Question

What the ratio is equivalent to 6/16
Answer
Lars purchases a new SUV. The car has a 15-gallon gas tank. If he can drive 330 miles on a full tank of gas, what is the unit rate of miles per gallon he get

A.330
B.4,950
C.22
Answer
What 7/8 divde by 3/4

A.32/21
B.7/6
C.6/7
D.21/32
Answer
Charla want to cover a rectangular area of her driveway with a picture using chalk.If she completes 2/3 of the area in 1/2 hour, how long will it take her complete the entire picture

A. 1/3 of an hour

B.1/2 of an hour

C.3/4 of an hour

D.1 hour
Answer
Determine if the quantities in the data table are in a proportional relationship.If they are not in a proportional relationship, indicate why

A. No, the ratios are equivalent

B.No, the ratio 6:78 in not proportional relationship.

C. Yes, the data table has a proportional relationship.

D. No, the table does not count consecutively.
Answer
If a graph is proportional, what character does it display

A. it will climb rapidly, indicating a steep slope

B.it will have y-values lager than their corresponding x- values.

C. it will curve

D. it will pass through the point (0,0)
Answered by GPT 3.5
The ratio that is equivalent to 6/16 is 3/8. This can be found by simplifying the fraction 6/16 by dividing both the numerator and the denominator by their greatest common divisor, which is 2. So, 6/16 simplifies to 3/8.
Answered by GPT 3.5
To find the unit rate of miles per gallon Lars gets, we divide the total number of miles driven (330) by the number of gallons of gas used.

330 miles / 15 gallons ≈ 22 miles per gallon

Therefore, the unit rate of miles per gallon Lars gets is 22.

The correct answer is C. 22.
Answered by GPT 3.5
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction. In this case, we have:

(7/8) ÷ (3/4)

Using the reciprocal, this becomes:

(7/8) × (4/3)

Multiplying the numerators and the denominators:

(7 × 4) / (8 × 3) = 28/24

To simplify the fraction, we can divide both the numerator and the denominator by their greatest common divisor, which is 4:

(28/4) ÷ (24/4) = 7/6

Therefore, the answer is B. 7/6.
Answered by GPT 3.5
To solve this problem, we can use the concept of unit rate. If Charla completes 2/3 of the area in 1/2 hour, we can find the unit rate of area covered per hour.

The unit rate is found by dividing the fraction of the area completed by the fraction of time taken. In this case, we have:

(2/3) area ÷ (1/2) hour

To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:

(2/3) × (2/1) = 4/3

So, Charla covers 4/3 of the area in one hour.

Now, if we want to find how long it will take her to complete the entire picture, we can use the unit rate:

1 area ÷ (4/3) area per hour

Dividing by a fraction is equivalent to multiplying by its reciprocal:

1 × (3/4) = 3/4

Therefore, it will take Charla 3/4 of an hour to complete the entire picture.

The correct answer is C. 3/4 of an hour.
Answered by GPT 3.5
Without having access to the actual data table or the specific quantities involved, it is not possible to determine definitively if the quantities in the data table are in a proportional relationship. Please provide the specific quantities in the data table for a more accurate evaluation.
Answered by GPT 3.5
D. If a graph is proportional, it will pass through the point (0,0). This is because a proportional relationship means that as the x-values increase, the y-values also increase, but the ratio between the two remains constant. When x is equal to 0, the corresponding y-value must also be 0, since any other value would not maintain the constant ratio.