Answers
Related Questions
Solve the system of one linear- one Quadratic equations algebraically.
x-y=3
x^2-3y=19
Answers
Answer:
x=-2 y=-5
x=5 x=2
X=5 x=2
Cffccccf
Shona has 14 dresses.
50% of these dresses are red.
She gives 5 of her red dresses to a charity shop.
She buys 1 new red dress.
What percentage of the dresses she has now are red?
Answers
Answer:
She has 3 dresses for sure! But I don't know the percentage!
She gives 5 red dresses away leaving 2 red out of 9 dresses
Now buys another red dress resulting in 3 red out of 10 dresses.
3/10 = 30% of her dresses are now red
Helppppppppppppppoopppppppppppp
Answers
Answer:
-7, -6, -4, -2, 7
Step-by-step explanation:
f(-4) = -4 - 3
f(-4) = -7
f(-3) = -3 - 3
f(-3) = -6
f(-1) = -1 - 3
f(-1) = -4
f(1) = 1 - 3
f(1) = -2
f(10) = 10 - 3
f(10) = 7
Simplify using order of operation 10^2-2[12-(3-2)]
Answers
Given the expression:
[tex]10^2-2\lbrack12-(3-2)\rbrack[/tex]We start from the parenthesis inside the brackets. We know that 3-2=1, then:
[tex]10^2-2\lbrack12-(3-2)\rbrack=10^2-2\lbrack12-(1)\rbrack=10^2-2\lbrack11\rbrack[/tex]now, we have that 10^2=100 and 2*11 =22, then:
[tex]10^2-2\lbrack11\rbrack=100-22=78[/tex]therefore, the result of simplifying the expression is 78
I have a graph with the question. If the parent function is y= 2 to the power of x plus 2, which is the function of the graph
Answers
The parent function of the graph is
[tex]y=2^x[/tex]The function of the grapg will be
[tex]y=2^{x\text{ + a}}\text{ + b}[/tex]at x equals infinity y equals 1
Therefore
[tex]\begin{gathered} \text{x =}\infty\text{ then y = 1} \\ \text{this implies} \\ b\text{ = 1} \end{gathered}[/tex]Therefore the function will now be
[tex]y=2^{x\text{ + a}}\text{ + 1}[/tex]from the graph
x = 2 when y = 2
Therefore,
[tex]\begin{gathered} 2=2^{2\text{ + a}}\text{ + 1} \\ 2-1=2^{2\text{ + a}} \\ 1=2^{2\text{ + a}} \\ \text{recall 1 = 2}^0 \\ 2^0=2^{2\text{ + a}} \\ 2\text{ + a = 0} \\ a\text{ = - 2} \end{gathered}[/tex]Therefore, the function is
[tex]y=2^{x\text{ - 2}}\text{ + 1}[/tex]Taylor works on an art project that uses only rectangular pieces of paper. The first rectangle ha length 3/8 and width of 3in. Detriment wether the dimensions of each rectangle described as a proportional to the dimensions of tailors first rectangle
Answers
By comparing the dimensions above with the dimensions of Taylor's first rectangle, we have the following:
No, a length of 6 in, width 3/4 in. is not proportional.Yes, a length of 1/2 in, width 4 in. is not proportional.No, a length of 1 1/8 in, width 9 in. is not proportional.No, a length of 3 in, width 5 5/8 in. is not proportional.What is a direct proportion?Mathematically, a direct proportion (direct variation) can be represented the following mathematical expression:
y = kx
Where:
y and x are the variables or dimensions.k represents the constant of proportionality.For the dimensions of the rectangular pieces of paper to be proportional, the length and width must remain in a constant ratio.
Next, we would determine the constant of proportionality (k) as follows:
k = y/x
k = (3/8)/3
k = 3/24
k = 1/8
For dimension 1, we have:
k = y/x
k = (6)/(3/4)
k = 24/3
k = 8 (No).
For dimension 2, we have:
k = y/x
k = (1/2)/4
k = 1/2 × 1/4
k = 1/8 (Yes).
