Can someone please check my answers? I am terrible at math thanks so much
1.) Which is the best buy?
A) 16 ounces of hand soap for $2.40
B) 20 ounces of hand soap for $2.80****
C) 24 ounces of hand soap for $3.00
D) 12 ounces of hand soap for $2.00
2.) What is the ratio of 4/5 to 7/15
A) 7/12
B) 1 5/7
C) 11/15
D) 1 4/11****
3.) Caroline runs 3 1/2 miles in 22 1/4 minutes. How many miles does she run per minute?
A) 3/22 mile per minute
B) 62/221 mile per minute
C) 19/89 mile per minute****
D) 4/39
4.) A statue is 7 1/2 feet tall. How many inches tall is the statue?
A) 62.5 inches
B) 90 inches
C) 70 inches
D) 45 inches****
5.) Bryce lives 26 miles from his grandmother's house. How many kilometers does Bryce live from hid grandmother's house? Round your answer to the nearest tenth of a mile. 1 km = 0.62 mi
A) 16.1 miles****
B) 41.9 miles
C) 19.3 miles
D) 44.8 miles
6.) Which pair of ratios forms a proportion?
A) 4/5 and 16/24
B) 9/15 and 3/4
C) 5/8 and 3/4****
D) 9/10 and 40/45
7.) What is the common multiplier in the proportion below?
x/12=24/36
A) 2****
B) 3
C) 4
D) 6
8.) Solve the proportion.
A) 21.6
B) 20
C) 33.75
D) 18****
See my reply to your earlier post of this.
None of your 8 answers were correct.
@Ms. Sue Okay so for 3. C 14/89? And for 4. B 90 inches?
3. 14/89 is not one of your choices
4, B is right!!!
Reiny has already checked your other answers and found them wrong.
5. Doesn't make sense. km? miles?
6, To find the proportion, multiply the numerator and denominator by the same number. For example: 4/5 and 16/24
4 * 4 = 16
4 * 5 = 20 Nope -- not a proportion
More in a few minutes. . . .
7. What is the common multiplier of the two denominators?
8. This is not a complete problem. You're missing something.
@ms.sue can you help me understand
To check your answers for these math questions:
1) Which is the best buy?
In this question, you need to compare the price per ounce for each option. To do this, divide the total cost by the number of ounces.
A) 2.40 / 16 = $0.15 per ounce
B) 2.80 / 20 = $0.14 per ounce
C) 3.00 / 24 = $0.125 per ounce
D) 2.00 / 12 = $0.1667 per ounce
Based on the calculations, option B) 20 ounces of hand soap for $2.80 has the lowest price per ounce, making it the best buy.
2) What is the ratio of 4/5 to 7/15?
To find the ratio, divide the numerator of the first fraction by the numerator of the second fraction, then divide the denominator of the first fraction by the denominator of the second fraction.
4/5 ÷ 7/15 = (4/5) / (7/15) = (4/5) * (15/7) = 60/35
Simplifying 60/35 gives 6/7. Therefore, the ratio is 6/7, which corresponds to option D).
3) Caroline runs 3 1/2 miles in 22 1/4 minutes. To find the distance per minute, divide the total distance by the total time taken.
Distance per minute = (3 1/2) / (22 1/4)
To perform this calculation, convert the mixed numbers to improper fractions:
3 1/2 = (3 * 2 + 1) / 2 = 7/2
22 1/4 = (22 * 4 + 1) / 4 = 89/4
Now divide the distance by the time:
(7/2) ÷ (89/4) = (7/2) * (4/89) = 28/178 = 14/89
So, Caroline runs 14/89 miles per minute, which corresponds to option C).
4) A statue is 7 1/2 feet tall. To convert this to inches, multiply by 12 since there are 12 inches in a foot.
Statue's height in inches = (7 1/2) * 12 = 90 inches
Therefore, the statue is 90 inches tall, which corresponds to option D).
5) Bryce lives 26 miles from his grandmother's house. To convert this to kilometers, multiply by the conversion factor of 0.62.
Distance in kilometers = 26 * 0.62 = 16.12 miles (rounded to the nearest tenth)
Therefore, Bryce lives approximately 16.1 miles from his grandmother's house, which corresponds to option A).
6) To determine which pair of ratios forms a proportion, compare the cross products. If the cross products are equal, then the ratios form a proportion.
A) (4/5) * (24/16) = 96/80 = 6/5
B) (9/15) * (4/3) = 36/45 = 4/5
C) (5/8) * (3/4) = 15/32
D) (9/10) * (45/40) = 405/400
From the calculations, option C) 5/8 and 3/4 forms a proportion since the cross products are equal.
7) In the proportion x/12 = 24/36, the common multiplier is the number that you divide both sides of the equation by in order to solve for x.
To find the common multiplier, cross multiply:
36x = 12 * 24
Now, divide both sides by 36 to solve for x:
x = (12 * 24) / 36 = 288 / 36 = 8
Therefore, the common multiplier is 8, which corresponds to option A).
8) To solve the proportion, you need to cross multiply and then solve for the variable x.
x / 5 = 18 / 8
Cross multiplying gives:
8x = 5 * 18
Now, divide both sides by 8 to solve for x:
x = (5 * 18) / 8 = 90 / 8 = 11.25
Therefore, the solution to the proportion is x = 11.25, which corresponds to option D).
Remember, when checking answers, it's always helpful to show your work and calculations for each question to ensure accuracy.
Thanks for numbering your problems.
1. I did this in the last post.
2. No. Thanks to Reiny from 2012
(4/5) / (7/15)
= (4/5)(15/7)
= 12/7
3, No. Divide miles by minutes.
4. No. 1 foot = 12 inches
Do 3 and 4. I'll check them before I finish checking the rest of your original answers.