Type the correct answer in each box. Use numerals instead of words.
This table represents function f.
х
-3
2
3
7
у
-2
8
10
18
Complete this table to represent the inverse of function f.

Answer:

A = 6

Step-by-step explanation:

just multiply the width by the length

Answer:

The volume of the 12% sugar solution required, 'X' for a given volume of the 8% sugar solution, 'Y' is;

X = (2·Y + 15)/2

When the volume of the 8% sugar solution, Y = 2 quartz, the volume of the 12% sugar solution required, X = 9.5 gallons

Step-by-step explanation:

The data of the sugar solutions are;

The volume of 5% sugar solution Kate has = 3 quarts

The volume of the 12% sugar solution = X

Let 'Y' represent the volume of the 8% sugar solution, we have;

The volume of the resultant solution, Z = X + Y + 3

The concentration of the resultant solution = 10%

0.05 × 3 + 0.08·Y + 0.12·X = 0.1·(X + Y + 3)

Solving gives the relationship between the volume of the 12% sugar solution, 'X', and the 8% sugar solution, 'Y' in quartz, as follows;

X = (2·Y + 15)/2

When the volume of the 8% sugar solution, Y = 2 quartz, we have;

X = (2 × 2 + 15)/2 = 9.5

Therefore, the volume of the 12% sugar solution Katie requires to make the 10% sugar solution is 9.5 quartz.

Answer:

Step-by-step explanation:

No attempt is made to influence anything - just ask questions and record the responses. By definition, An observational study measures the characteristics of a population by studying individuals in a sample, but does not attempt to manipulate or influence the variables of interest.

Answer:logan

Step-by-step explanation:

I did it on a test and got it right.

Answer:

10 % of 60$ => 10/100 × 60$ => 6$

6$ for 7 cds => 42 $

Answer:

Step-by-step explanation:

the geo. mean is the nth root of the product of n numbers

Here there are two numbers; geo. mean is the square root of their product

g = √(16 * 36)

g = 4 * 6

g = 24

Geometric mean is the mean which is the average of a set of a product.

The geometric mean of the given numbers is 24.

Geometric mean is the mean which is the average of a set of a product.

It can be given as,

[tex](\prod_{i=1}^{n}x_i)^{1/n}=\sqrt[n]{x_1\times x_2\times x_3...........x_n}[/tex]

Here [tex]x_i[/tex] is the values of the average and [tex]n[/tex] is the number of values.

Given information-

The numbers given in the problem is 16 and 36.

The Geometric mean for the number 16 and 36 has to find out.

Use the above formula to find the geometric mean for the number 16 and 36. Thus,

[tex]\prod=\sqrt{16\times36}[/tex]

[tex]\prod=\sqrt{576}\\\prod=24[/tex]

Hence the geometric mean of the given numbers is 24.

Learn more about the geometric mean here;

https://brainly.com/question/47038

Answer:

First of all are we solving for x

Step-by-step explanation:

4 × 3 = 12 =

6 - 2 ×

Answer:

[tex]9x - 19 = 7x + 13 \\ 2x = 32 \\ x = 16 \\ 3y - 17 + 9x - 19 = 180 \\ 9x + 3y = 180 + 17 + 19 \\ 9x + 3y = 216 \\ 3y = 216 - 144 = 72 \\ y = \frac{72}{3} = 24[/tex]

Answer:

[tex]m<U = 103[/tex]

Step-by-step explanation:

The given trapezoid is an isosceles trapezoid, meaning that the two legs of the trapezoid (sides that intersect the parallel lines) are congruent. One of the proprieties of an isosceles trapezoid is that the opposite angles are supplementary, meaning that the sum of the opposite angles is 180. One can apply this theorem here by stating the following,

[tex]m<S + m<U = 180[/tex]

Substitute,

[tex]77+m<U = 180[/tex]

Inverse operations,

[tex]77+m<U = 180[/tex]

[tex]-77[/tex]

[tex]m<U = 103[/tex]

Answer:

[tex] m\angle U = 103\degree[/tex]

Step-by-step explanation:

[tex] m\angle T + m\angle S = 180\degree [/tex] (interior angles on the same side of transversal)

[tex] m\angle T + 77\degree = 180\degree [/tex]

[tex] m\angle T = 180\degree- 77\degree[/tex]

[tex] m\angle T = 103\degree[/tex]

[tex] m\angle U =m\angle T [/tex]

(base angles of an isosceles trapezoid)

[tex] m\angle U = 103\degree[/tex]

Answer:

The price is $887.81.

Step-by-step explanation:

Multiply $823.95 by 0.075 to find the sales tax. Then add that number to the total, $823.95, to get $887.81.

Answer:

50 cm²

Step-by-step explanation:

5 · 6 = 30 cm²

14 - 6 = 8

8 · 5 = 40 cm²

40 cm² ÷ 2 = 20 cm²

30 cm² + 20 cm²

50 cm²

Answer:

-28

Step-by-step explanation:

-16 +(-12)

= -16 - 12

adding both of them,

= - 28

Answer:

32

Step-by-step explanation:

[tex]\frac{8^{3}}{4^{2}} = \frac{512}{16} = 32[/tex]

Answer:

32.

Step-by-step explanation:

[tex]8^3/4^2[/tex]

First, simplify the exponents by converting the exponents into numbers.

[tex]8^3=512[/tex]

[tex]4^2=16[/tex]

Lastly, divide as normal.

[tex]512/16=32[/tex]

Therefore, 8³ ÷ 4² = 32.

