MATHEMATICS MIDDLE SCHOOL

(HELP ME PLEASE!!!!!! IT HAS PICTURES!!!!!)The edge of each cube used to build this rectangular prism is 1/3 inch long. Which equation shows the volume of the prism, in cubic inches?|A|(9/3⋅6/3⋅6/3) in.^3 = 12 in.^3

|B|(3/3⋅2/3⋅3/3) in.^3 = 2/3 in^.3

|C|(3 1/3⋅2 1/3⋅3 1/3) in.^3=25 25/27 in.^3

|D|(3⋅2⋅3) in.^3=18 in.^3

Answers

Answer 1

Answer:

Answer:

Option B

Step-by-step explanation:

step 1

Find the number of cubes in the prism

$(3)(2)(3)=18\ cubes$

step 2

Find the volume of one cube

The volume of one cube is equal to

$V=b^3$

where

b is the length side of the cube

we have

$b=(1)/(3)\ in$

substitute

$V=((1)/(3))^3$

$V=(1)/(27)\ in^3$

step 3

To find out the volume of the prism , multiply the volume of one cube by the number of cubes

$V=((1)/(27))18$

$V=(18)/(27)\ in^3$

simplify

$V=(2)/(3)\ in^3$

Answer 2

Answer:

|B|(3/3⋅2/3⋅3/3) in.^3 = 2/3 in^.3

Step-by-step explanation:

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write an equation in standard form for a line that is parallel to the line with an equation of y=3x-5 that passes through the point (8,5).

Answers

Answer:

The standard form of the equation is -3x + y = -19

Step-by-step explanation:

To find the standard form, we first need to note that the slope will be 3 since parallel lines have the same slope. Then we can use point-slope form and manipulate into standard form.

y - y1 = m(x - x1)

y - 5 = 3(x - 8)

y - 5 = 3x - 24

-3x + y - 5 = -24

-3x + y = -19

explain how multiplying a whole number and a decimal is similar to and different from multiplying whole numbers

Answers

Similar :

Ignore the decimal point and multiply the numbers

Difference :

Count the decimal places and put the decimal point in the final answer

Given :

multiplying a whole number and a decimal

similar :

When we multiply a whole number by a decimal then we ignore the decimal first and the we multiply as if we multiply the whole numbers .

So, its similar like multiplying whole numbers

Different:

After multiplying the numbers as if we multiply like whole numbers , we move the number of decimal places from the left that we have in the decimal number and write the final answer with decimal point .

Learn more : brainly.com/question/2163455

Explanation:

The process is very similar. We multiply the digits the same was as we would multiply whole numbers. We start at the last place value and multiply, working our way left with each line. At the end of the process, we add the lines together.

The difference comes with the decimal point. After we are finished multiplying, we count the number of digits behind a decimal (total) in the problem. This is how many digits will be behind a decimal in the answer.

If m3=40, what is m2

Answers

Answer:

m<2 = 50°

Step-by-step explanation:

Right triangle

m<3 = 40

so m<2 = 90 - m<3

m<2 = 90 - 40

m<2 = 50

Could someone help out? Awarding 25 points for this. :)

If 15% of n = 75 then n = ?

Answers

15% ------- 75
100% ---- n

n=(100*75)/15=500

n=500

Answer:

$n=(100*75)/15=500$

Step-by-step explanation:

the answer is n=500*

Can someone help me with this page?

Answers

B is the first one
D
C
And finally (most likely) A

sure
i will help with the page if i can do it…

The amount of rhubarb in the original recipe is 3 1/2 cups. Using what you know of whole numbers and what you know of fractions explain how you could triple that mixed number

Answers

Answer:

$10(1)/(2)$ cups.

Step-by-step explanation:

The amount of rhubarb in the original recipe is = $3(1)/(2)$ cups.

= $(7)/(2)$ cups

Using this amount we have to triple that mixed number.

So we have to multiply this fraction by 3.

$(7)/(2)$ × 3

= $(21)/(2)$

= $10(1)/(2)$ cups

We will get $10(1)/(2)$ cups when we triple the number of $3(1)/(2)$

Well first things first is you got to turn 3 1/2 into a mixed number. All i did was multiply 3x2 and added 1 which gave me 7 so that was my numerator. And for my denominator i kept the 2. So all you got to do now is multiply the fraction by 3 and make sure you put a 1 under 3. It gives you 21/2 so just divide that since its improper. And then your answer would be 10 1/2. Hope this helped you!
10 1/2
+ 1 7 3 21 2)21
3---- = ---- x ----- = ------ - 2
x 2 2 1 2 ---------
01
- 0
-----------
1