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
White raven [17]
3 years ago
11

The area if a rectangular frame is 32 square inches. The perimeter of the frame is 24 inches. Which shows the correct dimensions

of the frame?
Mathematics
1 answer:
Zarrin [17]3 years ago
8 0

Answer:

8 x 4

Step-by-step explanation:

Lets say the length is x and the width is y.

xy = 32

2x + 2y = 24

Rearranging the second equation, we get:

2x = 24 - 2y

/2         /2

x = 12 - y

substitute into the first equation

y(12 - y) = 32

12y - y^2 = 32

-32             -32

-y^2 +12y - 32 = 0

x -1                      x -1

y^2 - 12y + 32 = 0

(y - 8)(y - 4) = 0

y = 8 or 4

substitute into x = 12 - y.

x = 12 - 8 = 4

x = 12 -4 = 8

so the correct dimensions are 4 x 8, as either x = 4 and y =8, or x = 8 and y = 4.

Hope I helped!

You might be interested in
A pack of 9 toilet rolls costs £4.23
OleMash [197]
 a)  9 toilet rolls cost $ 4.23
       1 toilet roll costs  $ x

          9x = 4.23 * 1
           x= 4.23 / 9
            x = 0.47
So in first case one toilet roll costs $ 0.47.

b) 4 toilet rolls cost $1.96
    1 toilet roll costs  $ x
     
    4x = 1.96 * 1
     x = 1.96 / 4
     x = 0.49
So in second case one toilet roll costs $ 0.49.

0.47 < 0.49
The toilet roll in first case is cheaper than the toilet roll in second case.

Hope this heps!


8 0
3 years ago
Solve.<br><br> x^-9 y^3 / x^-7 y^8
aniked [119]

\dfrac{x^{-9}y^3}{x^{-7}y^8}=x^{-9-(-7)}y^{3-8}=x^{-2}y^{-5}=\dfrac{1}{x^2y^5}\\\\Used:\\\\\dfrac{a^n}{a^m}=a^{n-m}\\\\a^{-n}=\dfrac{1}{a^n}

3 0
3 years ago
100 points if you show how you got the answer!
ludmilkaskok [199]

First, simplify each one.

9.98 x 10^6 = 9980000

7.3 x 10^7 = 73000000

Next, subtract the freight from the aircraft

73000000 - 9980000 = 63020000

Round the decimal point to the first significant digit, and place the amount of place values the decimal point moved to the left as a power sign, over 10.

63020000 = 6.302 x 10^7

6.302 x 10^7 is your answer

hope this helps

8 0
3 years ago
Read 2 more answers
the variable M varies directly as the cube root of n. when n equals 27 m equals to 216. which equation can be used to find other
Aleks04 [339]

Answer:

A

Step-by-step explanation:

if you divide m by n you get 8

5 0
3 years ago
Do you know works at a dinner she earn six dollars each hour plus tips in one week she worked 37 hours a week and earned 43 tips
lukranit [14]

Answer:

265

Step-by-step explanation:

The computation of the amount that should be make out together is shown below:

Let us assume the number of hours be x

And, the total money earned be y

Now the equation would be

y = 6x  + 43

= 6(37) + 43

= 265

5 0
3 years ago
Other questions:
  • If the recommended adult dosage for a drug is D (in mg), then to determine the appropriate dosage c for a child of age a, pharma
    12·1 answer
  • Two numbers sum to 53. Twice the first subtracted from the second is 8. Find the numbers.
    13·1 answer
  • Find the are of a triangle (picture provided)
    14·2 answers
  • Help please I don’t understand this question
    14·1 answer
  • A 3.5‘ x 5.5‘ nearest place in a wooden frame what is the area of the frame
    15·1 answer
  • Find the value of 8/15×2/13 Although these numbers aren't quite as nice as the ones from the example, the procedure is the same,
    9·1 answer
  • Which table shows a proportional relationship between x and y?
    5·2 answers
  • Duo makes 65% of his dumplings with vegetarian fillings.
    5·1 answer
  • Audrey plotted the points on the coordinate plane. A (negative 2 and one-half, negative 3). B (negative 3 and one-half, 0). C (n
    7·2 answers
  • What Fraction is equivalent to 3/-5?<br><br> A. 5/-3.<br> B. -5/-3.<br> C -5/-3.<br> D. -3/-5
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!