Math Quiz please help fast
Write the following ratio in simplest form: 32 min:36 min (1 point)
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? (1 point)
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. (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 $3.95
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 over 2 = x+3 over 4
(1 point)
13
1
7
16
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)
1 over 3, 3 over 9
2 over 3, 4 over 9
2 over 3, 4 over 6
1 over 3, 2 over 6
8. Solve the following proportion.
2 over 15 = 13 over x
(1 point)
390
1.73
2.31
97.5
9. ΔABC and ΔDEF are similar. Find the values of x and y.
similar figures
(1 point)
x = 7, y = 12
x = 21, y = 12
x = 14, y = 18
x = 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)
24m2
192m2
72m2
108m2
I don't have answers. I wanted you to answer them.
These are all of the answers i took the test
1.A
2.C
3.D
4.A
5.A
6.D
7.B
8.D
9.D
10.C
Sure, I'll help you with these math questions. Let's go through each question and find the correct answer.
1. To write the given ratio, 32 min:36 min, in simplest form, we need to find the greatest common divisor (GCD) of the two numbers. The GCD of 32 and 36 is 4. So, the simplest form of the ratio is 8:9.
2. Marie saved $51 and spent $8. To find the portion of her total savings that she still has left, we subtract the amount spent from her total savings. So, the ratio representing the portion of her savings that she still has left is 43:51.
3. To find the unit price, we divide the total price by the quantity. In this case, the total price is $2.42 for 8.4 ounces of crackers. Dividing $2.42 by 8.4 gives us approximately $0.29 per ounce.
4. To find the best unit price, we compare the prices for different quantities of juice packs. We want to find the price per pack. So, we divide the total price by the number of packs. Comparing the unit prices, we find that 15 packs for $3.95 offers the best unit price, which is approximately $0.26 per pack.
5. To solve the proportion, we cross-multiply and then solve for x. So, (8 x 4) = (2 + 3) x x. Simplifying both sides of the equation, we have 32 = 5x. Dividing both sides by 5, we find that x = 6.4.
6. We know that a dozen apples cost $2.55. So, we need to find the cost of one apple. Dividing $2.55 by 12, we find that one apple costs approximately $0.21. To find the cost of 8 apples, we multiply the cost of one apple by 8. So, 8 apples would cost approximately $1.68.
7. To determine which pairs of ratios cannot form a proportion, we need to check if their cross products are equal. The cross products are found by multiplying the numerator of one ratio with the denominator of the other. Comparing the cross products, we find that the pair 2 over 3 and 4 over 9 cannot form a proportion.
8. To solve the proportion, we cross-multiply and then solve for x. So, (2 x x) = (15 x 13). Simplifying both sides of the equation, we have 2x = 195. Dividing both sides by 2, we find that x = 97.5.
9. To find the values of x and y in similar triangles, we need more information. The question doesn't provide additional information, so we cannot determine the values of x and y.
10. The scale factor between two similar rectangles is 3. Since the area of the smaller rectangle is 8 m², we multiply the area by the square of the scale factor to find the area of the larger rectangle. So, the area of the larger rectangle is 8 x (3²) = 8 x 9 = 72 m².
I hope this helps you with your math quiz! Let me know if you have any more questions.