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2 years ago

0.75(8 + e) = 2 - 1.25e Solve for e

1 answer:

5 0

Our goal is to isolate e. Firstly, we need to distribute 0.75 to (8+e). This gives us 6 + 0.75e = 2 - 1.25e. Next, we can subtract 0.75e from both sides. You can also add 1.25e to both sides, but it really does not matter. This will give us 6 = 2 - -2e. Then, we will subtract 2 from both sides. This gives us 4 = -2e. Finally, we can isolate e by dividing by -2. -2 = e.

The answer is e = -2.

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Dr. Bhatia mixes 2 liters of a 5% saline solution with x liters of a 9% saline solution. The table shows the amount of each solu

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The value of x is 6.

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4 years ago

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What is the probability that if 13 letters are typed, no letters are repeated?

faltersainse [42]

If there are 13 letters typed, the probability that no letters will be repeated can be found to be 1.05 x 10⁻²⁰

<h3>How to find the probability no letters are repeated?</h3>

First, find the number of possibilities of 13 letters from 26 letters in the alphabet as:

= 26 x 26 x 26 x 26 x 26 x 26 x 26 x 26 x 26 x 26 x 26 x 26 x 26

= 6.156 x 10³⁶ possibilities

If the numbers are not to be repeated then the possibilities are:

= 26 x 25 x 24 x 23 x 22 x 21 x 20 x 19 x 18 x 17 x 16 x 15 x 14

= 64764752532480000 possibilities

The probability that no letters are repeated is:

= 64764752532480000 / 6.156 x 10³⁶

= 0.0000000000000000000105

= 1.05 x 10⁻²⁰

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1 year ago

Dominick weighs 30 pounds more than his sister. Together they weigh 330 pounds. How much does Dominick weigh?

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Domik weights 30 pounds more than his sister

Together they weigh 330 pounds

Let "x" represent the weight of Dominik's sister, then his weight can be expressed as "x+30"

And their total weight can be calculated as:

$x+(x+30)=330$

From this expression you can calculate the value of x:

$\begin{gathered} 2x+30=330 \\ 2x+30-30=330-30 \\ 2x=300 \\ \frac{2x}{2}=\frac{300}{2} \\ x=150 \end{gathered}$

x=150 pounds

x+30=150+30=180 pounds

Dominik weights 180pounds and his sister 150 pounds

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2 years ago

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The Sommers invested $5000 for three years at 6.5%. How much interest did the investment earn in three years? What was the total

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Answer:

the interest is $975

the total amount is $5975

Step-by-step explanation:

lets use tje formula

I=PRT

where I is interest earned

P is the principal amount(original amount)

R is the rate of interest

and T is the time in years

the principal amount is 5000 since it is the original amount

rate is $\frac{6.5}{100}$ =0.065

time is 3 years

lets plug these values into our equation:

5000*0.065*3=I

5000*0.065*3=975

the interest is $975

the next part of the question is asking for the balance or the total amount which is principal+interest

5000+975=5975

the total amount or balance is $5975

hope this helps

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3 years ago