1.

Write the following ratio in simplest form: 32 min:36 min
(1 point)

8:98:3632:9128:144

2.
Marie saved $51. On Wednesday, she spent $8 of her savings. What ratio represents the portion of her total savings that she still has left?
(1 point)

43:88:5143:5159:51

3.
The price of 8.4 ounces of crackers is $2.42. What is the unit price? Round your answer to the nearest cent.
(1 point)

$0.15 per ounce$3.47 per ounce$28.81 per ounce$0.29 per ounce

4.
Jonah needs to purchase 30 juice packs for his class. While shopping, Jonah discovers the following prices for comparable juice packs. Which offers the best unit price?
(1 point)

15 packs for $3.955 packs for $2.2020 packs for $6.2010 packs for $3.20

5.
Solve the proportion. Where necessary, round to the nearest hundredth.

Start Fraction 8 over 2 End Fraction equals Start Fraction x plus 3 over 4 End Fraction
(1 point)

131716

6.
A dozen apples cost $2.55. At this rate, how much would 8 apples cost?
(1 point)

$20.40$3.83$0.21$1.70

7.
Use cross products to determine which of the following pairs of ratios cannot form a proportion.
(1 point)

8.
Solve the following proportion.

Start Fraction 2 over 15 End Fraction equals Start Fraction 13 over x End Fraction
(1 point)

3901.732.3197.5

9.
ΔABC and ΔDEF are similar. Find the values of x and y.
Triangle ABC is shown with side AB labeled y, side BC labeled 12, and side CA labeled 21. Triangle DEF is shown with side DE labeled 6, EF labeled 4, and FD labeled x.
(1 point)

x = 7, y = 12x = 21, y = 12x = 14, y = 18x = 7, y = 18

10.
The scale factor for two similar rectangles is 3. If the area of the smaller rectangle is 8 m2, what is the area of the larger rectangle?
(1 point)

24m2192m272m2108m2

I don't see any of your answers to check.

And your text formatting is totally bogus, D00d!

1. To write the ratio 32 min to 36 min in simplest form, we need to find the greatest common factor (GCF) of both numbers and divide them by it. In this case, the GCF of 32 and 36 is 4. Divide both numbers by 4:

32 ÷ 4 = 8
36 ÷ 4 = 9

So, the ratio 32 min to 36 min in simplest form is 8:9.

2. To find the ratio representing the portion of Marie's total savings that she still has left, we need to subtract the amount she spent from her total savings and express it as a ratio.

Total savings - Amount spent = Amount left
$51 - $8 = $43

So, the ratio representing the portion of her total savings that she still has left is 43:51.

3. To find the unit price, you need to divide the total price by the number of ounces. In this case, the price is $2.42 and the quantity is 8.4 ounces.

Unit price = Total price / Quantity
Unit price = $2.42 / 8.4

Calculating this gives us approximately $0.29 per ounce (rounded to the nearest cent). Therefore, the unit price is $0.29 per ounce.

4. To find the best unit price, you need to calculate the unit price for each option by dividing the total price by the number of packs.

For option 1: 15 packs for $3.95
Unit price = $3.95 / 15 = approximately $0.26 per pack

For option 2: 5 packs for $2.20
Unit price = $2.20 / 5 = $0.44 per pack

For option 3: 20 packs for $6.20
Unit price = $6.20 / 20 = $0.31 per pack

For option 4: 10 packs for $3.20
Unit price = $3.20 / 10 = $0.32 per pack

Comparing the unit prices, option 1 has the best unit price of approximately $0.26 per pack.

5. The goal is to solve for x in the proportion:

8/2 = (x+3)/4

To solve this, we can cross-multiply:

8 * 4 = 2 * (x+3)

32 = 2x + 6

Subtract 6 from both sides:

26 = 2x

Divide both sides by 2:

x = 13

Therefore, x is equal to 13.

6. To find out how much 8 apples would cost at the same rate as a dozen apples, we need to divide the cost of a dozen apples by 12 and then multiply it by 8.

Cost of a dozen apples = $2.55
Cost of 1 apple = $2.55 / 12

Calculating this gives us approximately $0.21 per apple.

So, the cost of 8 apples would be:

$0.21 * 8 = $1.68

Therefore, 8 apples would cost $1.68.

7. Without the specific pairs of ratios provided, it is not possible to determine which pair cannot form a proportion. Please provide the specific ratios.

8. To solve the proportion:

2/15 = 13/x

We need to cross-multiply:

2 * x = 15 * 13

2x = 195

Divide both sides by 2:

x = 195/2

Calculating this gives us approximately 97.5.

Therefore, x is equal to 97.5.

9. In similar triangles, corresponding sides are proportional to each other. So we can set up the following ratio:

y/12 = 21/6

To solve for x, we can cross-multiply:

6y = 12 * 21

6y = 252

Divide both sides by 6:

y = 252/6

y = 42

Therefore, y is equal to 42.

So the values of x and y are x = 7, y = 42.

10. The scale factor between similar rectangles determines how their corresponding sides are related. If the scale factor is 3, it means the area of the larger rectangle is 3^2 (9 times) the area of the smaller rectangle.

If the area of the smaller rectangle is 8 m^2, then the area of the larger rectangle would be:

8 * 9 = 72 m^2

Therefore, the area of the larger rectangle is 72 m^2.