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
ELEN [110]
3 years ago
14

The length of a rectangle is 3 inches longer than half of its width. The area of the

Mathematics
1 answer:
IgorLugansk [536]3 years ago
8 0

Answer:

Width = 26 inches

Step-by-step explanation:

The area of the rectangle is:

area = (length*width)

416 = a*b

a = b/2  + 3

a = length

b = width

then:

416 = (b/2 + 3) (b)

416 = b*b/2 + b*3

416 = b²/2 + 3b

0 = b²/2 + 3b - 416

b = {-(+3)±√((3²)-(4*1/2*-416))} / (2*1/2)

b = {-3±√(9+832)} / 1

b = {-3±√841}

b = -3±29

only take the positive value becuse is a natural number

b = -3+29

b = 26 inches

a = b/2 + 3

a = 26/2 + 3

a = 13 + 3

a = 16 inches

Check:

416 = 16 * 26  

You might be interested in
A polynomial function can be written as (x 1)(x 4)(x − 7). what are the x-intercepts of the graph of this function? (1, 0), (4,
IrinaVladis [17]
Easy

set to zero
those are the roots or xintersepts

(x+1)(x+4)(x-7)=0

x+1=0
x=-1

x+4=0
x=-4

x-7=0
x=7

xints are (-4,0) (-1,0) (7,0)
5 0
3 years ago
Read 2 more answers
What is the original price of the box of cereal?
Ludmilka [50]

Answer:

$3.20

Step-by-step explanation:

3 0
2 years ago
A private school opened in 2005 with an initial enrollment of 85 students. The enrollment has increased by an average of 18 stud
mafiozo [28]
<span>1. Let t = time in years, with t = 0 representing the year 2005. Let f(t) = the number of students enrolled at the private school and g(t) = the number of students enrolled at the public school. Create the two functions to represent the situation.

f(t) = 85 + 18t </span>⇒ y = 85 + 18x<span>
g(t) = 95 + 15t </span>⇒ y = 95 + 15x

y = y
85 + 18x = 95 + 15x
18x - 15x = 95 - 85
3x = 10
x = 10/3
x = 3 1/3

y = 85 +18(10/3) = 85 + 180/3 = 85 + 60 = 145
y = 95 + 15(10/3) = 95 + 150/3 = 95 + 50 = 145

x = 10/3 or 3 1/3
y = 145
4 0
3 years ago
Leah is writing an equivalent equation which solves for y. What should be her next step? 3x+4y=8 Add 4y to both sides of the equ
ratelena [41]

The given equation is

3x+4y=8

And we have to solve for y.

Solving for y, means isolating y . And to isolate y, we need to get rid of 4 that is with y .

It means we have to separate 4 from y, and for separation , we have to perform division. That is, we have to divide both sides by 4, and that will be the next step .

So out of the four options, correct option is the last option .

4 0
2 years ago
Read 2 more answers
Shana bought 6.2 pounds of pecans and paid $56.00. About how much per pound did the pecans cost?
spayn [35]
56÷6.2 equals 9.032≈9 the answer is 9 $
8 0
3 years ago
Read 2 more answers
Other questions:
  • Help ASAP pleaseeeee!!!!!!!!
    5·1 answer
  • Answer to this question
    7·1 answer
  • Siri round each number to the place of the underlined digit 7.158 The underlined number is five
    5·1 answer
  • A family wants to rent a car to go on vacation company a charges $70.50 and $.14 per mile Company B charges $40.50 and $.10 per
    10·1 answer
  • Using the slope​ formula, find the slope of the line through the points (0,0) and (3,6).
    15·1 answer
  • Pay $0.24 for each banana OR pay $1.99 per pound of bananas ​
    9·2 answers
  • 25 ≥ 5u u = 5<br><br> True of false ( show work )
    6·1 answer
  • Is √7 a rational number? why or why not? Explain
    6·2 answers
  • PLEASE HELP PLEASE HELP PLEASE
    9·1 answer
  • Carlos is paid $17.90 per hour regularly. If he worked 45 hours last week, what was his gross pay? Carlos is paid at time-and-a-
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!