A box shaped like a cube has an edge that is 28 cm long. How much space is available to pack inside the box?

Answer:

Step-by-step explanation:

25.

x + 2x -75 = 90

3x = 90+75

3x = 165

x = 55

Measure of A = 55

Measure of B = 2(55) - 75 = 110 - 75 = 35

28.

2x+10-x+55 = 90

x = 90-65

x = 25

measure of A = 2(25) +10 = 60

measure of B = -25+55 = 30

31.

2x+3+3x - 223 = 180

5x -220 = 180

5x = 400

x = 80

measure of A = 163

measure of B = 17

32.

-4x+40+x+50 = 180

-3x +90 = 180

-3x = 90

x= -30

measure of A = -4(-30) +40 = 160

measure of B = -30+50 = 20

Answer:

property of equality that justifies the missing step is Division property of equality

Step-by-step explanation:

We need to Identify the property of equality that justifies the missing step

[tex]28=4x-8\\28+8=4x\\36=4x[/tex]

Now, we divide both sides by 4 using division property of equality as it states that [tex]\frac{a}{c}=\frac{b}{c}[/tex]

[tex]\frac{36}{4}=\frac{4x}{4}\\9=x[/tex]

So, The property of equality that justifies the missing step is Division property of equality

The CD will earn $459.375 interest in 30 months and the balance at maturity will be $10,959.375.

Here, we are given that Ralph deposited $10,500 in an CD account that pays 1.75% simple interest for 30 months.

Simple interest can be calculated using the following formula-

Simple interest = Principle(P) × Time(t) × Rate(r)/ 100

Here,

P = 10,500

t = 30/12

r = 1.75

Thus,

Simple interest = 10,500 × 30/12 × 1.75/ 100

= 10,500 × 5/2 × 175/ 10000

= 10,500 × 5/2 × 7/ 400

= 26,250 × 7/ 400

= $459.375

Thus, the CD will earn $459.375 interest in 30 months.

Balance on maturity will be-

$10,500+ $459.375 = 10,959.375

Thus, the balance at maturity will be $10,959.375.

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Answer:48

Step-by-step explanation:

Answer:

x =23

Step-by-step explanation:

ok first, the full degree of a straight line is 180°

subtract 38° out of 180°

180-38= 142

so 6x+4= 142°

subtract 4 from both sides of the equation

6x +4 -4= 142-4

6x=138

divide 6 from 6x and 138

x=23

Answer:

Answer is 261

Step-by-step explanation:

You have to plug in the number into the variable.

* 3(-3-6)^2 -(-3) (6)

> 3(-9)^2 +3 (6)

> 3(81) + 18

> 243 + 18

> 261

I hope this is the right answer.

If, on the other hand, the balance is growing exponentially, f(x)=800(1+0.13)x where x represents the number of months, what would the balance be after 34.9 months is: $56,954.45.

Using the given exponential to determine what would the balance be after 34.9 months.

f(x)=800(1+0.13)x

Where:

x=number of months

Hence:

f(x)=800(1+0.13)x

f(x)=800(1+0.13)^34.9

f(x)=800(1.13)^34.9

f(x)=800(71.19306287)

f(x)= $56,954.45

Therefore if, on the other hand, the balance is growing exponentially, f(x)=800(1+0.13)x where x represents the number of months, what would the balance be after 34.9 months is: $56,954.45.

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Answer:

Decimal: -0.5

Fraction: - 1/2

Step-by-step explanation:

Answer:

Answer: (A)  [(6 x 1.5) - 2] ÷ 2

Step-by-step explanation:

Find the cost of 6 pounds of apples:

1 pound = $1.50

6 pounds = 6 x 1.5

Price after discount:

Discount = $2

Price after discount = (6 x 1.5) - 2

The cost is shared with her friend:

One person = [(6 x 1.5) - 2] ÷ 2

Answer: (A)  [(6 x 1.5) - 2] ÷ 2

Answer:

There are 12 combinations.

Step-by-step explanation:

Options:

1. Silver or Leather

2. Cat or Dog

3. Basketball, baseball, or soccer

Now we need to multiply the options together, so 2 × 2 × 3 = 12.

Answer:

we can't see the words clearly

Step-by-step explanation:

Answer:

1 / 3 is the answer

hope this answer will help you.

have a great time

Answer:

1/3

Step-by-step explanation:It's pretty easy, if you look, there is only three(3)

boxes, and one of them is shaded. Soo, you can do that you can solve this question!!!

[tex] \Large{\boxed{\sf x = 4}} [/tex]

[tex] \\ [/tex]

Solving this equation means finding the value of 'x' that makes the equality true.

