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
Ilya [14]
3 years ago
9

The length of a rectangle is 5cm longer than twice the length of the width. If the perimeter is 88 centimeters, what is the widt

h?
Mathematics
1 answer:
padilas [110]3 years ago
3 0
L = length
W = width
P = perimeter

Equations:
L = 2W + 5
2L + 2W = P
P = 88

Solve using the equations above:

2(2W + 5) + 2W = 88
4W+ 10 + 2W = 88
6W + 10 = 88
6W = 78
w=16

the width is 16 centimeters
You might be interested in
What is the equation of the line that passes through the point (-4, 2) and has a slope of 1/4?​
natulia [17]

Answer:

y = 1/4x + 3

Step-by-step explanation:

m = 1/4, (-4,2)

y -2 = 1/4(x - - 4)

y - 2 = 1/4 (x + 4)

y - 2 = 1/4x + 1

y = 1/4x + 1 + 2

y = 1/4x + 3

5 0
3 years ago
See attached image. For part b, my answer is <img src="https://tex.z-dn.net/?f=h%28t%29%3D%5Cfrac%7Bt%5E2%7D%7B100%7D-%5Cfrac%7B
ArbitrLikvidat [17]

Answer:

a) shown

b) h = [sqrt(17) - (5/2)t]²

c) t = 2sqrt(17)/5 seconds

Step-by-step explanation:

V = pi × r² × h

V = pi × 5² × h

V = 25pi × h

a) dV/dt = dV/dh × dh/dt

-5pi × sqrt(h) = 25pi × dh/dt

dh/dt = -sqrt(h)/5

b) 1/sqrt(h) .dh = -5. dt

2sqrt(h) = -5t + c

t = 0, h = 17

2sqrt(17) = 0 + c

c = 2sqrt(17)

2sqrt(h) = -5t + 2sqrt(17)

sqrt(h) = [2sqrt(17) - 5t] ÷ 2

sqrt(h) = sqrt(17) - (5/2)t

Square both sides

h = [sqrt(17) - (5/2)t]²

c) empty: h = 0

0 = [sqrt(17) - (5/2)t]²

sqrt(17) - (5/2)t = 0

(5/2)t = sqrt(17)

t = 2sqrt(17)/5

t = 1.64924225 seconds

sqrt: square root

5 0
4 years ago
You are a restaurant manager and are responsible for ordering ingredients for the restaurant. At Supplier #1, you can purchase 2
Alisiya [41]
S1=$70/20gal=$3.50 per gallon

s2=$33.50/(50/4)gal=$2.68 per gallon

s3=$48.75/(15+8)gal=$2.12 per gallon

So supplier #3 has the best deal.
6 0
3 years ago
5 Quick algebra 1 questions for 50 points! <br><br><br> Only answer if you know all 5, Tysm! :)
PIT_PIT [208]

The equations of the perpendicular lines are: y = 1/2x + 6, y = 15, y = -x - 2, y = 6x + 3 and y = 1/3x - 4

<h3>How to determine the equations?</h3>

When a linear equation is represented as:

Ax + By = C

The slope (m) is:

m = -A/B

When the linear equation is represented as:

y = mx + c

The slope is m

A line perpendicular to a linear equation that has a slope of m would have a slope of -1/m

Using the above highlights, the equations of the lines are:

<u>6. y = -2x + 5; (2, 7)</u>

The slope is:

m = -2

The perpendicular slope is:

n = 1/2

The equation of the perpendicular line is:

y = n(x - x1) + y1

This gives

y = 1/2(x - 2) + 7

Evaluate

y = 1/2x - 1 + 7

This gives

y = 1/2x + 6

<u>7. y = -5; (11, 15)</u>

The slope is:

m = 0

The perpendicular slope is:

n = 1/0 = undefined

The equation of the perpendicular line is:

y = n(x - x1) + y1

This gives

y = 15

<u>8. Graph ; (-12, 10)</u>

The slope is:

m = (y2 - y1)/(x2 - x1)

Using the points on the graph, we have:

m = (2 - 3)/(3 - 4)

m = 1

The perpendicular slope is:

n = -1

The equation of the perpendicular line is:

y = n(x - x1) + y1

This gives

y = -1(x + 12) + 10

y = -x - 12 + 10

Evaluate

y = -x - 2

<u>9. y = -1/6x + 1; (-2, -9)</u>

The slope is:

m = -1/6

The perpendicular slope is:

n = 6

The equation of the perpendicular line is:

y = n(x - x1) + y1

This gives

y = 6(x + 2) - 9

Evaluate

y = 6x + 12 - 9

This gives

y = 6x + 3

<u>10. 6x + 2y = 14; (12, 0)</u>

The slope is:

m = -6/2

m = -3

The perpendicular slope is:

n = 1/3

The equation of the perpendicular line is:

y = n(x - x1) + y1

This gives

y = 1/3(x - 12) + 0

Evaluate

y = 1/3x - 4

Hence, the equations of the perpendicular lines are: y = 1/2x + 6, y = 15, y = -x - 2, y = 6x + 3 and y = 1/3x - 4

Read more about linear equations at:

brainly.com/question/13763238

#SPJ1

5 0
2 years ago
What is the equation of this graphed line?
barxatty [35]

Answer:

y=-\frac{1}{3}x-5

Step-by-step explanation:

Given:

The two points on the line are:

(x_1,y_1)=(-6,-3)\\(x_2,y_2)=(6,-7)

Now, for a line with two points on it, the slope of the line is given as:

m=\frac{y_2-y_1}{x_2-x_1}

For the points (x_1,y_1)=(-6,-3)\ and\ (x_2,y_2)=(6,-7), slope is:

m=\frac{-7-(-3)}{6-(-6)}\\m=\frac{-7+3}{6+6}\\m=\frac{-4}{12}=-\frac{1}{3}

Now, for a line with slope 'm' and a point (x_1,y_1) on it is given as:

y-y_1=m(x-x_1)

Plug in all the values and determine the equation of the line. This gives,

y-(-3)=-\frac{1}{3}(x-(-6))\\\\y+3=-\frac{1}{3}(x+6)\\\\y+3=-\frac{1}{3}x-\frac{1}{3}\times 6\\\\y+3=-\frac{1}{3}x-2\\\\y=-\frac{1}{3}x-2-3\\\\y=-\frac{1}{3}x-5

Therefore, the equation of the line is:

y=-\frac{1}{3}x-5

4 0
3 years ago
Other questions:
  • What is 23 squared? A. 1,058 B. 529 C. 129 D. 46
    15·2 answers
  • 513 divided by 23 math
    14·1 answer
  • What is the answer to (-9,1)+8x-5y=82
    11·1 answer
  • Sixteen is what percent of eighty?
    11·2 answers
  • Please help me I don't have a lot of time<br> tan(30)=a/2
    12·1 answer
  • A new battery's voltage may be acceptable (A) or unacceptable (U). A certain flashlight requires two batteries, so batteries wil
    10·1 answer
  • Find WX.<br> 144<br> V 37 W<br> X
    5·1 answer
  • Don't skip i need help as soon as possible and please hurry i will give 20 points + Brainliest
    14·2 answers
  • HELP ME PLEASE!!!!!!
    9·1 answer
  • What is the capacity of juice which measures 3L 9dL 3cL 9mL if it is equally divided into 3 bottles?
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!