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3 years ago

5

What is the solution to the system of equations? 5x + 4y = 8 x - 2y = 10

1 answer:

romanna [79]3 years ago

4 0

Double the second equation (multiply by 2)...
2(x-2y=10)
2x-4y=20

Bring in the second equation and add the equations:
(2x-4y=20)
+ (5x+4y=8)

7x=28
x=4

Plug in x into one of the equations to get y...
(4)-2y=10
-2y=6
y=-3

(6,-3)

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kogti [31]

Answer:

7.8

Step-by-step explanation:

Since the average is 7.8 and everyone scored the same score so

that means everyone scored a 7.8

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3 years ago

Arnold rides the subway 20 times a month to work for $2.50 a day a monthly pass cost $45.25. How much could he save by buying th

ozzi

Answer:

He would save $4.75.

Step-by-step explanation:

Without the pass,

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With the pass,

In a month, Arnold has to spend: $45.25

So, Arnold may save: $50 - $45.25 = $4.75 if he has a monthly pass.

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3 years ago

Read 2 more answers

After the drama club sold 100 tickets to a show, it had $300 in profit. After the next show, it had sold a total of 200 tickets

Alinara [238K]

Answer:

Option a : $y-300 = 4(x - 100)$

Step-by-step explanation:

Given :

The drama club sold 100 tickets to a show, it had $300 in profit.

The next show, it had sold a total of 200 tickets and had a total of $700 profit.

To Find : Equation models the total profit, y, based on the number of tickets sold, x

Solution :

For 100 tickets he had $300 in profit .

⇒ ( $x_{1} ,y_{1}$ )=(100,300)

For 200 tickets he had $700 in profit .

⇒ ( $x_{2} ,y_{2}$ )=(200,700)

We will use point slope form i.e.

$y-y_{1} = m(x - x_{1})$ --(A)

Now, to calculate m we will use slope formula :

$m = \frac{y_{2} -y_{1} }{x_{2}-x_{1} }$

$m = \frac{700 -300}{200-100}$

$m =4$

Now, putting values in (A)

$y-300 = 4(x - 100)$

Thus Option a is correct i.e. $y-300 = 4(x - 100)$

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3 years ago

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Set up and solve a proportion 6/100=s/12

rusak2 [61]

Amount of tax on the book (s) is $0.72

Step-by-step explanation:

Step 1: Given 6/100 = s/12
Step 2: Cross multiply to solve for s

⇒ 6 × 12 = 100 × s

⇒ 72 = 100s

⇒ s = 72/100 = 0.72

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3 years ago

Factor 2m^3-12m^2+18m completely

Nina [5.8K]

Answer:

The answer is A.

Step-by-step explanation:

Firstly, you have to take out the common terms for this expression. In this expression, the common terms ard 2 and m :

$2 {m}^{3} - 12 {m}^{2} + 18m$

$= 2( {m}^{3} - 6 {m}^{2} + 9m)$

$= 2m( {m}^{2} - 6m + 9)$

Next you have to factorise the brackets :

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$= {m}^{2} - 3m - 3m + 9$

$= m(m - 3) - 3(m - 3)$

$= (m - 3)(m - 3)$

$= {(m - 3)}^{2}$

So the final answer is :

$2m {(m - 2)}^{2}$

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3 years ago

Read 2 more answers