Answer:
The laundromat and sandwich shop are at 2/5
The day care is 3.5 below that
Step-by-step explanation:
Graph the points just like that.
Let the running speed if Daniel be r mph, then his biking speed is (r+3) mph, because "His running speed is 3 mph slower than his biking speed. "
let the time it took Daniel to get to his friend's house be t hours, then the time it took him to go to his house, from his friend,s house is (2-t) hours , because "His total running and biking time is 2 hours."
the main formula we need to solve this problem is:
Distance=Speed*Time
Daniels biking speed, (r+3) , is Distance/Time=2/(2-t)
so (r+3)=2/(2-t)
we also have the equation 5=rt, because
"Daniel leaves school and runs 5 miles to his friend's house"
we substitute t, by 5/r in the previous equation:
(r+3)=2/(2-t)
(r+3)=2/(2-5/r)
(r+3)(2-5/r)=2
2r-5+6-15/r=2
2r-1-15/r=0
multiply by r:
2r^2-r-15=0
the expression in the left side can be factorized as (2r+5)(r-3), so the equation becomes:
(2r+5)(r-3)=0,
and the roots are r=-5/2, which is not possible in our problem,
and r=3
Daniel's biking speed is r+3=3+3=6 (mph)
Answer: 6 mph
Answer: 1 / 5 of the total distance.
Step-by-step explanation:
They traveled 7/10 of the distance on Saturday. This means that on Saturday, the fraction left was:
= 1 - 7/10
= 3/10 of the distance
On Sunday, they traveled 2/3 of this remaining distance. The fraction of the distance traveled is therefore:
= 2/3 * 3/10
= 6 / 30
= 1 / 5 of the total distance.
1. -6y
2. 4y+20
3. -6x+6y+4
4. 3x-44
5. •work:
•plug in 4 to the equation
5(2-4)=-10
10-20=-10
-10=-10
•so, yes it is a solution to 5(2-x)
6. •work:
4x+20=0
-20 -20
4x=-20
4x/4=-20/4
x=-5
7. •work:
5x-3=2x-27
-2x -2x
3x-3=-27
+3 +3
3x=-24
3x/3=-24/3
x=-8
8. •work:
6x-8=2x+16
-2x -2x
4x-8=16
+8 +8
4x=24
4x/4=24/4
x=6
9. •work:
12-3x=22+2x
-2x -2x
12-5x=22
-12 -12
-5x=10
-5x/-5=10/-5
x=-2
10. •work:
x+7x-12=-20
8x-12=-20
+12 +12
8x=-8
8x/8=-8/8
x=-1
11.•work:
7x+4-13x=-1+23
-6x+4=-1+23
-6x+4=22
-4 -4
-6x=18
-6x/-6=18/-6
x=3
here you go! hope this helped!! :)
Answer:
2x+3y=4
-2x+y=8
4y=12
y=3
2x+3y=4
2x+3(3)=4
2x+9=4
2x=-5
x=-2.5
(-2.5,3)
Step-by-step explanation:
2x+3y=4
-2x+y=8
4y=12
y=3
2x+3y=4
2x+3(3)=4
2x+9=4
2x=-5
x=-2.5
(-2.5,3)