5x + 4y = 32 ⇒ 45x + 36y = 288
9x - 1y = 33 ⇒ <u>45x - 5y = 165</u>
<u>41y</u> = <u>123</u>
41 41
y = 3
5x + 4(3) = 32
5x + 12 = 32
<u> - 12 - 12</u>
<u>5x</u> = <u>20</u>
5 5
x = 4
(x, y) = (4, 3)
Since r = h, we can substitute that into the equation
<span>V = pi * r^2 * r = pi * r^3 </span>
<span>Since we know the volume, we can put that in too. </span>
<span>64 pi = pi * r^3 now let's divide both sides by pi. </span>
<span>64 pi/pi = pi * r^3/pi </span>
<span>64 = r^3 </span>
<span>cuberoot(64) = r </span>
<span>cuberoot (2^6 )=r </span>
<span>4 = r</span>
Answer:
125 boxes
Step-by-step explanation:
6,000/48 = 125
Answer:
4(9a-4)
Step-by-step explanation:
Answer:
140 toy cars
Step-by-step explanation:
The ratio of Ed's toy car to Pete's toy car is initially given as 5:2
Ed gave Pete a total number of 30 cars
Let x represent the greatest common factor that exists between both number
Number of Ed's car is represented as 5x
Number of Pete car is represented as 2x
Since they each have an equal number of cars which is 30 then we can solve for x as follows
5x-30=2x+30
Collect the like terms
5x-2x= 30+30
3x= 60
Divide both sides by the coefficient of x which is 3
3x/3=60/3
x=20
Ed's car is 5x, we substitute 20 for x
5(20)
= 100 cars
Pete car is 2x,we substitute 20 for x
2(20)
= 40 cars
Therefore, the total number of cars can be calculated as follows
= 100+40
= 140 toy cars
Hence they have 140 toy cars altogether
