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Nana76 [90]
4 years ago
5

John works as a tutor for an hour and as a waiter for an hour. This month, he worked a combined total of hours at his two jobs.

Let be the number of hours John worked as a tutor this month. Write an expression for the combined total dollar amount he earned this month.
Mathematics
1 answer:
liberstina [14]4 years ago
6 0

Correct Question:

John works as a tutor for $12 an hour and as a waiter for $8 an hour. This month, he worked a combined total of 86 hours at his two jobs.

Let be the number of hours John worked as a tutor this month. Write an expression for the combined total dollar amount he earned this month.

Answer:

Total hours = 86

Let t is the hours he spent on tutoring

then (86-t) is hours spent on waiting

Let Y is the total amount in dollars which is required .

Now;

y = (tutoring hours x 12$) + (waiting hours x 8$)

Y = 12t + 8(86-t)

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Rudik [331]

The value of x is 8.

Solution:

Given \triangle V D G \sim \triangle V N Q.

DG = 60, NQ = 48, DN = 15, NV = x + 4

<u>To find the value of x:</u>

<em>Property of similar triangle:</em>

If two triangles are similar then the corresponding angles are congruent and the corresponding sides are in proportion.

$\Rightarrow\frac{DG}{NQ} =\frac{DN}{NV}

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