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Ksivusya [100]
3 years ago
5

-6(x+7)=-4x-2 How many solutions does it have

Mathematics
1 answer:
geniusboy [140]3 years ago
6 0

Answer:

Equation have Unique solution i.e x=-20

Step-by-step explanation:

Given Equation:

-6(x+7)=-4x-2

Solving the Equation for 'x'.

           -6(x)-6(7)=-4x-2\\\\-6x-42=-4x-2

Adding '4x'  both sides:

             -6x+4x-42=-4x+4x-2\\\\-6x+4x-42=-2\\\\-2x-42=-2

Adding '42' both sides:

               -2x-42+42=-2+42\\\\-2x=40

                        x=\frac{40}{-2} \\\\x=-20

The equation have Unique solution with the value of x=-20

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Vinny worked 8 hours and was paid a total of $66. At this rate, how long
romanna [79]

Answer:

b, 20 hours

Step-by-step explanation:

First, find out how many times 66 (what Vinny made) goes into 165. (what Vinny wants to make) the answer is 2.5. Then, multiply 8 by 2.5 as well. You get 20. The answer is b, 20.

I hope this helps!

3 0
2 years ago
gary mixes a solution using two types of concentration of sale: .70 gallons of 5% and .30 gallons of 22% salt. what is the conce
wolverine [178]

Answer:

10.1%

Step-by-step explanation:

The first thing we should do is calculate the total volume of the solution when mixing them would be:

0.7 + 0.3 = 1

Now, we have that the resulting concentration (x) would be equal to the sum of the multiplications between the volumes and the concentrations to be mixed, as follows:

x * 1 = 0.7 * 0.05 + 0.3 * 0.22

x = 0.035 + 0.066

x = 0.101

That is, the concentration of the resulting mixture would be 10.1% (0.101 * 100)

5 0
3 years ago
Solve for X.<br><br>I've tried and it's confusing I'm not really that great at geometry
Nutka1998 [239]
Set as a proportion
16 = 12
------------------
5x+2 24

cross multiply
12(5x+2) = 16 * 24
60x +24 = 384
60x +24-24 = 384-24
60x =360
60x/60=360/60
x =6

To figure AB plug 6 into 5x+2
5x +2
5(6) + 2
30+2
32
AB = 32
4 0
3 years ago
A section of a boardwalk is made using 15boards. Each board is 9/1/4 inches wide. The total width of the section is 144 inches.
sleet_krkn [62]
If there are 15 boards there are 14 gaps in-between. 
But first, 15 boards each 9 and 1/4th inches so you get  a total of 138 inches and 3/4th
If you subtract that from 144 you get 5 inches and 1/4th. The remaining amount is the total of all of the distance from the spacing.
Then you divide that by 14 (number of gaps/spacing in-between.)
So you get .375 inches. (3/8)
So width of the spacing between each board is 3/8ths of a inch
4 0
4 years ago
henry painted a picture of his house on a canvas. the actual width of the driveway is 20 feet. If it is reresented with a width
AnnyKZ [126]

Answer:

5 feet = 1 inch

Step-by-step explanation:

20 / 4 = 5

5 feet = 1 inch

7 0
3 years ago
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