Answer:
He made 5 2-pointers and 4 3-pointers
Step-by-step explanation:
Let x = number of 2-pointers he scored.
Let y = number of 3 pointers he scored.
The total number of shots he made is x + y, and it it equals 9.
The first equation is
x + y = 9
The total number of points he scored on 2-pointers is 2x. The total number of points he scored on 3-pointers is 3y. The total number of points he scored with 2-pointers and 3-pointers is 2x + 3y. It equals 22.
The second equation is
2x + 3y = 22
We have a system of 2 equations.
x + y = 9
2x + 3y = 22
We will use the substitution method.
Solve the first equation for x.
x = 9 - y
Now substitute 9 - y in for x in the second equation.
2x + 3y = 22
2(9 - y) + 3y = 22
18 - 2y + 3y = 22
y + 18 = 22
y = 4
Now we substitute 4 for y in the first equation and solve for x.
x + y = 9
x + 4 = 9
x = 5
Answer: He made 5 2-pointers and 4 3-pointers
Check:
5 2-pointers and 4 3-popinters are a total of 9 shots, so the number of shots is correct.
Now we check the number of points.
5 * 2 + 4 * 3 = 10 + 12 = 22
22 points is the correct total.
Our answer is correct.
Answer:
2(3x+x)=50...4x=25...width is 6/25 meter and length is 18/75
The two lines intersect at (-3,4)
-2/3X+2= -2X-2
Add 2X to both sides
Subtract 2 from both sides
Divide both sides by 4/3
You get X=-3
Plug in 3 to one of the equations and you’ll see that y= 4
Answer:
Riley rakes 1/4 of the lawns per hour.
Step-by-step explanation:
It is given that,
Riley rakes 1/6 of a lawn in 2/3 hour.
We need to find how many lawns can Riley rake per hour.
In 2/3 hour Riley rakes 1/6 of a lawn
In 1 hour Riley rakes 
= 1/4 of a lawn.
Hence, Riley rakes 1/4 of the lawns per hour.
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