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navik [9.2K]
3 years ago
9

The length of a rectangle is 3 m longer than it’s with.if the perimeter of the rectangle is 50 m find the langth and the width

Mathematics
2 answers:
grin007 [14]3 years ago
5 0

Answer:

2(3x+x)=50...4x=25...width is 6/25 meter and length is 18/75

gavmur [86]3 years ago
5 0
Here is the answer with the steps :)

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John had to pay a combined electric and gas bill $150. The electric portion of the bill was $90. What is the ratio of money spen
tatuchka [14]

Given:

John had to pay a combined electric and gas bill $150.

The electric portion of the bill was $90.

To find:

The ratio of money spent on electric to that on gas.

Solution:

Let x be the amount of gas bill.

The electric portion of the bill was $90 and John had to pay a combined electric and gas bill $150.  So,

90+x=150

x=150-90

x=60

The gas portion of the bill was $60.

The ratio of money spent on electric to that on gas is:

\text{Required Ratio}=\dfrac{\text{Electric bill}}{\text{Gas bill}}

\text{Required Ratio}=\dfrac{90}{60}

\text{Required Ratio}=\dfrac{3}{2}

\text{Required Ratio}=3:2

Therefore, the ratio of money spent on electric to that on gas is 3:2.

7 0
3 years ago
What are the possible steps involved in solving the equation shown? Select three options. 3.5 + 1.2(6.3 – 7x) = 9.38 Add 3.5 and
motikmotik

Answer:

1) Distribute 1.2 to 6.3 and -7x

2)Combine 3.5 and 7.56

3)Subtract 11.06 from both sides

Step-by-step explanation:

3.5 + 1.2(6.3 - 7x) = 9.38

Distribute 1.2 to 6.3 and -7x

3.5 + 1.2* 6.3 - 1.2 * 7x = 9.38

        3.5 + 7.56 - 8.4x = 9.38

Combine 3.5 and 7.56

11.06 - 8.4x = 9.38

Subtract 11.06 from both sides

11.06 - 8.4x -11.06 = 9.38 - 11.06

                    -8.4x = -1.68

To find solution:

Divide both sides by (-8.4)

-8.4x/-8.4 = -1.68/-8.4

 x = 0.02

8 0
3 years ago
Read 2 more answers
A cone is placed inside a cylinder. The cone has half the radius of the cylinder, but the height of each figure is the same. The
Yuliya22 [10]
Here is the answer: 3/4 (pi r^2 h)
5 0
3 years ago
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The graph of y=f(x) is shown below. What are all of the read solutions of f(x) = 0?
Sveta_85 [38]

Answer:

0, -1, -3

Step-by-step explanation:

f(x) = y = height of the line plotted

if you treat the x axis as the "ground" or "floor"....you're looking for the point when the graph "hits" the "floor", meaning zero height.

3 0
3 years ago
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En un triangulo ABC, el angulo B mide 64° y el angulo C mide 72°. La bisectriz interior CD corta a la altura BH y a la bisectriz
nadezda [96]

Answer:

The difference between the greatest and the smallest angle of the triangle PBQ is 98°.

Step-by-step explanation:

The question is:

In a triangle ABC, angle B measures 64 ° and angle C measures 72°. The inner bisector CD intersects the height BH and the bisector BM at P and Q respectively. Find the difference between the greatest and the smallest angle of the triangle PBQ.

Solution:

Consider the triangle ABC.

The measure of angle A is:

angle A + angle B + angle C = 180°

angle A = 180° - angle B - angle C

             = 180° - 72° - 64°

             = 44°  

It is provided that CD and BM are bisectors.

That:

angle BCP = angle PCH = 36°

angle CBQ = angle QBD = 32°

angle BHC = 90°

Compute the measure of angle HBC as follows:

angle HBC = 180° - angle BHC + angle BCH

                  = 180° - 90° - 72°

                  = 18°

Compute the measure of angle BPC as follows:

angle BPC = 180° - angle PCB + angle CBP

                  = 180° - 18° - 36°

                  = 126°

Then the measure of angle BPQ will be:

angle BPQ = 180° - angle BPC

                  = 180° - 126°

angle BPQ = 54°

Compute the measure of angle PBQ as follows:

angle PBQ = angle B - angle QBD - angle HBC

                  = 64° - 32° - 18°

angle PBQ = 14°

Compute the measure of angle BQP as follows:

angle BQP = 180° - angle PBQ - angle BPQ

                  = 180° - 14° - 54°  

angle BQP = 112°

So, the greatest and the smallest angle of the triangle PBQ are:

angle BQP = 112°

angle PBQ = 14°

Compute the difference:

<em>d</em> = angle BQP - angle PBQ

  = 112° - 14°

  = 98°

Thus, the difference between the greatest and the smallest angle of the triangle PBQ is 98°.

4 0
3 years ago
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