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3 years ago

The amount in dollars an electrician charges in terms of the number of hours worked is represented by the function y=22x+42.

Mathematics

1 answer:

sasho [114]3 years ago

7 0

Answer:

Step-by-step explanation:"

The electrician charges an initial fee of $42", AND "The electrician charges $22 for every hour worked" is true.

The equation is y=22x+42. The formula is y=mx+b.m is the slope, or is this case, the number of dollars for every "x", which is the number of hours worked. So you have to pay $22 for every hour the electrician works.b is the y-intercept, or the amount it starts with, in this case, you have to pay a fee of $42 even when the electrician worked 0 hours. This is because $42 is the amount it starts with.On a graph, the line will start at (0,42) because that is when you start paying. And then it will increase by 22 for each hour, so the next coordinate would be (1,64).

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What is the fourth term in the binomial expansion of (2x – y) 7?

nata0808 [166]

Answer:

$(7C4) (2x)^4 (-y)^{7-4}$

And replacing we got:

$35 (2^4) x^4 (-y)^{-3}$

And then the final term would be:

$-560 x^4 y^3$

Step-by-step explanation:

For this case we have the following expression:

$(2x-y)^7$

And we can use the binomial theorem given by:

$(x+y)^n =\sum_{k=0}^n (nCk) x^k y^{n-k}$

And for this case we want to find the fourth term and using the formula we have:

$(7C4) (2x)^4 (-y)^{7-4}$

And replacing we got:

$35 (2^4) x^4 (-y)^{-3}$

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3 years ago

Triangle XY Z is similar to triangle ABC.

garri49 [273]

Answer:

13.5

Step-by-step explanation:

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2 years ago

Read 2 more answers

christina lost 1/10 of her marbles when she was on the playground. She lost 8/10 of her marbles while walking home. How many mar

Kisachek [45]

Answer:

9/10

Step-by-step explanation:

She lost 1/10 and 8/10 marbles. When you add them up you get 9/10. There for, Christina lost 9/10 marbles altogether.

Hope this helps :)

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3 years ago

Winnie can walk 2 miles in 30 minutes. How many miles can she walk in 2 hours? (Remember 1hr = 60 min) A. 2 B. 4 C. 6 D. 8

Sati [7]

The answer is D-8.

If Winnie walks 2 miles in 30 minutes, 30 minutes is half an hour so for 1 hour which is 60 minutes, she can walk 4 miles, 90 minutes she can walk 6 and for 120 minutes which is 2 hours she can walk 8.

So all I did was multiply 2 by 4 and got 8. The number 4 came from the thought that 2 hours have 4 sets of 30 minutes

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3 years ago

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:

$0.05x + 0.1y + 0.25z = 3.65$