Answer:
The coefficient of y is -2
Step-by-step explanation:
x + 2y=-6
- 2y -2y Subtract 3y from both sides
x = -2y - 6 This equation is solved for x
The coefficient of y is -2
Answer:
The first term indicates that the 14 student council members each handed out 22 flyers per additional minute of the fair. The second term indicates that the 14 members each handed out 25 flyers during the first minute of the fair.
Step-by-step explanation:
Given : The expression below represents the number of flyers handed out at the school fair by 14 members of the student council, where x is the number of minutes after the first minute of the fair. Assume that each student council member handed out the same number of flyers throughout the fair.
Expression : 14(22x) + 350
To Find: Interpret the meaning of each term in the expression.
Solution:
14 denotes the number of members
x is the number of minutes after the first minute of the fair
22 denotes each handed out 22 flyers per additional minute of the fair.
denotes each handed out 25 flyers during the first minute of the fair.
So, option A is true .
The first term indicates that the 14 student council members each handed out 22 flyers per additional minute of the fair. The second term indicates that the 14 members each handed out 25 flyers during the first minute of the fair.
Both sides need to equal 180 (The side with the 90 degrees measurement and the side with equations). So first subtract 180 from 90

to get the measurement of 5x and you get 90 but we aren't done yet since we need to find x so now we need to divide 5 by 90

and we get 18 which is X.

Now we need to find the measurement of Y. Now both angles on that side together equals 180 so we need this equation.

First, distribute 5(y + 11)

Then you get this equation :

Now, add the two equations together

and you get this equation

Now subtract 45 from both sides

and divide by 9 on both sides

and you get your answer

So

and
Step 1
<u>Find the slope of the given line</u>
we have

Isolate the variable y
Subtract
both sides


Divide by
both sides

the slope of the given line is

Step 2
Find the equation of the line that passes through the point
and is parallel to the given line
we know that
if two lines are parallel, then their slopes are equal
The equation of the line into point-slope form is equal to

we have

substitute in the equation


or 
therefore
<u>the answer is</u>
or

Answer:
26 candy bars and 12 sodas
Step-by-step explanation:
This problem can be solved by a simple system of equations
I am going to call x the number of candy bars that Sally bought and y the number of sodas that Sally bought.
The fact that she bought 38 itens means the x + y = 38.
She spent $50.38. The value she spent is the sum of the number of candy bars multplied by the value of the candy bar and the number of sodas multiplied by value of a soda. So 1.25x + 1.49y = 50.38
So we have to solve the following system:
1)x + y = 38
2)1.25x + 1.49y = 50.38
From 1), we have that x = 38 - y. I am going to replace it in 2)
1.25(38-y) + 1.49y = 50.38
-1.25y + 1.49y = 50.38 - 47.5
0.24y = 2.88
y = 12.
Sally bought 12 sodas.
In 1: x = 38-y = 38-12 = 26
Sally bourght 26 candy bars