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A square has a side length of 6 inches. It is enlarged and the new side length is 18 inches. What is the scale factor?

A. 3
B. 1/3
C. 12
D. 1/12

The ratio of Amy's loan repayments to her earnings last year was 7/23

An equation is an expression that shows the relationship between two or more numbers and variables.

A variable can either be dependent or independent. A dependent variable depend on other variable while an independent variable does not depend on other variables.

Amy earned £18400 and her total loan repayments were £5600. Hence:

Ratio of repayments to earnings = £5600 / £18400 = 7/23

The ratio of Amy's loan repayments to her earnings last year was 7/23

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Given:

The composite figure.

To find:

The volume of the given composite figure.

Solution:

Given composite figure contains a cuboid and a pyramid.

Length, breadth and height of the cuboid are 8, 6 and 4 respectively.

Volume of a cuboid is

[tex]V_1=length\times breadth\times height[/tex]

[tex]V_1=(8)(6)(4)[/tex]

Length and breadth of the pyramid is same as the cuboid, i.e., 8 and 6 respectively.

Height of pyramid = 10 - 4 = 6

Volume of a pyramid is

[tex]V_2=\dfrac{1}{3}\times length\times breadth\times height[/tex]

[tex]V_2=(\dfrac{1}{3})(8)(6)(6)[/tex]

The volume of composite figure is

[tex]V=V_1+V_2[/tex]

[tex]V=(8)(6)(4)+(\dfrac{1}{3})(8)(6)(6)[/tex]

It can be written as

[tex]V=(\dfrac{1}{3})(8)(6)(6)+(8)(6)(4)[/tex]

Therefore, the correct option is A.

Answer:

he faked too much

Step-by-step explanation:

Answer:

x = -12

Step-by-step explanation:

Step 1: Subtract 5x from both sides.

3x + 4 - 5x = 5x + 28 - 5x

-2x + 4 = 28

Step 2: Subtract 4 from both sides.

-2x + 4 - 4 = 28 - 4

-2x = 24

Divide both sides by -2.

-2x/-2 = 24/-2

x = -12

Answer:

x= -12

Step-by-step explanation:

The class Midpoint =( Lower class limit + Upper class limit )/2

The “midpoint” (or “class mark”) of each class can be calculated as: Midpoint = Lower class limit + Upper class limit /2 . The “relative frequency” of each class is the proportion of the data that falls in that class.

If we look at the question attached below then

Upper class limit = 69

Lower class limit =50

class midpoints= 50+69/2

class midpoint= 59.5

Hence, the Midpoint =( Lower class limit + Upper class limit )/2

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Answer:

speed and distance covered

Step-by-step explanation:

when the distance is a constant, the time is related inversely.

Answer:

10 percent

Step-by-step explanation:

7.5 times 10 = 75.

plez give me brainiest

Answer:

C.

Step-by-step explanation:

Keep, change, flip.

Keep the first number, change the division sign to a multiplication sign, and flip the numerator and denominator of the second number.

Answer:

C. 1/2 * 5/4

Step-by-step explanation:

Reciprocals

Step-by-step explanation:

44 + 45h = 179

45h = 179 - 44

45h = 135

h = 135/45

h = 3 It took 3h to repair

I hope that help's

Answer:

44.4%

Step-by-step explanation:

Given that:

Equation of best fit : y = 4x + 15

Where, y = number of trees x years after a planting program

When x = 3

y = 4(3) + 15 = 12 + 15 = 27 trees

When x = 6

y = 4(6) + 15 = 24 + 15 = 39 trees

Percentage change in total number of trees:

((39 - 27) / 27) * 100%

(12 / 27) * 100%

0.44444 * 100%

= 44.4%

Answer:

y = 6.32

Step-by-step explanation:

7^2-3^2= 40

hope it helped

Answer:

[tex]\frac{5}{7\\}[/tex] * [tex]\frac{3}{3}[/tex] = [tex]\frac{15}{21}[/tex]

Step-by-step explanation:

To get an equivalent fraction, we multiply by a fraction that is equal to one. The purpose is to alter the denominator of the fraction. To get from a denominator of 7 to 21 we multiply by 3. Therefore we will multiply 5/7 by 3/3 to get the new equivalent fraction with a denominator of 21.

