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ratelena [41]
3 years ago
10

Twice the sum of a certain number and 73 is 156

Mathematics
1 answer:
sleet_krkn [62]3 years ago
8 0
X= a number

Twice the sum of a number (x) plus 73 equals 156.

EQUATION:
2(x + 73)= 156

Not sure if you need to solve it too, but here's how to solve:

2(x + 73)= 156
multiply 2 by all in parentheses

(2*x) + (2*73)= 156
2x + 146= 156

subtract 146 from both sides
2x= 10

divide both sides by 2
x= 5

The missing number is 5.

CHECK:
2(x + 73)= 156
2(5 + 73)= 156
2(78)= 156
156= 156

Hope this helps! :)

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The perimeter of a rectangle is 60. The length is twice the width. Find the length and width.
prohojiy [21]

Step-by-step explanation: Our first task in this problem is to setup variables representing <em>length</em> and <em>width</em> and we do that by using the second sentence.

<em><u>The length is twice the width</u></em>

So if we call our width <em>x</em>, that means that our length is 2 times <em>x</em> or 2x

Width of the rectangle ⇒ <em>x</em>

Length of the rectangle ⇒ <em>2x</em>

Before moving on, go ahead and draw a picture of your

rectangle so that you can visualize what's going on.

I have done this for you below.

We label our widths <em>x</em> and our lengths <em>2x</em>.

Now we can use the first sentence to setup our equation.

The perimeter of a rectangle is the distance

around the outside of the figure.

So if our perimeter is 60, that means that x + x + 2x + 2x = 60.

Simplifying by combining like terms, we get 6x = 60.

Now dividing both sides by 6, we find that <em>x = 10</em>.

Since <em>x</em> represents width, our width is 10.

Our length therefore with be <em>2(10)</em> or 20.

So our width is 10 and our length is 20.

8 0
3 years ago
Someone please help! I gave this extra points because the question has a picture. I will give thanks and 5 star for any answer.
tiny-mole [99]

Answer:

53°

Step-by-step explanation:

x + (2x + 21) = 180

(Corresponding angles &

Supplementary angles)

3x + 21 = 180

3x = 159

x = 53°

7 0
3 years ago
4 1/9 - 3 3/5 what is the answer to this question ?
Sindrei [870]
The answer is 0.51111111111111111 (It goes on for infinity).
8 0
3 years ago
Liz flips a coin 40 times. The coin lands heads up 24 times and tails up 16 times. What is the theoretical probability of the co
Semenov [28]

Answer:50

Step-by-step explanation:

Because I just got it right

4 0
3 years ago
Which equation shows the correct use of the Distributive Property? <br> −4(32x−12)=−15
KengaRu [80]

Answer:

-128x + 48 = -15

Step-by-step explanation:

I don't any  choices to pick from but using the distributive property you will multiply the -4 by everything in the parenthesis.

-4(32x - 12) = -15

=-128x + 48 = -15.

6 0
3 years ago
Read 2 more answers
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