Answer:
The cost of the 1 muffin is $1.5 and 1 quart of milk cost is $3 .
Step-by-step explanation:
Let us assume that the cost of one muffins be x.
Let us assume that the cost of one 1 quarts of milk be y.
As given
The cost of 8 muffins and 2 quarts of mil is $18.
Than the equation becomes
8x + 2y = 18
As given
The cost of 3 muffins and 1 quart of milk is $7.50.
Than the equation becomes
3x + 1y = 7.50
Two equations are
8x + 2y = 18 and 3x + 1y = 7.50
Multiply 3x + 1y = 7.50 by 2 and subtracted from 8x + 2y = 18 .
Thus
8x - 6x + 2y - 2y = 18 - 15
2x = 3
x = 1.5
Put x = 1.5 in 3x + 1y = 7.50
3 × 1.5 + y = 7.50
y = 7.50 - 4.5
y = 3
Therefore the cost of the 1 muffin is $1.5 and 1 quart of milk cost is $3 .
334.9 miles divided by 20 days
334.9/20=16.745 miles/day
Answer:
-7/3
Step-by-step explanation:
When finding slope from a graph, I always look for places where the graph crosses grid intersections. One of these is the y-intercept, (0, 40).
You have to go quite some distance to find another. It looks to me like the next grid crossing is at (30, -30). At this point, you can do either of two things:
- find the ratio of grid squares
- use the slope formula
What you want to calculate is the ratio of the change in vertical height (rise) to the change in horizontal distance (run). If you use grid squares, you need to make sure the grid has the same number of units horizontally as vertically. (Here a grid square is 10 units in each direction, so we're OK on that point.)
We have observed that the line falls 7 grid squares vertically for a change of 3 grid squares to the right. So, the slope using grid squares is ...
m = rise/run = -7/3
Using the slope formula, we calculate the slope to be ...
m = (y2 -y1)/(x2 -x1)
m = (-30 -40)/(30 -0) = -70/30 = -7/3
The slope of the line is -7/3.
Answer:
y = {1, 3, 7}
Step-by-step explanation:
Given
y = ½x + 3
Domain: {-4, 0, 8}
Required
Determine the range of the function
To do this, we simply substitute each value of the domain in the given expression
We start with the first
Substitute -4 for x in y = ½x + 3
y = ½ * -4 + 3
y = -2 + 3
y = 1
Then 0
Substitute 0 for x in y = ½x + 3
y = ½ * 0 + 3
y = 0 + 3
y = 3
Lastly, 8
Substitute 8 for x in y = ½x + 3
y = ½ * 8 + 3
y = 4 + 3
y = 7
Hence, the range of the function is:
y = {1, 3, 7}
A) center is (0,0)
Radius = r^2 = 225 => r = 15
b)center is (0,0)
Radius r^2= 178
=> r =13.34
C) center is (0,0)
Radius is r^2 = 49 => r = 7
Hope it helps .