How do you find ratios?
For example, if there are 5 blue balls and 7 red balls. the ration of the blue balls with the red balls is
[tex]5\colon7[/tex]it can also be written as a fraction :
[tex]\frac{5}{7}[/tex]It is important to put the one that was mentioned first in the numerator. in this case is blue ball, that's why 5 came first. If we are asked what is the ratio of the red balls with the blue balls , then we will have to indicate 7 first. The ratio will have to be
[tex]\begin{gathered} 7\colon5 \\ or \\ \frac{7}{5} \end{gathered}[/tex]The sequence is important.
Find the value of x in the following equation:
1.2(3x + 5) = 3.6x + 6
Infinite solutions
No solution
x = 1.8
x = 0
1.2(3x+5)=3.6x+6
We move all terms to the left:
1.2(3x+5)-(3.6x+6)=0
We multiply parentheses
3.6x-(3.6x+6)+6=0
We get rid of parentheses
3.6x-3.6x-6+6=0
We add all the numbers together, and all the variables
=0
x=0/1
Hence, x = 0
what is 4 2/3 + 1 3/4?
Answer: 6 5/12
Step-by-step explanation: You could do 3x4 = 12
so, 2x4 = 8, also 3x3 = 9 which would be 4 8/12 + 1 9/12, then just add.
Answer:
6 5/12
Step-by-step explanation:
We can first begin by separating the whole number and the fraction:
4 + 2/3 + 1 + 3/4
After reordering, it becomes:
4 + 1 + 2/3 + 3/4
5 + 2/3 + 3/4
Now, we must find the common denominator for the fractions so that we may add them:
The common denominator is 12.
5 + 2(4)/3(4) + 3(3)/4(3)
5 + 8/12 + 9/12
5 + 17/12
Simplifying the improper fraction gives us:
5 + 1 + 5/12
And the final answer is:
6 + 5/12
6 5/12
Hope this helped!
₁ d 4. Ca are not to scale): 3,4 cm 37 mm 3,2 cm 4,3 cm b) 0.3. Calculate the perimeter of the polygons in centimeters
Question 3 (5 points) Convert the decimal 0.929292... to a fraction.
Answer:
92 over 100
Step-by-step explanation:
Look at this diagram:If KM and NP are parallel lines and m
Answer
Angle NOL = 70°
Explanation
Alternate angles are angles that are in opposite positions relative to a transversal intersecting two lines. If the two lines are parallel to each other, then alternate angles are equal.
We can see that Angle MLO and Angle NOL are alternate angles.
And since we have been told that KM and NP are parallel lines,
Angle NOL = Angle MLO = 70°
Hope this Helps!!!
Let f: R - {2} => RX => f (x) = (3x + 4) / (x-2)Is F a bijection?
A function is called bijective if it is one-to-one and onto.
To check one to one, let x1 = x2 , where x1, x2 belongs to R.
so, we can say that:
[tex]3x_1+4=3x_2+4[/tex]and
[tex]x_1-2=x_2-2[/tex]Given the condition that x1 and x2 are not equal to 2. So, the above equation implies that
[tex]\frac{3x_1+4}{x_1-2}=\frac{3x_2+4}{x_2-2}\Rightarrow f(x_1)=f(x_2)[/tex]So, it is a one-to-one function.
For onto function, let y= (3x + 4) / (x-2). Now, interchange x and y, and solve the equation fo y:
[tex]\begin{gathered} x=\frac{3y+4}{y-2} \\ \Rightarrow xy-2x=3y+4 \\ \Rightarrow xy-3y=2x+4 \\ \Rightarrow y(x-3)=2x+4 \\ \Rightarrow y=\frac{2x+4}{x-3} \end{gathered}[/tex]Here, the domain of the inverse of the function is R - {3}. But the function is R - {2} => R. So, it is not onto.
thus, the given function is not a bijection.
-3+n ≥ -4n-3 or 3n-4≥4n + 1
Answer:
-3+n ≥ -4n-3
Step-by-step explanation:
its good to use a number for n
if n = 5
-3+n ≥ -4n-3 or 3n-4≥4n + 1
for
-3+n ≥ -4n-3
-3+5 ≥ -4(5)-3
-2 ≥ -20-3
-2 ≥ -23
true
for
3n-4≥4n + 1
3(5)-4≥4(5) + 1
15-4≥20 + 1
11 ≥20 + 1
11 ≥21
not true
Two studies were done on the same set of data, where study a was a two-sided test and study b was a one-sided test. The p-value of the test corresponding to study a was found to be 0. 40. What is the p-value for study b?.
