Answer:
(2,4)
Step-by-step explanation:
The range is the y values
y = x+5
Let y=7
7 =x+5
Subtract 5
7-5 x+5-5
2=x
Let y= 9
Subtract 5
9-5 x+5-5
4=x
The domain is (2,4)
To solve this question, use the Cube surface area formula
Area = 6a^2 in which a = edge.
edge = 8.5
Area = 6(8.5)²
Simplify. Follow PEMDAS
Area = 6(72.25)
Area = 433.5
(C) 433.5 in² is your answer
hope this helps
9514 1404 393
Answer:
- 12 boxes
- 10 pencils, 9 notebooks
Step-by-step explanation:
a) The number of boxes will be the greatest common divisor (GCD) of the numbers 120 and 108. That number is 12.
120 = 12×10
108 = 12×9 . . . . 12 is the greatest common divisor
Matthew can make 12 boxes with equal numbers of the items.
__
b) 120 pencils divided by 12 will be 10 pencils per box.
108 notebooks divided by 12 will be 9 notebooks per box.
_____
<em>Additional comment</em>
It helps to be familiar with multiplication tables up to about 12×12.
The GCD can always be found using Euclid's algorithm. Look at the remainder when the larger number is divided by the smaller. If it is not zero, then replace the larger number with the remainder and repeat. If the remainder is zero, the divisor is the GCD.
Here, we have ...
120/108 = 1 r 12.
108/12 = 9 r 0 ⇒ 12 is the GCD
Answer:
64x⁶ - 216y³
Step-by-step explanation:
The formula for the volume of a cube is
Vol. = l³
For the large cube,
V =(4x²)³
V = 64x⁶
For the small cube,
v =(6y)³
v = 216y³
The difference in volume is
Diff. = 64x⁶ - 216y³
Answer:
Jillian bikes 3 miles each evening.
3
Step-by-step explanation:
3 (miles) × 5 (days) = 15 (Run)
3 (miles) × 5 (days) = 15 (Bike)
30 miles total
Hope this helps!!
Check:
She works out twice a day and goes three miles each time for five days.
Six miles per day
6 · 5 = 30
