Complete the work to find the dimensions of the rectangle. w(2w 4) = 240 2w2 4w = 240 2w2 4w – 240 = 0 2(w 12)(w – 10) = 0 what is the width of the rectangle? what is the length of the rectangle?

Answers

Answer 1

Answer:

  10 units wide; 24 units long

Step-by-step explanation:

The width is represented by the variable w in the given equation ...

  w(2w +4) = 240

__

This is conveniently divided by 2. Writing in standard form lets us see potential factoring.

  w(w +2) = 120

  w² +2w -120 = 0

  (w +12)(w -10) = 0 . . . . . . factor

  w = -12  or  w = 10 . . . . . width

  2w+4 = 2(10) +4 = 24 . . . length

The positive solution to this equation is the one of interest here.

The width of the rectangle is 10 units; its length is 24 units.


Related Questions

Change a speed of 630 kilometres per hour to a speed in metres per second. Show your working

Answers

Answer:

1750 m/s

Step-by-step explanation:

1km = 1000m

1 hour = 60 minutes = 3600 seconds

( 630 * 1000 )/ (60 * 60)

= 1750 m/s

Riley drank 8/10 quart of iced tea and her friend drank 0.3 quart. How much more of a quart of iced tea did Riley drink than her friend?

Answers

Riley drank 1/2 more of a quart of iced tea than her friend.




Explanation:

0.3 as a fraction is 3/10. So Riley’s friend drank 3/10 of a quart of iced tea.

Riley drank 8/10’s of a quart so let’s set up an equation.


8/10 - 3/10


Solve.


= 5/10, which can be simplified to 1/2.



Hope this helps!

Answer:

1/2

Step-by-step explanation:

0.3 can be converted into 3/10. TO find out how much more of a quart of iced tea that Riley drank than her friend, we have to subtract the amount of iced tea that her friend drank from the amount that Riley drank.

8/10 - 3/10 = 5/10

Now, we have the opportunity to simplify the fraction. 5/10 is the same as 1/2. Therefore, Riley drank 5/10, or 1/2, more than her friend. I hope this helps! Have a lovely day!! :)

At lunch, kira eats either a burrito containing 490 milligrams of sodium or a peanut butter sandwich containing 700 milligrams of sodium. her doctor told her to reduce her sodium to no more than 4,000 milligrams per week. which inequality represents x, the number of microwave burritos, and y, the number of peanut butter sandwiches, she can eat each week? 490x 700y < 4000 490x 700y ≤ 4000 490x 700y > 4000 490x 700y ≥ 4000

Answers

The inequality represents x, and y, she can eat each week is,

490x+700y \leq 4000.

x be the number of microwave burritos

y be  the number of peanut butter sandwiches

we know that

[tex]490x+700y \leq 4000[/tex].........inequality that represents the situation

What is the meaning of inequality?

The mathematical expression in which the sides of an equation are not equal to each other.

we use a graphing tool

The solution is the shaded area

Please find  the attached figure

Therefore,the answer is 490x+700y \leq 4000

To learn more about the inequality visit:

https://brainly.com/question/19104371

please help with this math question sceenshot below

Answers

Answer:

that would be the second option (-4,7)(-7,0)(-1,0)

Step-by-step explanation:

The answer is given away once you translate point S to the right 2 and down 3 making the point (-4,7) and there is only one answer with that point.

help me find the surface area of this shape please

Answers

Step-by-step explanation:

Divide the solid into 2 cones.

SA of a cone

= πrl

l of cone 1

l² = r² + h²

l² = 9² + 12²

l² = 81 + 144

l² = 225

l = √225

l = 15cm

SA of cone 1

= πrl

= π × 9 × 15

= π × 135

= 135π

l of cone 2

l² = r² + h²

l² = 9² + 40²

l² = 81 + 1600

l² = 16081

l² = 126cm

SA of cone 2

= πrl

= π × 9 × 126

= π × 1134

= 1134π

SA of solid

= 135π + 1134π

= 1269π

Using ε − δ definition of a limit, show that limx→2
x+1
x =
3
2

Answers

The [tex]\lim_{x \to 2} x+1=2+1=3[/tex] using the ε − δ definition of a limit.

