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rosijanka [135]
3 years ago
8

An SUV costs $27,055 and costs an average of $0.18 per mile to maintain. A hybrid model of the SUV costs $33,735 and costs an av

erage of $0.13 per mile to maintain. After how many miles will the cost of the gas-only SUV exceed the cost of the hybrid?
Mathematics
1 answer:
Alexxandr [17]3 years ago
6 0

Answer:

The gas-only SUV will exceed the cost of the hybrid after 37,111.2 miles.

Step-by-step explanation:

0.18×37,111.2=6680.016

27,055+6680.016=<u>33,735.016</u>

33,735.016≥33,735

<u />

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In right △ABC with right angle B, m∠A=(3x−8)° and m∠C=(x−2)°.
julsineya [31]

Answer:

<A = 67

Step-by-step explanation:

The three angles of a triangle add up to 180 degrees.  We know a right angle is 90 degrees.

<A + <B + <C = 180

3x-8 + 90 + x-2 =180

Combine like terms

4x-10+90 = 180

4x+80 =180

Subtract 80 from each side

4x+80-80=180-80

4x=100

Divide each side by 4

4x/4 = 100/4

x=25

But we want to know <A

<A = 3x-8

 Substitute x=25

    =3(25) -8

    =75-8

   = 67


6 0
3 years ago
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What's the circumference if d=17?
meriva
The circumference would be 53.38 because the formula on finding the circumference is pi times the diameter.
7 0
3 years ago
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Solve the equation 4*e+2=1 (mod5)
otez555 [7]

Here's a way to do it.

Let 4e +2 = 5n +1 . . . . . . for some integer n

Then e = (5n -1)/4 = n + (n -1)/4

We want (n-1)/4 to be an integer, so let it be integer m.

... m = (n -1)/4

... 4m = n -1

... 4m +1 = n

Substituting this into our expression for e gives

... e = (5(4m+1) -1)/4 = (20m +4)/4 = 5m +1

e = 5m+1 for any integer m

4 0
3 years ago
For a particular​ event, 771 tickets were sold for a total of ​$3037. If students paid ​$3 per ticket and non-students paid ​$5
BlackZzzverrR [31]

Answer:

Number of student tickets were sold = 409

Step-by-step explanation:

Total number of tickets sold = 771

I.e Students ticket (S) + Non students ticket(N S)  = 771

Total amount to be paid for tickets = $ 3037

Amount paid by students per tickets = $3

Amount paid by non-students per tickets = $5

So, according to question

S + NS = 771

3 S + 5 NS = 3037

Solve both equations  

5 S + 5 NS = 771 × 5

3 S + 5 NS = 3037

so ,

(5 S + 5 NS) - (3 S + 5 NS ) = 3855 - 3037

Or, 2 S = 818

I.e S = \frac{818}{2} = 409

Hence, The number of student tickets were sold = 409      Answer

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2 years ago
What is the definition of mathematics?
Andrew [12]
<span>the abstract science of number, quantity, and space.

</span>
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3 years ago
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