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2 years ago

Evaluate the expression for the given value of x. 8x + 2 for x = 2 The solution is?

Mathematics

1 answer:

ratelena [41]2 years ago

4 0

Answer:

Step-by-step explanation:

If x = 2,

8x + 2

8 ( 2 ) + 2

= 18

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3 years ago

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2 years ago

A theater is selling tickets for a performance. Mr. Smith purchased 8 senior tickets and 5 child tickets for $136 for his friend

ICE Princess25 [194]

Answer:

The price of a senior ticket is $12.

Step-by-step explanation:

Given:

Mr. Smith purchased 8 senior tickets and 5 child tickets for $136. Mr. Jackson purchased 4 senior tickets and 6 child tickets for $96.

Now, to get what is the price of a senior ticket.

Let the senior ticket be $x$ and the child ticket be $y$ :

So, according to question

$8x+5y=136$ .........(1)

$4x+6y=96$ ...........(2)

Now, we have system of equations:

Multiplying the equation (2) by -2 we get:

$-8x-12y=-192$ .......(3)

Now, adding the equation (3) and (1) the variables and the numbers:

$-8x-12y+8x+5y=-192+136$

$-7y=-56$

Dividing both sides by -7 we get:

$y=8$

Putting the value of y in equation (2) we get:

$4x+6(8)=96$

$4x+48=96$

On solving the equation we get:

$x=12$ .

Therefore, the price of a senior ticket is $12.

4 0

3 years ago

Reasoning triangle $abc$ has a perimeter of $12$ units. the vertices of the triangle are $a(x,\ 2),\ b(2,-2)$ , and $c(-1,\ 2)$

OlgaM077 [116]

hmmm let's find the distance between B and C first off.

$~~~~~~~~~~~~\textit{distance between 2 points} \\\\ B(\stackrel{x_1}{2}~,~\stackrel{y_1}{-2})\qquad C(\stackrel{x_2}{-1}~,~\stackrel{y_2}{2})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ BC=\sqrt{(~~-1 - 2~~)^2 + (~~2 - (-2)~~)^2} \implies BC=\sqrt{(-1 -2)^2 + (2 +2)^2} \\\\\\ BC=\sqrt{( -3 )^2 + ( 4 )^2} \implies BC=\sqrt{ 9 + 16 } \implies BC=\sqrt{ 25 }\implies BC=5$

hmmm if BC is that much, then AB + AC = 7, since AB + AC + BC = 12 which is the perimeter, Check the picture below.

6 0

1 year ago