A box shaped like a rectangular prism has a height of 17 in and a volume of 2.720 in^3. The length is 4 inches greater than twice the width. What is the width of the box?

O -10 in
O 8 in
O 20 in
O 40 in

Answers

Answer 1

Answer:

8

Step-by-step explanation:

Height, h = 17

Let :

Width = x

Length = 2x + 4

Volume = 2720 in³

Volume of rectangular prism = Length * width * height

2720 = 17 * x * (2x + 4)

2720 = 34x² + 68x

34x² + 68x - 2720 = 0

x² + 2x - 80 = 0

x² + 10x - 8x - 80 = 0

x(x + 10) - 8(x + 10)

(x + 10) = 0 or (x - 8) = 0

X = - 10 or x = 8

Width can't be negative

Hence, width, x = 8


Related Questions

The perimeter of a square is 12x - 8. Which of the following is the length of
one side of the square?

Answers

Answer:

3x-2

Step-by-step explanation:

12x-8/4 = 3x-2 is one side length of a square

Please help, I will give brainliest to whoever helps!

Answers

Answer:

H

Step-by-step explanation:

I'm legit smart bro quit playing

Answer:

C

Step-by-step explanation:

x - 1 = 0

x = 1

2x + 5 = 0

2x = - 5

x = - 5/2

Option C is the correct answer

In how many ways can you make exactly $0.75 using only nickels, dimes, and quarters, if you must have at least one of each
coin?

Answers

Answer:

2 quarters, one nickel and two dimes

Step-by-step explanation:

2 quarters = 25 cents + 25 cents = 50 cents

Nickel is 5 cents

Two dimes is 10+10 = 20

50+20+5=75

PLZ HELP!! brainliest and 40pnts
PT 1

Find the volume of a cone that has a radius of 1/2 and a height of 1.

a) 3/2 pi b) 3/4 pi c) 1/12 pi D) 1/6 pi


PT 2

Find the volume of a cylinder that has a radius of 1/2 and a height of 1.

a) 1/2 pi b) 1/4 pi c) 3/2 pi d) 4 pi

Answers

Answer:

PT 1: C

PT 2: B

Step-by-step explanation:

In order to find the volume of a cone use equation

[tex]V=\pi r^2\frac{h}{3}[/tex]

To find the volume of a cylinder use equation

[tex]V=\pi r^2h[/tex]

Due tonight.. *no links*

Answers

Answer:

Step-by-step explanation:

Sum of interior angles of a polygon formula:

[tex]180 (n - 2)[/tex]

n represents the n-sided polygon

[tex]180 (20 - 2) = 3,240[/tex]

In a cookie jar, ¼ of the cookies are chocolate chip, and ½ of the rest are peanut butter. What fraction of all the cookies is peanut butter?

Answers

1/8 of the cookies are peanut butter

imagine you divide the jar into 4 parts and one of those parts is filled with chocolate chip. then, you divide all those four parts in half and end up with eight parts. one of those parts is filled with peanut butter cookies.

Select all the correlation coefficients that represent a linear model with a weak correlation .
A. -0.982
B. -0.618
C. -0.103
D. 0.204
E. 0.907
F. 1

Answers

Answer:

C) -0.103 and D) 0.204

Step-by-step explanation:

A linear model with a weak correlation is gonna have an r value closest to 0, whether it be negative or positive. C and D seem to be the best choice as they're closest to 0.

Ike's igloo sold 501 ice cream cones today.They sold half as many chocolate ice cream cone as vanilla ones. How many of each were sold?

Answers

Answer:

Chocolate cones = x = 167 cones

Vanilla cones = y = 334 cones

Step-by-step explanation:

Let

The number of Chocolate cones = x

Vanilla cones = y

Ike's igloo sold 501 ice cream cones today.

x + y = 501.... Equation 1

They sold half as many chocolate ice cream cone as vanilla ones.

x = 1/2y

x = y/2

Cross multiply

y = 2x

We substitute 2x for y in Equation 1

x + 2x = 501

3x = 501

x = 501/3

x = 167

Solving for y

y = 2x

y = 2 × 167

y = 334

Therefore,

The number of

Chocolate cones = x = 167 cones

Vanilla cones = y = 334 cones

Place the following numbers in order from least to greatest.

