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olga2289 [7]
3 years ago
8

A wedge of cheese is shaped like a triangular prism. The wedge of cheese is 7 inches tall. The base of the cheese is shaped like

a triangle with a base of 11 and a height of 5 inches. If you ate this whole block of cheese, about how many cubic inches would you have eaten (ignoring the holes)?
420 in
193 in
385 in
210 in
Mathematics
1 answer:
Gala2k [10]3 years ago
4 0

Answer:

193 in

Step-by-step explanation:

Volume of a triangular prism:

The volume of a triangular prism is the base area multiplied by the wedge, that is:

V = A_bw

The base area is one half times the triangle base times it's height, so:

V = 0.5*b*h*w

The wedge of cheese is 7 inches tall.

This means that w = 7

The base of the cheese is shaped like a triangle with a base of 11 and a height of 5 inches.

This means that b = 11, h = 5

Volume:

V = 0.5*b*h*w = 0.5*11*5*7 = 192.5

Rounding, approximately 193 in.

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How much does mike charge a new customer to ship a package that weighs 50 pounds ? He chargers $40 per pound.
Vera_Pavlovna [14]

Answer:

$2000

Step-by-step explanation:

For each pound, the charge is $40. There are 50 such charges. The point of multiplication is to simplify the process of repeated addition.

... 50 × $40 = $2000

3 0
3 years ago
On average, the merchandise shop sells 80 CDs for every 1 vinyl record. Estimate how many vinyl records they are likely to sell
sp2606 [1]
The merchandise shop sells 80 CDs for every 1 vinyl record. We have to find how many vinyl records they are likely to sell if the merchandise shop sells 760 CDs:
         80  CDs -------------------- 1 vinyl record
        760 CDs --------------------- x vinyl records
     ---------------------------------------------------------
        80  : 760 = 1 : x
        80 x = 760
        x = 760 : 80
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7 0
3 years ago
Read 2 more answers
I just need help explaining it. solve the system of equation
Maksim231197 [3]

SOLUTION

Write out the equation

\begin{gathered} y=\frac{1}{3}x-3 \\ 5x-3y=-3 \end{gathered}

To solve this system of equation, the aprropriate method will be substitution

Substitute the expression for y into the second equation for y, we have

5x-3(\frac{1}{3}x-3)=-3

Expand the paranthesis we have

\begin{gathered} 5x-x+9=-3 \\ \text{Simplify},\text{ by subtracting 9 from both sides } \\ 4x+9-9=-3-9 \\ 4x=-12 \end{gathered}

Divide both sides by 4, we have

\begin{gathered} \frac{4x}{4}=-\frac{12}{4} \\ \text{Then} \\ x=-3 \end{gathered}

Since the value of x has been obtained, we substitute into the first equation

\begin{gathered} y=\frac{1}{3}x-3 \\ \text{ recall x=}-3 \\ y=\frac{1}{3}(-3)-3 \\ y=-1-4 \\ \text{Hence } \\ y=-4 \end{gathered}

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6 0
1 year ago
Write 0.0059 in scientific notation.
polet [3.4K]
Hi!

When we write a number in scientific notation, we write it like this:
N × 10^{x}

N = a number between one and 10
x = negative if the decimal is moved to the right. positive if moved to the left.

Okay, so we need to move the decimal in the number <span>0.0059 to the right to make it between one and 10.
0.0059
00.059
000.59
0005.9
5.9

N = 5.9
5.9 </span>× 10^{-x}

Since we moved the decimal to the right 3 times,
x = -3

5.9 × 10^{-3}
^ the answer

Hope this helps! :)
7 0
3 years ago
Read 2 more answers
All factors for 3,235?
natali 33 [55]

Answer:

1,5,647,3235

Step-by-step explanation:

there yah go

6 0
3 years ago
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