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Zarrin [17]
3 years ago
14

Solve: 5n + (3 x 4) n= 6 *

Mathematics
2 answers:
valentinak56 [21]3 years ago
8 0
Combine the like terms
Contact [7]3 years ago
5 0
Collect like terms
5n+12n=6

divide both sides
17n=6

solution:
n=6/17
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Simplify the expression and show work.
nasty-shy [4]

Answer:

72/149

Step-by-step explanation:

Just to clarify, the curly braces mean the same thing as normal parenthesis.

(12 + 5^2) = (12 + 25) = 37

(-7-15)^2 = (-22)^2 = 484

6^3  = 216

(12 + 5^2) - (-7-15)^2 = 37 - 484 = 447

6^3 / ((12 + 5^2) - (-7 - 15)^2) = 216 / 447 = 72/149

4 0
3 years ago
What is the volume of a cone that has a radius of 4 cm and a height of 9 cm?
vodka [1.7K]
For any sort of pyramid or cone, the volume is 1/3 of the volume of a prism with the same base and height. Since the volume of a prism/cylinder is V=Bh, the volume of a pyramid/cone is V=\frac{1}3Bh.

In this case, our base is a circle, which has a radius of 4 cm.
The area of a circle is A=\pi r^2 where r is the radius.
A=\pi (4)^2=\pi (4\times4)=16\pi=B

We now know that our base is 16π cm.
We also know that our height is 9 cm.
Let's plug these into our volume formula.

V=\frac{1}3\times16\pi \times9

Use 3.14 to approximate pi as the question states. 16 × 3.14 = 50.24.

V\approx\frac{1}3\times50.24\times9

We could punch all of that into our calculator to get the same answer, but since 1/3 of 9 is clearly 3, let's just go with that.

V\approx3\times50.24

\boxed{V\approx150.72\ cm^3}
8 0
3 years ago
Read 2 more answers
Luke has two summer jobs. During the week he works in the grocery store, and on the
TiliK225 [7]

Hello! First, let's get some important information:

Luke works in the:

  • week → grocery store → $16/hour
  • weekend → nursery → $22/hour

Now, let's analyze the questions:

<h3>a) How much does he earn if he works 5 hours at the grocery store and 8 hours at the nursery? </h3>

To find the amount he will receive, you must multiply the amount of 1 hour by the number of hours worked. Look:

\mathrm{Grocery\:Store}\\\\\$16 \cdot 5 \:\mathrm{hours}= \$80\\\$22 \cdot 8\:\mathrm{hours}=\$176

<h3>b) How much does he earn if he works g hours at the grocery store and n hours at the nursery?</h3>

\$16 \cdot \mathrm{g} \:\mathrm{hours}= \$16\cdot\mathrm{g}\\\$22 \cdot \mathrm{n}\:\mathrm{hours}=\$22\cdot\mathrm{n}

<h3>c) Total pay, 5 hours at the grocery store and 8 hours at the nursery:</h3>

You'll just have to just add the value in each of the jobs:

$80 + $176 = $256

<h3>d) Total pay, g hours at the grocery store and n hours at the nursery:</h3>

Adding the values of each job:

$16g + $22n

Hope this helps!

8 0
3 years ago
Solve for x, in the picture below
MrRissso [65]
<h3>Given:</h3>

angle CED = 45°

angle EDC = x

angle DCE = 2x

<h3>To Find:</h3>

The value of x.

<h3>Angle Sum Property:</h3>

The sum of all the Interior Angles of a triangle is 180°.

<h3>Solution:</h3>

x + 2x + 45° = 180°

or, 3x = 180° - 45°

or, 3x = 135°

or, x = 135/3 = 45°

<h2>Answer:</h2>

The value of x is 45°.

8 0
4 years ago
Read 2 more answers
(2x^1/6 over 3y^4)^-3<br><br><br><br><br><br> It's past 2am and I would like to sleep a little bit.
Tanya [424]
Try wolfram alpha, the website.

wolframalpha.com
7 0
3 years ago
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