Answer:
18:12 (accurate)
3:2 (simplified)
Step-by-step explanation:
The team won 18 games out of 30 total games. Find the amount of games lost by simply subtracting 18 with 30:
30 - 18 = 12
The ratio you are trying to find is won to lost, or won:lost. Plug in the corresponding numbers to the corresponding terms:
won:lost ⇒ 18:12
18:12 is the ratio.
If the teacher asks you to simplify, factor both sides. Divide 6 from both sides:
(18)/6 : (12)/6
3:2
3:2 is your simplified ratio.
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Answer:
y = 2x +1
Step-by-step explanation:
y=kx+1
Substitute the point into the equation
3 = k(1) + 1
3 = k+1
Subtract 1 from each side
3-1 = k
2 = k
y = 2x +1
The slope is 2 and the y intercept is 1
Set up the following equations:


x represents car A's speed, and y represents car B's speed.
We'll use elimination to solve this system of equations. Multiply the first equation by 7:


Combine both equations:

Divide both sides by 28 to get x by itself:

The speed of car A is
80 mph.Since we now know the value of one of the variables, we can plug it into the first equation:


Subtract 160 from both sides.

Divide both sides by 2 to get y by itself:

The speed of car B is
60 mph.
He has 72 books......1/6 are romance
1/6 of 72...." of " means multiply
1/6 * 72 = 72/6 = 12....12 books are romance
Answer:
2 metre
Step-by-step explanation:
let the width around the field be x metre
then (16+2x)(10+2x)-16×10=120
160+32x+20x+4x²-160=120
4x²+52x-120=0
or x²+13x-30=0
x²+15x-2x-30=0
x(x+15)-2(x+15)=0
(x+15)(x-2)=0
either x+15=0,
x=-15 (Rejected being negative)
or x-2=0
x=2 metre