For dimension 3, we have:
k = y/x
k = (1 1/8)/9
k = (9/8)/8
k = 9/8 × 1/8
k = 9/64 (No).
For dimension 4, we have:
k = y/x
k = (3)/(5 5/8)
k = 3/(45/8)
k = 3 × 8/45
k = 24/45 (No).
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Complete Question:
Taylor works on an art project that uses only rectangular pieces of paper. The first rectangle has length 3/8 in. and width 3 in. Determine which dimensions below are proportional to the dimensions of Taylor's first rectangle.
8. The smaller of two numbers is five less than half the larger number. Their sum is 13. Find the numbers,
Answers
Larger number: 12
Smaller number: 1
Let Statements:
Let x = the larger number
Let 1/2x - 5 = the smaller number
Equation:
x + (1/2x - 5) = 13
1.5x - 5 = 13
1.5x = 18
x = 12
Solutions:
The larger number = x = 12
The smaller number = 1/2x - 5 = 1/2(12) - 5 = 6 - 5 = 1
If a rectangular solid has a volume of 32 and then each dimension is doubled, what happens to the volume? A. The volume is multiplied by 3.B. The volume is multiplied by 8.C. The volume is multiplied by 6.D. The volume is doubled.
Answers
To find the volume of a rectangular prism, multiply its 3 dimensions: length x width x height
V1=LWH= 32
[tex]\begin{gathered} V2=2L\cdot2W.2H \\ V2=8(\text{LWH)} \end{gathered}[/tex]Ex
2*4*4=32
Let's multiply all dimension by 2
4 * 8 * 8 =256
Answer:B. The volume is multiplied by 8.
A data set includes the following numbers: eighteen over 5, two and four fifths, 97%, and 1.74. Part A: What is the order of the numbers from least to greatest? Write your answer using the numbers in their original form. (2 points) Part B: Did you use estimation or rewrite the numbers in equivalent forms? Please explain your answer. (2 points)
Answers
Answer:the answer is a
Step-by-step explanation:
which equation represents a linear function
Answers
The linear function will be;
⇒ y = - 4x + 5
What is linear expression?
A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power.
Given that;
The functions are,
1. y = - 3x² + 2
2. y = 2x²
3. y = - 4x + 5
4. y = x³
Now,
Since, The linear function has a variable raised to the first power.
Clearly, In first equation;
The highest power of the variable is 2.
So, It is not a linear function.
Clearly, In second equation;
The highest power of the variable is 2
So, It is not a linear function.
Clearly, In third equation;
The highest power of the variable is 1.
So, It is a linear function.
Clearly, In fourth equation;
The highest power of the variable has power 3.
So, It is not a linear function.
Therefore, The linear function will be;
⇒ y = - 4x + 5
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the measure of the angle of a triangle are shown in the figure below. solve for x
Answers
Answer:
Step-by-step explanation:
A triangle is 180°
One angle is a right angle = 90°
And one is an acute angle of 27°
So 90+27= 117
You subtract 180 with 117 to get the answer of
X= 63°
Need help on this question with some explanation "Graph the image of the figure on the right under the given translation". T(3,2) (x,y) . Thanks in advance!
Answers
ANSWER
[tex]A[/tex]EXPLANATION
The given translation
[tex](3,2)[/tex]This means the shape will be translated 3units to the right and 2 units up.
That is;
[tex]\begin{gathered} (x+3) \\ (y+2) \end{gathered}[/tex]Mr. Reed is drawing a blueprint of a rectangular patio. The width of the patio is 40 3/4 feet shorter than twice its length. The perimeter of the patio is 86 1/2 feet. What is the length of the patio?
