and a trict law ha to be
implemented to protect them. What will you do to protect and help
them?
One of the most important things to do to protect endangered animals is to reduce the amount of habitat destruction caused by human activities.
This can be done by creating protected areas and limiting or banning activities like logging, mining, or development in sensitive areas. Additionally, it is important to reduce over-hunting and poaching of these animals. This can be accomplished by establishing quotas and strict regulations on allowable hunting and fishing, as well as increasing enforcement efforts to catch violators. It is also important to understand the life cycles and behaviors of the threatened species so that we can better protect them. This can be done through field research, monitoring, and analyzing population trends. Finally, it is important to develop conservation plans and strategies to protect the species. These could include habitat restoration, reintroduction programs, captive breeding, and other measures to ensure their survival.
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