You're asking
(10⁶) times (10^p) = 10¹⁸ .
When you multiply two numbers that have the same base
but different exponents, you just add the exponents.
So 6 + p = 18
Subtract 6 from each side: p = 12 .
10⁶ x 10¹² = 10¹⁸ .
Volume of the sheet cake:
V ( prism ) = 12 * 9 * 2 = 216 in³
Volume of the birthday cake:
V ( cylinder ) = r² * π * h = 4.5² * 3.14 * 4 = 254.34 in³
Then we will use the proportion :
216 : 254.34 = 36000 : x
216 x = 254.34 * 3600
216 x = 915,660
x = 915.660 : 216
x = 4,239.17 ≈ 4,240
Answer:
d. 4,240
Answer:
For 3x + 5y = -13 the answer is x= -13/3 + 5y/3
and for 2x + 15y=3 the answer x= 1.5 + (-15y/2)
Step-by-step:
For 3x+5y=-13 you have to add 5y on both sides. Then you have to divide by 3 on both sides and cancel out the common factor of 3. Then you would get x= 13/3 + 5y/3.
For 2x + 15y=3 you have to subtract 15y on both sides of the equation. You should have 2x=3 + (-15y). Then divide by 2 on both sides. 3 divided by 2 is 1.5 and -15y divided by 2 is -15y/2 since 2 doesn't have the same variable. so the answer should be x= 1.5 + (-15y/2).