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My name is Ann [436]
3 years ago
13

2x+8y=54 x+9y=67 Solve the system by subtitution

Mathematics
1 answer:
Kisachek [45]3 years ago
3 0

Step-by-step explanation:

2x +8y = 54

x + 9y = 67

x = 67 - 9y

2(67-9y) + 8y = 54

434 - 18y + 8y = 54

434 - 10y = 54

10y = 54 - 434

10y = -380

y = -38

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What is the approximate side length of each square
alexandr1967 [171]

Answer: 9\ units

Step-by-step explanation:

You need to use the following formula for calculate the area of a square:

A=s^2

Where "s" is the lenght of any side of the square.

You know that the area of a mural is 81\ units^2. Then, you can substitute this area into the formula and solve for "s", in order to find the side lenght of the mural.

Therefore, this is:

81\ units^2=s^2\\\\s=\sqrt{(81\ units^2)}\\\\s=9\ units

8 0
2 years ago
Solve for c: 2a+3b=c
maksim [4K]

Answer:

this is the most that you can factor it... is there anything more to the q?

7 0
3 years ago
What is the area of the label on the box of oatmeal with a radius of 9.3 centimeters and a height of 16.5 centimeters? Round to
solong [7]
Area means to multiply, so 9.3x16.5=153.4 cm.
5 0
3 years ago
to arrive at 2000 liters of 60% saline solution the attendant has to mix a 90% and a 40% saline solution. How many liters of eac
CaHeK987 [17]

Answer:

<u>800 liters</u> of 90% saline solution and <u>1200 liters</u> of 40% saline solution should be used.

Step-by-step explanation:

Given:

At 2000 liters of 60% saline solution the attendant has to mix a 90% and a 40% saline solution.

Now, to find the number of liters of saline solution each should be used.

<u><em>Let the liters of 90% saline solution mix be </em></u>x.<u><em /></u>

<u><em>And let the liters of 40% saline solution mix be</em></u> y.

So, the total number of liters:

x+y=2000.

y=2000-x\ \ \ ....(1)

Now, the total percentage of saline solution:

90\%\ of\ x+40\%\ of\ y=60\%\ of\ 2000

\frac{90}{100}\times x+\frac{40}{100}\times y=\frac{60}{100}\times 2000

0.9x+0.4y=1200

Substituting the value of y from equation (1) we get:

0.9x+0.4(2000-x)=1200

0.9x+800-0.4x=1200

0.5x+800=1200

Subtracting both sides by 800 we get:

0.5x=400

Dividing both sides by 0.5 we get:

x=800.

<u>The liters of 90% saline solution mix = 800.</u>

Now, substituting the value of x in equation (1) to get the liters of 40% saline solution:

y=2000-x

y=2000-800

y=1200.

<u>Thus, the liters of 40% saline solution = 1200.</u>

Therefore, 800 liters of 90% saline solution and 1200 liters of 40% saline solution should be used.

8 0
3 years ago
What is the height, in centimeters, of a rectangular prism that is 80 centimeters wide, 40 centimeters long, and has a volume of
Rainbow [258]

Answer:

The answer to your question is the letter E. 50

Step-by-step explanation:

Data

height = ?

Width = 80 cm

Length = 40 cm

Volume = 160000 cm³

Formula

Volume of a rectangular prism = Width x length x height

Substitution

                          160000 = 80 x 40 x height

Solve for height

                           height = 160000 / 80 x 40

Simplification

                           height = 160000/ 3200

Result

                           height = 50 cm              

4 0
2 years ago
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