Step-by-step explanation:. The first says “I know that 10 is one-tenth of 100. I will therefore divide 50 by 10. The answer is 5”.
This is fine when the numbers are relatively simple. But suppose the numbers are more complicated.
What is 22% of 46?
Now it’s much less straightforward. You can’t just work out what 22% is, expressed as a fraction, and anyway, it’s not a simple fraction.
Instead, you have to divide 46 into 100 equal parts, and work out what 22 of them would be when added together.
So: 46 ÷ 100 = 0.46 [remember, when you divide by 100, you move the decimal point two places to the left].
0.46 × 22 = 10.12
Answer: 22% of 46 is 10.12.
Hope this helped :)
Answer:
Step-by-step explanation:
Another complex expression, let's simplify it step by step...
We'll start by re-writing 256 as 4^4
Then we'll extract the 4 from the cubic root. We will then subtract 3 from the exponent (4) to get to a simple 4 inside, and a 4 outside.
Now, we have x^10, so if we divide the exponent by the root factor, we get 10/3 = 3 1/3, which means we will extract x^9 that will become x^3 outside and x will remain inside.
For the y's we have y^7 inside the cubic root, that means the true exponent is y^(7/3)... so we can extract y^2 and 1 y will remain inside.
The answer is then:
Answer:
Step-by-step explanation:
Given integral:
Using <u>integration by parts</u>:
Therefore:
Therefore:
Divide both sides by 2:
Rewrite in the same format as the given integral:
Answer:
Option C is correct.
Step-by-step explanation:
Given the dimension of the surfaces i.e length, width and height of podium. we have to calculate the surface area of the victory podium.
As Surface area of cuboid is 2(LW+WH+HL)
In the given figure, the upper cuboid has dimension
L=2.5 ft. , W=1.5 ft, H=1.5 ft
The upper face is occuring twice therefore it must be subtracted to find the area
Dimensions of lower podium are
L=7.5 ft. , W=1.5 ft, H=1.5 ft
Now, Surface area of podium included bottom is
19.5+49.5-3.75=65.25 square feet.
Hence, option C is correct.
Answer:
exact form: n=-53/37
Step-by-step explanation:
isolate the variable by dividing each side by factors that don't contain the variable.