Initially, 1/4 of the tank was filled.
After adding 12 gallons, it was 3/4 full.
Increase in fuel filled portion =
So 2/4 of the tank = 12 gallons
1/4 of tank = 12 ÷ 2 = 6 gallons
4/4 of tank = 6×4 = 24 gallons
____________________
Portion remaining to be filled =
Fuel needed = 1/4 × 24 = 6 gallons
So you need 6 more gallons to fill the tank
It has to be d because the rest equal to 24y-&
The equation appears to be made already.
Using the Order of Operations, consider what operations are being done to the variable "c". They are
• divide c by 4
• add -5 to the quotient.
To find the value of "c", we "undo" these operations in reverse order. To undo the addition of a number, we add the opposite of the number. So, we will first
• add 5 to the equation
This gives
Now, the next operation that we need to undo is the division by 4. We can undo that by multiplying the equation by 4. So, we will next
• multiply the equation by 4
This gives
The solution is c = 36.
Answer:
8
Step-by-step explanation:
f(x) = 5(3) - 7
f(x) = 15 - 7
f(x) = 8
Answer:
B) 
x units
Step-by-step explanation:
Let quadrilateral KMPT be a rectangle with dimensions 12 units by 8 units. Then its perimeter would be equal to:
Perimeter of a rectangle = 2 (l + b)
where: l is the length = 12 units and b is the breadth = 8 units. So that:
Perimeter of KMPT = 2 (12 + 8)
= 40 units
Dilating KMPT by a scale factor of would create K'M'P'T' of dimensions; × 12 units by × 8 units. Thus, the dimensions of K'M'P'T' would be 9 units by 6 units.
Perimeter of K'M'P'T' = 2 (l + b)
= 2(9 + 6)
= 30 units
Comparing the perimeters of KMPT and K'M'P'T', the perimeter of K'M'P'T' would be × perimeter of KMPT.
Therefore, if the perimeter of KMPT is x units, then;
perimeter of K'M'P'T' = * x units
= x units
