First, solve for the volume (V) of each cylinder by the equation,
V = πd²h / 4
where d and h are diameter and height, respectively. Substituting the given values,
V = π(6.19 cm)² x (6 cm) / 4 = 180.56 cm³
To determine the number of cylinders needed, divide the volume of the solid block by the volume of the cylinder,
n = 360 cm³ / 180.56 cm³ = 1.99
Thus, approximately 2 cylinders are needed to mold one block of gold.
Step 1:
The variable is the number of weeks needed to equalize Alexa and her sisters savings.
Step 2:
7x + 60 = 5x + 120
Step 3:
7x+60=5x+120
Subtract 60 from both sides.
7x+(60-60)=5x+(120-60)
7x=5x+60
Subtract 5x from both sides
7x-5x=5x+60-5x
2x=60
Divide both sides by 2.
2x/2 = 60/2
x=30
Step 4:
7(30) + 60 = 5(30)+ 120
210+60=150+120
270 = 270
Step 5:
To find the unknown amount of weeks, you need to rewrite the equation isolate x on the left-hand side of the equation. I just subtracting/simplified the equation until I could solve it.
(tbh got stuck on this one)
There are 60 minutes in 1 hour
and 186 divided by 60 = 3 remainder 6
which means you have 3 hours and 6 minutes
that will get you the mixed fraction of
3 6/60 which can be simplified to
3 1/10
2.36 g = 0.0236 hg
I hope this helped you.
Have a great day!
The appropriate choice is ...
B. 1/7, 3/4, 5, 7
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Only the magnitude of the vertical scale factor affects the apparent width of the graph. The higher its value, the narrower the graph appears to be.
