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3 years ago

if c(m)=0.50m+30 represents the cost of renting a car, how many miles were driven if the cost is $130?

Mathematics

2 answers:

Lisa [10]3 years ago

4 0

M= the number of miles
c= cost
130(m)=0.50m+30
subtract 30 on both sides
100(m)=0.50m
divide .50 to isolate m
m=200

adell [148]3 years ago

4 0

200 miles were driven if the cost is $130.

To solve, identify what each part of the equation means, plug 130 into the right part of the equation, and solve for m.

C(M) ⇒ Cost for renting a car
0.50M ⇒ Cost per mile driven
M ⇒ Miles driven
30 ⇒ Initial cost

Replace C(M) with 130 and solve for M.
130 = 0.50M + 30
100 = 0.50M
200 = M

So, if the cost is $130, 200 miles were driven.

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Evaluate f (x) =2x-8 over the domain {0, 1, 3, 8} What is the range of f (x) ?

JulsSmile [24]

Answer:

{-8,-6.-2,8}

Step-by-step explanation:

we have

$f(x)=2x-8$

Evaluate f(x) for different values of x

For $x=0$ -----> $f(0)=2(0)-8=-8$

For $x=1$ -----> $f(1)=2(1)-8=-6$

For $x=3$ -----> $f(3)=2(3)-8=-2$

For $x=8$ -----> $f(8)=2(8)-8=8$

therefore

The range is equal to

{-8,-6.-2,8}

8 0

3 years ago

Solve this thing pls <img src="https://tex.z-dn.net/?f=3%5Cleft%28q-7%5Cright%29%3D27" id="TexFormula1" title="3\left(q-7\ri

evablogger [386]

Answer:

Solution of equation ( q ) = 16

Step-by-step explanation:

In this question we have given an equation that is 3 ( q - 7 ) = 27 and we have asked to solve this equation that means to find the value of  q .

Solution : -

$\quad \: \longmapsto \: 3(q - 7) = 27$

Step 1 : Solving parenthesis :

$\quad \: \longmapsto \:3q - 21 = 27$

Step 2 : Adding 21 on both sides :

$\quad \: \longmapsto \:3q - \cancel{ 21} + \cancel{21} = 27 + 21$

On further calculations we get :

$\quad \: \longmapsto \:3q = 48$

Step 3 : Dividing by 3 from both sides :

$\quad \: \longmapsto \: \frac{ \cancel{3}q}{ \cancel{3}} = \cancel {\frac{48}{3} }$

On further calculations we get :

$\quad \: \longmapsto \: \pink{\boxed{\frak{q = 16}}}$

Therefore, solution of equation ( q ) is 16 .

Verifying : -

Now we are very our answer by substituting value of q in the given equation . So ,

3 ( q - 7 ) = 27

3 ( 16 - 7 ) = 27

3 ( 9 ) = 27

27 = 27

L.H.S = R.H.S

Hence, Verified.

Therefore, our solution is correct .

<h2>#Keep Learning</h2>

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3 years ago

Read 2 more answers

Using GCF and the distributive property, write two equivalent expressions for 30+45?

yaroslaw [1]

5x15, 3x25 because 30+45=75 and both 5x15 and 3x25 equal 75

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3 years ago

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Andrews [41]

We can set this problem up as an algebraic equation, which we can then solve to find our answer.

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