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Ronch [10]
3 years ago
10

Solve. The answer must be a fraction. Solve by substituting.

Mathematics
1 answer:
maw [93]3 years ago
4 0

Answer: x = -14/5

Step-by-step explanation: We shall begin by expanding the brackets for both sides of the equation

-2/3 (x + 2) = 1/6 (x + 6)

(-2x/3) -4/3 = (x/6) + 1

By collecting like terms we now have

(-2x/3) - (x/6) = 1 + 4/3

(-4x - x)/6 = 7/3

-5x/6 = 7/3

By cross multiplication we now have

-5x (3) = 7 (6)

-15x = 42

x = -(42/15) {simplify further by dividing the RHS by 3}

x = -14/5

Therefore x equals, minus fourteen over five (-14/5)

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Determine the value of y is x is -10:<br> y=x-91+2
cestrela7 [59]

Answer:

y = x - 91 + 2 \\ x =  - 10 \\ y =  - 10 - 91 + 2 \\ y =  - 101 + 2 \\ x =  - 99

3 0
3 years ago
URGENT PLEASE HELP WILL GIVE BRAINLIEST TO CORRECT ANSWER ABC factory brought a pile of coal. If the factory burns 1500 kilogram
wolverine [178]

Solving a system of equations, we will see that there are 6000 kg of coal on the pile.

<h3>How many kilograms of coal are in the pile of coal?</h3>

Let's say that there are N kilograms of coal, and it is planned to burn it totally in D days, these are our variables.

We know that:

  • If the factory burns 1500 kilograms per day, it will finish burning the coal one day ahead of planned.
  • If it burns 1000 kilograms per day, it will take an additional day than planned.

Then we can write the system of equations:

(1500)*(D - 1) = N

(1000)*(D + 1) = N

Because N is already isolated in both sides, we can write this as:

(1500)*(D - 1) = N = (1000)*(D + 1)

Then we can solve for D:

(1500)*(D - 1) =  (1000)*(D + 1)

1500*D - 1500 = 1000*D + 1000

500*D = 2500

D = 2500/500 = 5

Now that we know the value of D, we can find N by replacing it in one of the two equations:

(1500)*(D - 1) = N

(1500)*(5 - 1) = N

(1500)*4= N = 6000

This means that there are 6000 kilograms of coal on the pile.

If you want to learn more about systems of equations:

brainly.com/question/13729904

#SPJ1

7 0
2 years ago
You can not multiply a fraction by a whole/integer number. is it true or false?
Misha Larkins [42]

Answer:

False

Step-by-step explanation:

As an example

\frac{1}{2} × 6 = 3

Thus a fraction can be multiplied by a whole number/ integer

7 0
3 years ago
On a map the distance between Juneau and Fairbanks is 5 inches. The approximate distance is 625 miles. The
Maru [420]

Answer:

2437.5 Miles

Step-by-step explanation:

first find how many miles 1 inch is 625/5 = 125

next you multiply 19.5 * 125 = 2437.5 miles

4 0
3 years ago
You buy t shirts and hoodies to help support the River bluff high school gators.T shirts cost $20 hoodies cost $35 You spent a t
stiks02 [169]

Answer:

$130 - ($20+$35) is the equation

7 0
3 years ago
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