Answer:

300 girls, 200 boys

Step-by-step explanation:

To find boys: 500 x 0.4 = 200

To find girls: 500 x 0.6 = 300

60% girls

Answer:

55

Step-by-step explanation:

if it cost 2,145 for the whole thing and 39 for each person 2,145 divide by 39= 55

Answer:

8

Step-by-step explanation:

This is a right triangle, which fits the Pythagorean Theorem, a^2 +b^2 = c^2. The variables a, b, and c all are sides of the triangle, while a and b are the two legs and c is the hypothenuse.

In this problem, we see that 6 and x are the legs and 10 is the hypothenuse.    We put 6 as "a" and x as "b" (but it doesn't matter which is a and b) and 10 is c. Therefore, we have the equation:

6^2 + x^2 = 10^2

which further simplifies to:

36 + x^2 = 100

x^2 = 64

and so x would equal 8 (or -8, but it is impossible to have a side length of -8).

Therefore, the missing side is 8.  

Answer:

The missing side is x=8

Step-by-step explanation:

The missing side equation is a²+b²=c²

So we plug in 6²+b²=10²

This gives us 8²

Answer:

138

Step-by-step explanation:

Answer:

21.91 meters

Step-by-step explanation:

Since they already give you the hypotenuse, you will find the other missing side using this formula:

A= [tex]\sqrt{c^2 - b^2}[/tex]

So c² = 1,156

and b² = 676

1156 - 676 = 480

------

The square root of 480 is around 21.91

Let's double check, to double check, pretend that you don't know the hypotenuse, but you know the a and b sides.

So: 480.05 + 676 = 1,156.05

[tex]\sqrt{1156.05}[/tex] ≈ 34

-------

Have a good day :)

Answer:

its 2.7% :D

Step-by-step explanation:

Im doing the quiz rn

explaination:

12/79 x 14/79 = 168/6241 (79 is the total fish)

168/6241 = 2.7% (rounded)

Hope I helped :D

Answer:

½

Step-by-step explanation:

since they're 4 of them and she has 1 chance of being 1st or 2nd...it would be 2 out of 4 and when simplified it is ½

Answer:

958.99

Step-by-step explanation:

Since the nine is bigger than four, you'd make the eight a nine.

For further help I suggest this website:

https://www.varsitytutors.com/hotmath/hotmath_help/topics/rounding-decimals

Answer:

What it is is basically when you take the area of every side of a three dimensional shape and then add it all together.

don't know if this is what you were looking for but I hope this helps.

Answers:

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Explanations:

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Explanation for problem 4

We have 68 people who split the check out of 122 total. That leaves 122-68 = 54 people who don't split the check. These two values are the row totals for rows 1 and 2 in that order. So you'll have 68 at the end of row 1, and 54 at the end of row 2. Refer to the diagram below.

We have 56 people who prefer to skip dessert, meaning 122-56 = 66 people who order desert. We'll have 66 followed by 56 along the first two items in the bottom row. The grand total 122 is in the bottom right corner. The 122 is both in the total row and total column.

Then we're told that 50 people order desert and split the check. We had 68 people split the check, leaving 68-50 = 18 people who split the check, but didn't get dessert. For the first row, we have the values 50, 18, and 68. Note that 50+18 = 68.

In the second row, we must have the values 16, 38, and 54 in that order. The blank spaces are filled in using the same ideas as I've discussed in previous paragraphs.

The terms in gray boxes represent the totals, which would be left out when forming the table in your final answer. Meaning you'll have a 2x2 table instead of a 3x3 table.

Question: Mai had $14.50. She spent $4.35 at the snack bar and $5.25 at the arcade. What is the exact amount of money Mai has left?

Answer: $4.90

Steps: Step 1: Find operation: The operation in this problem is subtraction because words such as "spent" means that she used money, meaning we subtract.

Step 2: Figure out order of numbers: Now that we know that the operation is subtraction, we need to know what numbers to subtract. The problem says that Mai had $14.50, which means that this is the total amount of money she had when she started. Spent means that Mai used money, so this means that we subtract like this: $14.50-$4.35-$5.25.

Step 3: Subtract: Now that we know what operation to use, and what order to use the numbers, we can finish the problem:

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Question: Kristina rides her bicycle 384.25 miles over 29 weeks to and from her job. How many miles does she ride each week to and from her job if she rides the same amount each week?

Answer: 13.25

Steps: 1: Find operation: To solve this question, we need to find the operation. Words such as "same amount each week" mean that this is division.

Step 2: Figure out order of numbers: Now, we need to figure out what to divide by. We divide 384.25 by 29 because it say that she rides 384.25 miles over 29 weeks.

Step 3: Divide: Now, we will solve the equation: 384.25 divided by 29 is 13.25, so the answer is 13.25.

Hope this helps you!

P.s. Sorry I could not show how to divide 384.25 by 29.

She would have sold 96 cars in total.

Answer:

C. 22

Step-by-step explanation:

C = circumference

n (pi) = 22/7

r = 3 1 /2

Plug in the numbers for each variable.

C = 2x (22/7) x (3 1/2)

Change the mixed number inIto an improper fraction by multiplying 3 x 2 and adding the 1 which gives us 7 over 2 because 2 is our denominator  so, 3 1/2 = 7/2. It also helps to have 1 as the denominator for 2.

C = (2/1) x (22/7) x (7/2)

Lastly, just multiply the numerators across which give us 308 then multiply the denominators across which gives us 14, so then we divide 308 by 14 and get 22.

Answer:

Mila= 420 Nadia= 60

Step-by-step explanation:

Let's call Mila 7x. And x to Nadia. The two of them had a total of 480s.

Then we say 7x + x. Their total is 8x. So 480 = 8x. We divide both sides by 8. Here x = 60. Since Mila is 7x, we find Mila as 7.60 = 420, and since Nadia as x, we find Nadia as 1.60 = 60.

If there is any place you don't understand, you can ask.

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