Taking logarithms, you get
Answer:
The mechanic who worked 5 hours charged $115 per hour, the one who worked 15 hours charged $120 per hour.
Step-by-step explanation:
x = rate of mechanic who worked 5 hours
y = rate of mechanic who worked 15 hours
Then
x + y = 235
5x + 15y = 2375
Just solve these 2 equations above for x and y.
x + y = 235 ⇒ x = 235 - y
Substitute into second equation to find y.
5(235 - y) + 15y = 2375
1175 - 5y + 15y = 2375
10y = 1200
y = 1200/10 = 120
x = 235 - y = 235 - 120 = 115
60/48
Both can be reduced by 12 to 5/4
So you can have 12 groups with 5 6th graders and 4 7th graders
Answer:
Step-by-step explanation:
Solve for x=0 and x=1
y(0)=2(3^0)=2(1)=2 so (0,2) is a point.
y(1)=2(3^1)=2(3)=6 so (1,6) is a point.
Only graph B has those two points.
Answer:
The correct answer is C.
Step-by-step explanation:
Since the Cosmic Pool company's pool's length is 8ft longer than the width, you can immediately rule out choices A and B, since their <em>widths</em> are greater than their <em>lengths</em> by 8, and not vice versa. This leaves choices C and D. The perimeter of a quadrilateral's formula is 
, which means the length plus the width and multiplied by 2. Using this formula, you can infer that the perimeter is 
= 
= 64ft, so choice C is the correct answer.
