Grayson is drawing a two dimensional shape and its dilation in a coordinate plane. Which attribute of this
shape will remain unchanged?

Given:

The ratio is

[tex]\dfrac{1}{4}:\dfrac{1}{3}[/tex]

To find:

The given ratio as unit rate.

Solution:

We have,

[tex]\dfrac{1}{4}:\dfrac{1}{3}[/tex]

Fraction form of given ratio is

[tex]\dfrac{1}{4}:\dfrac{1}{3}=\dfrac{\dfrac{1}{4}}{\dfrac{1}{3}}[/tex]

[tex]\dfrac{1}{4}:\dfrac{1}{3}=\dfrac{1}{4}\times \dfrac{3}{1}[/tex]

[tex]\dfrac{1}{4}:\dfrac{1}{3}=\dfrac{3}{4}[/tex]

[tex]\dfrac{1}{4}:\dfrac{1}{3}=0.75[/tex]

Therefore, the unit rate of the given ratio is 0.75.

Answer: 5 cars

Step-by-step explanation:

Breakeven point = Fixed Cost/ Contribution margin

Fixed cost is $30 which is the flea market booth charge

Contribution margin is sales price less variable cost.

The Variable Cost is the amount he is charged by the distributor of $14.

Contribution Margin = 20 - 14

= $6

Breakeven point = 30/6

= 5 cars

Answer:

-24x - 10

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define Expression

12(x - 2 - 3x) + 14

Step 2: Simplify

Answer:

-10/24

Step-by-step explanation:

12(x-2-3x)+14=0

12(-2-2x)+14=0

-24-24x+14

-10-24x=0

24x=-10

x=-10/24

Answer:

The dimensions of the garden is 102 feet by 68 feet

Step-by-step explanation:

Here, we want to get the width and length of the garden

The perimeter is represented by the length of the fencing

From the question;

w = 2l/3

The formula for the perimeter is;

P = 2(l + w)

Thus;

340 = 2(l + 2l/3)

170 = (l + 2l/3)

Multiply through by 3

510 = 3l + 2l

5l = 510

l = 102 feet

w = 2/3 * l

w = 2/3 * 102

w = 68 feet

Answer:

5/18

Step-by-step explanation:

1/6 * 1 / 3/5 = 5/18

Answer:

2654

Step-by-step explanation:

nfg n.v dfj jfh bgg g

Answer:

its the second one b <

Step-by-step explanation:

Answer:

m= -1/26

Step-by-step explanation:

plug into the formula and solve

Answer:

You would have $18

Step-by-step explanation:

Have a good day!

Answer:

Division i think not 100% sure but i think tht

Step-by-step explanation:

Answer:

24 pencils in each box

Step-by-step explanation:

First, you would subtract 4 from 196 which would equal 192. Then, you would divide 192 by 8 since there are eight boxes which equals 24 pencils in each box.

Answer:

y is 1

Step-by-step explanation:

Answer: 149.12

Step-by-step explanation:

to find out the extended warranty we do,

466*(32/100)=149.12

The extended warranty cost is $149.12.

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Given that, a set of floor speakers costs $466.

If the extended warranty on the speakers costs 32% of the price of the speakers.

Now, extended price =32% of 466

32/100 ×466

= 0.32×466

= $149.12

Therefore, the extended warranty cost is $149.12.

To learn more about the percentage visit:

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Answer:

6) D

8) E

9) A

1) D

10) B

Answer:

6) D

8) E

9) A

1) D

10) B

Step-by-step explanation:hope this helps :)

Answer:

its C

Step-by-step explanation:

Answer: it would be B, here a picture for you to understand it

Step-by-step explanation: Hope you see the picture and hope this help

Answer:

Step-by-step explanation:

The volume is the product of three dimensions

Given:

w = x + 1, l = x + 2 and V(x) = x³ + x² - 4x - 4

1) Let's find the height:

2) x = 4 m

Volume is:

3) x = 4 m

Dimensions are:

Full surface area is:

Answer:

Option A

Step-by-step explanation:

[tex]R = (\frac{V_f-Vi}{V_i} )100[/tex]

where,

[tex]V_f[/tex] is the final value

[tex]V_i[/tex] if the initial value

R is the investors rate of return

so,

[tex]R = (\frac{V_f-Vi}{V_i} )100\\\\R=(\frac{1500-1700}{1700})100 \\\\R=(\frac{-200}{1700})100 \\\\R=-11.8\\[/tex]

so the investors rate of return is -11.8%

Answer:-3 degrees

Step-by-step explanation:

just did 4.5-7.5

Answer: -273

Step-by-step explanation:

