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3 years ago

The sum of twice a number and 13 is 75

1 answer:

4 0

Greetings!

<span>"The sum of twice a number and 13 is 75."...

Let's translate this into an equation:
</span> $2x+13=75$
<span>Solve for x:
Add -13 to both sides.
</span> $(2x+13)+(-13)=(75)+(-13)$
Simplify.
$2x=62$
Divide both sides by 2.
$(2x)/2=(62)/2$
Simplify.
$x=31$

The variable is equal to 31.

Hope this helps.
-Benjamin

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The perimeter of the rectangle below is 74 units. Find the length of side xy.

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4 0

2 years ago

A gardener already has four and one over 2 ft of fencing in his garage. He wants to fence in a square garden for his flowers. Th

NikAS [45]

<h2>Answer:</h2>

$6\frac{1}{2}$ <u>, "six and one over two ft".</u>

<h2>Step-by-step explanation:</h2>

Let's considerate the fact that the garden has a <u>square shape</u>.

<h3>1. Finding values of interest.</h3>

Amount of fence that the gardener already has: $4\frac{1}{2}$ ft.

Length of one side: $2\frac{3}{4}$ ft.

If one side measures $2\frac{3}{4}$ ft, and the square garden has 4 sides of equal length, because it's a square, then we must multiply the measure of one side by 4 to find the total length of fence needed:

$4*(2\frac{3}{4})=\\ \\4*(2+\frac{3}{4})=\\ \\(4*2)+(4*\frac{3}{4})=\\ \\8+(\frac{12}{4} )=\\ \\8+3=\\ \\11$

The gardener already has $4\frac{1}{2}$ , which equals $4 + \frac{1}{2}$ . Hence, the difference between the amount needed and the amount that the gardeneralready has will give us the remaining amount required. Let's do that:

$11-(4+\frac{1}{2} )=\\ \\11-(\frac{8}{2} +\frac{1}{2} )=\\ \\11-\frac{9}{2}= \\ \\\frac{22}{2} -\frac{9}{2}=\\\\ \frac{13}{2}$

<h3>3. Express your result.</h3>

$\frac{13}{2} =\\ \\\frac{2}{2} +\frac{2}{2} +\frac{2}{2} +\frac{2}{2} +\frac{2}{2} +\frac{2}{2} +\frac{1}{2}= \\ \\6+\frac{1}{2}=\\ \\6\frac{1}{2}$

8 0

1 year ago

PLZZ HELPP WILL GIVE BRAINLIEST Graph the line y=25x+3. Use the line tool and select two points on the line. THIS IS A K12 TEST

Sophie [7]

Step-by-step explanation:

you can use any value either in place of x or y to find the corresponding coordinate but if you want to find the x and y intercept you can desigate x as zero and find the y intercept and vice versa.

so to find x and y intercept

y=25x+3. to find x intercept designate y as zero

0=25x+3

-3=25x

x= -3/25. p( -3/25,0)

y=25x+3 to find y intercept designate x as zero

y=25(0)+3

y=3. p(0,3)

the above y and x intercept indicates the points that the line of equation pass through when drawn graphically.

6 0

3 years ago

This is for a Geometry-H class

crimeas [40]

Applying the linear angles theorem, the measures of the larger angles are: 130 degrees.

The measures of the smaller angles are 50 degrees

<h3>How to Apply the Linear Angles Theorem?</h3>

Based on the linear angles theorem, we have the following equation which we will use to find the value of y:

3y + 11 + 10y = 180

Add like terms

13y + 11 = 180

Subtract 11 from both sides

13y + 11 - 11 = 180 - 11

13y = 169

13y/13 = 169/13

y = 13

Plug in the value of y

3y + 11 = 3(13) + 11 = 50 degrees

10y = 10(13) = 130 degrees.

Therefore, applying the linear angles theorem, the measures of the larger angles are: 130 degrees.

The measures of the smaller angles are 50 degrees.

Learn more about the linear angles theorem on:

brainly.com/question/5598970

#SPJ1

6 0

1 year ago

A rectangular room is twice as long as it is wide, and its perimeter is 48 meters. Find the width of the room.

Dimas [21]

Answer:

The width of the rectangular room =x= 8

Step-by-step explanation:

Given: A rectangular room is twice as long as it is wide, and its perimeter is 48 meters.

To find: The width of the room.

Solution: Let the width of the rectangular room= x meters, then the length of the rectangular room will be = 2x.

Now, Perimeter of rectangular room=2(l+b)

⇒48=2(2x+x)

⇒24=3x

⇒x=8 meters

Then, the width of the rectangular room =x= 8 meters and the breadth of the rectangular room=2x=2(8)=16 meters.

8 0

3 years ago

Read 2 more answers