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anygoal [31]
3 years ago
12

Marcus and Tony work for​ Lombardo's Pipe and Concrete. Mr. Lombardo is preparing an estimate for a customer. He knows that Marc

us lays a slab of concrete in 6 hours. Tony lays the same size slab in 4 hours. If both work on the job and the cost of labor is $ 43.00 per​ hour, decide what the labor estimate should be.
Mathematics
1 answer:
vampirchik [111]3 years ago
4 0
Remark
The equation is job1/ time + job2/time = job3/time 

Discussion
job one is the time it takes one of the workers to complete the job.
job two is the time it  takes the other workers to complete the job
job three is the time it takes to do the job together. 

Givens.
Let Marcus's time = m
Let Tony's time be =t
Let their together time = t1

Equation Substitution and solution.
1/m + 1/t = 1/t1
1/6 + 1/4 = 1/t1  The common denominator on the left is 12.
2/12 + 3/12 = 1 / t1
5/12 = 1/t1          Cross multiply.
5*t1 = 12             Divide by 5
t1 = 12/5
t1 = 2 2/5
t1 = 2.4 hours

Cost
1 hour = 43 dollars for labor.
2.4 hours = x dollars for labor.

1*x = 43 * 2.4
x = 103.2 dollars. <<<<< Answer



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a_sh-v [17]
B=3; C=16; and E=4096.

Using the information we have gives us

8^B \times C^{\frac{1}{2}} = E^{\frac{1}{4}}

We know that:
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We know that 2³ = 8, so B = 3.

To "undo" a square root, we square the number; 4²=16, so C = 16.

To "undo" a fourth root, we raise the answer to the fourth power; 8⁴ = 4096, so E = 4096.
3 0
2 years ago
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Carl deposited $5,142 into a savings account 20 years ago. The account has an interest rate of 3.8% and the balance is currently
Aleksandr [31]
Here is the formula you'll need
Total = Principal * (1 + (rate/n))^n*years
I don't know how to solve that for "n" so we'll use trial and error.

If compounded annually, total = <span> <span> <span> 10,841.24 </span> </span> </span>
If compounded quarterly, total = <span> <span> <span> 10,955.64 </span>
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Therefore the answer is "A", daily.

Source:
http://www.1728.org/compint3.htm


<span> </span><span><span> </span> </span>

3 0
3 years ago
A pitcher of water contains 1/4 of water. The water is poured equally into 5 glasses. How many liters of water are in each glass
IRINA_888 [86]
Hey there!

To solve this, divide the numbers 1/4 and 5 . . .

1/4 = 1/4

5 = 5/1

1 x 1 = 1

4 x 5 = 20

= 1/20

1/20 is already in it's simplest form, so it doesn't need to be simplified.

There are 1/20 liters of water in each glass.

Hope this helps you.
Have a great day!
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3 years ago
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2 + 1 . 2 5 f = 1 0 − 2 . 7 5 f
Rom4ik [11]

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2+4f=10                   isolate the variable

4f=8                          

f=2


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