Answer:
<em> y = 4.25x</em>
Step-by-step explanation:
Given that:
After 2 week he has used 8 1/2 cups of dog food after 5 week he has used 21 1/4 cups, we can write this in coordinate form (x, y) where;
y is the amount of dog food
x is the time in weeks
The coordinates are (2, 8 1/2) and (5, 21 1/4)
get the slope m:
m = y2-y1/x2-x1
m = (21 1/4 - 8 1/2)/5-2
m = (85/4-17/2)/3
m = (85-34/4)/3
m = 51/12
m = 4.25
Get the intercept c:
Substitute any of the points say (2, 17/2) and m = 51/12 into the equation
y = mx+c
17/2 = 51/12(2) + c
17/2 = 51/6 + c
c = 17/2 - 51/6
c = 51-51/6
c = 0
Get the required equation:
substitute m - 4.25 and c = 0 into y = mx+c
y = 4.25x + 0
<em>Hence the required equation is y = 4.25x</em>
<em></em>
120,000 renamed to ten thousand (10,000) is twelve ten thousand. Ten thousand in number form is 10,000. When you divide 120,000 (one hundred and twenty thousand) by 10,000 (ten thousand) you get 12. 120,000 (one hundred and twenty thousand) /10,000 (ten thousand) = 12. So there are twelve ten thousands in 120,000.
Using the Pythagorean theorem:
6^2 + X^2 = 14^2
36 + x^2 = 196
X^2 = 196-36
x^2 = 160
x = SQRT(160)
x = 4 SQRT(10)
Or as a decimal:
x = 12.65 inches
Answer:
Step-by-step explanation:
m is number of miles
A: 45+0.21m (45 is the initial cost)
B: 28+0.38m (28 is the initial cost)
To know how in many miles the cost will be equal,
45+0.21m=28+0.38m
0.38m-0.21m=45-28
0.17m=17
m=17/0.17 = 100
So, at 100 miles the cost will be same for company A and B.
