Answer:
483 with a remainder of 3
Step-by-step explanation:
4 8 3
---------------------------------
6 5 | 3 1 3 9 8
2 6 0
------------------
5 3 9
5 2 0
---------------------
1 9 8
1 9 5
------------------------------
3
Hope I explain myself :/
Answer:
x=2
Step-by-step explanation:
logx (2x)^3 = 6
We can rewrite without the exponent
3 logx (2x) = 6
Divide by 3
3/3 logx (2x) = 6/3
logx (2x) = 2
Raise each side to the base x
x^ logx (2x) =x^ 2
2x = x^2
Subtract 2x from each side
2x-2x = x^2 -2x
0 = x^2 -2x
Factor an x
0 = x(x-2)
Using the zero product property
x =0 x-2 =0
x =0 x=2
We cannot have a base of 0, so x cannot equal 0
x=2
The volume of a rectangular prism is its length times width times height, or algebraically,
. You may be used to computing volume with numbers, but remember, a variable is a stand-in for a number. So you can solve this in the same way. Substitute
into the formula for volume. You get
, and you multiply these factors together. As you would with ordinary fractions, multiply the numerators and denominators across. You get
. It seems that the book wants you to simplify by bringing the 6 up to the denominator. Recall the rule
, if n is non-negative. The opposite applies so that
. For your final answer, you write
. This corresponds to
answer choice B.
Answer:
e= 10h+5
Step-by-step explanation:
h is no of hours
e is earnings
Length of the aquarium is 35 yd
Step-by-step explanation:
- Step 1: Volume of the aquarium = 210 yd³ given by Volume = length × width × height. Width = 3 yd and Height = 2 yd
Length = Volume/Width × Height
= 210/3 × 2 = 210/6
= 35 yd
