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

Answer:

9(9 + x) = -25

x = 6.22222 repeating

Step-by-step explanation:

First, we have to distribute. 9 times 9 = 81 and 9 times x = 9x. The equation now becomes 81 + 9x = -25.

Second, we have to get the coefficient alone. Since the opposite of positive 81 is negative 81, we subtract it to get 0. Since we did that to one side we have to do it to the other. -25 - (-81) = 56. Now we have 9x = 56.

Third, we have to get the variable by itself. To do that we divide 9 by 9 to get 0 and that gets the variable alone. Since we did that to one side we have to do it to the other. 56 divided by 9 = 6.222 with the 2 repeating over 8 times.

Answer:

100+130=3000

Step-by-step explanation:

Answer:

Step-by-step explanation:

A x + y = 5  1 + -4 = -3  Nope

B.X + y = 5  1 + -4 = -3  Nope  same as A unless X is somehow not equal to x,

C. xy = 5      1(-4) = -4    Nope and does not even qualify as a line.

D. x - y = .5​  1 - (-4) = 5 Nope unless you have a typo adding an unwanted decimal point

Answer: the answer is 21/32 and it is equivalent to 0.65625.

Step-by-step explanation:

Answer:

y = -1/6x + 2

Step-by-step explanation:

Slope: (-6,3) and (6,1) = (1-3) / (6 - - 6)

= - 2/12 = -1/6

b = 3 - (-1/6)(-6)

b = 3 - 1

b = 2

Answer:0

Step-by-step explanation:

The sum of a convergent geometric series can be calculated with the formula a ⁄ 1 – r, where “a” is the first term in the series and “r” is the number getting raised to a power. A geometric series converges if the r-value (i.e. the number getting raised to a power) is between -1 and 1. So the answer is 0

The complete similarity transformation is: triangle abc was dilated by a scale factor of [2], reflected across the [x-axis], and moved through the translation [0].​

From the figure, we have:

AB = 2 units

DE = 4 units

So, the scale factor (k) is:

k = DE/AB

k = 4/2

k = 2

So, the scale factor is 2

Also, both shapes are on either sides of the x-axis, and they are equidistant from the x-axis.

This means that the triangle is reflected across the x-axis with no translation.

Hence, the complete similarity transformation is:

abc was dilated by a scale factor of [2], reflected across the [x-axis], and moved through the translation [0].​

Read more about transformation at:

https://brainly.com/question/4289712

Answer:

k=3.5, and y=3.5x is the equation of the line

Step-by-step explanation:

y and x are proportional means that y = kx for some constant k.

Thus, when y=7 and x=2, we have that 7 = k * 2, so that k = 7/2 = 3.5,

and the equation of the line is y = 3.5x

Answer:

is there any whole number or decimal

Answer:

$1.15

Step-by-step explanation:

$15 / 6 =$2.50 for each gel pen

$5.40 / 4= $1.35 for each note book

$2.50- $1.35= $1.15

what is happend here haha

Answer:

720 ways

Step-by-step explanation:

First place has 10 choices. First prize is chosen. So, 9 students are left.

Second place has 9 choices.

First and second prizes are chosen. Now 8 students are left

Third place has 8 choices.

Total ways = 10 * 9 * 8 = 720 ways

Answer:

she took 45 mins on homework.

Answer:

45 min hope you get it right

Answer:

12

Step-by-step explanation:

1=5/5 so 2=10/5

add 2/5 to 10/5 to get 12/5

Answer:

Step-by-step explanation:

3 2/5

Answer:

3 2/5

Step-by-step explanation:

Answer:

24 kg

Step-by-step explanation:

21 kg every 7 hr

21kg/7hr = 3kg/hr

This means he prepares 3 kg of dough every hour.

After working 8 hours, he would have prepared (3kg)(8) = 24kg of dough

Answer:

B

Step-by-step explanation

TIENES QUE SIEMPRE FIJARTE EL DE ABAJO Y DESPUES EL DE ARRIBA

EN PLAN LA LINEA QUE PASA POR EL EJE

Answer:

Step-by-step explanation:

25.65 ≈ 25.7, 13.23 ≈ 13.2, 6.35 ≈ 6.4

Correct choice is b.

Answer:

20 guests

Step-by-step explanation:

20 (20) + 400 = 400 + 400 = 800

10 (20) + 600 = 200 + 600 = 800

answer B = 20 guests

Answer:

For 20 persons the price would be same.

Step-by-step explanation:

y=y

20x+400=10x+600

20x-10x=600-400

10x=200

x=20

Therefore, for 20 persons the price would be same.

Answer:

5 would be the dependent variable.

Step-by-step explanation:

5 would be the dependent variable because that is the number that is that depends on the others in the equation for it to be the final answer.

Answer:

180

Step-by-step explanation:

k = 72/2=36

y =kx

y =36(5)

y = 180

Since the value of y varies directly with x, the value of x when y equals 9 is [tex]\frac{9}{13}[/tex]

Given the following data:

To find the value of x when y = 9:

This is a direction proportion exercise and you're required to solve for the value of x when the value of y is equal to 9.

First of all, we would determine the constant of proportionality (k) for the mathematical expression.

[tex]y = kx\\\\15 = 195k\\\\k = \frac{195}{15}[/tex]

k = 13

Now, we can find x:

[tex]y = kx\\\\9 = 13x\\\\x = \frac{9}{13}[/tex]

Therefore, the value of x when y equals 9 is [tex]\frac{9}{13}[/tex]

Read more: https://brainly.com/question/24828148?referrer=searchResults

Answer:

thank youuuuuu

Step-by-step explanation:

Answer:

thank

Step-by-step explanation:

Answer:

190.08

Step-by-step explanation:

(7 hot dogs)/(4 minutes) = (23 hot dogs)/(x minutes)

7/4 = 23/x

7x = 4*23 .... cross multiplication

7x = 92

x = 92/7

x = 13.142857 approximately

x = 13.1

Answer:

608

Step-by-step explanation:

607.5 on a number line would be round 608

because 5 is rounded to 10  like that

Apply sam technique

Answer:

The unit rate is C. 50mph

Step-by-step explanation:

Take two points from the line,

I took points (1, 50) and (2, 100).

Then plug them into this formula:

y2-y1/x2-x1

Solve:

(100- 50)/(2 - 1)

100 - 50 = 50

2 - 1 = 1

50/1 = 50

So, you get C. 50mph

Answer:

The answer would be C. 50mph

Step-by-step explanation:

Got right on USA test prep

Hope this helps

Answer:

If X is a continuous random variable, the probability density function f(x), is used to draw the graph of the probability distribution. The total area under the graph of f(x) is one.