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Nesterboy [21]
3 years ago
7

5(1+4K)+7k=4(7k+2) Help

Mathematics
1 answer:
stepladder [879]3 years ago
5 0

Answer:

k = -3

Step-by-step explanation:

1) Simplify

5+20k+7k=28k+8

2) Combine the k's

5+27k=28k+8

3) Subtract 27k on both sides

5=k+8

4) Subtract 8 on both sides

-3=k or k= -3

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Carrie has 300 marbles 25 of the marbles are green 15% of the marbles are red and the rest of the marbles are blue how many blue
Rus_ich [418]

Answer:

230.

Step-by-step explanation:

\:  \:  \:  \: 300 - 25 -  \frac{15}{100}  \times 300 =  \\  = 275 - 45 =  \\  = 230

Hope this helps!

4 0
3 years ago
Read 2 more answers
Alma invests $300 in an account that compounds interest annually. After 2 years, the balance of the account is $329.49. To the n
-Dominant- [34]

Invested amount (P) = $300.

Time in years (t) = 2 years.

Balance after 2 years (A) = $329.49.

Let us assume rate of interest = r % compounds annually.

We know, formula for compound interest

A=P(1+r)^t

Plugging values in formula, we get

329.49=300(1+r)^2

\mathrm{Divide\:both\:sides\:by\:}300

\frac{300\left(1+r\right)^2}{300}=\frac{329.49}{300}

\left(1+r\right)^2=1.0983

Taking square root on both sides, we get

1+r=\sqrt{1.0983}

\mathrm{Subtract\:}1\mathrm{\:from\:both\:sides}

1+r-1=\sqrt{1.0983}-1

r=\sqrt{1.0983}-1

r=1.048-1

r=0.048.

Converting it into percentage by multiplying by 100.

r=0.048 × 100

r  = 4.8 %

Therefore, the rate of interest on the account is 4.8% compounds annually.

5 0
3 years ago
Dwayne plays five games of rock-paper-scissors. In order to seem unpredictable, he never chooses the same move (rock, paper, or
Andreyy89

Answer:

48

Step-by-step explanation:

First, in this problem, you would assume that there are five numbers to multiply since Dwayne played 5 games.  

 

                                                                                       

 

In the first blank, he could choose any move, and there are three, rock, paper, and scissors. In the first blank, you would put 3. Then, since you already picked one, you can't repeat it, so you would end up with 2 for the second blank. Continuing with the next blanks, the third, fourth, and fifth spaces would be 2 choices because you cannot have the one choice you chose previously. In the end, the blanks would look somewhat like this:

 

3    2    2    2    2

 

And you would multiply all the numbers.

 

3  x  2  x  2  x  2  x  2

                                                                  = 6 x 8

                                                                  = 48

6 0
3 years ago
3 and 1/2 x 6 and 1/2
Lera25 [3.4K]

Answer:

91/4 or 22 3/4

Step-by-step explanation: i just know

5 0
3 years ago
Nathan and Steven stacked boxes on a shelf . Nathan lifted 13 boxes and Steven lifted 15 boxes . The boxes that Nathan lifted ea
Galina-37 [17]
The answer is N=13(x+12), where x represents the amount of pounds Steven's boxes weighed and N represents the total number of pounds Nathan lifted. 
3 0
3 years ago
Read 2 more answers
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