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3 years ago

Two thirds equals 18 over x plus 5

1 answer:

7 0

Problem: 2/3= 18/(x+5)

First, I would multiply the (x+5) over

Making it 2/3(x+5)=18

Second, I would Divide by 2/3 (which is the same as multiplying by the reciprocal 3/2)

which shows up like this now (x+5)=18*3/2

third I would subtract the 5 over

which will give you your answer

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What value for n makes this equation true? 6 • 25 = (6 • 20) + (6 • n)

kogti [31]

6* 25 = 150 = (6*20= 120) + (6*5=30) Then Add 120+30= 150 so your answer is 5

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4 years ago

Read 2 more answers

You are given that 4a-2b = 10 (a) Write down the value of 2a - b

Simora [160]

Answer:

2a - b = 5

Step-by-step explanation:

4a - 2b = 10

take out the highest common factor of the left side

2(2a - b) = 10

divide both sides by two

2a - b = 10/2

2a - b = 5

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3 years ago

I need help quick!!!

babunello [35]

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3 years ago

Find the radius of convergence, r, of the series. ? n2xn 7 · 14 · 21 · ? · (7n) n = 1

defon

I'm guessing the series is supposed to be

$\displaystyle\sum_{n=1}^\infty\frac{n^2x^n}{7\cdot14\cdot21\cdot\cdots\cdot(7n)}$

By the ratio test, the series converges if the following limit is less than 1.

$\displaystyle\lim_{n\to\infty}\left|\frac{\frac{(n+1)^2x^{n+1}}{7\cdot14\cdot21\cdot\cdots\cdot(7n)\cdot(7(n+1))}}{\frac{n^2x^n}{7\cdot14\cdot21\cdot\cdots\cdot(7n)}}\right|$

The first $n$ terms in the numerator's denominator cancel with the denominator's denominator:

$\displaystyle\lim_{n\to\infty}\left|\frac{\frac{(n+1)^2x^{n+1}}{7(n+1)}}{n^2x^n}\right|$

$|x^n|$ also cancels out and the remaining factor of $|x|$ can be pulled out of the limit (as it doesn't depend on $n$ ).

$\displaystyle|x|\lim_{n\to\infty}\left|\frac{\frac{(n+1)^2}{7(n+1)}}{n^2}\right|=|x|\lim_{n\to\infty}\frac{|n+1|}{7n^2}=0$

which means the series converges everywhere (independently of $x$ ), and so the radius of convergence is infinite.

3 0

4 years ago

Students are making ornaments and each takes 1/4 of a piece of Bristol board. They go to the cupboard and find 2 1/2 pieces of B

coldgirl [10]

Answer: 10 ornaments

Step-by-step explanation:

From the question, we are informed that students are making ornaments and each takes 1/4 of a piece of Bristol board. We are further told that they go to the cupboard and find 2 1/2 pieces of Bristol board.

The number of ornaments that they make will be gotten by dividing 2 1/2 by 1/4. This will be:

= 2 1/2 ÷ 1/4

= 5/2 ÷ 1/4

= 5/2 × 4/1

= 10

They can make 10 ornaments

5 0

3 years ago