Answers
Answer:
length = 28 feet
Step-by-step explanation:
let length = x
width = 2x - 40 3/4
= 2x - 163/4
= 2x - 40.75
perimeter of a rectangle = 2(l+w)
according to the question:
86 1/2 = 2(l+w)
86.5 = 2(x + 2x - 40.75)
86.5 = 2(3x - 40.75)
86.5 = 6x - 81.5
86.5 + 81.5 = 6x
thus, x = 28
2(5+x)-1=3x+9splve for x
Answers
2(5 + X) - 1 = 3X + 9
Step 1: Expand the terms in the bracket
=> 2 x 5 + 2 x X - 1 = 3X + 9
=> 10 + 2X - 1 = 3X + 9
Step 2: collect like terms
=> 2X - 3X = -10 + 1 + 9
=> -X = 0
Shawn and his bike have a total mass of
48.1 kg. Shawn rides his bike 1.5 km in
12.5 min at a constant velocity.
The acceleration of gravity is 9.8 m/s
2
.
What is Shawn’s kinetic energy?
Answer in units of J.
Answers
If the velocity is 2 meters per second. Then the kinetic energy of the Shawn will be 96.2 Joules.
What is kinetic energy?The energy an item has as a result of motion is known as kinetic energy in mechanics. It is described as the effort required to move a mass-determined body from rest to the indicated velocity. The body holds onto the kinetic energy it acquired during its propulsion until its speed changes.
The kinetic energy is given as,
KE = (mv²)/2
Where m is the mass and v is the velocity.
Shawn and his bike have a total mass of 48.1 kg. Shawn rides his bike 1.5 km in 12.5 min at a constant velocity.
The velocity is given as,
v = 1.5/12.5
v = 0.12 km/min
v = 0.12 x 1000 / 60
v = 2 m/s
Then the kinetic energy of Shawn will be given as,
KE = (48.1 x 2²) / 2
KE = 48.1 x 2
KE = 96.2 J
If the velocity is 2 meters per second. Then the kinetic energy of the Shawn will be 96.2 Joules.
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an oil prospector will drill a succession of holes attempting to find a productive well. assume the probability of being successful on any drilling is 0.15, and that outcomes of drillings are independent. what is the expected number of drilling attempts needed in order to find a productive well? what is the probability that the first productive well is found on the third attempt? if the prospector can only afford to drill five holes, what is the probability that the prospector will fail to find a productive well
Answers
The oil prospector drills wells with a success probability of 0.15. The probability of finding the first productive well in the third attempt is 0.108375 and the probability that the prospector fails to find productive well in the first 5 attempts is 0.26724 or 26.724%
Let Y be the number of drilling trials on which the prospector will find the first productive well. As Y is a geometric random variable with p=0.15 where p is the probability of being successful on any drilling. Let q = 1- p be the probability of being unsuccessful in drilling a well. q = 1 - 0.15 = 0.85
The probability that the first productive well is found on the third attempt is when outcomes are independent
P(Y=3) = q * q * p = 0.85^2* 0.15 = 0.108375
We want to find the probability that 5 wells are drilled and not a productive one is found. That is we need to find p(Y>5). Y is a binomial random variable with several wells drilled at most as n. Given n=5 and p=0.15, q = 0.85
We know the geometric probability is p(y) = [tex]q^{y-1}[/tex]p
Then corresponding probabilities are added
p(Y≤ 5 ) = p(0) + p(1) +p(2) + p(3) +p(4) +p(5)= 0.73276
Using the complement rule:
p(Y>5) = 1 - p(Y≤5) = 1- 0.73276 = 0.26724 = 26.724 %
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Which equation demonstrates the identity property?? (question 2\10 in 6th g math) ( be fast pls need this right now)
A. (3x4)+(3x5)=3(4+5)
B. 3x5=5x3
C. 3(4x5)=(3x4)x5
D. 4x1=4
(15 points)
Answers
Answer: The identity property of multiplication states that multiplying a number by one will result in the original number. 1 * x = x
Step-by-step explanation:
a)
12 +15 = 3 *9
27= 27
1
B) 15=15
=1
c) 3*20=12*5
60=60
=1
d) 4=4
=1
Frigidia is a colony in Antarctica. The colony is 1,000 square kilometers in size. Currently, 30,000 people live there. Last year, 10,000 children were born and 2,000 people immigrated. 20,000 people died and 5,000 emigrated. It is believed that the island could support up to 50 people per square kilometer.
The current growth rate is ___.
