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RSB [31]
3 years ago
8

roys car gets an average gas mileage of 29mi/gal. Roy starts his trip with 12 gal of gas.How many gallons of gas are left after

a 140 mile trip?(only an algebraic solution can receive full credit)
Mathematics
2 answers:
kolezko [41]3 years ago
4 0
The answer is 208. The equation to get this is m=29g-140 where m is miles and g is the gallons. Plug 12 in for g and solve for m. 29 * 12 = 348, 348-140 = 208. Therefore, m=208.
jeka57 [31]3 years ago
3 0
You can use a ratio to solve this.

29/1 = 140/x

Cross multiply

29x = 140
x = about 4.8 gallons after the trip
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A penny weighs about 0.1 oz. how much is a pound of pennies worth
Lelu [443]
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Now, we need to find the weights of pennies in pounds
=> always remember that in every 1 oz, there is 0.0625 pounds.
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7 0
3 years ago
What is the equation of a line passing between the points below? (-3,1) (5,-7)
kirill [66]

Answer:

Ax + Ay + 2A = 0 for any nonzero A, for example (A=1): x + y + 2 = 0

Step-by-step explanation:

The equation of a line is

Ax + By + C = 0

so we know that:

A*-3 + B*1 + C = 0

A*5 + B*-7 + C = 0

Let's subtract one from the other:

A*(-3 - 5) + B*(1 + -7) = 0

A*-8 + B*8 = 0

B*8 = A*8

B = A

Let's input B = A into the first two equations

A*-3 + A*1 + C = A*-2 + C = 0

A*5 + A*-7 + C = A*-2 + C = 0

checks out

C = 2A

So for any nonzero A the equation of

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4 0
2 years ago
A series of equal quarterly payments of $10,000 for 15 years is equivalent to what future worth amount at an interest rate of 6%
kogti [31]

Answer:

  $976,578.71

Step-by-step explanation:

We assume the deposits are made at the <em>beginning</em> of each quarter. The quarterly interest rate is 6%/4 = 1.5%. The number of quarterly payments is 15×4 = 60. The future value of an annuity due is ...

  A = P(1+r)((1+r)^n -1)/r

where r is the quarterly interest rate, n is the number of payments, and P is the payment amount.

  A = $10000(1.015)(1.015^60 -1)/.015 ≈ $976,578.71

The future value is $976,578.71.

6 0
3 years ago
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