A new school will have 640 students. A construction code requires that new buildings have 2 restrooms for every 80 students in the building. Based on the construction code, what is the total number of restrooms the new school building must have?
(1 point)
Responses
8
8
16
16
560
560
160
160
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To find out the total number of restrooms the new school building must have, we divide the number of students by 80 and then multiply that by 2:
640 students / 80 students per restroom = 8 restrooms per 80 students
8 restrooms per 80 students x 2 restrooms per 80 students = 16 restrooms
Therefore, the new school building must have 16 restrooms according to the construction code.
A soccer team drank 4 gallons of Gatorade over 5 weeks. During this time period, at what rate did the team members drink Gatorade? (1 point)
Responses
4/5 gallon per week
4/5 gallon per week
5/4 gallons per week
5/4 gallons per week
1 gallon per week
1 gallon per week
9 gallons per week
To find the rate at which the soccer team members drank Gatorade, we need to divide the total amount of Gatorade consumed (4 gallons) by the number of weeks (5 weeks):
4 gallons / 5 weeks = 0.8 gallons per week
Therefore, the rate at which the team members drank Gatorade is 0.8 gallons per week.
so 4/5?
Yes, you are correct. The rate at which the team members drank Gatorade is 4/5 gallon per week.
On Monday, there were 18 cows and 12 horses in a field. There were no other animals in the field. What was the ratio of cows to horses in the field on Monday? Remember to simplify.(1 point)
Responses
12:18
12:18
2:3
2:3
18:12
18:12
3:2
To find the ratio of cows to horses in the field on Monday, we divide the number of cows by the number of horses:
18 cows / 12 horses = 3/2
The simplified ratio of cows to horses is 3:2.
On Monday, there were 18 cows and 12 horses in a field. There were no other animals in the field The ratio 3:5 can also be used to describe a relationship between the animals in the field on Monday. What relationship could this ratio describe?(1 point)
Responses
Cows to horses
Cows to horses
Cows to total
Cows to total
Horses to cows
Horses to cows
Horses to Total
Horses to Total
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The ratio 3:5 can describe the relationship of cows to horses in the field on Monday.
On Monday, there were 18 cows and 12 horses in a field. On Tuesday, there were 4 more horses in the field. Write a ratio to show the relationship between the number of horses and the total number of animals in the field on Tuesday. (1 point)
Responses
16/30
16/30
8/17
8/17
12/34
12/34
18/34
On Tuesday, there were 18 cows and 16 horses in the field, so the total number of animals in the field is 18 + 16 = 34.
The ratio to show the relationship between the number of horses and the total number of animals in the field on Tuesday is:
16 horses / 34 animals
Therefore, the ratio is 16/34.
so 8/17
My apologies for the confusion. You are correct, the ratio between the number of horses and the total number of animals in the field on Tuesday is 8/17.
A ratio is a relation between two amounts.(1 point)
Responses
True
True
False
True. A ratio represents the relative quantities or values of two or more things. It is a way to compare or express the relationship between two amounts.
The Jackson family has 5 daughters and 7 sons. What is the ratio of sons to daughters?
(1 point)
Responses
5:12
5:12
7:12
7:12
7:5
7:5
5:7
To find the ratio of sons to daughters in the Jackson family, we divide the number of sons by the number of daughters:
7 sons / 5 daughters = 7/5
Therefore, the ratio of sons to daughters is 7:5.
7.5?
I apologize for the confusion. The correct ratio of sons to daughters in the Jackson family is 7:5.
What is 30% of 90?(1 point)
Responses
3
3
27
27
30
30
2700
To find 30% of 90, we multiply 90 by 30/100:
90 * (30/100) = 27
Therefore, 30% of 90 is 27.
40 is what percent of 160?(1 point)
Responses
4%
4%
20%
20%
25%
25%
64%
To find what percent 40 is of 160, we divide 40 by 160 and then multiply by 100:
(40/160) * 100 = 0.25 * 100 = 25%
Therefore, 40 is 25% of 160.
A traditional chocolate cake recipe calls for 1 pound of sugar, 1 pound of butter, 1 pound of eggs, and 1 pound of flour. What percent of a chocolate cake is flour?(1 point)
Responses
4%
4%
14%
14%
16%
16%
25%
To find the percentage of a chocolate cake that is flour, we need to determine the ratio of the weight of flour to the total weight of all the ingredients.
The total weight of all the ingredients in the recipe is 1 pound + 1 pound + 1 pound + 1 pound = 4 pounds.
To find the percentage, we divide the weight of flour (1 pound) by the total weight of all the ingredients (4 pounds) and then multiply by 100:
(1 pound / 4 pounds) * 100 = 0.25 * 100 = 25%
Therefore, flour accounts for 25% of a chocolate cake.
The following fractions are equivalent: ⅖, 24/60, 10/25, 6/15(1 point)
Responses
True
True
False
True. The fractions ⅖, 24/60, 10/25, and 6/15 are all equivalent.
Two ratios that are equivalent are said to be proportional.(1 point)
Responses
True
True
False