!! IMPORTANT !! WILL GIVE BRAINLIEST !!

Lorene plans to make several open-topped boxes in which to carry plants. She makes the boxes from rectangular sheets of cardboard from which she cuts out 10-in squares from each corner. The length of the original piece of cardboard is 20 inches more than the width. If the volume of the box is 1250 in^3, determine the dimensions of the original piece of cardboard.
(figure of the problem is shown in attached picture)
The dimensions of the original piece of cardboard are _ inches by _ inches.

!! PLEASE HELP !! THANKS !!​

!! IMPORTANT !! WILL GIVE BRAINLIEST !!Lorene Plans To Make Several Open-topped Boxes In Which To Carry

Answers

Answer 1

Answer:

25 in by 45 in.

Step-by-step explanation:

The length of the box will be x + 20 - 10 - 10 = x

The width of the box will be x - 10 - 10 = x - 20

The height of the box will be 10

So the volume = length x width x height

                        = x(x - 20)10 = 1250

                        =   [tex]10x^{2} - 200x = 1250[/tex]

                         [tex]10x^{2} -200x - 1250 = 0[/tex]

                           [tex]10(x^{2} -20x - 125)\\[/tex] = 0

                          10(x + 5)(x - 25) =0

                                 x = -5      x = 25

- 5 must be discarded since a length cannot be negative.  

Therefore x = 25 in = width of piece of cardboard

            x + 20 = 25 + 20 = 45 in = length of piece of cardboard


Related Questions

What is the temperature shown?

Answers

Answer:

-3

....................

Answer:

-3

Step-by-step explanation:

I will mark you as brainliest if you get the question right

Answers

Answer:

103

Step-by-step explanation:

x = 180-77 = 103

because it's a straight line, so 180 - 77 to find x

(a) At Smith's Bike Rentals, it costs $18 to rent a bike for 4 hours.
How many dollars does it cost per hour of bike use?

Answers

$4.50 you just do 18/4 to get ur answer per hour

Answer:My answer is $4.50 a hr. If u add 4.50 up 4 times, you will get 18. If u multiply 4.50 ×4 it will equal 18.

Step-by-step explanation:

What is the volume of the cone shown below?

Answers

Answer:

A. [tex] 96\pi \: cu. \: units[/tex]

Step-by-step explanation:

Radius of cone (r) = 4 units

Height of cone (h) = 18 units

[tex]V_{cone} = \frac{1}{3} \pi {r}^{2}h \\ \\ = \frac{1}{3} \pi {(4)}^{2} \times 18 \\ \\ = \pi {(4)}^{2} \times 6 \\ \\ = 16\pi \times 6 \\ \\ V_{cone} = 96\pi \: {units}^{3} [/tex]

Linda can drive 180 miles in 3 hours. On Tuesday, she drove for 7 hours at that rate. How many miles did she drive on Tuesday?

Answers

180/3= 60 mph
60 x 7= 420
420 miles drive on tuesday

have a good day:)

Answer: 420

Step-by-step explanation:

I took the test and got it right lol

Given the equation of a line: y = 3x - 7. Select the equation of the line PERPENDICULAR to this line

Options:
y = (1/3)x + 1/7
y = -3x + 7
y = (-1/3)x - 7
y = 3x + 2

Answers

Answer:

The third option, y=(-1/3)x-7

Step-by-step explanation:

To find a line perpendicular to an equation, you find the negative reciprocal of the slope. For instance, if you have an equation y=4x+5, the negative reciprocal is y=(-1/4)x+5. That is the equation to find a line perpendicular to this.

If you want to find a line parallel to the equation y=4x+5, all you have to do is come up with another equation that has the same slope. So, y=4x+8 would be a line parallel to the equation y=4x+5.

Four times the sum of a number n plus 2 equals 3 times the sum of the number plus 5. What is n?

Equation:

n=

Answers

Answer:

nweoksowjxu928idvdiwd9w

4 (n + 2) = 3 (n + 5)
4n + 8 = 3n + 15
4n = 3n + 7
n = 7
Let’s check your answer...
4 (7+2) = 3 (7+5)
4x9 = 3x12
36 = 36
We have a winner!

