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
Licemer1 [7]
3 years ago
8

The perimeter of a rectangle is 162 inches. what are the dimensions of the rectangle if the length is 7 times than 3 times the w

idth?​
Mathematics
1 answer:
ankoles [38]3 years ago
7 0

Answer:

3.68 inches × 77.28 inches

Step-by-step explanation:

Given that,

The perimeter of a rectangle is 162 inches.

Let the width is b.

ATQ,

Length = 7 times than 3 times the width

l = 7(3b) = 21b ...(1)

The perimeter of a rectangle is given by :

P = 2(l+b)

Put all the values,

162 = 2(21b+b)

81 = 22b

b = 3.68 inches

Put the value of b in equation (1)

l = 21b

= 21 (3.68)

= 77.28 inches

Hence, the dimensions of the rectangle are 3.68 inches × 77.28 inches

You might be interested in
A theater group made appearances into cities the hotel charge before tax and the second city was 1500 higher than the first the
Svetlanka [38]

Answer:

The hotel charge in each city before tax was <u>$5125</u> of the first city and <u>$3625</u> of the second city.

Step-by-step explanation:

Given:

A theater group made appearances into cities the hotel charge before tax and the second city was 1500 higher than the first.

The tax of the first city was 6% and the tax of the second city was 10%.

Total hotel tax paid for two cities with $670.

Now, to find the hotel charge in each city before tax.

Let the hotel charge in first city before tax be x.

And the hotel charge in second city before tax be y.

<em>So, as the hotel charge of the second city was 1500 higher than the first.</em>

<em>Thus</em>,

y=x-1500   ........(1)

<em>And as given, the tax of the first city was 6% and the tax of the second city was 10%, total hotel tax paid for two cities with $670.</em>

6% of x + 10% of y = $670.

\frac{6x}{100} +\frac{10y}{100} =670

0.06x+0.10y=670

Substituting the value of y from equation (1) we get:

0.06x+0.10(x-1500)=670

0.06x+0.10x-150=670

0.16x-150=670

<em>Adding both sides by 150 we get:</em>

0.16x=820

<em>Dividing both sides by 0.16 we get:</em>

x=5125.

<em>The hotel charge in first city before tax = $5125.</em>

Now, substituting the value of x in equation (1) we get:

y=x-1500

y=5125-1500

y=3625.

<em>The hotel charge in second city before tax = $3625.</em>

Therefore, the hotel charge in each city before tax was $5125 of the first city and $3625 of the second city.

5 0
3 years ago
Help plz:) photo attached
bonufazy [111]

Answer:

y=5x+25

Step-by-step explanation:

Since the y intercept for the scatterplot is 25, that means that the only equation that matches the graph is y=5x+25

y=5(0)+25

y=0+25

y=25

7 0
2 years ago
What is h(x)=|3x|-1 ? x=7. Insert 7 for x. Thanks!!
tiny-mole [99]

Answer: 20

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

h(x) = |3x| - 1

h(7) = |3(7)| - 1

      = |21| - 1

      =  21  - 1

      = 20

3 0
3 years ago
Simplify √16a^8 b^-2<br><br> A. 4 a^4/b^2<br> B. 4 a^4/b <br> C. 4a^4b<br> D. 4a^4b^2
-BARSIC- [3]
Answer is

<span>B. 4 a^4/b 
</span><span>
hope it helps

</span>
6 0
3 years ago
Find the measure of QP<br><br>PLEASE SHOW WORK​
KIM [24]

the measurement of QP=8 CM

8 0
2 years ago
Other questions:
  • The amount of a radioactive material changes with time. The table below shows the amount of radioactive material f(t) left after
    9·2 answers
  • Round each number to the place of the underlined diget 0.724 7
    5·1 answer
  • What is one of the solutions to the following system of equations? y2 + x2 = 53 and y − x = 5
    10·1 answer
  • HELPP it’s due today!!! I’ll give brainlist!!!
    14·1 answer
  • Banana cheese salad with cheese on top
    11·2 answers
  • A cube has a side length of 10 meters. What is the volume of the cube? Can someone explain how to solve this so I can do it on m
    15·2 answers
  • What value of C makes the equation true? -3 - 3/4(c - 4) = 5/4
    9·1 answer
  • 2a+3/2 - a-2/3 = a-1/4
    7·2 answers
  • Jodi owns 112 shares of stock selling for $16.20. How many more shares can she purchase after receiving a dividend of $0.80 per
    8·1 answer
  • Please help!! Much appreciated.
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!