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Harlamova29_29 [7]
3 years ago
14

Juan works as a tutor for $12 an hour and as a waiter for $7 an hour. This month, he worked a combined total of 110 hours at his

two jobs.
Let t be the number of hours Juan worked as a tutor this month. Write an expression for the combined total dollar amount he earned this month.
Mathematics
2 answers:
ohaa [14]3 years ago
4 0

Answer:

12t+7w=D

t+w=110

Step-by-step explanation:

12t= $12 made every tutor hour

7w= $7 made every waiter hour

D= total dollars made

t+w=110 is the tutor hour and the waiter hour adding together

gladu [14]3 years ago
3 0

Answer:

12t + 7y = x

      or

5t + 770 = x

Step-by-step explanation:

12t + 7y = x

t = number of hours he worked as a tutor

y = number of hours he worked as a waiter

x = the total amount of money he earned

t + y = 110

=> y = 110 - t

=> 12t + 7(110 - t) = x

=> 12t + 770 - 7t = x

=> 5t + 770 = x

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510 exercise books were shared among schools X, Y and Z. such that Z had 3/2 times as much as Y; and Y had 3 times as much as X.
ycow [4]
Overall, the goal is to find the value of x and then use this and the given total to find the percentage of x. First, to do this, we must set up our equations based on the given information.

x + y + z = 510

z = (3/2)y

y = 3x

Now, we can begin to solve with substitution. The ultimate goal is to get the first equation to be regarding one variable and them work backwards using that found value.
Substitute the 3rd equation into the second.

z = (3/2)(3x) ----> Simply
z = (9/2)x

Now, when we plug in z and y into the first equation, only x will be present.

x + (3x) + (9/2)x = 510 ---> Combine like terms.
4x + (9/2)x = 510 ---> Get a common denominator.

(8/2)x + (9/2)x = 510

(17/2)x = 510 -----> Multiply both sides by 2/17

Now, if you understand what you are looking at, you know that you just found your answer which is 2/17 because you are about to multiply that by the total.

2/17 = .12 × 100 = 12%

If you did not know that, you can continue solving and then find the answer using part over whole or the total books of school x divided by the total books from all schools. You will get the same answer!

x = (2/17)×510
x = 60

60/510 = .12 × 100 = 12%

I hope this helps!





8 0
4 years ago
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mihalych1998 [28]

Answer:

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Step-by-step explanation:

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