7/3 into a mix number

Answers

Answer: 2 1/3

Step-by-step explanation:

Answer and Step-by-step explanation:

To turn [tex]\frac{7}{3}[/tex] into a mixed number, we see how many times 3 goes into 7.

3 goes into 7 two times, so we put a  two on the outside.

[tex]2\frac{1}{3}[/tex]

^ This is your answer, cause when you do 3 times 2, plus the numerator (1), you get 7.

#teamtrees #WAP (Water And Plant)

What is the answer to this?

Answers

Answer:

17

Step-by-step explanation:

85/5=17

17, the 5 goes into 8, 1 time so that leaves 3 then bring down the 5 to make it 35, 5 goes into 35 7 times

Find the Shaded Area Please​

Answers

Answer

78.5

Step-by-step explanation:

Area of a circle: A= π x r x r

Please help




!!!!


Please helpppp

Answers

Answer:

it is a because the angle is 34 more degrees then it is spouse to

Step-by-step explanation:

i just know plz give heart and rate 5 and plz give brainlest

The answer should be A .

Salem Middle School uses 800 pounds of flour each month
making cookies for school lunches. If they buy their flour in
50 pound sacks, how many sacks must they buy each month?
O A. 13
O B. 16
O C. 30
O D. 50


really confused.

Answers

B.16 because 800 divided by 50 is 16

The average diameter of a tree is measured over time. The equation y=3/5x, where x is the time in years and y is the diameter in inches, models the relationship. What is the predicted diameter, in inches, of the three after 12 years?

Answers

Your answer is b so there you go have a great day!!!!

Find (x + 4)(x2 + x - 2). Write your answer in standard form.
Answer please

Answers

Answer:

X^3 + 5x^2 + 2x - 8

Step-by-step explanation:

(SAT Prep) Find the value of x.

Answers

Answer:

x = 155

Step-by-step explanation:

First find the missing angle in the smaller triangle.

We know that the sum of the angles in a triangle is 180 so 35 + 90 + the missing angle = 180 so 180 - (35+90) = 180 - 125 = 55

Since the line above is a straight line, the sum of the angles must equal 180 so 55 + 60 + ? = 180. So 180 - 115 = 65.

The triangle is a right triangle so that means on of the angles is 90. So 65 + 90 = 155, so we have 180 - 155 = 25.

The angle that x is on is also a straight line so that means the angles must add up to 180 so 180 - 25 = 155.

Recall that triangles add to 180 degrees.
In the left triangle, the angles are 35 + 90 + angle = 180. The third angle of the left triangle is 55 degrees.

Now recall that angles drawn from a straight line all add up to 180 degrees
So 55 + 60 + third angle = 180. Thus, the third angle is 65 degrees.

Within the middle triangle, we now have 2/3 of the angles. 90 + 65 + third angle = 180. Thus, the third angle is 25 degrees.

25 degrees is right next to angle X. As we have already stated, they add up to 180 when adjacent.

So 180-25 = 155 degrees, the value of angle X.

Drag steps into order to correctly solve the equation x−27=62 for x.

Answers

Answer:

x - 27 + 27 = 62 + 27

x - 0 = 89

(annex rule)

x = 89

Step-by-step explanation:

please mark brainlist

Start with the middle box on top row (adding 27 to both sides), then top-left box (x=89)

help pls!!!!!!!!!!!!!!!!

Answers

Answer:

b 3.13

Step-by-step explanation:

did this beofer

Answer:

B = 3.13

Step-by-step explanation:

The graph below shows it's peak/highest which takes about 1.5 seconds. Then it take about 3.13 seconds to hit the ground.

Therefore your answer is B - 3.13

Jerome went to the store and bought 2 cartons of eggs for $1.30 each and 1 box of pancake mix. His total bill was $6.10. Which equation can be used to correctly find the cost, x, of the box of pancake mix?

Answers

1.30(2) + X = 6.10
This would be one of a few equations to do. 1.30(2) represents the cartons of eggs which are each 1.30. the X will represent the price of pancake mix and the total is 6.10.
6.10-2(1.30) can be used the correctly find the cost, x, of the box of pancake mix.

please help me ASAP thank you

Answers

Answer:

Step-by-step explanation:

Your uncle is 2 years older than 3 times your age.

