Answer:
21
Step-by-step explanation:
Divide the 6/7 of a gallon by 4
(6/7) ÷ 4
flip and multiply
(6/7) × (1/4) = 6/28
simplify
6/28 = 3/14 gallon for each kid
Answer:
Part 1) 
Part 2) 
Part 3) 
Part 4) 
Part 5) 
Step-by-step explanation:
Part 1) Write as a percent 0.00675
we know that
To write a number as a percent, multiply the number by 100
so

Part 2) Write as a percent 4 3/4
Convert mixed number to an improper fraction

we know that
To write a fraction as a percent, multiply the fraction by 100

Part 3) Write as a percent 2/25
we know that
To write a fraction as a percent, multiply the fraction by 100

Part 4) write as a fraction 335%
we know that

Simplify
Divide by 5 both numerator and denominator

Part 5) Write as a decimal 265%
we know that

Answer:
The first mechanic $90/hour and the second charged $70/hour
Step-by-step explanation:
Lets start off by letting x be the first mechanics rate and y being the second mechanics rate. We know that the first mechanic worked 5 hours and that the second mechanic worked 10 hours and together they charged 1150. An equation to express this would be:
5x+10y = 1150
We also know that together they charged 160/per hour. An equation to express this would be:
x+y = 160
Now we can solve the second equation for x or the first mechanics rate.
x+y = 160
x = 160 - y
Now that we have an expression for x we can plug that back into the first equation and solve for y or how much the second mechanic charged.
5x+10y=1150 plug in x =160-y
5(160-y)+10y=1150 Distribute
800 -5y+10y = 1150 Combine like terms
800 +5y = 1150 Subtract 800 from both sides
5y = 350 divide by 5
y = 70
So we know that the second mechanic charged $70/hour. We also know that(from our work before) that the first mechanic charges $160 - the rate the second mechanic charged. We know that's $70/hour so we can plug in and solve for the first rate.
x = 160-y
x = 160-70
x = 90
So we know that the first mechanic charged $90/hour and the second mechanic charged $70/hour.
Answer:
The probability of getting 3 successive 1's from spinning the spinner 3 times = 0.027
Step-by-step explanation:
The spinner has 4 sides, 1,2,3 and 4
The probability of landing on a 1 = P(1) = 0.3
The probability of landing on a 2 = P(2) = It isn't given
The probability of landing on a 3 = P(3) = x
The probability of landing on a 4 = P(4) = 0.1
If Denzil spins the spinner 3 times, what is the probability of getting 3 successive 1's?
Noting that each spin is independent from one another, the probability of getting 3 successive 1's from spinning the spinner 3 times is given as
P(1) × P(1) × P(1) = 0.3 × 0.3 × 0.3 = 0.027
Hope this Helps!!!