Help please i don't understand 2, 4, and 10 quick please thanks

1.
Write the following ratio in simplest form: 32 min:36 min

8:9
8:36
32:9
128:144

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?

43:8
8:51
43:51
59:51

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

$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?

15 packs for $3.95
5 packs for $2.20
20 packs for $6.20
10 packs for $3.20

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

8/2 = x+3/4

13
1
7
16

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

$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)

1/3, 3/9
2/3, 4/9
2/3, 4/6
1/3, 2/6

8.
Solve the following proportion.

2/15 = 13/x

390
1.73
2.31
97.5

10.
The scale factor for two similar rectangles is 3. If the area of the smaller rectangle is 8 m^2, what is the area of the larger rectangle? (1 point)

24m^2
192m^2
72m^2
108m^2

My answers:
1. 8:9
2. ?????
3. 0.29 per ounce
4. ????
5. 13
6. $1.70
7. 2/3, 4/9
8. 97.5
10. ??????

Abdi is wrong, it's 72m2

To solve each of these questions, we'll go through each one step by step:

1. To write the ratio in simplest form, we need to find the greatest common factor (GCF) of 32 and 36. The GCF of 32 and 36 is 4, so we divide both numbers by 4: 32 ÷ 4 = 8 and 36 ÷ 4 = 9. Therefore, the simplest form of the ratio 32:36 is 8:9.

2. Marie saved $51 and spent $8 on Wednesday. To find the portion of her total savings that she still has left, we subtract the amount spent from the total savings: $51 - $8 = $43. Therefore, the ratio representing the portion of her total savings that she still has left is 43:51.

3. The price of 8.4 ounces of crackers is $2.42. To find the unit price, we divide the total price by the number of ounces. So, $2.42 ÷ 8.4 = $0.29 per ounce (rounded to the nearest cent).

4. To find the best unit price for the juice packs, we need to divide the cost by the number of packs. Then we compare the unit prices of each option:
- 15 packs for $3.95: $3.95 ÷ 15 = $0.263 per pack
- 5 packs for $2.20: $2.20 ÷ 5 = $0.44 per pack
- 20 packs for $6.20: $6.20 ÷ 20 = $0.31 per pack
- 10 packs for $3.20: $3.20 ÷ 10 = $0.32 per pack
The best unit price is $0.263 per pack (rounded to the nearest hundredth).

5. To solve the proportion 8/2 = (x+3)/4, we cross-multiply. This means multiplying the numerator of the first fraction (8) by the denominator of the second fraction (4) and multiplying the numerator of the second fraction (x+3) by the denominator of the first fraction (2). Then, we set the two resulting expressions equal to each other and solve for x:
8 * 4 = (x+3) * 2
32 = 2x + 6
Subtract 6 from both sides:
26 = 2x
Divide by 2:
x = 13.

6. If a dozen apples cost $2.55, we need to find the cost per apple. To do this, we divide the total cost by the number of apples in a dozen (which is 12): $2.55 ÷ 12 = $0.2125 per apple. To find the cost of 8 apples, we multiply the cost per apple by 8: $0.2125 * 8 = $1.70.

7. To determine which pairs of ratios cannot form a proportion using cross products, we multiply the numerator of the first ratio by the denominator of the second ratio and the numerator of the second ratio by the denominator of the first ratio. Then, we compare the products to see if they are equal. If they are not equal, the ratios do not form a proportion.
- 1/3, 3/9: (1 * 9) = (3 * 3) -> 9 = 9 (proportion)
- 2/3, 4/9: (2 * 9) = (3 * 4) -> 18 ≠ 12 (not a proportion)
- 2/3, 4/6: (2 * 6) = (3 * 4) -> 12 = 12 (proportion)
- 1/3, 2/6: (1 * 6) = (3 * 2) -> 6 ≠ 6 (not a proportion)
Therefore, the ratio pair 2/3, 4/9 cannot form a proportion.

8. To solve the proportion 2/15 = 13/x, we cross-multiply:
2 * x = 15 * 13
2x = 195
Divide by 2:
x = 195/2 = 97.5.

10. The scale factor for two similar rectangles is 3, which means the area of the larger rectangle is equal to the area of the smaller rectangle multiplied by the scale factor squared. The area of the smaller rectangle is 8 m^2, so the area of the larger rectangle is 8 * (3^2) = 8 * 9 = 72 m^2. Therefore, the area of the larger rectangle is 72 m^2.

2 is 43:51

4 is 15 packs for 3.95
10 is NO IDEA!!!

Sorry for the last question but I hope I was a help on the first 2!!! :D

Good luck on your Maths homework!! :D

10 is 192m2