You are x years old. Write an expression to describe your uncles age.

It would be a lot helpful if you could answer this! :D

Answers

you are x

three times is 3x

2 years older is 3x + 2

Answer:

3x+2

Step-by-step explanation:

3 times x plus 2 since he's 2 years older than that

Define Love in 10 words. Don't me with this question rn XD

Answers

Answer:

uh...love is when you feel a certain way around someone

Step-by-step explanation:

Dave has $70 saved and earns $20
each month in allowance. Terri has
$110 saved and earns $16 a month
in allowance. If they both save their
entire allowances, how long will it
take before Dave and Terri have saved
the same amount of money?

Answers

Answer:

10 months

Step-by-step explanation:

Please let me know if you want me to write an explanation for my answer :)

Will mark Brainlyist help me fill out the chart

Answers

Answer:

The working is done in the image attached.

Is the point (1,5)a solution to the equation y=2x+3?​

Answers

Step-by-step explanation:

✰ [tex] \underline{ \underline{ \large{ \tt{ G \: I \: V \: E \: N \: \: P \: O \: I \: N \: T}}}} : [/tex]

( 1 , 5 )

✰ [tex] \underline{ \underline{ \large{ \tt{G \: I \: V\: E \: N \: \: E \: Q \: U \: A \: T \: I \: O \: N}}}} : [/tex]

y = 2x + 3

✰ [tex] \underline{ \underline{ \large{ \tt{T \: O \: \: F\:I \: N \: D}}} }: [/tex]

Whether the point ( 1 , 5 ) , a solution to the equation y = 2x + 3 or not.

[tex] \underline{ \underline{ \large{ \tt{S \: O \: L\: U \: T \: I \: O \: N}}}} : [/tex]

Assuming the the value of x and y as 1 and 5 respectively. Now , plug the values of x and y in the given equation & let's see whether the point ( 1 ,5 ) , solution to the equation y = 2x + 3 or not !

⟶ [tex] \large{ \tt{5 = 2 \times 1 + 3}}[/tex]

⟶ [tex] \large{ \tt{5 = 2 + 3}}[/tex]

⟶ [tex] \large{ \tt{5 = 5}}[/tex]

Since we got 5 on R.H.S & L.H.S, So yeah! The point ( 1 , 5 ) is a solution to the equation y = 2x + 3.

Hope I helped ! ♡

Have a wonderful day / night ! ツ

# [tex] \underbrace{ \tt{Carry \: On \: Learning}}[/tex] !! ✎

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

I WILL GIVE BRAINLIST PLEASE HELP

Is the set of rational expressions closed under ​subtraction​? Explain p(x) - r(x) = ______________
q(x) s(x)
2. Is the set of rational expressions closed under ​multiplication​? Explain ( p(x) ) ( r(x) ) = _______________
q(x) s(x)
3. Is the set of rational expressions closed under ​division​? Explain
p(x) ÷ r(x) = ________________ q(x) s(x)

Answers

Answer:

so where is the equation

The function h is defined by h(x)=x^2 +2.
Find h(3y).

Answers

The function h is defined by h(x)=x^2 +2.
Find h(3y).
The answer is 2+9 _

Find an equation of the line with the slope m=−1/8 that passes through the point ​(−5​,0​). Write the equation in the form Ax+By=C.

Answers

Answer:

x+8y= -5

Step-by-step explanation:

1) the required equation of the line has an slope-interception form:

y=mx+i, where m - slope, i - interception.

2) if the given point belongs to the required line, then it is possible to substitute its coordinates into the equation, then:

0=m*(-5)+i; ⇔-5m+i=0;

3) if the slope m= -1/8, then

-5*(-1/8)+i=0, ⇒5/8+i=0; ⇒ i= -5/8.

4) finally, the required equation is (m= -1/8; i= -5/8):

y= (-1/8)*x-5/8; ⇔ x+8y= -5.

note: the suggested solution is not the only way.

A. 6.2 cm2

B. 12.4 cm2

C. 3.1 cm2

D. 9.4 cm2


please answer!! will give brainliest!

Answers

Answer:

The answer is "Option A".

