MATHEMATICS MIDDLE SCHOOL

Solve the equation below for x
9(x - 5) = 4x - 5

Answers

Answer 1
Answer: 9(x-5)=4x-5\n\n9\cdot x+9\cdot(-5)=4x-5\n\n9x-45=4x-5\ \ \ \ /+45\n\n9x-45+45=4x-5+45\n\n9x=4x+40\ \ \ \ /-4x\n\n9x-4x=4x-4x+40\n\n5x=40\ \ \ \ /:5\n\n5x:5=40:5\n\nx=8

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A box of cereal has a width of 4 inches, and a length of 8 inches and a height of 12 inches. What is the volume of the box, in cubic inches? Use the formula , where V represents the volume, l represents the length, w represents the width, and h represents the height.

Answers

Hey there,

Formula:                                                               V = lwh

Plug in and solve:

V = (8)(4)(12)

V = 384 inches

Hope I helped!

-Char

Answer:

\text{Volume of box of cereal}=384\text{ in}^3

Step-by-step explanation:

We have been given that a box of cereal has a width of 4 inches, and a length of 8 inches and a height of 12 inches.

To find the volume of our give box we will use volume of cuboid formula.

\text{Volume of cuboid}=l*w*h, where,

l=\text{Length of cuboid},

w=\text{Width of cuboid},

h=\text{Height of cuboid}.

Upon substituting our given values in volume formula we will get,

\text{Volume of box of cereal}=\text{8 in*4 in*12 in}

\text{Volume of box of cereal}=384\text{ in}^3

Therefore, the volume of box of cereal is 384 cubic inches.

What are the square roots of 144 over 256 ?A.
minus 12 over 16 and 12 over 16

B.
minus 12 over 18 and 12 over 18

C.
minus 9 over 16 and 9 over 16

D.
minus 72 over 128 and 72 over 128

Answers

You can get the solution by just testing.
Let's start with A:
12*12=144
16*16=256

Now you know that A is the correct answer.

reasoning: if you know that 9 x 20 = 180, how can you use this to find 9 x 24? explain your strategy.

Answers

9 * 20 = 180

24 has 4 more than that, so multiply 9 to 4 and add it to 180.

9 * 4 = 36

180 + 36 = 216

So 9 * 24 = 216
9 × 24 = 9 × ( 20 + 4 ) = 9 × 20 + 9 × 4 = 180 + 36 = 216 ;

Frankie’s electric bill total is $48 and contains three charges: a charge for electricity used, 5% tax on the charge for electricity used, and $6.30 in fees. Which statements are true?

Choose exactly two answers that are correct.

A. The equation that represents the price, e, of the electricity is e + 0.05e + 6.30 = 48.

B. The equation that represents the price, e, of the electricity is 0.05e + 6.30 = 48.

C. The cost of the electricity before taxes or fees is $39.71.

D. The cost of the electricity before taxes or fees is $834.

Answers

A. The equation that represents the price, e, of the electricity is e + 0.05e + 6.30 = 48
C. The cost of the electricity before taxes or fees is $39.71. 

e + 5% of e + 6.30 = 48
e + 0.05e + 6.30 = 48
1.05e = 48 - 6.30
1.05e = 41.70
e = 39.71

39.71 + 5%(39.71) + 6.30 = 48
39.71 + 1.99 + 6.30 = 48
48 = 48

Find the area of the shaded region in the figure below. 5in. 8in.

Answers

Hi there!

Answer:

The area of the shaded region is 28 in²


Step-by-step explanation:

You will have to do 3 different steps in order to find the area of the shaded region.

First, you will need to find the total area of the rectangle using the values you have and the area formula for a rectangle, which is : A = Length × Width

"A" is the area, which is what we are looking for

The "Length" is equal here to 8 inches

The "Width" is equal here to 5 inches


A = 8 × 5

A = 40 in²


Now that you have the area of the rectanlge, your second step is to find the area of the triangle using the values you have and the area formula for a triangle, which is : A = (Base × Height) ÷ 2

"A" is the area, which is what we are looking for

The "Base" is equal here to 8 inches

The "Height" is equal here to 3 inches


A = (8 × 3) ÷ 2

A = 24 ÷ 2

A = 12 in²


Now that you have both the area of the rectangle and the area of the triangle, all you have to do for your third and final step is subtract the area of the triangle from the area of the rectangle so that you are left with the area of the shaded region :

Area shaded region = 40 in² - 12 in²

Area shaded region = 28 in²


There you go! I really hope this helped, if there's anything just let me know! :)

list the following rational numbers in order from least to greatest. -0.4 , 0.48, 4/8, -4/8. Someone plssssssss help me I need it for today.

Answers

For a problem like this, it is best to convert all numbers to a similar form making them easier to compare. I am going to convert them all to decimals, although converting them all to fractions can also work. 
-0.4 is already a decimal, so it needs no conversion; the same goes for 0.48.
4/8 is equal to 1/2, which equals 0.5 as a decimal. -4/8 is the same as -1/2, which is -0.5.
Therefore, we are left with the following converted numbers:
-0.4; 0.48; 0.5; -0.5

Now to simply order them from least to greatest, we will start with the two negative numbers because they are both below zero. When comparing negative numbers, the "bigger" one is actually smaller because it is farther below zero. Therefore, -0.5 is the smallest, followed by -0.4. 

Now for the last two, 0.5, or 0.50, is 0.02 bigger than 0.48. Therefore, 0.48 is the second largest number and 0.5 is the largest.

This is the order now:
-0.5 (smallest)
-0.4 (2nd smallest)
0.48 (2nd largest)
0.5 (largest)

Now they simply need to be converted back to their original form (if applicable):
-0.5 = -4/8
-0.4 = -0.4
0.48 = 0.48
0.5 = 4/8

This leaves us with the answer:
-4/8; -0.4; 0.48; 4/8
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