Answer:the number of cars that were washed is 50
Step-by-step explanation:
Let x represent the number of cars that members of a senior class.
Let y represent the number of pick-up truck or a sport utility vehicle that members of a senior class.
They charged $3 to wash a car and $5 to wash a pick-up truck or a sport utility vehicle and they earned a total of $275. This means that
3x + 5y = 275 - - - - - - - - -- - -1
They washed a total of 75 vehicles. This means that
x + y = 75
Substituting x = 75 - y into equation 1, it becomes
3(75 - y) + 5y = 275
225 - 3y + 5y = 275
- 3y + 5y = 275 - 225
2y = 50
y = 50/2 = 25
Substituting y = 25 into x = 75 - y, it becomes
x = 75 - 25 = 50
Answer:
x=26/5
Step-by-step explanation:
first you would multiply both sides by 2
then you woud end up with 6x- 14 = x+12
then combine like terms subtract x on both sides
5x=26 then divide both sides by 5
x=26/5
Answer:
1350 ft²
Step-by-step explanation:
First off, I notice that the triangle at the bottom can fit the slant at the top to make a perfect rectangle.
This will leave us with a rectangle. We can add up 4 and 5 for the sum of 9, making one side 9 inches.
5 + 4 = 9 in
We multiply 9 by 3 to get the actual length of that side
9 x 3 = 27 ft.
We multiply 16 and two-thirds by 3 to get the actual length of the other side
x 3 = 50 ft.
To find the area of this rectangle we multiply length and width
50 x 27 = 1350 ft²
Answer:
(x, y) ⇒ (2x, 2y)
Step-by-step explanation:
Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, translation, rotation and dilation.
Dilation is the increase or decrease in size of a figure. If a figure with point A(x, y) is dilated by a scale factor of k, the new location is at A'(kx, ky). If k > 1, it is an enlargement and if k < 1, it is a reduction.
Given that the inner circle has a radius of 1 r and the outer one has a radius of 2 r. To map the inner circle onto the outer circle, the inner circle would need to be enlarged. The scale factor is:
k = outer circle radius / inner circle radius = 2r / 1r = 2
A dilation with a scale factor of 2 would be needed to map the inner circle onto the outer circle.
That is:
(x, y) ⇒ (kx, ky)
Answer:
The number 1 is not necessary when expressing powers of one. For example, you needn't write "5" as 
.
Step-by-step explanation:
