A box with a square base and no top is to be made from a square piece of carboard by cutting 3 in. squares from each corner and folding up the sides. The box is to hold 972 in3. How big a piece of cardboard is needed? Your answer is:__ in. by___ in.
show your work

Answers

Answer 1

Answer:

24 in by 24 in

Step-by-step explanation:

Height of the box is 3 in, then

area of base is 972/3 = 324 in.

The side of the box base is [tex]\sqrt{324}[/tex] = 18

The side of the square piece of carboard is 18 + 2 x 3 = 24 in.


Related Questions

Twix bars cost $1.29.each. If you buy 10 bars, how much
change will you receive from $20?

Answers

Answer:

$7.10

Step-by-step explanation:

1 bar = $1.29

10 bars = 10 x $1.29 = $12.90

Change received = $20 - $12.90 = $7.10

Answer:

7.1

Step-by-step explanation:

1 twix bar = $1.29

10 twix bar = $12.9

change = 20 - 12.9

= $7.1


If a ray QT bisects ZRQS , what would be the measure of one of the resulting angles

Measure=?

Answers

Answer:

PQS is a straight line, so:

(3x - 5) + (x + 1) = 180

4x - 4 = 180

4x = 184

x = 46 degrees

Step-by-step explanation:

Determine which box each reason should go in to justify each step taken to solve
the equation. Make the unused reason #4
54+2x=5x-3(2+6x)
Distributive Property
Multiplication Property
Division Property
>
Addition Property
<

Answers

Answer:

Am how should we answer this

-32 > +32? True or false?

Answers

Answer:

False

Step-by-step explanation:

+32 is greater than -32

Answer:

false it is less than

Step-by-step explanation:

-32<+32

Algebra 2 help needed....

Answers

Answer:

Step-by-step explanation:

We actually don't need to know all of the restrictions.

We know that a vertical stretch factor of 4 means multiplying a square root function by [tex]4[/tex]. So, the answer will be in the form [tex]y=4\sqrt{x+c}+k[/tex], where c and k are real numbers.

Aha! Only one of these conditions satisfy the restrictions, so we have that [tex]\boxed{y=4\sqrt{x+3}+7}[/tex] has to be the answer.

A DVD that originally cost $30 is on sale for 10 percent off. Complete the steps to solve the problem
Step 1: Find the amount of the discount.
($30.00)(0.10) =
Step 2: Subtract the discount from the original amount to find the sale price,

Answers

Answer:

3$

Step-by-step explanation:

the discount is 27 so that leaves 3 dollars if

30-27=3 ^^

$3 is the answer. ^^they are correct

NEED HELP FOR REAL 69 points!!!!!!!!!!!!!! ASAP
The physicist from the last problem lets the particle fall another 100 times, and finds that the average travel time is now 16 sec. Remember that when running the simulation many times it took 15 seconds, on average, for the particle to fall to the bottom, with a standard deviation of 1.5 seconds. What does she conclude and why?

Answers

It concludes that newtons laws of motion are at work

71 degrees Determine the value of x.

A) 109 degrees
B) 71 degrees
C) 142 degrees
D) 35.5 degrees ​

Answers

Answer:

A) 109 degrees

The answer is 109 degrees because each opposite angle added equals 180°. 180-71= 109

Good luck on your assignment ⊂(◉‿◉)つ

Today is Saturday. What day of the week will it be in 3724 days?

Answers

Answer:

It is still going to be Saturday

Step-by-step explanation:

Because 3724 can be divided by 7

Since the remainder is 0, it's the same day:

Saturday

Answer:

saturday

Step-by-step explanation:

Two friends go out to eat and order the same meal. They pay a 6% sales tax and a 20% tip on their meals. The total bill, including tax and tip, is $27.72. How much did each meal cost before tax and tip? (Assume that the friends pay a tip on the cost of the meals only.) IF CORRECT I WILL GIVE BRAINLIEST!!

Answers

Sales tax and tip will increase the price of an item.

The cost of each meal is: $10.89

Let the cost of both meals be x.