Answers

I feel like it is 53241 but I might be wrong -,- square root of 19 is 4. Something ) and square root of 37 is (6. Something)

given 2x - 9y - 12 = 0, express 5x - 4y + 7 = 0 in terms of x only

Answers

Answer:

[tex]4 \frac{1}{9}x[/tex] + [tex]12\frac{1}{3}[/tex] = 0

Step-by-step explanation:

Based on 2x - 9y - 12 = 0

-9y = 12 - 2x

9y = -12 + 2x

y = [tex]-1\frac{1}{3} + \frac{2}{9} x[/tex]

Therefore...

5x - 4y + 7 = 0

5x - 4([tex]-1\frac{1}{3} + \frac{2}{9} x[/tex]) + 7 = 0

5x + [tex]5\frac{1}{3}[/tex]  - [tex]\frac{8}{9} x[/tex] + 7 = 0

[tex]4 \frac{1}{9}x[/tex] + [tex]12\frac{1}{3}[/tex] = 0

Question 9 (1 point)
Find the volume of the composite shape below.
5ft - 2 ft
Leave in terms of pi. Round to the nearest whole number!
Volume=
Tft?
Blank 1:
Question 101

Answers

30.66pi ft³

First, we need to find the volume of the cylinder using the following equation

[tex]V = r^2h\pi \\V = (2^2)5\pi \\V = (4)5\pi \\V = 20\pi[/tex]

The volume of the cylinder is 20pi

Next, we need to find the volume of a sphere. Since the cylinder is divided in half by the cylinder, we can use the following equation as if it were whole

[tex]V = \frac{4}{3} r^3\pi \\V = \frac{4}{3} 2^3\pi \\V = \frac{4}{3} 8\pi \\V = 10\frac{2}{3} \pi[/tex]

The volume of both half spheres is 10.66pi

Now we can add both together to get 30.66pi ft³

Johnny bought 10 cupcakes for 12 dollars, how much would 15 cost?

Answers

Answer:

18

Step-by-step explanation

10=12

must mean 5=6

12+6=18

15=18

18 dollars

he also has diabetes and drinks diet coke

someone help me please!!

Answers

Answer:

346

Step-by-step explanation:

(40*22)-(34*16)

=880-544

=346

Answer:336

Step-by-step explanation:

22x40=880 total sq ft

16x34=544 inner sq ft

880-544=336

Please help ASAP

I will give brainleist and 100 extra points

Answers

Answer:

Possibly C, but im sorry if im wrong

Step-by-step explanation:

A 16-cup container of laundry detergent costs $13.60. What is the price per quart?

Answers

Answer:

$0.21

Step-by-step explanation:

So, first let's find the cost of a single cup.

16/13.60 = 1/0.85

Now, we know that each cup is approximately $0.85. Next, we must convert cups into quarts. 1 cup = 0.25 quarts.

1/0.85 = 0.25/0.21

A zoo keeper used 15 bags of acacia leaves to feed the giraffes and 8 bags of eucalyptus leaves to feed the koalas. Write a ratio that compares the number of bags of acacia leaves to the number of bags of eucalyptus leaves.

Answers

Answer: 15:8

Step-by-step explanation:

Acacia leaves= 15 bags

Eucalyptus leaves=8 bags

A ratio compares two amounts and uses a :

We are comparing acacia leaves bags to eucalyptus leaves bags

So-

15:8

We cannot simplify any more, so keep 15:8.

Rual saved $80 for his new bike. This represents 40% of the entire cost of the bike. what is the total cost of Raul's new bike?

Answers

Answer:

The total cost of Raul's 32%

Daniella flipped a coin and spun a spinner that is divided into four equal-size sectors colored red, yellow, green, and orange. Write the sample space of all the possible outcomes.

Answers

here are 8 different possible outcomes in the sample space. There are 2 outcomes for the coins, heads and tails. And 4 colors for the spinner.

If you put them together, you have:

H - R

H - G

H - Y

H - O

T - T

T - G

T - Y

T - O

If the simple interest on ​$1,000 for 8 years is ​$​ 480 then what is the interest​ rate?

Answers

Answer:

6%

Step-by-step explanation:

Given data

Principal = ​$1,000

Time= 8 years

Simple interest= ​​$480

The expression for the simple interest is

Simple interest= PRT/100

Substitute

480= 1000*R*8/100

Cross multiply

480= 8000R/100

480*100= 8000R

48000= 8000R

Divide both sides by 8000

R= 48000/8000

R=6%

3. If the circumference of a circle is 44 m, find its area.
[tex]\pi[/tex]

Answers

Answer:

[tex] \huge\blue{ \mid{ \underline{ \overline{ \tt ♡ ANSWER : ♡ }} \mid}}[/tex]

Circumference of the circle = 44 m

Circumference Formula = 2πr

Let's take the radius as 'r' m.

