Answer:
answer is below
Step-by-step explanation:
3/8x(how much money she had)= 30
So, Mary originally had $80.
0.4a=80
----- -----
0.4 0.4
a=200
Where a is the number times 40%, which is 0.4 in decimal form.
Answer:
√41
Step-by-step explanation:
Top is the formula, and the bottom would be how to plug in the points.
Using a linear function, we have that:
a) The fixed cost is of $10.
b) The equation is: C = 10 + 12d.
c) The cost of an 18 km trip is $226.
d) The distance traveled is of 20 km.
<h3>What is a linear function?</h3>
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
For this problem, the slope is of m = 12. When d = 5, C(d) = 70, hence we find the fixed cost as follows:
C(d) = 12d + b
70 = 60 + b
b = 10.
Hence the equation is:
C(d) = 12d + 10.
For a trip of 18 km, d = 18, hence the cost is:
C(12) = 12 x 18 + 10 = $226.
When the cost is of $250, the distance is found as follows:
250 = 12d + 10
12d = 240
d = 240/12
d = 20 km.
More can be learned about linear functions at brainly.com/question/24808124
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Answer:
x = 33.33 kilometers
Step-by-step explanation:
you could make use of the percent, base, and rate formula here. we know that 15% is the rate, 5 kilometers is the percent, therefore what we are looking for is our base.
; cross multiply.
15x = 500
x = 33.33 kilometers
therefore, the race is 33.33 kilometers.
