Vito has an 8-inch by 10-inch piece of cardstock. He cuts it in the shape shown below and folds it on the dotted lines. He tapes the slides to make the box shown below. What is the surface area of the box?

the letter "w" represents a variable, and the letter "h" also represents a variable. The goal is to solve for either "w" or "h" by using the given information and the rules of algebra.

To solve this equation, we can start by multiplying both sides of the equation by 3 to eliminate the fraction on the right side:

w-4/h-4=4/3

3(w-4/h-4)=3(4/3)

This simplifies to:

3w-12/3h-12=4

Next, we can simplify the expression on the left side of the equation by combining like terms:

3w-12/3h-12=4

3w-3h=-8

Finally, we can solve for either "w" or "h" by using the given information and the rules of algebra. For example, we can solve for "w" by adding 3h to both sides of the equation:

3w-3h=-8

3w=-8+3h

w=-2+h

This means that the value of "w" is equal to the value of "h" minus 2. Alternatively, we could solve for "h" by adding 3w to both sides of the equation:

3w-3h=-8

-3h=-8+3w

h=2-w/3

This means that the value of "h" is equal to 2 minus the value of "w" divided by 3.

Answer:

Step-by-step explanation:

This problem is asking you to substitute for x.

1. 38.1 + x when x=-6.1

It is giving you what the value of x is, -6.1.

Substitute

38.1 - 6.1

=32

When ever it says x =

That number replaces x and then you solve.

2. 18.7 + x      x = 8.5

18.7 + 8.5

27.2

Do this for the rest of the problems.

Hope this helps!!!

Answer:

Step: You have 3 apples a black guy comes and steal 1 you would now have 2 cause you can’t catch a black man

Answer: 29 ft because if his shadow is 8 ft that tells me that  the equation would be less and and 8-5=3 so 32-29=3

Step-by-step explanation:

Answer:

We need a picture

Step-by-step explanation:

Answer:

-17

Step-by-step explanation:

I will represent the question mark with the variable [tex]x[/tex].

[tex]x - 11 + 12 = -16[/tex]

To solve for [tex]x[/tex], we need to isolate it.

To do this, subtract 12 from both sides.

[tex]x - 11 + 12= -16\\\underline{\textrm{ } \ \ \ \ \ \ \ \, -12} \ \, \, \, \, \ \underline{-12}\\x - 11 \ \ \ \ \ \: \ = -28[/tex]

Then, add 11 to both sides.

[tex]x - 11 = -28\\\underline{\ \ \: + \, 11} \ \ \ \, \underline{+ \, 11}\\x \ \ \ \ \ \ \: = -17[/tex]

[tex]x = -17[/tex]

So, the integer that makes the equation true is -17.

Answer:

9: Slope is 2/5 and y-intercept is -3

Equation: y=2/5x-3

10: Slope is 1 and y-intercept is -6

Equation: y=x-6

11: Slope is -1/4 and y-intercept is 5

Equation: y=-1/4x+5

12: Slope is 4/3 and y-intercept is 0

Equation: y= 4/3x + 0

Sorry for not explaining the answers! I was in a bit of a rush, but if you don't understand just let me know by rating my answer because I'd be happy to help! (another day though, I'm full of exams these next 2 weeks hehe)

Answer:

multiply by 3

Step-by-step explanation:

9x/3=3 3+-3=0

-3/3=0

Answer: For 5 down 3 across is $4.00/3 and 1/10 = $1.29

For 6 down 3 across is $10.90/10 = $1.09

Step-by-step explanation:

Answer:

k12 undefined

Step-by-step explanation:

Answer:

9 of one number

Step-by-step explanation:

step one :

given

let the number of test grade be g= 27

time taken t = 3 hours

step two :

the constant variation the number relates two variable that are directly proportional or inversely proportional

so that the direct variation is

g=t/k

k= g/t

k= 27/3

k= 9

Ans

Answer: Remove, Multiply, Add (RMA)

Step-by-step explanation:

I'll share a method I use. it is removed, multiply, and add. first, you have to remove the decimals from the problem, multiply them, and add the decimals back into the problem. count the number of how many numbers are behind the decimal. for example, let's take 3. after you multiply, count three spaces to the left and place the decimal. let's take 3.12 x 2.7. first, remove the decimals. after you do that, you're left with 312 x 27. do the multiplication, and then count the number of how many numbers are behind the decimals. so, that would be three. your answer for the mutiplication problem is 8,424. since there are three spaces, you would count one, two three. to the left of 8,424. therefore, the answer is 8.424

Answer: what they

Step-by-step explanation:

Answer OPTION B

Step-by-step explanation:

Answer:

For question 2/3 ÷ 1/4
Answer: 8/3 or 2 2/3

Step-by-step explanation:

Common denominator is 12
8/12 ÷ 3/12
Divide (Multiply by the reciprocal)
8/12 x 12/3
Answer is 8/3 or 2 2/3

Answer:

A

Step-by-step explanation:

Direct variation graphs always intersect the origin. Therefore, graph A is accurate.

