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
Molodets [167]
3 years ago
8

The base of a rectangle is 6cm longer than its height. The area of a rectangle is 91cm squared. What is the perimeter of the rec

tangle?
Mathematics
1 answer:
r-ruslan [8.4K]3 years ago
6 0

Width = 7cm

Length = 13cm

<u>Explanation:</u>

Area of rectangle =  91cm^{2}

Let width of the rectangle = b ,  

So, length = b+6

Area of rectangle = (length X width) - eqn 1

Putting the value of length and width in above equation 1,

91cm^{2} = b  (b+6)\\91 = b^{2}+6b\\b^{2} + 6b-91 = 0\\

On solving the quadratic equation we get,

b = 7cm

So, width (b) = 7cm

and length = 7+6

l = 13cm

Hence,  

Width = 7cm

Length = 13cm

You might be interested in
Name the smallest even number divisible by 6 and 9.
Step2247 [10]

Answer:

18

Step-by-step explanation:

5 0
2 years ago
Find the slope of the line that goes through the given points.<br> (0,8) and (- 4,0)
Ronch [10]

Answer:

slope = 2

Step-by-step explanation:

Calculate the slope m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 8) and (x₂, y₂ ) = (- 4, 0)

m = \frac{0-8}{-4-0} = \frac{-8}{-4} = 2

6 0
2 years ago
Read 2 more answers
Tara and Edith share a sum of money in the ratio 13 : 12
svlad2 [7]

Answer:

She receives 108.33% ( or $108.33)

Step-by-step explanation:

Tara receives $108.33 because 13/12 into a percentage =108 times 100

which = 108.33.That's all there is to it! Hope you have a great day.

5 0
2 years ago
Write an equivalent expression using distributive property and simplify for each question
Lana71 [14]

Answer:

Check explanations

Step-by-step explanation:

For all real numbers a,b, and c, the distributive property states that:

a(b + c) = ab + ac

For Part A, we have

2x + 10x = x(2 + 10) = x(12) = 12x

Or

2x + 10x = 2x(1 + 5) = 2x(6) = 12x

For Part B, we have

-4(3x-10)+5(2-6x)=-4*3x--4*10+5*2-5*6x

This simplifies to:

-4(3x-10)+5(2-6x)=-12x+40+10-30x

-4(3x-10)+5(2-6x)=-12x-30x+40+10

-4(3x-10)+5(2-6x)=-42x+50

For the C part, we have:

2(x - 4) + x = 2 \times x - 2 \times 4 + x

2(x - 4) + x = 2x - 8+ x

2(x - 4) + x = 3x - 8

For Part D, we have:

-3-7(3-4x)+8x =  - 3 - 7 \times 3  - 7 \times  - 4x + 8x

We simplify to get:

-3-7(3-4x)+8x =  - 24+28x + 8x

Simplify further to get:

-3-7(3-4x)+8x =-24+36x

4 0
3 years ago
A waitress sold 15 ribeye steak dinners and 18 grilled salmon​ dinners, totaling ​$559.81 on a particular day. Another day she s
Orlov [11]

Let  the steaks = X and the salmon = y.

Set up two equations:

15x + 18y = 559.81

19x + 9y = 583.66

Now using the elimination method:

Multiply the second equation by -2, then add the equations together.

(15x+18y=559.81)

−2(19x+9y=583.66)

Becomes:

15x+18y=559.81

−38x−18y=−1167.32

Add these equations to eliminate y:

−23x=−607.51

Divide both sides by -23 to solve for x:

x= -607.51 = -23 = 26.413478

Now you have the cost for a steak.

To solve for the cost of the salmon, replace x with the value in the first equation and solve for y.

15(26.413478) + 18y = 559.91

396.202174 + 18y = 559.81

Subtract 396.202174 from both sides:

18y = 163.607826

Divide both sides by 18:

y = 163.607826 / 18

y = 9.089324

Round both x and Y to the nearest cent:

X (Steaks) =$26.41

Y (Salmon) = $9.09

7 0
3 years ago
Other questions:
  • Can somebody help me with this question?
    6·2 answers
  • What is the equation of the line in slope intercept form?<br> ANSWER ASAP PLZ!!!!!!!!!!!!!
    11·1 answer
  • What is the reciprocal of 1 and 1/9
    8·1 answer
  • What is the value of fraction 1 over 2x3 3.4y when x = 4 and y = 2? 12.8 14.8 25.8 38.8
    7·1 answer
  • Rank the following from least to greatest based on their axis of symmetry.
    5·1 answer
  • carley beat the school record for the 400 meter run by 1.3 seconds. if she ran the race in 55.7 seconds what was the record?
    5·1 answer
  • What two numbers can be multiplied to get positive 48 and added to get -14?
    5·2 answers
  • Taylor graphed a scatter plot of the number of hours she drove (h) and the number of miles she traveled (d). She then found a tr
    6·1 answer
  • Thirty students have planned picnic. The ratio of girls to boys is 3 : 7. How many boys are there?
    14·2 answers
  • Add.<br><br> −4+(−19)<br><br> Enter your answer in the box.<br><br> help please!
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!