Step-by-step explanation:

[tex]\to Base= 2 \ cm\\\\\to height=3.1 \ cm\\\\[/tex]  

Formula:

[tex]\bold{Area= base \times height}\\\\[/tex]

         [tex]=2 \times 3.1 \\\\= 6.2 \ cm^2[/tex]

if the height value is 3 then area is =6

Which statement below is represented by the correct ratio? Choose all that apply.
"For every 4 boys in Mr. Washington's class, there are 3 girls." The ratio of boys to girls is 3:4.
"For every 10 minutes of reading, I can finish 15 pages of my book." The ratio of minutes reading to finished pages is 2.3.
"For every 50 shoppers at the grocery store, 25 watermelons are sold." The ratio of shoppers to watermelons sold is 1:2.
For every 7 tomato plants planted, 36 tomatoes will grow. The ratio of plants to tomatoes is 7:36.

Answers

Answer:

Step-by-step explanation:

Its basic all you do is multiply 4 x 3 and you get 12 ywwww!!!!!!!!!

y = 4x - 11
4x - y = 11
Systems of equations by substitution

Answers

Answer:

............................

Answer:

No Solution

Step-by-step explanation:

Substitute y = 4x - 11 in 4x - y = 11

4x - y = 11

4x - 4x - 11 = 11

-11 = 11

There is no solution because -11 does not equal 11.

Other Questions
10.Describe the graph of the equation x = 7. Is the equation a function?horizontal line; nohorizontal line; yesvertical line; yesvertical line; no Anyone know how to do this? Explain why the radiative zone of the sun is hotter than the corona of the sun Please help pleasseee Can someone please help me i am confused (b)In how many months will Rs 4800 amount to Rs 5760 at 2 paisa per rupee permonth? What is another term for the buying and selling of stocks?A.) Entrepreneurial ability.B.) Trading.C.) Shares.D.) Lack of scarcity. How did Germany pull itself out of the GreatDepression and make itself prosperous onceagain? (GIVING BRAINLIEST!!) Due to altitude, you might find snow here during the summer months.A) By a lakeB) In the forestC) In the oceanD) On a mountain EASY 57 POINTS!!!Give me reasons why the story "Romeo and Juliet" is unrealistic i dont understand this please help!!! In 1880 five aboriginal trackers were each promised the equivalent of 100 Australian dollars for helping to capture the notorious outlaw Ned Kelley. In 2002 the granddaughters of two of the trackers claimed that this reward had not been paid. The Victorian prime minister stated that if this was true, the government would be happy to pay the $100. However, the granddaughters also claimed that they were entitled to compound interest.Required:a. How much was each granddaughter entitled to if the interest rate was 4%? b. How much was each entitled to if the interest rate was 8%? In prokaryotes, certain proteins act to regulate genes by binding to DNA. What could be the effect of these binding proteins? Ummm HELPSSSThanks and Im very welcomed:) Read this excerpt from Chapter 8 of Lord of the Flies.Simons head was tilted slightly up. His eyes could not break away and the Lord of the Flies hung in space before him."What are you doing out here all alone? Arent you afraid of me?"Simon shook."There isnt anyone to help you. Only me. And Im the Beast."Simons mouth labored, brought forth audible words."Pigs head on a stick."What does author William Golding allude to by naming the pig's head the Lord of the Flies? He references the devil as he appears in the Bible's Old Testament.He references song lyrics in which a fly is trapped in a jar.He references a children's story in which a fly forgets its name.He references a short story in which a man awakens to find he has been transformed into a fly. Difference between a port and a connector 9. Henry joined an art class that charges$125 for the cost of supplies, plus $25per class. Henry wants to spend no morethan $500 on art classes. Whichinequality can be solved to find thenumber of classes Henry can take?A 25x + 125 < 500B 125x - 25 > 500C 25x 2 625D 125x + 25 S 500 Find 2 ways that natural gas forms. List the steps of the two carbon pathways below. Label each location with A for atmosphere, B for the biosphere, G for geosphere, or H for hydrosphere. Use P for the anthroposphere. Em cada caixote cabem 30 dzias de laranjas. Um caminho est carregado com 80 caixotes de laranjas. Quantas laranjas, no total o caminho est carregando? the question is on the picture