The p-value, used in null-hypothesis significance testing, represents the likelihood that the test findings will be at least as extreme as the result actually observed, assuming that the null hypothesis is true.
Therefore, the p-value for study b exists 0.080.
What is meant by p-value?The P value is the likelihood, for a particular statistical model, that the statistical summary would be either equal to or more extreme than the actual observed results if the null hypothesis were to hold.
In a two tailed test the probability of occurrence exists the total area beneath the critical range of values on both the sides of the curve (negative side and positive side)
Therefore, the probability values for a two tailed test as compared to a one tailed test exists given by the under given relation -
[tex]$p-\text { value }=P\left(Z < -\frac{\alpha}{2}\right)+P\left(Z > \frac{\alpha}{2}\right)$$[/tex]
simplifying the above equation, we get
[tex]$P \frac{\alpha}{2}=0.040$[/tex]
Substituting the given value in above equation, we get -
Probability values for a two tailed test
= 0.040 + 0.040
= 0.080
Therefore, the p-value for study b exists 0.080.
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6. Which of the following facts, if true, would allow you to prove that lines I and m are parallel? (1 point)
5/6
7 8
m22-m23
m27+m28=180*
Om24-m25
m26+m22=180°
1
3
4
2
m
Answer:
The first 3 answers
Step-by-step explanation:
∠2 and ∠3 are vertical angles which means they are congruent. That would then make ∠1 and ∠4 congruent.
∠7 and ∠8 = 180 means that is a straight line.
∠4 and ∠5 are alternate interior angles which make them congruent.
That would then mean ∠3 and ∠4 = 180 which is a straight line because ∠3 would then be a corresponding angle to ∠7.
A cereal bar contains 130 calories. The number c of
calories consumed is a function of the number b bars
eaten.
a. Does this situation represent a linear function?
Explain.
b. Find the domain of the function. Is the domain
discrete or continuous? Explain.
c. Graph the function using its domain.
The domain of the function will be; [0 ∞) and the domain is continuous.
What are the domain and range of the function?The domain of the function includes all possible x values of a function, and the range includes all possible y values of the function.
The number c of calories consumed is a function of the number b bars
eaten is represented by the linear function b = 130c
The domain of the linear function would be [0 ∞).
A whole number or a decimal number may be c.
Any data which can be expressed as a decimal is continuous data.
Therefore, the domain of the function will be; [0 ∞) and the domain is continuous.
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If [tex]f(x) = -4x^{5} and g(x) = 10x^9 - 12x^4 + 6[/tex] (what is f x g) x?
A.) [tex]-40x^{14} + 48a^{3} x^{9} +6[/tex]
B.) [tex]40x^{14} - 12x^{4} + 6[/tex]
C.) [tex]-40x^{14} + 48x^{9} - 24x^{5}[/tex]
D.) [tex]-40x^{9} + 48x^{4} - 24[/tex]
Answer:
C
Step-by-step explanation:
(f×g)x just means
f(x) × g(x)
Multiply the two given functions together. Use distributive property. To multiply terms with the same base, add the exponents.
see image.
5 Let A(-2,5) and B(5,0) be the endpoints of AB. What is the length of the segment?
The equation for finding the length between two points is:
[tex]l\text{ = }\sqrt[]{(y_2-y_1)^2+(x_2-x_1)^2}[/tex]where point 1 has coordinates (x1, y1) and point 2 has coordinates (x2, y2).
We assign A to be point 1 and B be point 2
Therefore,
[tex]\begin{gathered} l\text{ = }\sqrt[]{(0_{}-5_{})^2+(5_{}-(-2)_{})^2} \\ l\text{ = }\sqrt[]{(-5)_{}^2+(7_{})^2} \\ l\text{ = }\sqrt[]{25+49^{}} \\ l\text{ =}\sqrt{\text{74}} \end{gathered}[/tex]What is the maximum volume of a rectangular prism (or box) if the prism has a square base and a total surface area of 100 cm^2?
A) First, let x = the side length of the base and h = the height of the prism. Write and solve the equation for h.
B) Write a function for the volume of the box, V, in terms of x.
a. The equation for h is h = 100/x²
b. The function for the volume of the box V, in terms of x is:
v(x) = x²×h
Given, the prism has a square base and a total surface area of 100 cm².
A) let x = the side length of the base and
h = the height of the prism.
equation for h = ?
Volume = b × h
100 cm² = x² × h
h = 100/x²
B) a function for the volume of the box, V, in terms of x.
we know that x is the base and h is the height.
