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natta225 [31]
3 years ago
10

Write and solve an equation to find the value of x. Show your work.

Mathematics
1 answer:
brilliants [131]3 years ago
8 0

Answer:

x = 9

Step-by-step explanation:

(13x + 2) + (5x -7 ) + (3x-4) = 180°( sum of angles in a triangle)

13x + 2 + 5x - 7 + 3x - 4 = 180

13x + 5x +3x + 2 - 7 - 4 = 180

21x - 9 = 180

add 9 to both sides

21x - 9 + 9 = 180 + 9

21x = 189

Divide through by 21

x = 9

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In Andrew’s Furniture Shop, he builds bookshelves and tables. Each type of furniture takes him about the same time to make. He f
olasank [31]
Given:
Cost to build a bookshelf = $20
Cost to build a table = $45
Amount available to spend = $600

Let x =  number of bookshelves built.
Let y =  number of tables built.

The total number of bookshelves and tables =  18.
Therefore
x + y = 18.
 That is,
 y = 18 - x                    (1)

The total amount available to build x bookshelves and y tables = $600. Therefore
20x + 45y = 600
That is (dividing through by 5),
4x + 9y = 120            (2)

Substitute (1) into (2).
4x + 9(18 - x) = 120
4x + 162 - 9x = 120
-5x = -42
  x = 8.4
From (1),obtain
 y = 18 - 8.4 = 9.6

Because we cannot have fractional bookshelves and tables, we shall test values of x=8, 9 and y=9,10 for profit

Note: The profit is $60 per bookshelf and $100 per table.
If x = 8, then y = 18-8 = 10.
The profit = 8*60 + 10*100 =  $1480

If x = 9, then y = 18-9 = 9.
The profit = 9*60 + 9*100 = $1440

The choice of 8 bookshelves and 10 tables is more profitable.

Answer: 8 bookshelves and 10 tables.
5 0
3 years ago
Please help answer this question will give brainlst if your correct :)
charle [14.2K]

A line passes throught the origin (-1, 1) and (4, n). Find the value of n. enter the correct answer in the box. I'd say (4, -2)

If I'm wrong sorry. If I'm correct May I Have Brainliest? <3

6 0
3 years ago
Find the equivalent exponential expression.<br> [(-4)^3]^2
Karolina [17]

Answer:

4096

Step-by-step explanation:

<em><u>Simplify:</u></em>

=((−4)3)2

=((−4)3)*((−4)3)

=((−4)*(−4)*(−4))*((−4)*(−4)*(−4))

=(−4)*(−4)*(−4)*(−4)*(−4)*(−4)

=(−4)6

<em><u>Step by Step:</u></em>

<u><em>((−4)3)2 </em></u>

<u><em>=(−64)2 </em></u>

<u><em>=4096</em></u>

<u><em /></u>

Answer: 4096

<em><u>Hope this helps.</u></em>

4 0
3 years ago
Solve the quadratic equation 2x2 − 9x = 35 for x
Mrrafil [7]

Answer:


Step-by-step explanation:

66666666666

8 0
3 years ago
Read 2 more answers
1.)34°C=__°F<br>2.)94.6°F=__°C<br>3.)80°F=__°C<br>4.)42°C=__°F<br>5.)18°C=__°F​
Leto [7]

Answer:

Answer:

Step-by-step explanation:

1.)93.2F

2.)34.78°C

3.)26.67°C

4.)107.6°F

5.)64.4°F

I hope it's helpful!

6 0
2 years ago
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