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
vredina [299]
3 years ago
5

You work for a company that produces custom picture frames. A new customer needs to frame a piece of rectangular artwork with di

mensions of 11 x 15 in. They don't want the framed art to be too big so they want to limit its area to 320 inches ^ 2. What should the width of the frame be to accommodate their wishes?
1) None of the choices are correct.

2) x² + 16 =800

3) x² + 8x + 16 = 800

4) x² 16x + 64 = 800
Mathematics
1 answer:
miskamm [114]3 years ago
4 0

Answer:

None of the choices are correct.

Step-by-step explanation:

Let x be the width of the frame,

The framed art cannot me more than 320 square inches

(11 + 2x) \times (15+2x) \leq 320

(165 +30x +22x +4x^2 ) \leq 320

4x^2+52x + 165 \leq 320

4x^2 +52x + 165-320 \leq 0

4x^2 +52x - 155\leq 0

By using the quadratic formula

x = \frac{-b\pm \sqrt{(b^2-4ac)}}{2a}

x = \frac{-52\pm \sqrt{(52^2-4(4)(-155))}}{2(4)}

x = \frac{-52\pm \sqrt{(2704+2480)}}{2(4)}

x = \frac{-52\pm \sqrt{(5184)}}{2(4)}

x = \frac{-52\pm 72}{2(4)}

x = \frac{20}{8}

x= \frac{5}{2}

x = 2.5

Frame must not be more than 2.5 inches wide.

You might be interested in
The sum of 5 and y is at least 18?​
Mashcka [7]

Answer:

y=13

Step-by-step explanation:

5+13=18

7 0
3 years ago
Read 2 more answers
Help please :c!
LUCKY_DIMON [66]

Answer:

see the procedure

Step-by-step explanation:

we know that

m∠1+m∠2=180° -----> supplementary angles (form a linear pair)

we have

m∠1=27° ----> given problem

substitute the measure of m∠1 in the equation above and solve for m∠2

27°+m∠2=180°

Subtract 27° both sides

27°+m∠2-27°=180°-27° ----> by subtraction property of equality

m∠2=153°

4 0
3 years ago
A.<br> If the side ratio is 5:13, then the area ratio is ?
frez [133]

25:169 can be if is a rectangle  ( times by the number itself )

or is is a square times by 2 ( 10/26)

8 0
3 years ago
What is the value of the expression 3y−zy+5z3y−zy+5z when y = 6 and z = 2?
WARRIOR [948]
The valve of the expression would be 184
6 0
3 years ago
Read 2 more answers
<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B%3F%7D%7B%3F%7D%207" id="TexFormula1" title=" \frac{?}{?} 7" alt=" \frac{?}{?} 7"
belka [17]
Hi, I'd be glad to help you with this equation. 

The answer is (33/43) 

Hope this helps. 
Have a great day!
3 0
3 years ago
Other questions:
  • Choose the correct simplification of (8x4y3)2. (5 points)
    5·2 answers
  • the area of one circle is 9 times as great as the area of another. If the radius of smaller circle is 3, find the radius of larg
    12·1 answer
  • The point (5,-6) lies on a circle and the center of the circle is at the point (5,-8).
    11·1 answer
  • A cubed shapes box has a volume of 1,000 in to the 3rd power. What is the length of each side of the box?
    7·1 answer
  • About how many centimeters are in 6.25 inches if 1 inch is about 2.5
    6·1 answer
  • Kelly works in a grocery store stocking shelves. The graph below shows the money Kelly earns stocking shelves.
    8·1 answer
  • I GIVEEEEE BRAINLILSTTTTT
    14·2 answers
  • A shape is shown on the centimetre grid below.
    14·2 answers
  • WILL MARK BRANLIEST NEED HELP ASAP
    9·2 answers
  • A shipping company must design a closed rectangular shipping crate with a square base. The volume is 2880ft3. The material for t
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!