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stiv31 [10]
3 years ago
5

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

Mathematics
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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Billy did a survey to answer the following question:
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

4 0
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,

In a month, Arnold has to spend: $2.50 x 20 = $50

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.

7 0
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)




5 0
3 years ago
Read 2 more answers
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

7 0
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 :

{m}^{2}  - 6m + 9

=  {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}

6 0
3 years ago
Read 2 more answers
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