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castortr0y [4]
4 years ago
12

Solve for x: . 3x – 1 = –2x + 39

Mathematics
1 answer:
zysi [14]4 years ago
5 0

<em>x = 8</em>

Step-by-step explanation:

3x-1=-2x+39

Add 1 to both sides.

3x=-2x+40

Add 2x to both sides.

5x=40

Divide 40 by 5.

x = 8

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. A circulating pump consumes 450 W for 24 hr a day. a. Determine the energy consumed for a one-year period. b. Calculate the ut
Anit [1.1K]

Answer:

  a. 3942 kWh

  b. $473.04

  c. 1314 kWh

  d. $157.68

Step-by-step explanation:

<h3>a. </h3>

There are 1000 W in 1 kW, so 450 W = 0.450 kW. The energy used per day is ...

  (0.45 kW)(24 h) = 10.8 kWh . . . . energy per day

Then in a 365-day year, the energy used is

  (365 da/yr)(10.8 kWh/da) = 3942 kWh/yr

__

<h3>b.</h3>

At the rate of $0.12/kWh, the cost of running the pump is ...

  ($0.12/kWh)(3942 kWh/yr) = $473.04/yr

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<h3>c.</h3>

Switching the pump off for 1/3 of the time will save 1/3 of the energy found in part (a):

  1/3(3942 kWh) = 1314 kWh . . . . energy saved by switching off the pump

__

<h3>d.</h3>

The savings will be 1/3 of the cost of running the pump full time:

  1/3($473.04/yr) = $157.68/yr

4 0
2 years ago
How do you do inequalities
fgiga [73]
So some quick tips for inequalities:
**What you do to one side you HAVE TO do it to the other 2**
**If you ever divide a negative number past the inequality signs, the signs FLIP!!**
(e.g. 2>-5x>25)
-2/5 <x < -5

I hope that this has helped!
8 0
3 years ago
If f(x) = -x + 5 and g(x) = 3x + 2, Find f(2)*g(2).
Romashka [77]

Answer:

24

Step-by-step explanation:

To find f(#) or g(#), plug the number into each x of the equation.

f(x) = -x + 5

f(2) = -(2) + 5

Simplify the parentheses by multiplying.

f(2) = -2 + 5

Add.

f(2) = 3

g(x) = 3x + 2

g(2) = 3(2) + 2

Simplify the parentheses by multiplying.

g(2) = 6 + 2

Add.

g(2) = 8

Now they are asking you to multiply

f(2) • g(2)

3 • 8

= 24

Hope this helps!

6 0
3 years ago
0.2r = 0.5r<br> hurry help
ziro4ka [17]

Answer:

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Step-by-step explanation:

that statement is false if that helps

3 0
3 years ago
The manager of a grocery store selected 100 customers at random to ask what the maximum price is
Brilliant_brown [7]
What is the rest of the question?
8 0
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