Answer: The mathematical statement is given as

"2.5 greater than the product of -0.5 and a number"

Product means times

So, we have the following representation

"2.5 greater than the product of -0.5 and a number" ⇒  2.5 greater than -0.5 * a number

Let the number be x

So, we have

"2.5 greater than the product of -0.5 and a number" ⇒  2.5 greater than -0.5x

Greater than is represented by >

So, we have

"2.5 greater than the product of -0.5 and a number" ⇒  2.5 > -0.5x

Next, we plot the graph of the inequality expression

See attachment for the graph of the inequality expression

Step-by-step explanation: have a blessed day

Answer: x=0

Step-by-step explanation:

combine like terms

-3x+15=15+18x-12x

-3x+15=15+4x

Move all numbers with variable x to the left side and other numbers to the right side

-7x=0

x=0

Answer:

Step-by-step explanation:

Even though death valley is at -282 feet in relation to sea level, it's 282 feet away in distance. So even though the distance is in a different/negative direction, it's still an ACTUAL distance, and we call that absolute value.

Answer:

x = - 26

Step-by-step explanation:

2x - 11 - 3x = 15

- x - 11 = 15

- x = 15 + 11

- x = 26

x = - 26

Answer: x = -26

Step-by-step explanation:

How to solve your problem

2x-11-3x=15

Solve

1

Combine like terms

2x - 11 3x +15

-x -11 = 15

Add

11

to both sides

-x-11=15

-x-11+11 = 15 + 11

3

Simplify

Add the numbers

Add the numbers

Answer:

True - No whole numbers are irrational numbers.

False - All irrational numbers are integers.

False - Some whole numbers are not integers.

False - Some integers are not rational numbers.

Answer:

If you were to choose the number 30

5 baskets= 6

6 baskets= 5

Step-by-step explanation:

If you were to pick the number 30 and distrubute it

5 baskets:-

30 divided by 5= 6

6 baskets:-

30 divided by 6= 5

Answer: The First one isn't valid

               The second one is equal to 9

Answer:

Step-by-step explanation:

Substitute 8 for x

3(8) - 1

Solve:

3 x 8 = 24

24 - 1 = 23

Next, substitute for x in the inequality with the answer you just made. See if it's true.

23 [tex]\leq[/tex] 2

The inequality is NOT TRUE

Same thing for the next one

1/2(8) + 5

Solve:

1/2 x 8 = 4

4 + 5 = 9

Substitute for x in the inequality with the answer you just made. See if it's true.

9 > 2

This inequality is TRUE

Hope this helps!!!

Answer:

[tex]23 + 712 = y \\ [/tex]

Group liketerms

[tex]y = 712 - 23[/tex]

subtract

[tex]689[/tex]

Answer:

0.42+ 0.17w); 1.10$

It would cost us $1.10 to send a 4-ounce letter.

Answer:

C) 0.42 + 0.17 | w: $1.10

Step-by-step explanation:

Note that amount of ounces is denoted by the variable "w". The cost per ounce is $0.17, while the constant charge (charge doesn't change per ounce) is $0.42.

Set the equation:

(Cost per ounce x Amount of ounces) + Constant charge = Total charge:

(0.17x) + 0.42 = Total Charge

Total Charge = 0.17x + 0.42

Next, you are solving for the cost of 4 ounces. Plug in 4 in the variable, x.

Total Charge = 0.17x + 0.42

                      Plug in 4 for x.

                      = 0.17(4) + 0.42

                      Follow PEMDAS, First, multiply, then add:

                      = (0.17 * 4) + 0.42

                      = 0.68 + 0.42

                      = 1.10

~

C) 0.42 + 0.17  | w: $1.10 is your answer.

Learn more about variables, here:

https://brainly.com/question/2466865

Answer:

a.125

b.42

c.32

d.48

Step-by-step explanation:

Answer:

28/42

Step-by-step explanation:

Answer:  There are 4 possible ways to line up the tables

Step-by-step explanation:

First, we need to find the factors of 42.
Factors of 42:  1, 2, 3, 6, 7, 14, 21, and 42.

Here we can see 4 pairs of numbers
1, 42
2,21
3,14
6,7
In total that is 4 so the answer would be
There are 4 possible ways to line up the tables