[tex] \\ [/tex]

Given equation:

[tex] \sf -12 + 5x - x = x - 7 + 7 [/tex]

[tex] \\ [/tex]

Combine like terms:

[tex] \sf -12 + (5x - x) = x + (-7 + 7) \\ \\ \sf -12 + 4x = x [/tex]

[tex] \\ [/tex]

Now, we move the variables to the right side of the equation by subtracting 4x from both sides:

[tex] \sf -12 + 4x - 4x = x - 4x \\ \\ \sf -12 = -3x [/tex]

[tex] \\ [/tex]

Finally, divide both sides of the equation by the coefficient of the variable, -3:

[tex] \sf \dfrac{-12}{-3} = \dfrac{-3x}{-3} \\ \\ \\ \boxed{\boxed{\sf x = 4}} [/tex]

[tex] \\ \\ [/tex]

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Answer:

both equations are the same

Step-by-step explanation:

please look at the images

Answer: The answer is everytime you mutiply in by 0.6

Step-by-step explanation:

Answer:

5 feet and 60 inch

Step-by-step explanation:

5 feet and 60 inches

Step-by-step explanation:

Answer:

chance of wanted outcome/all possible outcomes

Step-by-step explanation:

Answer:

approximately glof glorf hundred

Step-by-step explanation:

if u subtract eighty from gloof glife you get glof glorf hundred

Step-by-step explanation:

There are 11 prime numbers : 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31

Answer:3

Step-by-step explanation GCF of 6 and 9 is 3.

Step-by-step explanation:

–5/6 + 7/5 = –25/30 + 42/30

= 17/30

Answer:

-7x

Step-by-step explanation:

-6x - x =

-7x

Answer:

SAS Translation

Step-by-step explanation:

The triangle just moved over, it didn't rotate or flip.

Answer:

1.62 × 10⁸

hope it helps!

Answer:

I believe you cancel out values if there are the same ones for the numerator and dominator.

For example:

[tex]\frac{x^4+x^2+x-3}{x^4+x^3-3}[/tex]

Since both the numerator and dominator have [tex]x^4[/tex] and -3, you are able to cancel them out.

This would leave you with [tex]\frac{x^2+x}{x^3}[/tex]

Notes: the exponents have to be the same number in order to cancel out the values.

Answer:

  11.  C) x +1

  12.  B) x -1

Step-by-step explanation:

You want the simplified form of a couple given rational expressions.

Each of the polynomials can be factored by pairs. Common factors can be cancelled.

Factoring numerator and denominator pairwise, we have ...

  [tex]\dfrac{x^3+2x^2-x-2}{x^2+2x-x-2}=\dfrac{x^2(x+2)-1(x+2)}{x(x+2)-1(x+2)}=\dfrac{(x^2-1)(x+2)}{(x-1)(x+2)}\\\\=\dfrac{x^2-1}{x-1}=\dfrac{(x+1)(x-1)}{(x-1)}=\boxed{x+1}[/tex]

Factoring the numerator pairwise,, we have ...

  [tex]\dfrac{x^5-x^4+x^3-x^2+x-1}{x^4+x^2+1}=\dfrac{x^4(x-1)+x^2(x-1)+1(x-1)}{x^4+x^2+1}\\\\=\dfrac{(x^4+x^2+1)(x-1)}{(x^4+x^2+1)}=\boxed{x-1}[/tex]

Answer:

6inch

Step-by-step explanation:

Read the excerpt from The Crisis, Number I by Thomas Paine.

“I once felt all that kind of anger, which a man ought to feel, against the mean principles that are held by the Tories: a noted one, who kept a tavern at Amboy, was standing at his door, with as pretty a child in his hand, about eight or nine years old, as I ever saw, and after speaking his mind as freely as he thought was prudent, finished with this unfatherly expression, ‘Well! give me peace in my day.’ Not a man lives on the continent but fully believes that a separation must some time or other finally take place, and a generous parent should have said, ‘If there must be trouble, let it be in my day, that my child may have peace;’ and this single reflection, well applied, is sufficient to awaken every man to duty.”

Which is a central idea of this excerpt?

Paine feels that everyone should be able to speak freely, which is why he supports independence.

Paine believes that colonists should fight for independence so their children can live in peace.

Paine believes that some people are selfish and place their needs above others.

Paine felt anger for the first time when he saw an interaction between a Tory and a child.

Answer:−589.86

Step-by-step explanation:

let unknown number be x

Solve for x

655.4+x=65.54

Subtract 655.4 from both sides.

x=65.54−655.4

Subtract 655.4 from 65.54 to get −589.86.

x=−589.86

Answer:

Do you have any numbers?

Answer:

-4x/-2y

Step-by-step explanation:

16x - y - 4x + 1

---------------------

16x - y - 2y - 1

= - 4x/- 2y

Hope this helped!