Yes; the corresponding sides are proportional.

Allison earns $14 an hour plus $20 an hour for every hour of overtime. Overtime hours are any hours more than 35 hours for the w

Ronch [10]

Part a) Create an equation that shows the amount of money earned, E, for working x hours in a week when there is no overtime

Let

E-------> the amount of money earned

x------> number of hours worked

we know that

For $x\leq35$

$E=14x$

therefore

the answer part a) is

$E=14x$

Part b) Create an equation that shows the amount of wages earned, T, for working y hours of overtime

Let

T-------> the amount of money earned

y------> number of hours of overtime

we know that

$T=14*35+20y$

$T=\$490+20y$

therefore

the answer part b) is

$T=\$490+20y$

Part c) Allison earned $610 in 1 week. How many hours (regular plus overtime) did she work?

we know that

$35\ hours=\$490$

$\$610-\$490=\$120$

Divide $\$120$ by $\$20$ ----> to obtain the hours of overtime

$\frac{120}{20}=6\ hours\ of\ overtime$

So

Allison works

$35+6=41\ hours$

$Regular=35\ hours\\ Overtime=6\ hours$

therefore

the answer part c) is

$Regular=35\ hours\\ Overtime=6\ hours$

4 0

3 years ago

Find t20 for the arithmetic sequence in which t1 = 36 and t3 = 28,

Galina-37 [17]

Hey there! I’m happy to help!

We want to look for the twentieth term in this sequence. Because it is arithmetic, this means that the same term will always be added or subtracted.

As we can see, our first term is 36 and then the third is twenty eight. This is a difference of eight, and since our subtracted term will always be the same, we will take this eight and divide it by two, so we can now see that we are subtracting four for each term.

To find the twentieth term, you could count, but that would be a hassle. You can also use the arithmetic sequence formula, which I will show below.

You take the desired term (20)

Subtract 1 (19)

Multiply it by the common term/difference (19*-4=-76)

And then add the first number of the sequence (-76+36= -40)

You can now do those exact same steps for any arithmetic sequence you are dealing with!

So, your twentieth term is -40!

I hope that this helps!

8 0

4 years ago

Kamal bought 7 7 packs of paper clips for a project. Then he bought 8 8 more packs. There are 25 25 paper clips in each pack. Ho

Anon25 [30]

Hello, here is the answer!

Answer: 375

Step-by-step explanation: 7+8=15

15x25=375

375 paper clips

6 0

3 years ago

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