Answer:
Each balloon costs $1
Each banner costs $2
Step-by-step explanation:
First of all, let's write down the equation from this problem.
Let "y" be the cost of the ballon, and let "x" be the cost of a banner. Then the following is true from the question...
4y + 2x = 8
6y + x = 8
Now since both of them are equal to 8 both of them are equal to each other, and so we can get the following equation...
4y + 2x = 6y + x
2x - x = 6y - 4y
x = 2y
Now if we substitute 2y instead of x in one of the previous equations we will obtain...
6y + x = 8
6y + 2y = 8
8y = 8
y = 1
From the equation x = 2y we know that...
x = 2y
x = 2(1)
x = 2
Step-by-step explanation:
since the two lines are parallel to each other the slopes are equal
y =4x -8
m = 4(y = mx +c)
using the formula
y -y1 = m(x- x1)
y -10 = 4(x -(-2))
y -10 = 4(x +2)
y-10 =4x +8
y = 4x +8+10
y =4x +18(equation of the line)
Answer:375
Step-by-step explanation:W = RTN
1 = 1/7500(20)N
1 = 20/7500N
1 = 2/750N
750(1 = 2/750N)
750 = 2N
750/2 = N
375 = N
There are 375 men to do the job in 20 days
(8,9)
To find the midpoint of coordinates is adding all the X axis coordinates and dividing it by 2 (9+7 divided by 2=8)
Same goes for the Y axis (5+13 divided by 2= 9)
Answer:
Raul's claims are not correct
The equation of the graph is 
Step-by-step explanation:
Part a)
we know that
The fact that the data form a straight line does not imply that it is a proportional relationship. In order for it to be a proportional relationship, in addition to the fact that a straight line must be formed, it must pass through the origin.
In this problem the graph shows a proportional relationship because the data forms a straight line and passes through the origin (0,0)
therefore
The claim that the graph shows a proportional relationship because the data forms a straight line is not correct
Part B)
<u>Find the slope of the straight line</u>
Let
The formula to calculate the slope between two points is equal to
substitute the values
therefore
The claim that he reads 1.5 pages per minute is not correct
Part C)
The equation of the graph is equal to
