Demarcus has a cereal box shaped like a rectangular prism.
It measures 7 and 5/8 inches long, 2 1/2 inches
wide and 12 inches high. What is the volume of the cereal box?

Answer:

3 1/3

Step-by-step explanation:

Make the fractions into improper fractions:

2 1/2 = 5/2

1 1/3 = 4/3

5/2 × 4/3 =

5×4/2×3 =

20/6 =

10/3 =

3 1/3

Answer:

Part A: the second choice

Part B: 72 blocks

Step-by-step explanation:

The prism has 3 layers and 24 blocks per layer. The base of each layer of the second choice has a width of 8 and length of 3.

8*3=24.

Multiply the 24 blocks on each layer with the 3 layers and we get 72 blocks in total.

We can check this by multiplying the dimensions of the prism together. 3*3*8=72 and this verifies that we are correct.

Answer:

53712.4

Explanation:

[tex]\sf\rightarrow 53.7124\:x\:10^3[/tex]

[tex]\sf\rightarrow 53.7124\:x\:1000[/tex]

[tex]\sf\rightarrow 53712.4[/tex]

Answer:

53712.4

Step-by-step explanation:

To represent this expression as a number, we need to simplify the expression to obtain a specific number (solution). The first step would be to simplify the exponent in the expression.

Simplifying the exponent:

⇒ 53.7124 x 10^{3}

⇒ 53.7124 x 10 x 10 x 10

Note: Each 10 will shift the decimal 1 place to the right.

⇒ 537.124 x 10 x 10

⇒ 5371.24 x 10

⇒ 53712.4

Answer:

4

Step-by-step explanation:

6 × 2/3 = 6/1 × 2/3 = 12/3 = 4

Answer:

2*2=4

Step-by-step explanation:

So 4 is the correct answer.

Hope this helps.

Answer:

-E=A

Step-by-step explanation:

e is 4 segments away from zero in a positive direction. assuming that each segment has a value of one you are at 4 and the point a is at -4 wich is the negative version of 4 therefor option A is correct

Answer:

B

Step-by-step explanation:

Setting up long division we get:

Answer:

x = -40

Step-by-step explanation:

Rewrite "(x - 4)/4" in a different way:

⇒ 8 + x/2 = (x - 4)/4 - 1

⇒ 8 + x/2 = x/4 - 4/4 - 1

Simplify the R.H.S:

⇒ 8 + x/2 = x/4 - 1 - 1

⇒ 8 + x/2 = x/4 - 2

Add 2 both sides and subtract x/2 both sides:

⇒ 8 + x/2 = x/4 - 2

⇒ 8 + 2 = x/4 - x/2

⇒ 10 = x/4 - 2x/4

Simplify the R.H.S:

⇒ 10 = x/4 - 2x/4

⇒ 10 = -x/4

Use cross multiplication:

⇒ 10 × 4 = -x

⇒ -(40) = x = -40

Answer:

xx=-40xAnswer

Step-by-step explanation:

Answer:

The Articles of Confederation were A. a set of rules for governing the nation.

n=32÷4

n=8

Answer:

[tex]Hi!~I~am~beinggreat78,~and~I~will~help~you![/tex]

Let's start by breaking down the problem.

This is how it should look. ↓

[tex]60[/tex] ÷ [tex]20[/tex] ⇒ [tex]+ 3[/tex] ⇒ [tex]x * 5^2[/tex]

What does that x mean? x is just a substituted value for the first 2 equations.

Now, we can solve.

[tex]60[/tex] ÷ [tex]20[/tex] [tex]= 3[/tex]

Add 3

[tex]3 + 3 = 6[/tex]

Now, multiply 6 times 5 squared. What does 5 squared mean? 5 squared is just 5 times itself once. You most likely want to solve 5 squared before multiplying.

[tex]5^2~or~5 * 5 = 25[/tex]

And now for the last step, multiply 25 times 6

[tex]25 * 6 = 150[/tex]

With that information, the problem is solved! Your answer is 150

Answer:

The area increases by 25.68 [tex]cm^2[/tex]

Step-by-step explanation:

The surface area of a cuboid is 2lw + 2wh + 2lh, where l = length, w = width, and h = height. The current surface area is 2*18*3.4 + 2*3.4*30 + 2*18*30, which is 1406.4. If the height is increased by 0.6 cm, the surface area will be 2*18*3.4+2*3.4*30.6+2*18*30.6, which is 1432.08. The difference is surface area is 25.68 [tex]cm^2[/tex]

Answer:

The area increases by 25.68

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

first, figure out the radius. the radius is the 1/2 of the diameter, so 5. in the equation, the formula is pi x radius^2. so 5^2 is 25. then 25x3.14 is b, and we have our answer.

Answer:

b

Step-by-step explanation:

10 divided by 2=5 radius

to get area = Radius^2 x pi

5x5x3.14= 78.5 square units

Hope this helped!

Answer:

Look at photo

Step-by-step explanation:

Look at photo

Answer:

Given:

And if we look at the diagram, we can see that angles 1 and 2 are corresponding, and corresponding angles are congruent(meaning they measure the same degrees).

So all we need to do now, is set up the equation to angle 1 being equal to angle 2.

(63 - 2x) ← [angle 1] = (72 - 3x) ← [angle 2]

Solve;

63 - 2x = 72 - 3x

+2x            +2x

63 = 72 - 1x

-63     -63

9 - 1x = 0

+1x      +1x

9 = x, the value of 'x' measures 9°.

Answer:

OMGGGG SO CUTEEE!!!

Step-by-step explanation:

Answer:The most wholesome thing I have ever seen in my life.

Step-by-step explanation:

Also 77 + 33 = 100!!

Answer-the answer is 3 years

Step-by-step explanation:So what I did is subtract skylers wage by isabellas wage(18.35-15.35=3)and I go 3 so he has been working 3 years at this job

Answer:

When put into a decimal, the answer is 0.09 recurring.

Step-by-step explanation:

Divide the numerator by the denominator to convert a fraction to a decimal. The entire number stays to the left of the decimal when there is a mixed number.

Answer:

for question 19 the answer is 6,12

Step-by-step explanation:

and then I'm sure of the last one

pls mark brainlest!!

Answer:

N=$6.75÷(2+3+4)

N=$6.75÷9

N=$0.75

Step-by-step explanation:

Hope this helps!!!

Answer:

Hi! I solved your question, just check the images.

Step-by-step explanation:

See image above.

Answer

Area- 9 and Perimeter- 12

Step-by-step explanation:

Answer:

there is given length and time

Answer:

10

Step-by-step explanation:

Solve f(x)=2, if f(x)=1/2x-3

Both equations are set to equal f(x) so the solution would be the two equations set to equal each other

2 = 1/2x - 3

==> add 3 to both sides

5 = 1/2x

==> multiply both sides by 2

10 = x

Answer:

x = 10

given:

f(x) = 2

======

[tex]\sf \rightarrow \dfrac{1}{2} x- 3= 2[/tex]

change side

[tex]\sf \rightarrow \dfrac{1}{2} x= 2+3[/tex]

simplify the following

[tex]\sf \rightarrow \dfrac{1}{2} x= 5[/tex]

change side

[tex]\sf \rightarrow x= 5*2[/tex]

final outcome

[tex]\sf \rightarrow x= 10[/tex]

Answer:

24

Step-by-step explanation:

15+ 9=24

3x5=15

1/2(6x3)=9