Answer:
23, 32, 69
Step-by-step explanation:
3 numbers x, y, z
z = 3x
y = x + 9
x+y+z=124
x + (x + 9) + 3x = 124
5x + 9 = 124
5x = 115
x = 23
y = 32
z = 69
check: 23 + 32 + 69 = 124
Answer:
Number of small candles = 12
Number of large candles = 16
Step-by-step explanation:
Total candles = 28
x + y = 28 ---------------(I)
Cost of 'x' small candles = 4 *x = 4x
Cost of 'y' large candles = 6 *y = 6y
Total amount = $144
4x + 6y = 144 -------------(II)
Multiply equation (I) by (-4) and then add the equation. So, x will be eliminated and we can find the value of 'y'
(I) * (-4) -4x - 4y = -112
(II) <u> 4x + 6y = 144</u> {Now, add}
2y = 32
y = 32/2
y = 16
Plug in y = 16 in equation (I)
x + 16 = 28
x = 28 - 16
x = 12
Answer:
there would be 21 girls and 14 boys
Step-by-step explanation:
I split the kids down in half and then added seven to the girls and when added up 21+14=35 and that’s is 7 more girls then boys
Answer: He needs 9 hours to finish the task.
Step-by-step explanation:
Hi, first we have to subtract the gallons of water already in the tank (75) to the total capacity of the tank (300).
300-75 = 225
He needs to fill 225 gallons.
Since the pump Ross uses can fill 25 gallons of water per hour, the proportion is :
25 g / 1h
For 225 gallons:
225 g / x hours
Solving for x
25/1 = 225/x
x= 225/ (25/1)
x = 9 hours
Answer:
a. 3/5 liters per hour
b .06 hours
Step-by-step explanation:
Change 40 minutes to a fraction of an hour
40 minutes/ 60 minutes = 2/3 hour
It takes 1 2/3 hours to fill the container
Changing to an improper fraction
(3*1+2)/3 = 5/3 hours
We want liters per hour
1 liter per 5/3 hours
1 ÷ 5/3
Copy dot flip
1 * 3/5 = 3/5 liters per hour
Change 100 ml to liters
We know 1000 ml = 1 lt
100 ml * 1 lt/1000 ml = .1 lt
So 100 ml = .1 lts
.1 lt * 3/5 lt per hour
Changing the fraction to a decimal
.1 lt * .6 lt per hour
.06 hours