Answer:
61/18
Step-by-step explanation:
Make the mixed fraction an improper fraction first. So instead of 1 1/3, it'll be 4/3.
Now in a rectangular prism, there's two of each congruent sides (three pairs in total).
You'll need to multiply (4/3)(3/4) by 2 because there's two of them.
This gives you (1)(2) which equals 2.
Next, take another set --> (4/3)(1/3)(2) again because there's two of them.
This gives you (4/9)(2) which equals 8/9.
Last, take the last set --> (3/4)(1/3)(2)
This gives you (1/4)(2) which equals 1/2.
Now that you have all the areas of the rectangles, add them all together.
2+8/9+1/2 which equals 61/18 inches squared.
Answer: D
Step-by-step explanation:
y= -4x
y = mx + b
m = -4
If you start on (0, 0), you'd go down 4 and to the right one, so then you'd have another point at (1, -4).
Answer:
Assuming each car has the same mass, 694 grams.
Step-by-step explanation:
3470 ÷ 5 = 694
Let x and y be the rate per hour for Mechanic 1 and 2 respectively.
Then,
x+y=205 ---------- (1)
Additionally,
10x+15y = 2500 ------ (2)
Solving equations 1 and 2;
Multiply (1) by 10 and subtract two from the result,
10x+10y = 2050
10x +15 y =2500
----------------------
-5 y = --450 => y = 450/5 = $90
Then,
x= 205-90 = $115
Therefore,
Mechanic 1 charged $115 per hour
Mechanic 2 charged $90 per hour
