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lakkis [162]
3 years ago
14

One number is seven more than twice another . If their sum is decreased my ten the result is twelve. Find the numbers

Mathematics
1 answer:
Rainbow [258]3 years ago
3 0

Answer:

5, 17

Step-by-step explanation:

For this problem, you need to create a system of equations.

We can name one number x and the other y.

First equation: 2x + 7 = y

Second equation: x + y - 10 = 12, or x + y = 22.

We know y = 2x + 7, so we can substitute that into the second equation.

x + 2x + 7 = 22.

3x = 15

x = 5.

Plug x back into the first equation:

2 · 5 + 7 = y.

y = 10 + 7

y = 17.

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The question is incomplete. Here is the complete question:

A machine covers 5/8 square foot in 1/4 hour. what is the unit rate?

Answer:

2.5 square feet per hour

Step-by-step explanation:

Given:

Area covered by a machine = frac{5}{8}\ ft^2

Time taken to cover the given area = \frac{1}{4}\ h

Now, unit rate of the first quantity with respect to second quantity is the magnitude of the first quantity being when the second quantity is one unit.

Here, the first quantity is the area covered and the second quantity is the time taken.

So, unit rate is the area covered by the machine in 1 hour.

In order to find that, we use the unitary method and divide the area by the total time taken. Therefore,

Unit\ rate=\frac{Total\ area\ covered}{Total\ time\ taken}\\\\Unit\ rate=(\frac{5}{8}\ ft^2)\div (\frac{1}{4}\ h)\\\\Unit\ rate=\frac{5}{8}\times \frac{4}{1}\ ft^2/h\\\\Unit\ rate=\frac{20}{8}=2.5\ ft^2/h

Thus, the unit rate is 2.5 square feet per hour.

5 0
3 years ago
Match the inequality to the graph of its solution.<br> a. n/4 ≤ -1<br> b. -10 ≥ -100<br> c. 5x ≥ 20
postnew [5]
<span>a. n/4 ≤ -1

Multiply both sides by 4 => n ≤ - 4, which is all the real numbers less or equal than - 4.

That in the real number line is all the numbers to the left of - 4 (including  -4)

The matching graph is the B.


b. -10n ≥ -100

Divide both sides by - 10 => n ≤ 10

That is all the real numbers less or equal than 10.

In the real number line it is all the numbers to the left of 10, including 10.

So, the matching graph is the A.


c. 5x ≥ 20

Divide both sides by 5 => x ≥ 4

That is all the real numbers greater or equal to 4.

In the real number line it is all the numbers to the right of 4, including 4.

The matching graph is C.</span>
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3 years ago
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Answer:

It is impossible becuase it would not eqaul the numbers a regular triangles would have. A triangle has to equal a certain number and this number does not make a traingle.

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