Answer:

a0 - 15

Step-by-step explanation:

Answer:

$7 200

Step-by-step explanation:

Amount of money paid for charity = [tex]\frac{10}{100}[/tex] × $22 000

                                                         = $2 200

Remaining money left for children = $22 000 - $2 200 - $10 800

                                                         = $9000

Let the amount of money her son receives be x and the amount her daughter gets be 4x.

Son's $ + Daughter's $ = $9000

x + 4x = 9000

5x = 9000

Amount of money her daughter gets (4x) = [tex]\frac{4}{5}[/tex] × 9000

                                                                     = $7 200

Answer:

1/4=0.25

1/4

1/4=25℅

3/4=0.75

3/4

3/4=75℅

Answer:

I am sorry thats a lot to type out.

Step-by-step explanation:

I will say that to know if its rational, you have to see if the integer can be written in a fraction (like 0.333, 89/10, -4, 0)

Answer:

Whole numbers: 3, [tex]\sqrt{4}[/tex], [tex]\frac{49}{7}[/tex], zero

Integer but not whole: -100, -34, -4, -[tex]\frac{8}{4}[/tex]

Rational number: 9.23456, [tex]\frac{1}{2}[/tex], [tex]\frac{89}{10}[/tex], 0.333_

Irrational number: [tex]\pi[/tex], 0.456783_, [tex]\sqrt{8}[/tex]

Step-by-step explanation:

Whole number is any number that does not have a decimal and is not negative. [tex]\sqrt{4}[/tex] = 2. [tex]\frac{49}{7}[/tex] = 7. 0 is not negative and does not have a decimal so it is also a whole number.

Integers are any number that does not have a decimal and can be both positive or negative. -[tex]\frac{8}{4}[/tex] = -2.

A rational number can have a decimal but the decimal digits must terminate or the digit must repeat.  [tex]\frac{1}{2}[/tex] is 0.5.  [tex]\frac{89}{10}[/tex] is 8.9 and 0.333_ repeats the digit 3 so it is rational.

An irrational number can have a decimal and the decimal digits must list on forever or not repeat. [tex]\pi[/tex] is naturally an irrational number as it does not repeat and it spreads on forever. 0.456783_ does not repeat and goes on forever due to the dash at the back. [tex]\sqrt{8}[/tex] is also not rational.

Answer:

pog

Step-by-step explanation:

3. No, I am not using my resources very efficiently. This is because when we need to make more hiking boots you have to make fewer running shoes.

4. I would recommend for them to focus on the hiking boots more because they use less material to make them.

hope this is correct c:

Yes, my resources are being used efficiently if I choose point D, as then I will be making equal amounts of product (1 to 1 ratio).

What is a statistics?

'Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.'

According to the given problem,

This is the most efficient point by far compared to the others, because the two axes are the closest together out of all of the 7 points.

I would recommend that the Shoe Hut focus on both of them, as they have a perfect 1 to 1 ratio.

However, if needed, it is possible to allocate all production power towards running shoe insoles at a 15 to 0 ratio compared to hiking shoe insoles at10 to 0.

Hence, we concluded that, It would be better for the shoe hut to focus on running shoe insoles because they are easier to produce and there is less production of cost.

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Answer:

32

Step-by-step explanation:

4(4^(2)-8)+(25-5^(2))

4(8)+(25-25)

32+0

=32

PEMDAS.

Using a linear function, it is found that:

a) 36 ounces of food were there after 12 days.

b) It took 24 days for the bag to contain 16 ounces of food.

c) The bag weighed 56 ounces before it was opened.

d) It took about 33 days for the bag to be empty.

A linear function is defined according to the following rule:

y = mx + b

In which:

From the graph of the function, we have that:

Hence the function for the amount of food after t days is given by:

A(t) = 56 - 1.6667t.

After 12 days, the amount is given by:

A(12) = 56 - 1.6667(12) = 36 ounces.

From the graph, we have that:

The graph of the function is missing, and is given at the end of the answer.

