1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
mojhsa [17]
3 years ago
10

A rectangular porch has a width that is 7 feet less than the length. If the area of the porch floor is 120 square feet, what is

the length of the width of the porch?
Mathematics
1 answer:
Eduardwww [97]3 years ago
8 0

Answer:

The answer to your question is width = 8 ft

Step-by-step explanation:

Data

width = x - 7

length = base = x

Area = 120 ft²

Process

1.- Write the formula of the area of a rectangle

           Area = base x width

- Substitution

           120 = x (x - 7)

2.- Solve for x

            120 = x² - 7x

             x² - 7x - 120 = 0

- Factor the polynomial      

     - Find the prime factors of 120

                120  2

                  60  2

                  30  2

                   15  3

                    5   5

                     1          

    - Find two numbers that added gives -7

      These numbers are -15 and + 8

    - Factor

                 x² - 15x + 8x - 120

                x(x - 15) + 8(x - 15)

                (x - 15)(x + 8) = 0

                 x₁ = 15          x₂ = -8

-The length of the base is 15 because there are no negative lengths.

3.- Conclusion

Base = 15

Width = 15 - 7 = 8

You might be interested in
12. Write the equation of a parabola with vertex at<br> (2, -3) and focus at (2,5),
Tatiana [17]

Step-by-step explanation:

The basic form of equation:

(x-h)²=4a(y-k),

(h,k)=coordinates of vertex

(h, k+a) = coordinate of focus

For given parabola:

axis of symmetry: x=2

(h, k) =(2,-3)

(h, k+a)=(2,5)

k+a=5

-3+a=5

a=8(distance from vertex to focus on the axis of symmetry)

equation: (x-2)²=4×8(y+3)

(x-2)²= 32(y+3)

7 0
3 years ago
I am thinking of a number. I subtract 10 then divide by 2 and I now have 19. What was my original number? (Hint: Start with the
saw5 [17]
48 because that's what you get following your equation in PEMDAS order :)
5 0
3 years ago
Read 2 more answers
Write the percent shown by each model. Explain your reasoning.
Sphinxa [80]
A) 1/3=33 1/3%
B) 2/3=66 2/3%
C) 1/6=16 2/3%

A) YOU CAN TURN THE FRACTION 1/3 INTO A DECIMAL WHICH WILL BE AROUND 0.333. THEN YOU TURN THE DECIMAL INTO A PERCENT. YOU CAN MOVE THE DECIMAL TWO PLACES TO THE RIGHT. THAT GIVES YOU 33.3% OR 33 1/3% THIS ALSO APPLIES TO B BUT WITH 0.666 AND 66.6%

FOR C, YOU DO THE SAME. 1/6 AS A DECIMAL IS 1.666. YOU MOVE THE DECIMAL TWO PLACES TO THE RIGHT. 16.6% OR 16 2/3%


HOPE THIS HELPED.
8 0
3 years ago
I need help. what is the answer to this question. a.b.c. or d
bekas [8.4K]
A because the median is 0.1 and the mean is much higher
7 0
3 years ago
Can someone pleaseeee help if you’re correct I’ll give u brainlist
Effectus [21]

<em><u>Answer:</u></em>

The answer is 70 degrees.

<em><u>Step-by-step explanation:</u></em>

1. All the angles in a circle add up to 360, and the red square thing in the TVU angle means it's a 90 degree angle.

2. Add 150 plus 50 plus 90 = 290

3. 360 degrees (total) - 290 degrees = 70 degrees! :)

3 0
3 years ago
Other questions:
  • Jericho is a botanist and is researching about a particular species of plant. He found that the number of plants in his testing
    13·1 answer
  • Can someone help me order these from least to greatest
    12·1 answer
  • Can someone please explain how i can solve this ...thank you very much
    8·2 answers
  • When finding scale factor do you multiply?
    14·1 answer
  • Algebra tile grid (x+2)(x-3)
    14·1 answer
  • Help Help Help HELPPP MEEE PLEASEE :&lt;
    5·1 answer
  • What is the slope of the line?<br> pleaseeee help
    7·1 answer
  • What is the difference of the fractions? Use the number line to help find the answer. 1/2 - 1 1/5​
    14·1 answer
  • In ΔSTU, the measure of ∠U=90°, the measure of ∠S=16°, and TU = 5.9 feet. Find the length of ST to the nearest tenth of a foot.
    13·1 answer
  • I WILL GIVE BRAINLIEST
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!