ε − δ definition of a limit?

Epsilon-Delta defines a limit at a finite point that has a finite value.

To find the limit, two variables, delta (δ) and epsilon (ε) are first created then the epsilon region is choosen so as to define a delta region.

[tex]\lim_{x \to 2} x+1=2+1=3[/tex]

The [tex]\lim_{x \to 2} x+1=2+1=3[/tex] using the ε − δ definition of a limit.

Find out more on ε − δ limit at: https://brainly.com/question/17603639

How do you create a rectangular prism with a volume of 315 cubic inches?

Answers

A rectangular prism with volume of 315 cubic inches can be formed with length, width and height of of 9inches, 7 inches and 5 inches respectively

How to form a rectangular prism with the given volume

Volume of a rectangular prism = lwh

where

h = heightw = widthl = length

Therefore,

volume of the rectangular prism = lwh

315 = lwh

315 = 9 × 7 × 5

Therefore, a  rectangular prism with volume of 315 cubic inches can be formed with length, width and height of 9inches, 7 inches and 5 inches respectively.

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someone please help find the perimeter

Answers

Answer:

26 metres

Step-by-step explanation:

(Assuming this is for the whole shape)

5 + 5 + 4 + 8 + 4

= 26 m

Barbara got a flat tire and does not have a spare. she needs her car for work, so she goes to a business that offers payday loans in order to get the money to buy a new tire. she borrows $75 and plans to pay it back when she gets paid in 8 days. barbara is charged a fee of $15 and the term on her loan is 8 days. approximately what is the annual percentage rate on her loan? a. 228% b. 487% c. 913% d. 973%

Answers

The annual percentage rate of the loan is approximately 913%. option c is correct.

What is the annual percentage?

The yearly interest earned by an amount charged to borrowers or paid to investors is referred to as the annual percentage rate.

APR is a percentage that indicates the real annual cost of money for a loan or investment over the period of the loan.

The amount borrowed =  $75

no of days =8 days

Fees charged = $15

The annual percentage is found as;

[tex]\rm r = \frac{final \ value}{initial \ value } -1 \\\ \rm r = \frac{f 90}{75 } -1 \\\\ r=0.20 \\\\[/tex]

If the rate of interest is  20% then the annually the rate is obtained as;

[tex]\rm r_{annual}= \frac{0.20}{8 \ days} \times \frac{365}{1 \ year} \\\\ \rm r_{annual}=913 /year[/tex]

Hence the annual percentage rate of the loan is approximately 913%. option c is correct.

To learn more about the annual percentage refer to the link;

https://brainly.com/question/17613825

Answer:

C

Step-by-step explanation:

Barbara got a flat tire and does not have a spare. She needs her car for work, so she goes to a business that offers payday loans in order to get the money to buy a new tire.  She borrows $75 and plans to pay it back when she gets paid in 8 days. Barbara is charged a fee of $15 and the term on her loan is 8 days. Approximately what is the annual percentage rate on her loan?

a.

228%

b.

487%

c.

913%

d.

973%

C

What is the volume of the right triangular prism shown below?

V = Bh

b = 1/2bh

Answers

Answer:

165

Step-by-step explanation:

V=BH

B=[tex]\frac{1}{2\\}[/tex]BH

V=([tex]\frac{1}{2}[/tex] x 5 x 6) x 11

V= ([tex]\frac{30}{2}[/tex]) x 11

V= 15 x 11

V= 165 f[tex]t^{2}[/tex]

PLEASE HELP VERY URGENT

Suppose you know the following facts about angle ABC and angle DEF: (1) both triangles have sides of length a and b (2) For angle ABC, a^2 + b^2 = c^2 (3) For angle DEF, angle F is a right triangle. Use the list of expressions below to find the value of c in angle ABC and the length of the hypotenuse of angle DEF.