This is an arithmetic progression and the formula to find the nth term is given as:

= a + (n-1)d

Therefore, the 100th term will be:

= a + (n-1)d

= a + (100 - 1)d

= a + 99d

where a = 222

d = -5

Therefore, a + 99d = 222 + 99(-5)

= 222 + (-495)

= 222 - 495

= -273

Answer:

y = - 1/2x + 5

Step-by-step explanation:

the slope is -1/2 because the line is declining two units to the right for every one unit down. and the "b" is 5 because the line hits the y-axis at +5

Answer:

The answer would be no, Monica is wrong.

Step-by-step explanation:

By using the formula for simple interest; Time ( $ x Rate) = Interest

After a year, Monica would have gotten $40.80 in interest,

Paul would have gotten $81.60 in interest.

Because Paul deposited a higher amount of money than Monica, Paul earns more interest.

Answer:

18

6 x ? = 108

108/6=18

6 x 18 = 108

Answer:

Your answer is 18

6x18=108

Hope This helps!!!

Got this right on Edge 2021!!!

Please mark brainliest!!!

Answer:

12.5 ft

Step-by-step explanation:

5/2 = 2.5

5*2.5 = 12.5 ft

Answer:

8000

Step-by-step explanation:

Area of floor=25×20m

=500²

Area of each tile=area if each rhombus

=25×25=625cm²

No. of tiles required= area of floor/ area of each tile

=500×104⁴/ 625

=4/5 ×10×1000

=8000

hope it helps!

Answer:

C. x-2

Step-by-step explanation:

x² + 7x - 18 = 0

the factor must be p and q from the form.of

(x+p)(x+q) = 0

then find the value of p and q by this rules

p + q = 7

p x q = -18

p = 9

q = -2

(x + 9)(x + (-2)) = 0

(x+9)(x-2) = 0

Answer:

c.) [tex](x-2)[/tex]

Step-by-step explanation:

The given expression is written in the form [tex]ac^2+bx+c[/tex]. To factor, find two numbers whose sum is b and whose product is c:

_×_=-18

_+_=7

Use -2 and 7:

-2×9=-18

-2+9=7

Substitute the two numbers for b:

[tex]x^2-2x+9x-18[/tex]

[tex](x^2-2x)+(9x-18)[/tex]

Factor out common terms. The common term in the first parentheses is x and the common term in the second is 9:

[tex]x(\frac{x^2-2x}{x} )+9(\frac{9x-18}{9})\\\\x(x-2)+9(x-2)[/tex]

Cancel out one of the parentheses since they have the same terms and plug the factored numbers in:

[tex](x-2)(x+9)[/tex]

:Done

Check Your Work:

To see if the given factored form is true, simplify it using FOIL:

First, Outside, Inside, Last

[tex](x-2)(x+9)[/tex]

Multiply the first terms:

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

Multiply the terms on the outside:

[tex]x*9=9x\\\\x^2+9x[/tex]

Multiply the inside terms:

[tex]-2*x=-2x\\\\x^2+9x-2x[/tex]

Multiply the last terms:

[tex]-2*9=-18\\\\x^2+9x-2x-18[/tex]

Combine like terms:

[tex]x^2+(9x-2x)-18\\\\x^2+7x-18[/tex]

Therefore, the factored form is true.

x/x^2-9 + 1/x-3 = 1/4x-12

x/(x+3)(x-3)+1/(x-3)=1/4(x-3)

LCD: 4(x+3)(x-3)

4x+4(x+3)=(x+3)

4x+4x+12=x+3

7x=-9

x=-9/7

Answer:

2500 children and 2500 adults

The number of children is 2500 and the number of adults that attended the game is also 2500.

Let us consider that, number of children be x and number of adults be y that attend game.

Since, total 5000 people attend the game.

               [tex]x+y=5000\\\\x=5000-y..........(1)[/tex]

It costs $3 for children and $7 for adults and the total takings at the door was $25000

              [tex]3x+7y=25000 .............(2)[/tex]

Substitute value of x from equation 1 into equation 2.

           [tex]3(5000-y)+7y=25000\\\\15000-3y+7y=25000\\\\4y=10000\\\\y=10000/4=2500[/tex]

So that, [tex]x=5000-2500=2500[/tex]

Thus, the number of children is 2500 and the number of adults that attended the game is also 2500.

Learn more about the system of equation here:

https://brainly.com/question/13729904