Answer:
3. 72= (x)+(x+1)+(x+2) where x= the smallest number
72=3x+3
-3 -3
69=3x
/3 /3
x=23
x+1=24
x+2=25
smallest is 23
4. 48= (x)+(x+2)+(x+4)
48= 3x+6
-6 -6
42=3x
/3 /3
x=14
x+2=16
x+4=18
smallest is 14
5. all erasers were the same cost
25= 4x+5 (x= cost of erasers)
-5 -5
20=4x
/4 /4
x=5
each cost $5
6. b= boxes
22= b/2 +7
-7 -7
15=b/2
multiply both sides by 2 to cancel the denominator
30=b
30 boxes originally
7. 40= total
8= left
2= balls given to each
x=number of friends
40= 2x+8
-8 -8
32=2x
/2 /2
x=16
she has 16 friends
8. 12= left
a= total allowance
12= (a/2) +4
-4 -4
8= a/2
multiply both sides by 2 to cancel the denominator
a= $16
she had an allowance of $16
9. 4 (2) = amount that her four children recieved
10=amount she took for herself
x= original
x= 4(2) + 10
x= 8 +10
x=18
she started with 18 candies
10. a= age
244= 400 - 2a
-400 -400
-156= -2a
/-2 /-2
a= 78
they are 78 years old
11. c= comic books
36= c/2 + 16
-16 -16
20=c/2
multiply both sides by 2 to cancel the denominator
c=40
she started with 40 comic books
12. b= students in buses
472= 9b + 4
-4 -4
468=9b
/9 /9
b= 52
52 students went in each bus
13. h= hats
17= h/2 +5
-5 -5
12=h/2
multiply both sides by 2 to cancel the denominator
h=24
she had 24 hats on monday
14. p= pies the club made
60= (p+4)/5
multiply both sides by 5 to cancel the denominator
300=p+4
-4 -4
p= 296
the club made 296 pies
Step-by-step explanation:
Answer:
company A since for 20 miles drive the rental is minus 20$ and in company B its more than 20. Evidently the same thing happens with 60 miles drive when in company A you have to pay 30$ and in company B 37$ Which is more expensive.
Answer:
She must pay $500 for the materials, and $14 per lawn, then:
We know that the total cost is (assuming that they work for 8 weeks, 6 days per week, and 3 times per day)
C = $500 + $14*(8*6*3) = $2,516.
The total revenue that she can make (with the same assumptions as before) is:
R = N*(8*6*3)
Where N is the amount she charges for each lawn that they mowed.
R = N*144
Now, we do not know how much she charges, so the value of N is unknown.
Now, the profit is equal to the difference between the revenue and the cost, this means that the profit is:
P = R - C = N*144 - ($2,516)
P(N) = N*144 - ($2,516)
If we have, for example, N = $20, the total profit will be:
P($20) = $20*144 - ($2,516) = $364
From the second equation we can find that d=43-(9/10)*n
we can put this equation into the first one,
So we have equation 60(43-(9/10)*n)+65n=2800
Solving that we get n=20
60d+65*20=2800
d=25
So the answer is d=25 and n=20
