Answer:
4 2/3 gallons of gas
Step-by-step explanation:
Step 1
Suppose a car gas tank holds 21 gallons of gas.
On a trip it uses 2/3 of a tank of gas on a trip.
= 2/3 × 21 gallons of gas
= 14 gallons of gas
Step 2
Then it uses 1/3 of what is left in the tank.
The number of gallons of gas left =
21 gallons of gas - 14 gallons of gas
= 7 gallons of gas
Hence, this is calculated as:
1/3 × 7 gallons of gas
= 2 1/3 gallons of gas
Step 3
How many gallons of gas are left in the tank?
This is calculated as:
7 gallons of gas - 2 1/3 gallons of gas
= 7/1 - 7/3
Lowest common denominator =
= 21 - 7/3
= 14/3
= 4 2/3 gallons of gas is left
Therefore, 4 2/3 gallons of gas is left.
Answer:
The answer is B) 4
Explanation:
A negative times a negative equals a positive so options A and C are wrong.
-12 divided by 1/4 equals -48
Answer:
5.6 * (4 + p)
Step-by-step explanation:
<u>Step 1: Make an expression
</u>
5.6 times -> 5.6 *
Sum of 4 and a number p -> (4 + p)
<u>Equation:</u> 5.6 * (4 + p)
Answer: 5.6 * (4 + p)
Answer:
b = 30 / a
which agrees with the third expression in the list of possible options
Step-by-step explanation:
When we say that a and b vary inversely, that means that in mathematical form:
b = k / a where "k" is the so called "constant of proportionality". In order to write the function that models this inverse variation, we need to find the value of "k". We do such by using the information they provide (b = 5/2 when a = 12):
5/2 = k / 12
Then, solving for "k":
5 * 12 / 2 = k
60 / 2 = k
k = 30
Then we can now write the function that models this inverse variation:
b = k / a
b = 30 / a
