Answer:
18.75 ft
Step-by-step explanation:
The given scenario can be drawn as shown in the following attachment.
Given that,
and
Therefore,
ft
AB is the height of the house.
Use the formula d = rt
where d is the distance
r is the rate
t is the time
when you go pier A to B with the current of 2.5 mph
D = (r + 2.5) 2
D = 2r + 5
when you go back
D = ( r - 2.5) 6
D = 6 r - 15
so 2r + 5 = 6r - 15
r = 5 mph
d = 2r + 5
d = 2(5) + 5
d = 15 miles
Answer:
x = -1
y = 7
Step-by-step explanation:
We have a system of equations and are asked to solve using substitution.
y = -7x
2x - y = -9
Since we have an equation for y by itself, we can plug the first equation into the second.
2x - (-7x) = -9
Distribute :
(-(-7x))
2x + 7x = -9
Add like terms :
9x = -9
Divide 9 by both sides to get x :
x = -1
Now that we know x, we can plug it into the first equation to find y :
y = -7(-1)
y = 7
Answer:
They can seat <u>520</u> students.
Step-by-step explanation:
Given:
The night school auditorium is able to seat 8 elementary school groups of 65 students each.
Now, use the distributive property to determine the number of students they can seat.
Total number of elementary school groups = 8.
Number of students in each group = 65.
So, using the distributive property to get the number of students they can seat:
Therefore, they can seat 520 students.
Answer:
k = 79
Step-by-step explanation:
3(k-99) = -60
(k-99) = -20
k= -20+99
k=79