Answer:
41.02 meters.
Step-by-step explanation:
See the attached diagram.
The distance between the goals of a soccer field is 52 meters. Each goal has a box that extends 5.49 meters into the field.
If the distance from the front of the box at one end of the field to the front of the box at the other end of the field is x meters, then we can write the equation as
5.49 + x + 5.49 = 52
⇒ x + 10.98 = 52
⇒ x = 41.02 meters. (Answer)
M=men
w=women
m+1500=w
m+1500+m=9400
2m+1500=9400
2m=9400-1500
2m=7900
m=7900/2
m=3950
w=3950+1500
w=5450
y=x+14 line 1
y=3x+2 line 2
These are both the equation of lines written in slope intercept form
y=mx+b where m is the slope and the point (0,b) is the y intercept.
The first line has a slope of m=1. The 2nd line has a slope of m=3
Since these lines have different slopes, they are not parallel, thus they will cross at some point. What you have to determine is where the lines cross, which will be a point (x,y) that is on both lines.
We already have y solved in terms of x from either equation so we can use substitution to solve the system.
Since y=x+14 from line 1, put x+14 in place of y in the equation of line 2.
x+14=3x+2
solve for x.
Subtract x from both sides...
14= 3x-x+2
14=2x+2
subtract 2 from both sides
14-2=2x
12=2x
divide both sides by 2
6=x
We now have the x value of the common point. Plug the value 6 in for x in one of the original equations and solve for y.
y=6+14
y=20
These two lines cross at the point (6,20) which is a point the two lines have in common.
Hope I helped (SharkieOwO)
Answer:
9 hours
Step-by-step explanation:
$247/13hours=$19 per hour
$171/$19=9 hours
Answer:
1.5 centimeter
Step-by-step explanation:
1 mm = 0.1 cm
