Write and solve a quadratic equation for the situation below. Choose the answer that has both an equation that correctly models the situation as well as the correct solution for the situation. You work for a company that produces custom picture frames. A new customer needs to frame a piece of rectangular artwork with dimensions 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 in ^2. What should the width of the frame be to accommodate their wis
1 answer
Question:
Write and solve a quadratic equation for the situation below. Choose the answer that has both an equation that correctly models the situation as well as the correct solution for the situation.
You work for a company that produces custom picture frames. A new customer needs to frame a piece of rectangular artwork with dimensions 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 in ^2. What should the width of the frame be to accommodate their wishes?
a)4x^2+52x+165=320; x = 2.5
b)None of the choices are correct.
c)4x^2+52x+165=320; x = 15.5
d)x^2+26x+165=320; x = 5
You work for a company that produces custom picture frames. A new customer needs to frame a piece of rectangular artwork with dimensions 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 in ^2. What should the width of the frame be to accommodate their wishes?
a)4x^2+52x+165=320; x = 2.5
b)None of the choices are correct.
c)4x^2+52x+165=320; x = 15.5
d)x^2+26x+165=320; x = 5
Answers
Okay so the area of a rectangle x by y with a border of width b will be:A=(x+2b)(y+2b)A=xy+2bx+2by+4b^2 we are told that A=320, x=11, and y=15 so now we have:320=165+22x+30x+4x^2, now I am using x as the border width...4x^2+55x+165=320 is the equation that they listed.....4x^2+55x-155=0 using the quadratic formula for efficiency...x=(-55±√5505)/8 since x>0x≈2.399 which for some unknown (incorrect) reason they rounded tox=2.5So in short, your answer is a)
Similar Solved Questions
1 answer
How much did the roses cost? Enter the correct answer. Brad wants to buy flowers for his friend with $15. The daisies are $1 each and the roses are $3 each. He buys 3 more daisies than roses. OOM DONE Clear all F?
How much did the roses cost?
Enter the correct answer.
Brad wants to buy flowers for his friend
with $15. The daisies are $1 each and
the roses are $3 each. He buys 3 more
daisies than roses.
OOM
DONE
Clear all
F?...
2 answers
Match the terms I.A. Richards Charles Fries morphology S.I. Hayakawa morpheme syntax fallacy phonology 1. a study of word forms 2. false idea or mistaken belief 3. branch of grammar dealing with arrangement of words and phrases in a sentence 4. study of word sounds and pronunciation 5. semantics and literary criticism 6. greatly advanced study of general semantics 7. a structural linguist 8. smallest unit of meaning in a word
Match the terms
I.A. Richards
Charles Fries
morphology
S.I. Hayakawa
morpheme
syntax
fallacy
phonology
1. a study of word forms
2. false idea or mistaken belief
3. branch of grammar dealing with arrangement of words and phrases in a sentence
4. study of word sounds and pronunciation
5. s...
2 answers
Richard recently accepted a job as a truck driver for a large transportation company, but he wants to one day run the company’s distribution center. What is Richard’s current educational level, and how can he best achieve his goal? Richard is a high school graduate with a special driver’s license who could quit his job and earn a master’s degree that meets his goals. Richard is a high school graduate with a special driver’s license who could earn a bachelor’s degree and apprentice with his compa
Richard recently accepted a job as a truck driver for a large transportation company, but he wants to one day run the company’s distribution center. What is Richard’s current educational level, and how can he best achieve his goal?
Richard is a high school graduate with a special driver’s lice...
2 answers
Look at the picture and answer correctly so i can mark you as brainliest.
Look at the picture and answer correctly so i can mark you as brainliest....
1 answer
What is the distribution, promotion, and injection of one culture into another?
What is the distribution, promotion, and injection of one culture into another?...
1 answer
A bag of marbles contains 7red 12orange 3blue and 6multicolored what is the probability of randomly selecting a marble that is not red
A bag of marbles contains 7red 12orange 3blue and 6multicolored what is the probability of randomly selecting a marble that is not red...
1 answer
How did the Spanish, French, and English colonize the Americas? 5 paragraphs
How did the Spanish, French, and English colonize the Americas? 5 paragraphs...
1 answer
In "i have a dream," what does dr. king urge african americans to do?
in "i have a dream," what does dr. king urge african americans to do?...
2 answers
¿Cómo se dice "Let's finish the scene en español?A. Termine la escena.B. Terminen la escena.C. Terminemos la escena.D. Terminas la escena.
¿Cómo se dice "Let's finish the scene en español?A. Termine la escena.B. Terminen la escena.C. Terminemos la escena.D. Terminas la escena....
2 answers
HELP!!! 100 POINTS!!! Find the total surface area of a cylinder with a height of 7 cm and radius of 3 cm. Leave your answer in terms of π. 140π cm2 91π cm2 60π cm2 51π cm2 Just put the answer below for brainly.
HELP!!! 100 POINTS!!! Find the total surface area of a cylinder with a height of 7 cm and radius of 3 cm. Leave your answer in terms of π.
140π cm2
91π cm2
60π cm2
51π cm2
Just put the answer below for brainly....
1 answer
What was the relationship between the American Revolution and the French Revolution? A Both began when Enlightenment ideas led their kings to treat people harshly. B Both formed because the Enlightenment changed people's ideas about religion. C Both were based on the Enlightenment's ideas about equality and freedom. D Both followed Enlightenment ideas written in the Declaration of Independence.
What was the relationship between the American Revolution and the French Revolution? A Both began when Enlightenment ideas led their kings to treat people harshly. B Both formed because the Enlightenment changed people's ideas about religion. C Both were based on the Enlightenment's ideas about equa...
1 answer
Write an equivalent expression for -2(6+7g)
write an equivalent expression for -2(6+7g)...
1 answer
I need help with the blanks. This geometry proofs.
I need help with the blanks. This geometry proofs....
2 answers
How did you save Clark? The following list is not in the correct order. The first two events are given to you as a starting point. Drag and drop the remaining events to identify the sequence of events showing how hypertonic saline restored equilibrium and stopped the seizures in Clark's brain. Seizures 1. 2. Administer hypertonic saline
How did you save Clark?
The following list is not in the correct order. The first two events are given to you as a starting point. Drag and drop the remaining events to identify the sequence of events showing how hypertonic saline restored equilibrium and stopped the seizures in Clark's brain.
Seizu...
2 answers
Kara thinks that her best friend’s outfit looks bad on her. When her friend asks Kara how she likes the outfit, Kara decides to lie to the friend and say that the outfit looks good. How might Kara explain her decision to lie if she is in the preconventional stage of moral development? How might she explain it if she is in the conventional stage?
Kara thinks that her best friend’s outfit looks bad on her. When her friend asks Kara how she likes the outfit, Kara decides to lie to the friend and say that the outfit looks good. How might Kara explain her decision to lie if she is in the preconventional stage of moral development? How might sh...