The value of c in angle ABC is _______ and the length of the hypotenuse of angle DEF is ________.

A. square root of a^2 + b^2
B. a^2 + b^2
C. b^2 - a^2
D. square root of a^2 - b^2
E. a^2 - b^2
F. square root of b^2 - a^2

(if u have trouble reading the text look at the attached photo for the question)

Answers

Answer:

A. square root of a^2 + b^2 for both answers

Step-by-step explanation:

The first problem, we are given

a^2 + b^2 = c^2

What we do is solve for c.

sqrt(a^2 + b^2) = c

c = sqrt(a^2 + b^2)

For problem 2,

WE can apply the Pythagorean theorem because we have a right triangle.

The equations is

a^2 + b^2 = c^2 like the first problem

Solving gets us

sqrt(a^2 + b^2) = c

c = sqrt(a^2 + b^2)

3. What is the surface area of this composite solid? Show your work.
5 ft
5 ft
3 ft
4 ft
10 ft
8 ft

Answers

By finding the area of the simpler parts, we will see that the total surface area of the figure is 348 ft^2

How we do get the surface area?

We can divide this in smaller parts. First, remember that for a triangle of base b and height h, the area is:

A = b*h/2

Then for each of the triangles in the image, the area is:

A = 8ft*3ft/2 = 12 ft^2

And we have two of these.

Then we have the base, a rectangle of 8ft by 10ft, with an area:

A' = 8ft*10ft = 80ft^2

Then we have the front and back sides, rectangles of 8ft by 4ft, with an area:

A'' = 8ft*4ft = 32 ft^2  (we have two of these).

Then the lateral sides, rectangles of 10ft by 4ft, with an area:

A''' = 10ft*4ft = 40ft^2  (we have two of these)

Finally, we have the top rectangles, of 5ft by 10ft, each with an area:

A'''' = 5ft*10ft = 50ft^2 (we have two of these).

Adding all the areas, we get:

Area  = 2*(12 ft^2 + 32 ft^2 + 40ft^2 + 50ft^2) + 80ft^2 = 348 ft^2

If you want to learn more about areas, you can read:

https://brainly.com/question/24487155

Q1- Tommy pays $22.50 for 2.6 pounds of salmon. What is the price per pound of salmon?

Q2- The cost of 3 pounds of grapes is $6.57. What is the constant of proportionality that relates the cost in dollars, y, to the number of pounds of grapes, x?

Q3- 1/2 of a pizza cost $9.50. How much would it cost for one whole pizza?

Q4-The cost of 1/4 cup of ice cream is $3.00. How much would it cost for one whole cup?

Answers

Q3 the answer is 19.00/ explanation: just add 9.50 twice or multiply times 2

Wendell is building a doghouse using these pieces of wood:

The pieces of wood to build a doghouse with the highest point to the lowest point of 28 inches.

Each length with one mark (I) is 36 inches. Each length with two marks (II) is 18 inches. Each length with three marks (III) is 30 inches. Each end has a height (from the highest point to the lowest point) of 28 inches.

The doghouse will have the shape shown once it is built.

The shape of the doghouse.
Part A
If Wendell were to slice the doghouse in half with a slice parallel to the pentagonal bases, what shape would the slice be?

Answers

If Wendell were to slice the doghouse in half with a slice parallel to the pentagonal bases, the shape of the slice would be a pentagon.

What is a solid figure?

A solid figure is a three dimensional shape having length, width and height. Examples of solid figures are cylinders, cone, pyramid and prism.

The shape represented by the doghouse would be a pentagonal prism. If Wendell were to slice the doghouse in half with a slice parallel to the pentagonal bases, the shape of the slice would be a pentagon.

