The correct inequality is:
B. 2.25 + 1.50g ≤ 20
This is because Ollie bought a sports drink for $2.25 and several granola bars that were each $1.50. When you add the cost of the sports drink ($2.25) to the cost of the granola bars ($1.50g), the total cost should be less than or equal to the $20 bill that Ollie paid with.
Ollie bought a sports drink for $2.25 and several granola bars that were each $1.50. Ollie paid with a $20 bill and received change. Which inequality can be used to find g, the number of granola bars that Ollie purchased?
A. g + 2.25 ≤ 20
B. 2.25g + 1.50 ≥ 20
C. 1.50g + 2.25 > 20
D. 1.50g + 2.25 < 20
7 answers
Truett made a model of the Empire State Building for a school project. In his model, 1 inch represents 100 feet. If the actual height of the Empire State Building is 1,250 feet, how tall should Truett's model be?
A. 125 inches
B. 15 inches
C. 12.5 inches
D. 8 inches
A. 125 inches
B. 15 inches
C. 12.5 inches
D. 8 inches
To find the height of Truett's model, we can set up a proportion:
1 inch represents 100 feet
x inches represent 1250 feet
(1/100) = (x/1250)
Cross multiply:
1 * 1250 = 100 * x
1250 = 100x
Divide by 100 to isolate x:
x = 1250 / 100
x = 12.5
Therefore, Truett's model should be 12.5 inches tall.
Answer: C. 12.5 inches
1 inch represents 100 feet
x inches represent 1250 feet
(1/100) = (x/1250)
Cross multiply:
1 * 1250 = 100 * x
1250 = 100x
Divide by 100 to isolate x:
x = 1250 / 100
x = 12.5
Therefore, Truett's model should be 12.5 inches tall.
Answer: C. 12.5 inches
Of the first 25 fans who entered a baseball game, 9 were wearing hats. If a total of 300 fans are at a game, how many would you expect to NOT be wearing baseball hats?
A. 192
B. 108
C. 96
D. 124
A. 192
B. 108
C. 96
D. 124
First, we calculate the proportion of fans not wearing hats among the first 25 fans:
Number of fans not wearing hats = 25 - 9 = 16
Proportion of fans not wearing hats among the first 25 fans = 16/25
Next, we calculate the number of fans not wearing hats in the entire 300 fans by applying the same proportion:
Total number of fans not wearing hats = (16/25) * 300 = 192
Therefore, you would expect 192 fans out of the 300 to NOT be wearing baseball hats.
Answer: A. 192
Number of fans not wearing hats = 25 - 9 = 16
Proportion of fans not wearing hats among the first 25 fans = 16/25
Next, we calculate the number of fans not wearing hats in the entire 300 fans by applying the same proportion:
Total number of fans not wearing hats = (16/25) * 300 = 192
Therefore, you would expect 192 fans out of the 300 to NOT be wearing baseball hats.
Answer: A. 192
The owner of a furniture store decides to reduce the price of a sofa from $800 to $560. By what percentage was the price of the sofa reduced?
A. 25%
B. 30%
C. 35%
D. 40%
A. 25%
B. 30%
C. 35%
D. 40%
To find the percentage by which the price of the sofa was reduced, we need to calculate the difference in the original price and reduced price, then find that difference as a percentage of the original price.
Original Price = $800
Reduced Price = $560
Difference = Original Price - Reduced Price = $800 - $560 = $240
Percentage Reduction = (Difference / Original Price) * 100 = ($240 / $800) * 100 = 30%
Therefore, the price of the sofa was reduced by 30%.
Answer: B. 30%
Original Price = $800
Reduced Price = $560
Difference = Original Price - Reduced Price = $800 - $560 = $240
Percentage Reduction = (Difference / Original Price) * 100 = ($240 / $800) * 100 = 30%
Therefore, the price of the sofa was reduced by 30%.
Answer: B. 30%