4.3 %
-4.3%
-43%
43%'
Answers
Answer:
ewan ko po pero yan yung alam ko4.3%
I hope its help
subtract the equation[tex](7x - 2) - (3x - 5)[/tex]
Answers
(08.07) 10 8 6 + 4 3 -2 2 2 -8 -10 -12 - 14 + -16 Which of the following functions best represents the graph? (4 points) Of(x) = x3 + x2 - 9x - 9 f(x) = x3 + 4x2 - X-4 Of(x) = x3 + 3x2 – 3x - 9 Of(x) = x3 + 2x2 - 4x - 8
Answers
Given data:
The given graph of the polynomial.
The value of the given polynomial is zero, at x=-3, -1, and 3.
Substitute -3 for x in the expression of the first polynomial.
[tex]\begin{gathered} f(-3)=(-3)^3+(-3)^2-9(-3)-9 \\ =-27+9+27-9 \\ =0 \end{gathered}[/tex]Substitute -1 for x in the expression of the first polynomial.
[tex]\begin{gathered} f(-1)=(-1)^3+(-1)^2-9(-1)-9 \\ =-1+1+9-9 \\ =0 \end{gathered}[/tex]Substitute 3 for x in the expression of the first polynomial.
[tex]\begin{gathered} f(3)=(3)^3+(3)^2-9(3)-9 \\ =27+9-27-9 \\ =0 \end{gathered}[/tex]As all the points are satisfied for the first option.
TThus, the first option is correct.
i need help but my chromebook doesn't accept the ads
Answers
Answer:
Whats the question?
Kelly likes to fish at the lake near her house. She caught 8 fish last week, measured them, and put them back in the lake. The lengths of the fish, in inches, are shown.
9, 12, 10, 8, 11, 12, 13, 6
Assuming this data is representative of the fish in the lake, what is the mean length of the fish in the lake?
Answers
Answer:
the mean is 12
Step-by-step explanation:
a mean is a set of numbers of two or more numbers
so becuase 12 repeats there, its your mean
Please help! It’s urgent! 2+4x-12-2y+1x
Answers
The result of the algebraic expression is 5x - 2y - 10.
Algebraic Expression:
An algebraic expression is an expression which is made up of variables and constants, along with algebraic operations (addition, subtraction, etc.).
Given,
Here we have the expression 2+4x-12-2y+1x.
Here we have to solve this expression and we have also find simplified form of it.
In order to solve it,
First we have to write the given expression,
=> 2+4x-12-2y+1x
Now, we have to combine the like terms, then we get,
=> (4x + 1x) + (2 - 12) - 2y.
Now, we have to perform the appropriate operation on it,
Then it can be written as,
=> 5x + (-10) - 2y
Now we have to write the equation in the standard form, then we get the result as,
=> 5x - 2y - 10.
Therefore, the resulting standard form of the equation is 5x - 2y - 10.
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Classify the triangle with sides of lengths 25 ft, 23 ft, and 8 ft.
equilateral triangle
O scalene triangle
isosceles triangle
Answers
all sides have different lengths
The sum of three consecutive even integers is 20 less than four times the
first. What are the integers?
Answers
The most appropriate choice for linear equation will be given by -
The integers are 26, 28, 30
What is linear equation?
At first it is important to know about equation
Equation shows the equality between two algebraic expressions by connecting the two algerbraic expressions by an equal to sign.
A one degree equation is known as linear equation.