Find out more on solid figure at: https://brainly.com/question/8774322

Suzie paid a total of \$324$324dollar sign, 324 for xxx tickets to a rock festival.

How much did each ticket cost?

Write your answer as an expression

Answers

Answer:

324 over x is the answer

Step-by-step explanation:

khan told me.

ik ur searching probs from khan hehe plol

The cost of each ticket as an expression is $324/x

Ratio and proportion

Ratios are written as fractions. For instance a/b can be written as a:b.

If Suzie paid a total of $324 for x ticket to rock a festivel, this is expressed as;

$324 = x ticket

The cost of each ticket is given as;

y = 1 ticket

324/y = x/1

y = 324/x

Hence the cost of each ticket as an expression is $324/x

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What is the surface area of the right cone below?

A. 3047 units-
B. 4967 units?
C. 1841 units-
D. 248 units

Answers

Answer:

184π units²

Step-by-step explanation:

see attached for reference

given sloped height = 15 units

base radius = 8 units

the height of the cone can be found by using the Pythagorean equation

(sloped height)² = height ² + (base radius)²

15² = h² + 8²

h² = 15²-8² = 161

h = √161

Base surface area = πr² = π 8² = 64π units²

Lateral Surface Area,

= πr √(r² + h²)

= π(8) √[  (8)²  + (√161)²  ]

= 8π√(64 + 161)

= 8π√225

= 8π (15)

= 120π

Surface area = base area + lateral surface area

= 64π + 120π

= 184π units²

Answer:

C. 184π units²

Step-by-step explanation:

Surface Area of a cone : πrl + πr² = πr(l + r)

r = radiusl = slant height

Solving

SA = π x 8 (15 + 8)SA = π x 8 x 23SA = 184π units²

What is the mean?
557544

Answers

Answer:

5

Step-by-step explanation:

mean = average

5 + 5 + 7 + 5 + 4 + 4 = 30

30/6 = 5

Andy is building a model train. A train in real life has a wheel diameter of 33 inches, a length of 20 feet, a width of 10 feet, and a height of 12 feet. If his model has a width of 8 inches, what does the height need to be?

A) 0.96 inches
B) 9.6 inches
C) 16 inches
D) 48 inches

Answers

Answer: B) 9.6 inches

Step-by-step explanation:

       We will set up a proportion to solve. I will have the width of the model (in inches) as my numerator, and the height of the model (in inches) as the denominator.

-> To convert feet into inches, we multiply by 12.

       [tex]\displaystyle \frac{120}{144} = \frac{8}{x}[/tex]

       Cross multiply:

120 * x = 144 * 8

120x = 1,152

       Divide both sides of the equation by 120:

x = 9.6

9.6 inches

           The height should be B) 9.6 inches.

which represents the exspession 3 fewer than p

Answers

Answer:

p-3

Step-by-step explanation:

Let me show you how to answer this question correctly.

A variable is P. Letters are represented as numbers by variables.

If you have fewer than that, you must subtract.

Therefore, the expression is p-3, which is our answer.

I hope this helps! Let me know if you have any questions.

Answer:

[tex]p - 3[/tex]

Step-by-step explanation:

Step 1:  Convert to an expression

3 fewer than p

This means that given a variable named p, we have 3 less than that so it can be simply displayed by p - 3.

Answer:  [tex]p - 3[/tex]

y + 6 = 5(x – 4)
Write a formula fpr f(x) in terms of x.

Answers

Answer:

f(x) = 5x - 26

Step-by-step explanation:

y + 6 = 5(x - 4) ← distribute parenthesis by 5

y + 6 = 5x - 20 ( subtract 6 from both sides )

y = 5x - 26

Now y = f(x) , then

f(x) = 5x - 26

Answer:

f(x) = 5x - 26

Step-by-step explanation:

y + 6 = 5(x – 4)

Distribute

y +6 = 5x - 20

Solve for y

y +6-6 = 5x-20+-6

y = 5x - 26

Replace y with f(x)

f(x) = 5x - 26

Koro - Sensei has 8 more students in his class than Ms.Fizzle. They have a total of 32 students together. Calculate the number of students in Koro - Sensei's class

Answers

Answer:

Koro-Sensei's class has 20 kids in it.

