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____ [38]
3 years ago
9

Solve the equations by combining like terms. Show all the steps: 16x − 4x = -48

Mathematics
2 answers:
shusha [124]3 years ago
6 0
Do the Xs have to be the same number
Alexxx [7]3 years ago
5 0
You can combine like/similar terms if the number has the same x at the end, or if the like terms are all regular numbers.
Since 16x and -4x both have an x, you can combine them like you usually would.
16x - 4x = 12x
12x = -48
If you want to solve the equation, you’d divide both numbers by 12 to get your singular x value.
x = -4

Hope that helped! :)
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A triangle has a base of 7 1/8 feet and height 7 1/5 ft. what is the area as a mixed number
sleet_krkn [62]

The answer is 25 13/20 square feet.

In order to complete this operation, it is first best to change your mixed numbers into improper fractions.

7 1/8 = 57/8

7 1/5 = 36/5

Now that we have these, we can put them into the triangle formula.

A = 1/2bh

A = (1/2)(57/8)(36/5)

A = 1026/40

You can then simplify this fraction by dividing the top and bottom by a factor of 2.

A = 513/20

Then, because we know 20 goes into 500, 25 times, we can pull that out and be left with a remainder of 13/20.

A = 25 13/20

8 0
3 years ago
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Two cars start moving from the same point. One travels south at 24 mi/h and the other travels west at 18 mi/h. At what rate (in
matrenka [14]

Answer:

The rate at which the distance between the two cars is increasing is 30 mi/h

Step-by-step explanation:

Given;

speed of the first car, v₁ = 24 mi/h

speed of the second car, v₂ = 18 mi/h

Two hours later, the position of the cars is calculated as;

position of the first car, d₁ = 24 mi/h  x 2 h  = 48 mi

position of the second car, d₂ = 18 mi/h  x 2 h = 36 mi

The displacement of the two car is calculated as;

displacement, d² = 48² + 36²

                        d² = 3600

                        d = √3600

                        d = 60 mi

The rate at which this displacement is changing = (60 mi) / (2h)

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4 0
2 years ago
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