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WARRIOR [948]
3 years ago
7

How do you solve 5x-2y= 18 and -5x+3y= -22 by solving a system of linear equations by elimination? Please add the steps in which

you have found out the answer:)
Mathematics
1 answer:
MaRussiya [10]3 years ago
3 0
Write the 2 equations:

5x-2y=18
-5x+3y=-22

You can see that the coefficients of x are opposites, so you can add them(the 2 equations) to eliminate x.

Adding them, you get:

y=-3

So now that you know y, you can substitute the value of y into one of the original equations. Let's substitute it in the first one:

5x+6=18

Solving this, we get:

5x=12
x=12/5

x=12/5, y=-3
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aleksklad [387]

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Step-by-step explanation:

4 0
2 years ago
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What goes up and down without moving?<br> Whoever answers first gets brainliest.
pav-90 [236]

Answer: temperature and weight

Step-by-step explanation: Temperature can increase or decrease/can go up and down without moving. The same goes with weight, it can go up or down without moving.

4 0
3 years ago
How much energy in joules can the solar panel produce each day if solar cells were 100% efficient and generate 1000 watts of pow
notsponge [240]

Answer:

The solar panel produce 6.48 × 10⁶ J of energy each day.

Step-by-step explanation:

If the solar cells were 100% efficient and generate 1000 watts of power per square meter

The power generated per square meter will be

\frac{100}{100} \times 1000 watts/m^{2}

= 1000 watts/m²

This is the power that would be generated per square meter if the solar cells were 100% efficient.

Now, for a 1 square meter panel of solar cells with an efficiency of 30%, the power generated will be

\frac{30}{100} \times 1000 watts/m^{2} \times 1m^{2}

= 300 watts

This is the power that would be generated by a 1 square meter panel of solar cells with an efficiency of 30%

Now, to determine the energy in joules (J) that the solar panel produce each day

We can determine the energy from the formula

Energy = Power × time

From the question, the solar cells receives the equivalent of 6 hours of direct sunlight per day, that is

Time = (6 × 60 × 60) secs = 21600 secs

Hence,

Energy = 300 watts × 21600 secs

Energy = 6480000 Joules

Energy = 6.48 × 10⁶ J

8 0
3 years ago
Read 2 more answers
Tom wants to buy some protein bars and magazines for a trip he has decided to buy three times as many protein bars with magazine
kumpel [21]

Answer:12 Protein bar and 3 magazines

Step-by-step explanation:

Given

Tom purchases Protein bars 3 times as much as magazine

Each bar cost  \$ 0.7

Each magazine costs \$ 2.50

Sales tax is 6.5 %

suppose Tom buy x magazines so

Price of magazine is 2.5 x

Price of bars is 3\times 0.7x=2.1 x

Total Price=2.5 x+2.1 x=4.6 x

After sales tax =4.6x(1+0.065)=4.899 x

This must be less than \$ 20

so 4.899x < 20

x< 4.082

thus x=4

so he but 4 magazines and 12 protein bars

3 0
3 years ago
A cone shaped building has a height of 11.4 meters and a base with a diameter of 12 meters . The building will be filled with ro
Vlad1618 [11]

Answer:

The answer to your question is  $ 8591.04

Step-by-step explanation:

Data

height = 11.4 m

diameter = 12 m

cost = $20/ft³

Process

1.- Calculate the volume of the cone

Formula

Volume = 1/3 πr²h

Substitution

Volume = 1/3 (3.14)(12/2)²(11.4)

Simplification

Volume = 1/3(1288.66)

Volume = 429.55 m³

2.- Calculate the cost

                $20 ----------------- 1 m³

                   x   ----------------- 429.55 m³

                   x = (429.55 x 20)/ 1

                   x = $ 8591.04

8 0
3 years ago
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