Answer:
<em>The price is the same at both stores for 2 prints.</em>
Step-by-step explanation:
<u>Equations</u>
Let's set the variable
x = number of photo prints
Company Photo Plus charges $2 for each print and $6 for a processing fee, thus the total charges are:
PP = 6 + 2x
Company Picture Time charges $3 for each print and $4 for a processing fee, thus it charges a total of:
PT = 4 + 3x
It's required to find the number of prints that make both stores charge the same. Equating both functions:
6 + 2x = 4 + 3x
Subtracting 2x and 4:
x = 2
The price is the same at both stores for 2 prints.
Answer:
Gabe worked 65, Abe worked 62 and Babe worked 69.
Step-by-step explanation:
Let Gabe = x
Therefore, Abe worked: x-3 and Babe worked x+4
So,
x+(x-3)+(x+4)=196
3*x+1=196
3*x=195
x=65
Then,
x-3= 62
x+4=69
X=number looked for
we have this equation:
-52(x-14)=x+3
we solve this equation:
-52x+728=x+3
-52x-x=3-728
-53x=-725
x=-725/-53=725/53 ≈13,68
Solution: 725/53
To check:
the difference between 725/53 and 14=725/53 - 14=(725-742)/53=-17/53
-52 times the diference is= -52(-17/53)=884/53
The number plus 3=725/53 + 3=(725+159)/53=884/53
Answer:
Step-by-step explanation:
79+80+92+92+81+100+88+98+71+100+91+90
=1,062/12 = 88.5
Answer:
2 hours
Step-by-step explanation:
The relation between time, speed, and distance is ...
time = distance/speed
For a kayak speed of k miles per hour in still water, the speed upstream is (k-2) and the speed downstream is (k+2). Over the distances given, the times are the same, so we can write ...
10/(k-2) = 14/(k+2)
Multiplying by (k+2)(k-2) gives ...
10(k+2) = 14(k -2)
10k +20 = 14k -28 . . . . . eliminate parentheses
48 = 4k . . . . . . . . . . . . . . add 28-10k
12 = k
Then the time for 28 miles downstream is ...
time = 28 / (12 +2) = 2 . . . . hours
It will take the person 2 hours to kayak 28 miles downstream.