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]
2 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]2 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
Find the inverse function y=-5x+20
Nezavi [6.7K]

Answer:

y= \frac{-1}{5} x +4

Step-by-step explanation:

We can find the inverse function of this excercise, isolating X and then changing the variables.

y=-5x+20\\y-20=-5x\\\frac{y-20}{-5} =x\\

\frac{y}{-5}-\frac{20}{-5}  = x\\\frac{-1}{5}y+\frac{20}{5} =x\\ \frac{-1}{5}y+4 =x

And now we change the variables and we get the inverse function:

y= \frac{-1}{5} x +4

7 0
2 years ago
Right now the number 33 and 89 to estimate their sum
ozzi

<span> <span><span>Addition, you can have 89 + 33 = 122 </span>
<span>Commutative Property by moving: 33 + 89 = 122
<span>Associative Property by grouping: (3 + 30) + (80 + 9 ) = 122 </span>
<span>Distributive Property by allotting: 10 (8.9) + 33 = 113   </span>


</span></span> Other examples include:
Addition, you can have 33 +  = 113 </span>
<span>Commutative Property by moving: 107 + 6 = 113 </span>
<span>Associative Property by grouping: (3 + 3) + (100 + 7 ) = 113 </span>
<span>Distributive Property by allotting: 2 (3) + 107 = 113   </span>

<span>Multiplication, you can have 6 x 107 = 642 </span>
<span>Commutative Property by moving: 107 x 6 = 642 </span>
<span>Associative Property by grouping: (3 + 3) x (100 + 7 ) = 642 </span>
<span>Distributive Property by allotting: 2(3) x 107 = 642<span>
</span></span>

4 0
3 years ago
The following two-way table shows the number of students of a school who have a video game and/or have a laptop:
mote1985 [20]
Its 65 because 15 + 50 =65


5 0
3 years ago
Read 2 more answers
Bill is $75. tip is 18% what is the total bill
yarga [219]

Answer:

Total bill = $88.50

Step-by-step explanation:

Amount of bill = $75

Tip = 18%

Amount of tip = \frac{18}{100}*75

Amount of tip = 0.18 * 75

Amount of tip = $13.50

Total bill = Bill + Tip

Total bill = 75 + 13.50

Total bill = $88.50

3 0
3 years ago
Read 2 more answers
Isabella worked 50 hours over the past two weeks, and she gets paid by the hour. During the first week of the two-week span, she
4vir4ik [10]

Answer:

$190.00

Step-by-step explanation:

285÷30=9.5

9.5×20=190

Hope this helps! :)

8 0
3 years ago
Other questions:
  • Is it true true that two segments that have the same length must be congruent
    15·1 answer
  • To find the volume of a cylinder, we multiply the area of the base by the height. What other figures use the same formula?
    5·1 answer
  • The number 88 is 44% of what number
    10·1 answer
  • Use the law of cosines to find the length of side C.
    12·1 answer
  • Find the slope of the line that contains (7, -4) and (3, -3).
    14·2 answers
  • Murray expects to leave work by 4:30 p.m., but he may leave later than that. He has a meeting at 7:00 p.m. Which statement repre
    6·2 answers
  • What is the area of the figure below?
    13·1 answer
  • HELP IF GOOD AT GEOMETRY, WILL MARK BRAINLIEST AND HAVE 30 MINUTES LEFT
    11·2 answers
  • Anthony's age, x, is 5 less than twice Brian's age, y. Brian's age is 7 less than Anthony's age. Which system of equations repre
    5·1 answer
  • The value of 3 1/3 + 2 1/2
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!