Answer: x < 360
Step-by-step explanation:
Let x be the total cost for the trip.
And, Here the total number of person = 4
Therefore, the cost for each person = x/4
And, According to the question, The cost must below $90 per person.
Therefore, x/4 < 90
⇒ x < 360
Which is the required inequality for the situation.
Answer:
x = 10
y = 50
Step-by-step explanation:
9x - 70 = x + 10
8x - 70 = 10
8x = 80
x = 10
3y - 60 = 90
3y = 150
y = 50
Answer:
Length of longer length=132 inches
Length of shorter length=33 inches
Step-by-step explanation:
Step 1: Determine total length of pipe
Total length of pipe=165 inches
Step 2: Derive expression for all the lengths
We can express all these lengths as follows;
L=l1+l2
where;
L=total length
l1=length of longer piece
l2=length of shorter piece
but;
length of longer piece=4×length of shorter piece
replacing;
l1=4l2
replacing;
L=165
l1=4×l2
165=l 2+4 l2
5 l2=165
l2=165/5
l2=33 inches
l1=length of longer length=33×4=132 inches
l2=length of shorter length=33 inches
Answer:
see below
Step-by-step explanation:
Let f = number of friends
all but one friend got 6 pieces and 1 friend got 2 for a total of 50 pieces
6(f-1) + 2 = 50
Subtract 2 from each side
6(f-1) +2-2 = 50-2
6(f-1) = 48
Divide by 6
6(f-1)/6 = 48/6
f-1 = 8
Add 1 to each side
f-1+1=8+1
f=9
Jack has 9 friends at the party
With Jack and his mom, there are 11 people
