Total= $80
Each glue stick= $1.40
Each box of crowns= $0.59
30 gluesticks= 30x1.40= $42
32 boxes of crowns=
32x0.59= $18.88
42+18.88= $60.88
$80-$60.88= $19.12
Answer:
The parallel line has slope
The perpendicular line has slope
Step-by-step explanation:
Equation of a line:
The equation of a line has the following format:
In which m is the slope.
Parallel lines:
Parallel lines have the same slope.
Perpendicular lines:
If two lines are perpendicular, the multiplication of their slopes is -1.
In this question:
We have the following line:
Placing it in the general format
So this line has slope
Parallel line:
Same slope, so the parallel line has slope
Perpendicular line:
Multiplication of the slopes is -1. So
The perpendicular line has slope
Answer:
An equation where the two companies would be the same is given as:
25 + 3.50x = 17 + 7.50x
Step-by-step explanation:
Let the number of trophies ordered be represented by x
Maria is ordering trophies for school. Company Christopher charges $3.50 for each trophy and a one-time engraving fee of $25.
$25 + $3.50 × x
25 + 3.50x
Company Asya charges $7.50 for each trophy and a one-time engraving fee of $17
$17 + $7.50× x
17 + 7.50x
An equation where the two companies would be the same is given as:
Company Christopher = Company Asya
25 + 3.50x = 17 + 7.50x
Simplifying further:
Collect like terms
25 - 17 = 7.50x - 3.50x
8 = 4.00x
x = 8/4
x = 4
Hence, the two companies would be the same after 4 trophies.
Answer:
C. 79%
Step-by-step explanation:
The probability of the pebble inside the circle will depend on the area of the circle. I assume that the circle is inside the square surface and has the diameter(d) the same as the square side(s). If the radius equal to half diameter, the area for the circle will be:
circle area = pi * r * r
circle area= 3.14 * (0.5d) * (0.5d)
circle area=0.785 d^2= 0.785 s^2
The total area where the stone can land is equal to the square area. The area of the square is:
square area= side * side= s^2
Then the chance for the pebble land on the circle is:
circle area/ square area= 0.785 s^2 / s^2= 0.785= 79%
I believe it would be 2.8125 touchdowns per game.