Equation 1: x + y = 40 ; therefore y = 40 - x
Equation 2: 25x + 15y = 900
Find x first:
25x + 15 (40 - x) = 900
25x + 600 - 15x = 900
10x = 900 - 600
x = 300÷10
x = 30 hours Chris needs to spend for tutoring job
y = 40 - 30
y = 10 hours Chris needs to spend for referencing job
Smith's balloon is an algebraic expression
The expression that represents how many Balloons Smith has is p + 20
<h3>How to determine the number of ballons?</h3>
The given parameters are:
Small = p
Big = 20
Add the number of small and big ballons to get the total number of ballons
Total = Small + Big
This gives
Total = p + 20
Hence, the expression that represents how many Balloons Smith has is p + 20
Read more about expressions at:
brainly.com/question/723406
Answer:
1520 yards
Step-by-step explanation:
Explanation:
Remember that
1
mile is
1760
yards, so
2
miles is
1760
⋅
2
, or
3520
yards.
If she has walked the track
5
times, then the total distance she has walked is
400
⋅
5
, or
2000
yards.
Do
3520 yards (
2 miles) minus
2000
yards, the distance Keisha has already walked.
3520 − 2000 = 1520
A parallel line has the same slope as the original line. So in this case the slope of the line is also 3/4. Now how do we know if it intersects the point? We need to adjust the y intercept.
Currently, we know the equation of the line is y= 3/4 x + b, where b is the thing we are looking for. We also have a point, which supplies the x and y. Plug that in and solve for b
-2 = (3/4)*(12) + b
You'll get b= -11
So the equation of the parallel line intersecting the point given is y= 3/4x -11.
I am assuming that the slope is 3/4 based on the way you formatted the original equation, but it's the same steps if the slope is different.
