Answer:
Step-by-step explanation:
Given : Michael pays $30 to enter a state fair, plus $4 for each ride.
To Find: Which of the following equations represents his total cost?
Solution:
Let x be the number of rides .
Cost of 1 ride = $4
So, cost of x rides = 4x
We are given that Michael pays $30 to enter a state fair
Entry fee = $30
Let the total cost be y
So, total cost =
Hence the equation represents his total cost is .
Answer:
311 students prefer sushi
Step-by-step explanation:
Let
x------> the number of students who prefer pizza
y -----> the number of students who prefer sushi
we know that
-----> equation A
-----> equation B
Substitute the equation B in equation A and solve for y
Answer:
The new coordinates of point D(-4, -4) after the dilation by a scale factor of 1/2 will be: D'(-2, -2)
Step-by-step explanation:
The rectangle ABCD on the grid shown is attached below.
From the grid, it is clear that the coordinates of point D are (-4, -4)
i.e. D(-4, -4)
As we are told that the figure is to be dilated from the origin.
A dilation tends to stretch or shrink the original figure, depending upon scale factor.
When we dilate a figure from the origin by any scale factor, the new coordinates of the image can be obtained by multiplying the scale factor with the coordinates of the original object/figure.
As the the coordinates of point D are (-4, -4). If we dilate the figure by a scale factor of 1/2, the new new coordinates of point D would be:
P(x, y) → P'(1/2x, 1/2y)
D(-4, -4) → D'(-4/2, -4/2) or D'(-2, -2)
Therefore, the new coordinates of point D(-4, -4) after the dilation by a scale factor of 1/2 will be: D'(-2, -2)
,
but we cannot solve for the set
because we are missing information.