A 20% tip means that, the current price is:

[tex]Price = x \times (1 + 20\%)[/tex]

A 6% sales tax on the meal means that, the current price is:

[tex]Price = x \times (1 + 20\%) \times (1 + 6\%)[/tex]

So, we have:

[tex]Price = x \times (1 + 0.20) \times (1 + 0.06)[/tex]

[tex]Price = x \times (1.20) \times (1.06)[/tex]

[tex]Price = x \times 1.272[/tex]

The amount paid is $27.72

So, the equation becomes

[tex]27.72= x \times 1.272[/tex]

Make x the subject

[tex]x = \frac{27.72}{1.272}[/tex]

[tex]x = 21.78[/tex]

So, the cost of each meal is:

[tex]Each= \frac{21.78}{2}[/tex]

[tex]Each= 10.89[/tex]

Hence, the cost of each meal is: $10.89

Read more about sales tax at:

https://brainly.com/question/19715580

The scale of the drawing was 5 inches = 4 yards. What is the drawing's scale factor? Simplify your answer and write it as a fraction

Answers

Answer:

138889/144

Step-by-step explanation:

133.5 divided by 5 show work

Answers

Answer:

26.7

Step-by-step explanation:

Use a  c a l c u l a t o r :P

Which expression is equivalent to-5(3x-6/7)?

Answers

Answer:

The answer is -15x+30/7

Step-by-step explanation:

First: -5×3 is -15x

Then: You change the negative sign to a positive sign.

Last: You put 30/7

what is happening in this graph from point b to c?

Answers

Answer:

at o to a the speed increases from a to b the speed is constant the from b to c the speed is decreasing there is a stop from c to d the speed increases at d to e going constant again at e to f

Step-by-step explanation:

What is the value of each digit in 28.6597

Answers

Answer: 200000

               800000

                  6000

                     500

                        90

                           7

Step-by-step explanation:

(1/2 + 1/3) - (1/2 - 1/3) =

Answers

Answer:

.66

Step-by-step explanation:

1/2 + 1/3 - 1/2 - 1/3 = .66

The Students on each team who drew the greatest number will be the captain of that team. Place the players of the Tigers team in order from Least to Greatest.

Who was the captain of the Tiger Team?

Answers

Chan,Caleb ,Lydia, Ryan , Anya , Macy

-
Find the zeros of the following function f (x) = 2x^2 – x – 10

Answers

Step-by-step explanation:

the formula to find the x values to deliver y=0 results of a squared equation is

x = (-b ± sqrt(b² - 4ac))/(2a)

a, b, c are the constant factors in the 3 terms of a squared equation.

here in our example of 2x² - x - 10

a = 2

b = -1

c = -10

x = (1 ± sqrt(1² - 4×2×-10))/(2×2) =

= (1 ± sqrt(1 + 80))/4 = (1 ± sqrt(81))/4 =

= (1 ± 9)/4

x1 = (1 + 9)/4 = 10/4 = 2 2/4 = 2 1/2 = 2.5

x2 = (1 - 9)/4 = -8/4 = -2

First four terms
f(n)=n^3-n^2+1

Answers

Answer:

The function of this equation is: [tex]F(n)=\frac{1}{4}n^4-\frac{1}{3}n^3+n+C[/tex]

Step-by-step explanation:

Answer:

1, 5, 19, 49

Step-by-step explanation:

To obtain the first 4 terms substitute n = 1, 2, 3, 4 into f(n)

f(1) = 1³ - 1² + 1 = 1 - 1 + 1 = 1

f(2) = 2³ - 2² + 1 = 8 - 4 + 1 = 4 + 1 = 5

f(3) = 3³ - 3² + 1 = 27 - 9 + 1 = 18 + 1 = 19

f(4) = 4³ - 4² + 1 = 64 - 16 + 1 = 48 + 1 = 49

The first 4 terms are 1, 5, 19, 49

Someone tell me if I’m right

Answers

Answer:

Yes you are correct

Step-by-step explanation:


Grace rides the bus to her grandmother's house each day. A one way trip is 8.12 miles. How many miles does
she travel after 5 days help on 1 and 2 please extra points

Answers

40.6 miles and $9.77

Step-by-step explanation:

[Number 1]

8.12 × 5

= 40.6 miles

[Number 2]

2.79 × 3 ½

= 2.79 × 3.5

= 9.765

≈ $ 9.77

Help me asap I’ma give u brainlest if u do

Answers

Answer:

The answer is b..

