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DanielleElmas [232]
3 years ago
5

Mr. Johnson hired a contractor to build a small deck on the back of his house. The cost of materials alone added to $678.12. Whe

n he received the final bill from the contractor, the total amount charged was $1206.12. Verify the accuracy of this bill if labor amounted to 16.5 hours at $32 an hour​
Mathematics
1 answer:
raketka [301]3 years ago
4 0

Answer:

Yes, the bill is absolutely accurate

Step-by-step explanation:

Cost of materials= $ 678.12

Final  bill amount(given)=$1206.12

Rate= $32 per hour for 16.5 hrs

Total amount for 32 hrs = time * rate = 16.5* 32=$528

Therefore, by the problem ,

<em>Cost of materials+ Total amount  for 32 hrs = Final bill amount</em>

= 678.12+ 528

=1206.12

<u>Therefore , the final bill amount is 100% accurate as it completely matches with the given bill amount</u>

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there are nickels, dimes, and quarters in a piggy bank. altogether, the coins are worth $3.65. the number of dimes is three time
hoa [83]

This question is solved using a system of equations, and doing this, we get that: There are 9 quarters, 4 nickels and 12 dimes.

I am going to say that:

x is the number of nickels.

y is the number of dimes.

z is the number of quarters.

In all, they are worth $3.65.

A nickel is worth $0.05, a dime is worth $0.1 and a quarter is worth $0.25, so:

0.05x + 0.1y + 0.25z = 3.65

Dimes: 3 times greater than nickels:

This means that:

y = 3x

Quarters: One greater than double the number of nickels:

This means that:

z = 2x + 1

Value of x:

We have y and z as function of x, so we can replace into the equation and find the value of x, so:

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0.05x + 0.3x + 0.5x + 0.25 = 3.65

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A similar question is found at brainly.com/question/17096268

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Answer:

<em>See below</em>

Step-by-step explanation:

In this example we are to consider the equation 2x - 5 = 4x + 12, and are asked to solve for x. Well let us take the first approach, a mathematical one;

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First you would subtract 2x on either side of the equation, canceling the 2x on one side, and subtracting 2x from 4x on the other, resulting in the simplified equation - 5 = 2x + 12. Subtracting 12 from either side we cancel the 12 on one side, and subtract - 12 and - 5 on the other. We now get - 17 = 2x. Dividing 2 on either side, x = - 8.5!

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