So, volume in terms of x :
v = b×h
v = x² × h
Hence we get the required answers.
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q - r - 3s = p solve for q
Answer:
q = p + r + 3s
Step-by-step explanation:
q - r - 3s = p solve for q
q - r - 3s = p
add r to both sides:
q - r - 3s + r = p + r
q - 3s = p + r
add 3s to both sides:
q - 3s + 3s = p + r + 3s
q = p + r + 3s
24, 10:33:13
If f(x) = 4x4 - 3x² + 4, then what is the remainder when f(x) is divided by
x + 3?
Answer:Given : f(x)=x
4
−3x
2
+4
f(2)=(2)
4
−3(2)
2
+4
=16−12+4=8
This can also be verified by the actual divison
A membership at Gym A costs $50 for 5 months. A membership at Gym B down the street costs $40 for 3 months. You write two equations in the form of y=kx to try and figure out which membership would be cheaper for a year. What is the value of k for the cheaper membership?
HELP PLS I NEED A ANSWER QUICKLY
The cost for a year is cheaper in Gym A.
The value of k for the cheaper membership is $10.
Which gym membership is cheaper?An equation in the form y = kx is known as a linear equation. A linear equation is an equation that increases at a constant rate.
In the equation : y = kx
y = dependent variable = total cost x = number of months k = constant of proportion / cost per monthk = y/x
Cost per month at Gym A = $50 / 5 = $10
Cost per month at Gym B = $40 / 3 = $13.33
Membership cost at Gym A for a year = $10 x 12 = $120
Membership cost at Gym B for a year = $13.33 x 12 = $160
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María compro dos boletos para una rifa con dis números
rosa compró 4 boletos calcular la
probabilidad de cada una de ganar
Answer:
translate to eng
Step-by-step explanation:
Mei Mei is younger than Xin. Their ages are consecutive integers. Find Mei Mei's age if the sum of Mei Mei's age and 5 times Xin's age is 143.
Mei Mei's age if the sum of Mei Mei's age and 5 times Xin's age is 143. is 23 years.
Let the ages be x and x+1 since they're consecutive numbers.
In this case the sum of Mei Mei's age and 5 times Xin's age is 143. This will be:
x + 5(x + 1) = 143
x + 5x + 5 = 143
Collect like terms
6x + 5 = 143
6x = 143 - 5
6x = 138
Divide
x = 138 / 6
x= 23
Mei Mei is 23 years.
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What is the probability of landing on a number greater then 5 and then landing on a number greater then 4
SOLUTION
Given the question in the image, the following are the solution steps to answer the question.
STEP 1: Write the formula for calculating probability
[tex]Probability=\frac{number\text{ of required outcomes}}{number\text{ of total possible outcomes}}[/tex]STEP 2: Find the probability of landing on a number greater than 5
[tex]\begin{gathered} Pr(greater\text{ than 5\rparen}=Pr(6\text{ and above\rparen} \\ Pr(greater\text{ than 5\rparen}=Pr(6)=\frac{1}{4} \end{gathered}[/tex]STEP 3: Find the probability of landing on a number
please fill in the missing
According to Table B, There is a series that is being followed next, i.e.,
m = (m+1) * (m-1)
In the given data,
Input is 5, then given output is 6 * 4, similarly
Input is 10, then given output is 11 * 9 which implies that
Output is the products of one more than input and one less than input
⇒5 = (5+1) * (5-1)
⇒5 = 6 * 4
again with 15 = (15+1) * (15-1) ⇒ 16 * 14
with 300 = (300+1) * (300-1) ⇒ 301 * 299
At last, we can construct a series from these data,
m = (m+1) * (m-1)
Where m is input and (m+1) * (m-1) is output of data.
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cards are drawn from a deck (52 cards) until the first spades comes out. the eighth card drawn is the first spade. what is the probability the next card drawn is the ace of spades?
Probability that an ace is pulled from the deck = A/T=4/52=1/13
52 cards are there in all.
Four aces are found in all of the card A's.
Thirteen spades in all.
Probability that an ace is pulled from the deck = A/T=4/52=1/13
likelihood that a spade will be the next card drawn =S/T=13/52=1/4
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A set of stickers contains 4 hearts for every 6 stars. Which choice contains an equivalent ratio of hearts to stars?
A box is to be made out of a
rectangular piece of cardboard that is 12 inches wide and 16 inches long. Squares x inches on a side are cut out of the corners and the sides are bent upwards.
What is the length of the box?
