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3 years ago

Round 4.675 to the nearest cent

1 answer:

3 0

Money is written out to the hundredths place, so when rounding to the nearest cent, round to the hundredths place. In 4.675, the 7 is in the hundredths place. The value to its right, 5, is greater than 4, so the 7 is rounded up to 8. So 4.675 to the nearest cent is 4.68

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D+fg=h (solve for the variable “g”)

Damm [24]

Answer:

g = h/f - d/f

Step-by-step explanation:

5 0

3 years ago

John buys a computer with a 20% discount. If he paid $760 for the computer, how much was the discount?

Mumz [18]

If there was 20% taken off you add 20% back on and that is how you will get your answer. So take 760 plus the 20% which gives you 912 dollars

8 0

3 years ago

Read 2 more answers

3) An open top box is to be constructed out of a 90 inch by 70 inch piece of cardboard by cutting squares out of the corners and

Elena L [17]

Answer:

a) The volume in cubic inches is 36000

b) The volume in cubic feet is 125/6

c) The volume in cubic yard is 125/162

Step-by-step explanation:

* Lets study the information of the problem to solve it

- The dimensions of the piece of cardboard are 90 inches by 70 inches

- The side of the cutting square is 15 inches

- The squares are cutting from each corner

∴ Each dimension of the cardboard will decrease by 2 × 15 inches

∴ The new dimensions of the piece of cardboard are;

90 - (15 × 2) = 90 - 30 = 60 inches

70 - (2 × 15) = 70 - 30 = 40 inches

- The dimensions of the box will be:

# Length = 60 inches

# width = 40 inches

# height = 15 inches

- The volume of any box with three different dimensions is

V = Length × width × height

∵ The length = 60 inches

∵ The width = 40 inches

∵ The height = 15 inches

∴ V = 60 × 40 × 15 = 36000 inches³

a) The volume in cubic inches is 36000

* Now lets revise how to change from inch to feet

- 1 foot = 12 inches

∵ 1 foot = 12 inches

∴ 1 foot³ = (12)³ inches³

∴ 1 foot³ = 1728 inches³

∵ The volume of the box is 36000 inches³

∴ The volume of the box in cubic feet = 36000 ÷ 1728 = 125/6

b) The volume in cubic feet is 125/6

* Now lets revise how to change from feet to yard

- 1 yard = 3 feet

∵ 1 yard = 3 feet

∴ 1 yard³ = (3)³ feet³

∴ 1 yard³ = 27 feet³

∵ The volume of the box is 125/6 feet³

∴ The volume of the box in cubic yard = 125/6 ÷ 27 = 125/162

c) The volume in cubic yard is 125/162

8 0

3 years ago

Read 2 more answers

Find the surface area.

denpristay [2]

Step-by-step explanation:

a rectangular prism (like this brick) has the same basic structure as a cube (like a die) : it has 6 sides.

while a die has 6 equal sides, a rectangular prism has 3 pairs of equal sides :

top and bottom

left and right

front and back

all we have to do is calculate the areas of the 6 rectangles and add them up. that's it.

your remember, the area of a rectangle is

length × width

in our case we have

top and bottom : 2.5×11.5 × 2 = 28.75×2 = 57.5 in²

left and right : 2.5×5 × 2 = 12.5×2 = 25 in²

front and back : 11.5×5 × 2 = 57.5×2 = 115 in²

so, the total surface area of the whole block is

57.5 + 25 + 115 = 197.5 in²

5 0

2 years ago

If -3m + 1 > 7, which of the following is a solution set for m?

Papessa [141]

ANSWER

m < -2

EXPLANATION

We want to find the solution set for m in:

$-3m+1>7$

First, collect like terms:

$\begin{gathered} -3m>7-1 \\ -3m>6 \end{gathered}$

Now, divide both sides by -3. When you divide an inequality by a negative number, <em>the sign changes direction</em>:

$\begin{gathered} \frac{-3m}{-3}>\frac{6}{-3} \\ m$

This means that all values of m must be less than -2.

<em>None of the options contains the correct solution set.</em>

4 0

11 months ago