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Semenov [28]
3 years ago
8

The Maple Car Rental Comany charges a flat fee of $45 plus 35 cents per mile to tentba full-size car. Write a linear equation th

at gives the total cost in terms of numbers of miles driven. Then find the total cost if the renter drives 325 miles
Mathematics
1 answer:
n200080 [17]3 years ago
7 0

Answer:

$158.75

Step-by-step explanation:

Given:

The Maple Car Rental Comany charges a flat fee of $45 plus 35 cents per mile

And we have to write a linear equation that gives the total cost in terms of numbers of miles driven then find the total cost if the renter drives 325 miles.

Solution:

Total cost = 35 cents of renter drives in miles + fixed charge of the car

Total cost = 0.35\times325 +45

                = 113.75  + 45\\= 158.75

Thus,  total cost is $158.75, when the renter drives 325 miles.

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A line contains the points (8, 5) and (6, 15).
Olenka [21]

Answer: -5

Step-by-step explanation:

The formula for calculating the slope of a line is given as :

m=\frac{y_{2} }{x_{2}} - \frac{y_{1}}{x_{1}}

x_{1} = 8

x_{2} = 6

y_{1} = 5

y_{2} = 15

substituting into the formula , we have

m = \frac{15-5}{6-8}

m = \frac{10}{-2}

m = -5

Therefore the slope is -5

3 0
3 years ago
Brad bought 70.030 m of chain to make necklaces. He used 0.667 m of the chain to make one necklace.
Margaret [11]
Brad bought 70.030m of this chain to make a necklace, then he used 0.667m of it to make one, and how much he had left, the key word ''used'' and have left'' means subtract so all we have to do is subtract 70.030m minus 0.667m and we get the answer.

Answer: 69.363m of his chain is left.
6 0
3 years ago
A tank has capacity 6 L and initially contains 11 mg of salt dissolved in 3 L of water. A solution containing 1 mg/L of salt ent
BlackZzzverrR [31]

Answer:

The answer is below

Step-by-step explanation:

a) The maximum capacity of he tank is 6 L and initially it contains 11 mg of salt dissolved in 3 L of water. Solution enters the tank at a rate of 3 L/hr, therefore in x hours, the amount of water that have entered the tank = 3x.

Solution also leaves the tank at a rate of 2L/hr, therefore in x hours, the amount of water that have left the tank = 2x

Hence the amount of water present in the tank at x hours is given as:

3 + 3x - 2x = 3 + x

The time taken to full the tank can be gotten from:

3 + x = 6

x = 6 - 3

x = 3 hr

b)

\frac{dQ}{dx}=3-\frac{2Q}{3+x}\\  \\\frac{dQ}{dx}+\frac{2Q}{3+x}=3\\\\let\ u'=\frac{2u}{3+x}\\\\\frac{u'}{u}=\frac{2Q}{3+x}\\\\ln(u)=2ln(3+x)\\\\u=(3+x)^2\\\\(3+x)^2Q]'=3(3+x)^2\\\\(3+x)^2Q=(3+x)^3+c\\\\Q(0)=11\\\\(3+0)^2(11)=(3+0)^3+c\\\\x=72\\\\Q=x+3+\frac{72}{(x+3)^2}\\ \\Q(3)=3+3+\frac{72}{(3+3)^2}=8\ mg

8 mg/ 6 L = 4/3 mg/L

8 0
3 years ago
Geometry help please. Answer choices: A, B, C, or d. Picture beloe.
ira [324]

Answer:

D

Step-by-step explanation:

you reverse the numbers in the y spot, so if they are negative make them positive, vise versa

8 0
3 years ago
What is 0.003 is 1/10of
boyakko [2]
0.003 is 1/10 of 0.03.
Just multiply the 0.003 by 10 and you'll get the answer.
6 0
3 years ago
Read 2 more answers
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