4. (168/54=3.1111111) So there wouldn't be enough room for all on 3, so you would have to take 4.
The least common denominator is 420
<h3>How to find the least common denominator?</h3>
The expressions are given as:
11/70 and 7/60
Factorize the denominator of the fractions.
So, we have
70 = 7 * 10
60 = 6 * 10
Multiply the factors
LCD = 6 * 7 * 10
Evaluate
LCD = 420
Hence, the least common denominator is 420
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Answer: 682
Also, each rectangle’s width is half its height. It can be expressed as
w= 1/2h<span>
The first rectangle is 32cm tall. Then the measurement would be
h=32
w= 1/2h= 16
</span>The first rectangle is 32cm tall and e<span>ach rectangle is half as tall as the previous one. That can be expressed as
h(n)= 32(1/2)^n-1
The area of rectangle is
area(n)= h*w
area(n)=h*</span> (1/2h)= 1/2h ^2
area(n)= 1/2 {32(1/2)^n-1}^2<span>
area(n)= 512(1/2)^2n-2
Then the sum of the 5 rectangle would be:
</span>area(1) + area(2) + area(3) + area(4)+ area(5)
512(1/2)^2(1)-2 + 512(1/2)^2(2)-2 + 512(1/2)^2(3)-2 + 512(1/2)^2(4)-2 +512(1/2)^2(5)-2 =
512+ 512/4 + 512/16+ 512/ 64 + 512/ 256=
512+ 128 + 32+ 8 + 2= 682
Answer:
Rent each month = $1421
Amount left after rent and taxes monthly = $2453
Step-by-step explanation:
Gross salary; $61,992 per year
His gross pay per month will be;
61992/12 = $5166
Now, the standard recommended rule in budgeting for house rent is to use between 25% to 30% of your monthly pay for rent.
Now, let's adopt an average of 27.5%
Thus;
Amount he can afford for rent each month = 27.5% × 5166 = $1420.65 ≈ $1421
We are told he pays 25% of his gross monthly income in federal and state taxes.
Thus, amount spent on taxes each month = 25% × 5166 = $1291.5 ≈ $1292
Thus, amount he will gave left after rent and taxes = 5166 - (1421 + 1292) = $2453
Answer:
15.68×1.1 = 17.248 so if we see then it has 5 sig figs