Here,
Let the integers be x - 2, x, x + 2
Sum = x - 2 + x + x + 2 = 3x
20 less than Four times the first = 4(x - 2) - 20
By the problem,
[tex]3x = 4(x - 2) -20\\3x = 4x - 8 -20\\4x - 3x = 28\\x = 28[/tex]
The integers are 28 - 2, 28, 28 + 2
The integers are 26, 28, 30
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Answer the question below
Answers
Answer:
(a)
[tex] log_{2}(7) + log_{2}(3) = log_{2}(21) [/tex]
(b)
[tex] log_{9}(7) - log_{9}(8) = log_{9}( \frac{7}{8} ) [/tex]
(c)
[tex] log_{2}( \frac{1}{9} ) = - 2 log_{2}(3) [/tex]
Mason went to the grocery store and bought bottles of soda and bottles of juice. Each bottle of soda has 45 grams of sugar and each bottle of juice has 15 grams of sugar. Mason purchased a total of 11 bottles of juice and soda which collectively contain 285 grams of sugar. Write a system of equations that could be used to determine the number of bottles of soda purchased and the number of bottles of juice purchased. Define the variables that you use to write the system
Answers
The number of soda bottles = 4
The number of sugar bottles = 7
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Weight of each bottle of soda = 45 grams
Weight of each bottle of sugar = 15 grams
Total weight of sugar and soda = 285 grams
Let the number of soda bottle = x
And, The number of sugar bottle = y
Since, Total number of bottles = 11
So, We can formulate;
⇒ x + y = 11 .... (i)
And, Weight of each bottle of soda = 45 grams
Weight of each bottle of sugar = 15 grams
Total weight of sugar and soda = 285 grams
So, We can formulate;
⇒ 45x + 15y = 285 ... (ii)
Multiply by 15 in equation (i) and subtract from (ii), we get;
⇒ 45x + 15y - 15x - 15y = 285 - 165
⇒ 30x = 120
Divide by 30;
⇒ x = 4
Hence, x + y = 11
4 + y = 11
y = 11 - 4
y = 7
So, The number of soda bottles = 4
The number of sugar bottles = 7.
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How much time will it take for these two vehicles to meet?
34 miles, 55mph, 30mph
Answers
The time for the two vehicle will meet is 0.4 hours .
How to find the time the two vehicles will meet?According to the diagram, the first car drive at a speed of 55 miles per hour and the second vehicles drives at a speed of 30 miles per hour.
The distance apart of the cars is 34 miles.
Speed is measured as the ratio of distance to the time in which the distance was covered.
In other words, speed is the distance travelled per unit of time.
speed = distance / time
Therefore,
distance = speed × time
Hence,
let
x = time use by the car
Therefore, the total distance can be express as follows:
55x + 30x = 34
85x = 34
divide both sides by 85
85x / 85 = 34 / 85
x = 0.4 hours.
Therefore, it will take 0.4 hours for the cars to meet.
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Solve for b.
1.34(b + 2) = 9.38
Answers
Answer:
Step-by-step explanation:
1.34(b + 2) = 9.38
=> (b+2) = [tex]\frac{9.38}{1.34}[/tex]
=> (b+2) = [tex]\frac{9.38}{1.34}[/tex] x [tex]\frac{100}{100}[/tex]
=> b+2 = 7
=> b = 7-2
=> b = 5
To solve the equation, we must subject b
so as 1.34 is in multiplication form with (b+2), if we take it to the other side of equals sign, it will be inverse which means it will be dividing 9.38
by multiplying 100/100 with the fraction, the decimals can be removed (100 because the dot of decimal is considered one and there are two digits after dot, so two zeroes)
then by simple division we can find 7
then as 2 is added with be if it goes to other side it will be inverted and be subtracted from 7
so we get 5
eli needs to order some new supplies for the restaurant where he works. .Therestaurant needs at least 546 knives. There are currently 312 knives. If each set on
sale contains 10 knives, write and solve an inequality which can be used to determine
x, the number of sets of knives Eli could buy for the restaurant to have enough
knives.
Answers
Eli could buy is at least 24 sets of knives
How to determine the number of sets of knives Eli could buy?From the question, we have the following parameters:
Number of knives needed = At least 546Number of knives in the restaurant = 312Number of knives per set = 10Let the number of sets be x
So, we have the following representations
Number of knives needed = Number of knives needed + Number of knives per set x Number of set
So, we have
312 + 10x ≥ 546
Evaluate the like terms
10x ≥ 234
Divide by 10
x ≥ 23.4
Rewrite as
x ≥ 24
Hence, the number of sets of knives Eli could buy is at least 24
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Answer:
Inequality: 312+10x≥546
x≥24
Step-by-step explanation:
its the same as the bottom