Hey there! :)
Answer:
y = 1/4x - 3.
Step-by-step explanation:
Use the slope-formula to find the slope of the line:

Plug in two points from the line. Use the points (-4, -4) and (0, 3):

Simplify:
m = 1/4.
Slope-intercept form is y = mx + b.
Find the 'b' value by finding the y-value at which the graph intersects the y-axis. This is at y = -3. Therefore, the equation is:
y = 1/4x - 3.
When you divide fractions, you change each to its reciprocal, then you look multiply them. Using reciprocals helps you easily solve the problem.
The midpoint, where the rest area is, will just be the average of the coordinates of Springfield and Columbus.
Rest Area=((1+7)/2, (-4+1)/2)
Rest Area=(4, -1.5)
The distance between the two cities can be found using the Pythagorean Theorem, which used in the manner is often referred to as the "distance" formula between two points.
d^2=(x2-x1)^2+(y2-y1)
d^2=(7-1)^2+(1--4)^2
d^2=36+25
d^2=61
d=√61 and we are told that each unit is equal to 5.38mi so the distance from Springfield to Columbus is:
D=5.38√61 mi
D≈42.02mi (to nearest hundredth of a mile)
Answer:
12 girls.
Step-by-step explanation:
24 ÷ 2 = 12
(This is divided to find out 1 part of the whole class as ⅓)
⅓ = 12
1 (whole) take away ⅔ = ⅓
Since ⅔ + ⅓ = 1
⅓ = fraction of girls in class
1 part = 12
So ⅓ = 12 girls out of 36 total students
Hope this helps. :)
Answer:
° 3/2 × 4/15
Step-by-step explanation:
for checking a division problem use the product and one of the fractions to multiply. if the answer matches the other fraction then your division is correct.