Step-by-step explanation:

hope its helpful

3 In which of these pairs of numbers would both numbers round to 6.23 ? F 6.232 and 6.236 G 6.231 and 6.233 H 6.229 and 6.239 J 6.222 and 6.238 GO ​

Answers

9514 1404 393

Answer:

  G 6.231 and 6.233

Step-by-step explanation:

F 6.232 and 6.236 rounds to 6.23, 6.24

G 6.231 and 6.233 rounds to 6.23, 6.23

H 6.229 and 6.239 rounds to 6.23, 6.24

J 6.222 and 6.238 rounds to 6.22, 6.24

_____

One way to determine the rounded value is to add 0.005 to the number, then drop all digits to the right of the hundredths place.

Examples:

  6.222 +0.005 = 6.227 ⇒ 6.22

  6.238 +0.005 = 6.243 ⇒ 6.24

The function f is defined by the following rule.
f(x) = 3x-1
Complete the function table.

Answers

Answer:

hope it helps

...

.........

How do you break apart 32.14

Answers

Answer:

answer is below

Step-by-step explanation:

so 32.14 is breakable. first break it up by the tens place you have 3 tens.

next the ones place you have 2 ones

then the tenths place you have 1 tenth

then the hundredth place you have 4 hundreths

so the 3 tens is equal to 30

the 2 ones is equal to 2

the 1 tenth is equal to 0.1

the 4 hundredth is equal to 0.04  

this is easier to understand and is a good way to think about more complext numbers

find the value of a cube + b cube when a+b = 5 and ab = 3

Answers

As we know :

[tex] \boxed{ \boxed{ {(a + b)}^{3} = {a}^{3} + {b}^{3} + 3ab(a + b) }}[/tex]

now let's plug the value of given terms :

(5)³ = a³ + b³ + (3×3)(5)

125 = a³ + b³ + 45

a³ + b³ = 125 - 45

a³ + b³ = 80

Answer:

babawi lang sana

Step-by-step explanation:

naul pi

Your turn: Type in two addition expressions, both of which have an output value of -100.
1) Use two negative numbers.
2) Use one positive number and one negative number.

Answers

Answer:

-50 + -50

only negative...sorry.

Solve for x: -7 < X - 1 < 8

Answers

Answer:

4th option

Step-by-step explanation:

-7 < X - 1 < 8

Add +1 on all side

-7+1<x-1+1<8+1

-6<x<9

Answer:

D

Step-by-step explanation:

-7<x-1 and - 1<8

-7<x-1 : x>-6

x-1<8 : x<9

combine x>-6 and x<9

= -6 < x < 9

vivien needs to proofread a 500 page novel she plans to do 30 page on the first day and increase the number by 5 each dag how many days will it take her to complete the proof reading?​

Answers

Answer:

Step-by-step explanation:

in the problem it says she plans to do thirty pages so lets let 30 be our y value so ?x +30 and she plans to increase by 5 each day key word is each which means multiply so let 5 be our x value which will give you the equation 500=5x+30 so step by step here we go

                                                500=5x+30

1. 500=5x+30

500 −30= 5

Answer:

I think about 9 days

Step-by-step explanation:

first day is 30 next is 35, 40,45,50,55,60,65,70,75

i dont is this what u wanted but its done and it is

by the 9ths day you would have 525

i dont know what i did

Write and inequality to compare the fractions. 24/18 and 25/15

Answers

Answer:

25/15 > 24/18

Step-by-step explanation: Both of these fractions can be reduced so that the denominator is 3. This will make it much easier to compare the two fractions. For 24/18, if you divide both the numerator and the denominator by 6, then the fraction simplifies to 4/3. For 25/15, if you divide the numerator and denominator by 5, then the fraction simplifies to 5/3. Since these fractions have a common denominator, the fraction with the larger numerator is going to be the larger fraction. So, 25/15 is greater than 24/18.

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