Radius (r) =

[tex]2πr = 44 \\ 2 × 3.14 × r = 44 \\ r = 44/6.28 \\ r = 7 \: m.[/tex]

Area of the circle = πr²

[tex] = 3.14 × 7² \\ = 153.86 \: m ^{2} [/tex]

=> Area of the circle = 153.86 m² = 154 m² (approx.)

What is the value of 4.2(46-65). A.798 b.-79.8 C.79.8 D.798. I just need the answer you don’t have to work it out

Answers

Answer:

b. -79.8.

Step-by-step explanation:

We calculate what's in the brackets first:

46 - 65

= -19

Now multiply by 4.2:

-19 * 4.2

= -79.8.

WHAT IS THE ANSWER TO THIS AND WHY THANK YOU!


[tex](−1+√5) \div 2[/tex]

Answers

Answer:

get the app on your phone and scan it it should give u the correct answer

A wind turbine has three equally spaced blades that are each 131 feet long. What is the measure of the arc between any two blades?

Answers

Answer:

274.23 feet

Step-by-step explanation:

From the question,

The measure of the arc between any two blades (s) = 2πrΦ/360

s =  2πrΦ/360................... Equation 1

Where Ф = angle formed betwen two blades, r = length of each blade.

Given: Ф = 360/3 (the three blades are equally spaced) = 120°, r = 131 feet.

Constant: π = 3.14

Substitute these values into equation 1

s = (2×3.14×131×120)/360

s = 274.23 feet.

Hence, the measure of the arc between any two blades is given = 274.23 feet

Which graph represents the inequality
X > 15?

Answers

this one because x has to be bigger than 15.

The graph with inequality x>15 is (B)

What is inequality?

A statement of an order relationshipgreater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.

Given:

x>15

As, x is greater than 15.

So, the graph with x value labelled from the numbers greater than 15 which is represented by graph on right top corner.

Learn more about inequality here:

https://brainly.com/question/20383699

#SPJ2

The volume of a rectangular prism is 473.2 cubic millimeters. If the length is 7 millimeters and the width is 10.4 millimeters, what is the height of the rectangular prism?

Answers

Answer:

c

Step-by-step explanation:

it is

In which number is the digit 2 one hundred times larger than it is in the number 524

Answers

Answer: 2,504?

Step-by-step explanation: baccically times the 2 only by 100, or at least that’s what I am seeing. LOL

Any number which has digit 2 at its thousandth place will have  the digit 2 one hundred times larger than it is in the number 524

What is place value?

Place value is the value of each digit in a number.

For example, the 5 in 350 represents 5 tens, or 50; however, the 5 in 5,006 represents 5 thousands, or 5,000.

It is important that while a digit can be the same, its value depends on where it is in the number.

Given that, we need to determine that which number is the digit 2 one hundred times larger than it is in the number 524,

So, if we consider a number having 2 at its thousandths place,

For example : 32000, the place value of 2 is 2000,

In the number 524, the place value of 2 is 20,

Now, 2000/20 = 100

So, here we see that, the digit 2 in 32000 is 100 times larger than the digit 2 in 524

Hence, any number which has digit 2 at its thousandth place will have  the digit 2 one hundred times larger than it is in the number 524

Learn more about place values, click;

https://brainly.com/question/27734142

#SPJ2

i'll give you a brainliest for the correct answer lyy

Answers

Answer:

(-4,-5)

Step-by-step explanation:

[tex]x+4y=-24\\ x=-24-4y[/tex]

[tex]x=-24-4y\\ 4(-24-4y)-2y=-6\\ -96-16y-2=-6\\ 96+16+2=6\\ 18y=6-96\\ 18y=-90\\ y=\frac{-90}{18} \\ y=-5[/tex]

[tex]x=-24-4(-5)\\ =-24+20\\ =-4[/tex]

can someone check my answer and make sure it is correct??

Answers

Answer:

I worked it out and got 19339.64 but there is a high chance I could be wrong so maybe your right.

On expression that is equal to 5.1 - 5.9

Answers

Answer:

5.1 - 5.9= 0.8 SO reverse it and do 5.9 - 5.1 and still get 0.8

Hope this helps ヾ(•ω•`)o - Six

A garden at the local library is in the shape of a right triangle the dimensions of the garden are shown in the diagram. What is the area in the square feet Area of triangle = 1/2 bh

Answers

37.5 square feet

Area=1/2 b*h=1/2 * 7.5 * 10= 1/2 * 75 = 37.5
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