Step-by-step explanation:

This is simple.

Ex: 20-12 = 32

ASAP PLEASEHELP ME WILL GIVE 50 POINTS AND MARK BRAINLIEST



A company has released the following possible designs for a new cereal box. The cost of production depends upon the cost of materials, which is determined by how much material is used. The amount of material used is equal to the surface area of the package plus some overlap. The amount of product contained in the package is the volume of the packaging.

Find the surface area and volume of the following possible cereal boxes. Determine the cost of making the cereal box assuming that cardboard costs $0.05 per square inch.​

Answers

Answer his question

What is the area, in square feet, of the rectangle shown below?​

Answers

Answer:

Step-by-step explanation:

A = l x w

l = length

w = width

Formula:

6 4/5 x 4 3/4

First, multiplying the integers:

6 x 4 = 24

Then you multiply the fractions(top x top and bottom times bottom):

4/5 x 3/4 = 12/20

Simplify:

12/20 = 3/5

Giving you 24 3/5

I hope this helps :)

HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

Answer:

1) x=−y-2

2)x=−y+2

Step-by-step explanation:

Let's solve for x.

y=−x−2

Step 1: Flip the equation.

−x−2=y

Step 2: Add 2 to both sides.

−x−2+2=y+2

−x=y+2

Step 3: Divide both sides by -1.

x=−y−2

Let's solve for x.

3x+3y=6

Step 1: Add -3y to both sides.

3x+3y+−3y=6+−3y

3x=−3y+6

Step 2: Divide both sides by 3.

x=−y+2

A philanthropist pledges to donate 18% of a
fund each year. If the fund initially has
$699,000.00, how much will the fund have
after 8 years?

Answers

Answer:

87.375

Step-by-step explanation:

i think it that because you haft to do divison

Quest

answe

Ms. Miller's English class kept track of how many books they read last school year.

Books read

13

41

24

97

67

103 75 120

27

53

39

108 49

111

84

44

20

Time

elapse

Which box plot represents the data?

00 12

HR MIN

Books read

SmartSc

out of 100

63

20

40

60

80

100

120

Books read

20

40

60

80

100

120

Answers

Answer:

cde

Step-by-step explanation:

thx everyone hahahhahaahha

Which expression represents the surface area of the pyramid?

Answers

Answer:

option d

Step-by-step explanation:

36+15+15+15+15

I hope it helped you

how do you do this???

Answers

Answer:

A = 15 units²

Step-by-step explanation:

Count the squares:

AB (height) = 6 units

CB (base) = 5 units

A = bh/2

A = (5)(6)/2

A = 30/2

A = 15 units²

I hope this helps!

Hi I think the answer is 15 units

HII can someone plss help me with this question. I got 192 but i dont know how to turn it into a base with an exponent. ----> b^e

Answers

= 1 × 3 × 4 × 4 × 4

= 1 × 3 × 64

= 3 × 64

= 192

Easy peasy...

Please help I need to pass this class

Answers

Answer:

Shown Below...

Step-by-step explanation:

6) 5.25% will be 5.25/100 = 0.0525
0.0525 x $333.75 = $17.5 (rounded)
$333.75 + $17.5= $351.25

7) 15% will be 15/100 = 0.15
0.15 x $16 = $2.4
$16 + $2.4 = $18.4

8) 20% will be 20/100 = 0.2
0.2 x $2800 = $560
Since it is off the original price, this will be subtraction.
$2800 - $560 = $2240 will be the sales price.
----------
8.25% will be 8.25/100 = 0.0825
0.0825 x $2240 = $184.8
$2240 + $184.8 = $2424.8 will be the total price including tax.


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