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Answer:

[tex]P= x-0.2x[/tex]

Step-by-step explanation:

Step one:

given

Everything at a store is on sale the store offers a 20% discount

The regular price of the t-shirt is $10

Required

The price of an item that cost $x

Step two:

the cost of the discount will be

= 20/100*x

= 0.2x

let the new price be P

[tex]P= x-0.2x[/tex]

The 60 ounces equals 3.75 pounds.

We are given in question the relation between pound and ounce. So, using that to find out the result of converting 60 ounces to pound. We will simply divide the given number of ounces by number of ounces in a pound.

Representing the given relation in equation form -

16 ounces = 1 pound

Thus, 1 ounce = [tex]\frac{1}{16}[/tex] pounds

Rewriting the equation for 60 ounces

So, number of pounds in 60 ounces will be = [tex]\frac{1*60}{16}[/tex]

Performing multiplication and division to find the number of pounds in 60 ounces to

Number of pounds in 60 ounces = 3.75

Thus,  the result of converting 60 ounces to pounds is 3.75 pounds.

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Answer:

x = ±7

Step-by-step explanation:

[tex]a^2+b^2=c^2[/tex]

[tex]x^2+24^2=25^2[/tex]

[tex]x^2+576=625[/tex]

[tex]x^2=49[/tex]

x = ±7

Answer:

x = ±7

Step-by-step explanation:

i did this before

Answer:

33

Step-by-step explanation:

90-57 = 33

Answer:

33 degrees

Step-by-step explanation:

its a right triangle which is 90 degrees so if you just subtract 90-57 you'll get your answer which is 33.

Answer:

D. 0.04

Step-by-step explanation:

Because 400 and 40 are whole numbers. 0.4 is a decimal meaning is 40% and 0.04 is in the hundreds so is 4%

Answer:

Step-by-step explanation:

You can do this using a small equation.

120% x = 96                    Change 120% to a decimal

120/100 * x = 96             Multiply by 100

120x = 96 * 100

120x = 9600                   Divide by 120

x = 9600/120

x =  80

Look what you got. 20% more than 80 is 96. x is smaller than 96.

If you take 20/100 * 80 = 16

if you add 16 to 80, you  get 96

Answer:

x = 80

Step-by-step explanation:

120 % of x = 96

or, 120/ 100 × x = 96 change percentage to 100 and devide

or, 6 / 5 × x = 96

or, 6x / 5 =96. multiply 6 and x

or, 6x = 96 × 5. change devide sign to multiply

or, 6x = 480. multiply

or, x = 480 / 6. change multiply sign to devide

therefore, x = 80

hope this answer will help you.

have a great time

Answer:

j = $7

b = $12

c = $15

Step-by-step explanation:

Let

j = cost of one pound of jelly

b = cost of one pound of Bonbon

c = cost of one pound of chocolate

First week:

two pounds of Jellies and two pounds of Bonbons for $38.

2j + 2b = 38

Second week:

two pounds of Jellies and four pounds of Chocolates for $74

2j + 4c = 74

Third week:

two pounds of Jellies, two pounds of Bonbons and one pound of Chocolates for $53.

2j + 2b + c = 53

Recall,

2j + 2b = 38

So,

38 + c = 53

c = 53 - 38

= 15

c = $15

Substitute c = 15 into

2j + 4c = 74

2j + 4(15) = 74

2j + 60 = 74

2j = 74 - 60

2j = 14

j = 14/2

= 7

j = $7

Substitute j = 7 into

2j + 2b = 38

2(7) + 2b = 38

14 + 2b = 38

2b = 38 - 14

2b = 24

b = 24/2

= 12

b = $12

Answer:

300, percentage increased by 12% (percent) of its value = 336

Step-by-step explanation:

Step-by-step explanation:

you can ask questions for clarification

Answer:

$564.59

Step-by-step explanation:

you divide.

Answer:

n = 8

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define Equation

6n + 7 = 55

Step 2: Solve for n

Step 3: Check

Plug in n into the original equation to verify it's a solution.

Here we see that 55 does indeed equal 55.

∴ n = 8 is a solution of the equation.

Answer:

n =8 I hope this helped

Solution:

6n +7-7=55-7

I hope this helped