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
elena55 [62]
3 years ago
8

The length of a rectangle is 5 inches more than its width, x. The area of a rectangle can be represented by the equation x 2 + 5

x = 300. What are the measures of the width and the length? Width = a0 inches Length = a1 inches
Mathematics
1 answer:
Arada [10]3 years ago
8 0

Answer:

Width = 15 inches             Length = 20 inches

Step-by-step explanation:

The area of a rectangle is calculated using the following formula.

A = Lx   (1)

Where L is the length and x is the width of the rectangle

In this case we know that the length of the rectangle is 5 inches greater than its width. This means that:

L = x + 5   (2)

Also The area of a rectangle can be represented by the equation x^2 + 5x = 300

so to find the width x we solve the equation

x^2 + 5x -300=0   (3)

For an equation of the form ax ^ 2 + bx + c = 0 the quadratic formula is:

x=\frac{-b\±\sqrt{b^2-4ac}}{2a}

In this case note that:

a=1\\b=5\\c=-300

Then:

x=\frac{-5\±\sqrt{(5)^2-4(1)(-300)}}{2(1)}

x=\frac{-5\±\sqrt{25+1200}}{2}

x=\frac{-5\±\sqrt{1225}}{2}

x=\frac{-5\±35}{2}

x_1=\frac{-5+35}{2}  →  x_1=15

x_2=\frac{-5-35}{2}  →   x_2=-20

We take the positive solution x=15\ in

Now we use equation (2) to find L

L = x + 5

L = 15 + 5

L = 20\ in

You might be interested in
Jose can paint an entire house in seven hours and brandon can paint the same house in eight hours. Write an equation that can be
guajiro [1.7K]

Answer:

t/8 + t/7 = 1

Step-by-step explanation:

Given in the question that,

time require for Jose to paint the house = 7 hours

time require for Brandon to paint the house = 8 hours

Suppose t means Full house painted.

<h3>To solve the question we have to figure out how much each of them can paint in ONE hour.</h3>

7 hours----t

1 hour ---- t/7

8 hours----t

1 hour ---- t/8

<h3>Equation</h3>

t/8 + t/7 = 1 (in one hour)

(7t + 8t)/8(7) = 1

15t/56 = 1

15t = 56

t = 56/15

t = 3.73 hours

5 0
3 years ago
What’s the third side?
romanna [79]
The anwser is 90 because its 90 degree angle
6 0
3 years ago
The Difference BETWEEN the CI and SI on a Certain sum of money for 2 years at 15% per annum is RS.180.Find the sum
klio [65]

Step-by-step explanation:

when the difference between CI and SI given then the sum =

difference (100/r)^2

given difference is Rs . 180

Rate of interest is 15%

sum = 180× (100/15)^2

180×10000/225

= 8000

8 0
3 years ago
Jim and Jackie are married with three children at home and a mortgage. Jim’s net pay per year is $67,000 and Jackie does not hav
rodikova [14]

The correct option is that they should work on their plan for managing income.

<h3>How to illustrate the information?</h3>

Given that Jim and Jackie are married with three children and have a home at mortgage.

The net pay per year of Jim is $67,000 and Jackie do not earn at all. The mortgage expenses and monthly expenses are

$(2,800+2,700) = $5,500, not much as compared to the total income.

Also, Jim contributes 15% of his income , i.e., $10050 into the retirement fund and also they have savings of $5,000.

In addition, there is a $500,000 life insurance policy on Jim and a $100,000 policy on Jackie.

Therefore, looking at all of these, it can be concluded that the net income of Jim per year is not bad at all to manage the expenses, they just have to work on it little more to run the family smoothly.

Thus, the correct option is that they should work on their plan for managing income.

Learn more about income on:

brainly.com/question/25745683

#SPJ1

Complete question:

Jim and Jackie are married with three children at home and a mortgage. Jim’s net pay per year is $67,000 and Jackie does not have income. Their mortgage payment of $2,800 includes insurance on their home. They have additional monthly expenses of $2,700. Jim contributes 15% of his earnings to a retirement fund and they have $5,000 in savings. There is a $500,000 life insurance policy on Jim and a $100,000 policy on Jackie. As their financial advisor, what part of Jim and Jackie’s financial plan would you encourage them to work on? a. They should work on their plan for managing income. b. They should work on their plan for managing their liquidity. c. They should work on their plan for protecting their assets. d. They should work on their plan for protecting their income.

3 0
2 years ago
Help ASAP (7th Grade math) (Use graph for 6-7)
Aleks04 [339]
Its is C 8 because 8 plus 8 is 16 so you want to keep doing 8 until you find 36
8 0
3 years ago
Read 2 more answers
Other questions:
  • Alva Nunez is a punch press operator for Drummond Machine Company. She earns $1.10 for every molding she presses. What is her to
    7·2 answers
  • Suppose you invest 1600 dollars at an annual interest rate of 4.6% compounded continuously how much will you have in the account
    15·1 answer
  • I Need The Answer Plz I’m Failing Plz
    15·2 answers
  • Determine whether the function is linear or quadratic. Identify the quadratic, linear, and constant terms of the equation: y=(x-
    9·1 answer
  • What is the value of the expression?<br><br> −4.2(0.35−3.5)
    7·1 answer
  • Can someone help me on this question please?<br> Factorize x²-5x-6
    14·2 answers
  • Solve the system by substitution 3x + 2y = 2<br> y = X-4
    10·1 answer
  • Anyone ?? Know the answers to these both? Due tmr morning
    13·1 answer
  • I don't see how to do this...............................
    8·2 answers
  • What value of x is in the solution set of 8x - 6 &gt; 12 + 2x?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!