Answer:
blank = 4a
Step-by-step explanation:
If g(t) = 2/(t + 3)
then g(4a) = 2/(4a+3)
Absolute value- the amount a number is away from zero. With this information, we can conclude,
|-12| = 12
|-15| = 15
9514 1404 393
Answer:
d > -4
Step-by-step explanation:
Divide both sides of the inequality by -6. That requires the sense of the comparison to be reversed.
(-6d)/(-6) > (24)/(-6)
d > -4
Step-by-step answer:
If there are 40% students that are girls , and the rest are 250 boys. Then that must mean there are 60% boys. Because that is the compliment.
i)
Because we know that 60% of the people in the group are boys, and that the amount of boys amounts to 250, we can model an equation like this.
.


There are 417 students
ii)
Because we know that the total amount is 417, we can find the amount of girls there are by multiplying the total by the percentage.

There are 167 students that are girls.
Answer:
77.14 minutes.
Step-by-step explanation:
Jack's time = 3 hours
Jill's time = 2.25 hours = 2 1/4 = 9/4 hours
Combined time = x
Rates :
Jack = 1/3 ; jill = 1 / 2.25 = 1 / 9/4 = 4 /9
Combined rate = 1/x
Setting up the equation :
1/3 + 4/9 = 1/x
Lcm of 3 and 9 = 9
(3 + 4) / 9 = 1/x
7/9 = 1/x
Cross multiply :
7x = 9
x = 9/7 hours
x = (9/7)* 60
x = 77.14 minutes
Combined time = 77.14 minutes.