Answer:
<u>9 inches are 1/4 or 0.25 yards and we used inches in the numerator and yards in the denominator for our ratio.</u>
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
1 yard = 36 inches
2. In converting 9 inches to yards, what unit (omit the number) would you place in the numerator of your ratio?
This is the ratio for calculating the answer:
36/1 = 9/x
36x = 9 *1
36x = 9
x = 9/36
x = 1/4 or 0.25 yards
<u>9 inches are 1/4 or 0.25 yards and we used inches in the numerator and yards in the denominator for our ratio.</u>
Answer:
The number of miles at which a car rented from either company cost the same amount is <u>50 miles</u>.
Step-by-step explanation:
Let x represents the number of miles at which a car rented from either company cost the same amount. Therefore, we can have the following equation:
RC = 25 + 0.14x ....................... (1)
BC = 23 + 0.18x ...................... (2)
Where;
RC = Total cost of Rent-Me Rent-A-Car
BC = Total cost of Better Deal Rental Car
The the cost of the two companies equal where RC = BC. Therefore, we equate equations (1) and (2) and solve for x as follows:
25 + 0.14x = 23 + 0.18x
25 - 23 = 0.18x - 0.14x
2 = 0.04x
x = 2 / 0.04
x = 50
Therefore, the number of miles at which a car rented from either company cost the same amount is <u>50 miles</u>.
<u>Note:</u>
This can be confirmed for equations (1) and (2) individually by substituting for x = 50 as follows:
For equation (1):
RC = 25 + 0.14(50)
RC = 25 + 7
RC = 32
For equation (2):
BC = 23 + 0.18(50)
BC = 23 + 9
BC = 32
Therefore, RC = BC = 32 confirms the answer.
Answer:
x= 3 inch should be turned up on each side
Step-by-step explanation:
Let the height of trough be x.
Width of trough be 12 - 2x.
and length of trough = 120 inch
Volume of trough, V = L×W×H = 120 × (12-2x) × x = 120x(12 - 2x)
For maximum volume, we find V' = 0
i.e 1440 -480x = 0
or x = 
or x= 3
Hence x= 3 inch should be turned up on each side
Answer:
<h2> 8 cm³ </h2>
Step-by-step explanation:
➡️ Volume = r³
➡️ 2³
➡️ 8
