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Papessa [141]
3 years ago
8

Use the substitution method to solve the system of equations. Choose the correct ordered pair. x+2y=12 y=x+3

Mathematics
2 answers:
laiz [17]3 years ago
7 0

Answer:

(2,5)

Step-by-step explanation:

x+2(x+3)=12

x+2x+6=12

3x+6=12

Subtract 6 from 6 and 12.

3x/3=6/3

x=2

Plug x into original equation.

y=2+3

y=5

JulijaS [17]3 years ago
3 0

Answer:(2,5)

Step-by-step explanation:

You might be interested in
What best describes the sequence 256,128,64,32
MissTica

Answer:

It's a geometric sequence.

Step-by-step explanation:

Note that the next term = the previous term multiplied by 0.5.

This is a geometric sequence  with first term 256 and common ratio 0.5.

The nth term =  256(0.5)^(n-1).

5 0
4 years ago
Find the common difference of the arithmetic sequence. 6,9.4,12.8,16.2
Blababa [14]

A sequence is said to be arithmetic if every couple of adjacent elements differ by the same number. If this is the case, that constant number is called the common difference.

This sequence is arithmetic, because the difference between every element and the previous one is

  • 9.4 - 6 = 3.4
  • 12.8 - 9.4 = 3.4
  • 16.2 - 12.8 = 3.4

So, the common differnece is 3.4, because every couple of adjacent terms differ by 3.4

8 0
4 years ago
What is the coeficient of a+3b
stiks02 [169]

Answer:

The coefficient is 3

Step-by-step explanation:

The definition of a coefficient is a numerical or constant quantity placed before and multiplying the variable in an algebraic expression (e.g. 4 in 4xy).

6 0
3 years ago
Suppose Wal-Mart stock is selling at $59 a share and Mattel stock is selling at $28 a share. Amy has a maximum of $6000 to inves
Ulleksa [173]

Answer:

88 shares of Wall-Mart stock,

a) Step-by-step explanation,  22 shares of Mattel stock. b) $192

Given:

Suppose Wall-Mart stock is selling at $59 a share and Mattel stock is selling at $28 a share.

Amy has a maximum of $6000 to invest.

She wishes to purchase four times as many shares of Wall-Mart as of Mattel.

Only whole shares of stock can be purchased.

Question asked:

a) How many shares of each will she purchase?

b) How much money will be left over?

Solution:

Selling price of each share of Wall-Mart stock = $59

Selling price of each share of  Mattel stock = $28

Let number of shares of Mattel stock purchased = x

Then, number of shares of Wall-Mart stock = 4x

Total money invested =$6000

<u>Shares of Mattel stock </u>\times<u> $28 + Shares of  Wall-Mart stock </u>\times<u> $59 = $6000</u>

28\times x+59\times4x=6000\\28x+236x=6000\\264x=6000

Dividing both sides by 264

x=22\frac{192}{264}

<em>That means, total 22 shares of Mattel stock is purchased and 192 is the money left over:-</em>

Number of shares of Wall-Mart stock = 4x = 4\times22=88

Total amount spent on Mattel stock shares = 22 \times $28 = $616

Total amount spent on Wall-mart stock shares = 88 \times $59 = $5192

Total amount spent on both shares = $616 + $5192 = $5808

Money left over = $6000 -  $5808 = $192

a) He will purchase 88 shares of Wall-Mart stock and 22 shares of Mattel stock.

b) Money left over is $192.

6 0
4 years ago
Simplify 4 + (-3) - 2 x (-6 )
sukhopar [10]
If you would like to simplify <span>4 + (-3) - 2 * (-6), you can do this using the following steps:

</span><span>4 + (-3) - 2 * (-6) = 4 - 3 + 2 * 6 = 1 + 12 = 13
</span>
The correct result would be 13.
7 0
3 years ago
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