Answer:
Step-by-step explanation:
You can readily see from the diagram, above, that the side length of the middle cube will be between 3 and 4. You want to determine to the nearest hundredth what value between 3 and 4 represents the side length of the cube whose volume is 45 units^3.
Please note: the middle cube has been mislabeled. Instead of volume = 30 units^3, the volume should be 45 units^3.
Here's the procedure:
Guess an appropriate s value. Let's try s = side length = 3.5
Cube this: (3.5 units)^3 = 42.875. Too small. Choose a larger possible side length, such as 3.7: 3.7^3 = 50.653. Too large.
Try s = 3.6: 3.6^3 = 46.66. Too large.
Choose a smaller s, one between 3.5 and 3.6: 3.55^3 = 44.73. This is the best estimate yet for s. Continue this work just a little further. Try s = 3.57. Cube it. How close is the result to 45 cubic units?
Answer:
$11.50 is the cost for 2 pounds of walnuts
Expression: 7p - 2.50
Step-by-step explanation:
First, create an expression to represent the cost:
7p will represent the cost, since the walnuts are $7 per pound, and 2.50 needs to be subtracted from this because of the coupon for $2.50 off
So, the expression is 7p - 2.50
Use this expression to find the price for 2 pounds of walnuts:
7p - 2.50
7(2) - 2.50
14 - 2.50
= 11.50
So, the cost with the coupon will be $11.50
Answer:
1920π
Step-by-step explanation:
First, you need to find the volume of the statue in terms of pi.
Volume of cylinder formula:
V=πr²h
V=π4²15
V=π16×15
V=240π
Then, you need to find the mass of the statue.
Mass:
Mass= density × volume
Mass=20×240π
Mass=4800π
Now, you need to find the volume. Since the sand has to weigh the same as the statue, the mass is going to stay the same. To find the volume you need to do:
V=mass of sand/density
V=4800π/2.5
That gives you your answer:
1920π
Note: I had to do the exact same problem on Khan Academy. This is right.
252 divided by 9 is 28
Firstly, I muplity 20 and 9.
I have 180.
Then I also muplity 8 and 9.
I got 72.
Then I add 72 and 180 which got me 252.
(I hope this helped!)
Answer:
S = E - 3
Sue is 53 inches tall.
Step-by-step explanation:
Let Sue's age be represented by S and Ed's by E
Equation:
S = E - 3
E = 56 inches
S = 56 - 3 = 53 inches