Length of the resulting box will be of (16-x) inches
How to make a cuboid from a rectangle?A rectangle can be made into a cuboid by cutting squares of equal length from each corners and then joining the edges.
Given, length of cardboard= 16inches
Width of cardboard= 12 inches
If squares of side x is cut out of the corners and the sides are bent upwards to make a box,
The dimensions of the resulting box will be,
Length= (16-x) inches
Width= (12-x) inches
Height= x inches
Therefore the length of the resulting box will be of (16-x) inches.
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A triangle has two sides of length 12 and 12. What is the largest possible whole-number length for the third side?
The largest possible whole-number length for the third side of the triangle is 23.
The total of any two sides in a triangle with sides a, b, and c MUST be less than the length of the third side.
You have a line segment, not a triangle if the third side's length equals the sum of the other two sides' lengths.
Here, the sum of the two sides of the triangle is 12 + 12 = 24.
Therefore, the length of the third side should be less than 24, and the whole number which is less than 24 is 23.
Hence, the length of the third side is 23.
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Select the correct answer.
Which of these graphs represents a function?
A. W
B. X
C. Y
D. Z
Answer:
The second graph (B: X?)
Step-by-step explanation:
The second graph (B?) is a function because the graphed line passes the vertical line test (no two points are vertically on top of each other).
Use slope to determine if lines AB and CD are parallel, perpendicular, or neither 10. A(3, 1), B(3,-4), C(-4,1), D (-4,5)m(AB) m(CD) Types of lines
Neither parallel nor perpendicular
Explanations:The points are:
A(3, 1), B(3,-4), C(-4,1), D (-4,5)
The slope of a line is given as:
[tex]m\text{ = }\frac{y_2-y_1}{x_2-x_1}[/tex]The slope of the line AB, m(AB), with gthe points A(3, 1), B(3,-4) is given as:
[tex]\begin{gathered} m(AB)\text{ = }\frac{-4-1}{3-3} \\ m(AB)\text{ = }\frac{-5}{0} \\ m(AB)\text{ =- }\infty \end{gathered}[/tex]The slope of the line CD, m(CD), with the points C(-4,1), D (-4,5) is given as:
[tex]\begin{gathered} m(CD)\text{ = }\frac{5-1}{-4-(-4)} \\ m(CD)\text{ = }\frac{4}{-4+4} \\ m(CD)\text{ = }\frac{4}{0} \\ m(CD)\text{ = }\infty \end{gathered}[/tex]A line that has an infinite slope is a vertical line
For the two lines to be parallel, m(AB) should be equal to m(CD)
For the two lines to be perpendicular, m(AB) = -1 / m(CD)
None of the conditions for paralleleism and perpendicularity is met, the lines AB and CD are neither parallel nor perpendicular
A sandwich shop serves 4 ounces of meat and 3 ounces of cheese on each sandwich. After making sandwiches for and hour the shop owner has used 91 combined ounces of meat and cheese. How many ounces of meat were used?
The number of ounces of meat were used is 52 ounces.
Given that, a sandwich shop serves 4 ounces of meat and 3 ounces of cheese on each sandwich.
What is the unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
There are 7 ounces of combined meat and cheese in each sandwich (4+3 =7)
Number of sandwiches can make with 91 ounce of meat and cheese
= 91/7
= 13 sandwiches
Number of ounces of meat = 13 × 4 = 52 ounces
Number of ounces of cheese = 13 × 3 = 39 ounces
Therefore, the number of ounces of meat were used is 52 ounces.
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HELP ASAP PLSSSPLSPSLPSLPLSS
Given f(x) = 3x − 4 and g(x) = f(2x), which table represents g(x)?
The values of g(x) at x = 1, 2 and 3 are 2, 8 and 14 respectively.
Which table contains the values of g(x)?
Since f(x) = 3x - 4 and g(x) = f(2x)
so, in f(x) = 3x - 4, we can replace x with 2x:
g(x) = f(2x) = 3(2x) - 4 = 6x - 4
when x = 1:
g(x) = 6(1) - 4
= 6 - 4 = 2
when x = 2:
g(x) = 6(2) - 4
= 12 - 4 = 8
when x = 3:
g(x) = 6(3) - 4
= 18 - 4 = 14
Therefore, when x = 1, 2 and 3, their corresponding values of g(x) are 2, 8 and 14. So 4th table contains the values of g(x).
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Answer: D
Step-by-step explanation: I Chose D and got it right for my quiz.
what is the answer to 8x= - 44 ?
We need to solve the following equation for x:
[tex]8x=-44[/tex]To isolate x, we divide both sides