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Bezzdna [24]
3 years ago
6

Three brothers Charlie Robert and Nicholas have 21 video games Charlie has twice as many games as Robert. Robert has 5 fewer gam

es than Nicholas what would be the equation
Mathematics
2 answers:
AVprozaik [17]3 years ago
5 0

Answer:

The equation would be 4x-15=21.

Step-by-step explanation:

Given;

Total Number of Video games = 21

Let the number of video game Nicholas has be 'x'.

Now Given:

Robert has 5 fewer games than Nicholas.

so we can say that;

number of video game Robert has = x-5

Also Given:

Charlie has twice as many games as Robert.

so we can say that;

number of video game Charlie has = 2(x-5)=2x-10

we need to write the equation.

Solution:

Now we can say that;

Total Number of Video games is equal to sum of number of video game Nicholas has, number of video game Robert has and number of video game Charlie has.

framing the equation we get;

x+x-5+2x-10=21\\\\4x-15=21

Hence The equation would be 4x-15=21.

On Solving we get;

Adding both side by 15 we get;

4x-15+15=21+15\\\\4x=36

Dividing both side by 4 we get;

\frac{3x}{4}=\frac{36}{4}\\\\x=9

Hence Nicholas has = 9 video games

Robert has = x-5= 9-5=4 video games

Charlie has = 2x-10 = 2\times9-10=18-10=8 video games

Lapatulllka [165]3 years ago
3 0

Answer:

The equation would be  4x-15=21.

Step-by-step explanation:

Given:

Three brothers Charlie Robert and Nicholas have 21 video games Charlie has twice as many games as Robert. Robert has 5 fewer games than Nicholas.

Now, to find the equation.

Let the games Nicholas has be x.

Robert has games x-5.

And Charlie has 2(x-5).

Now, the equation is:

(x)+(x-5)+2(x-5)=21.

x+x-5+2x-10=21\\2x-5+2x-10=21\\4x-15=21

4x-15=21.

Therefore, the equation would be 4x-15=21.

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Shari buys a house for $240,000. She makes a down payment of 20% and finances the rest with a 15 year mortgage. She agrees to ma
Vedmedyk [2.9K]

Answer:

$1166.08 is the monthly payment for the mortgage per month.

Step-by-step explanation:

The meaning of this stated formula on the statement is the present annuity formula because we will have future monthly payments on the mortgage of the house in which they pay off the present value of the house which is $240000 x 80% = $ 192000 as this amount will excludes the down payment of 20% that is made.

We are given Pv the present value which excludes the down payment  $192000.

We have the interest rate i which is 1.2%/12 as it is compounded monthly.

n is the number of payments made over a period which is 12 x 15 years= 180 payments as it is compounded monthly.

no we substitute the above mentioned information to the present value annuity formula stated to calculate R the monthly payment:

Pv = R[(1-(1+i)^-n)/i]

$192000 = R[(1-(1+(1.2%/12))^-180)/ (1.2%/12)] divide both sides by the coefficient of R

$192000/[(1-(1+(1.2%/12))^-180)/(1.2%/12)] = R

$1166.08 =R which this is the amount that will be paid for the mortgage every month for 15 years.

5 0
3 years ago
Score: 0 of 1 pt
marysya [2.9K]

The price of house is $185000.

Step-by-step explanation:

The percentage formula will be used for finding the price of the house

Given

Down payment = $25900

Percentage = 14%

Let x be the price of the home

Then

Down\ payment=14\%\ of\ x\\\\25900=0.14 * x\\\\x = \frac{25900}{0.14}\\\\x =185000

Hence,

The price of house is $185000.

Keywords: Down payment, percentage

Learn more about percentage at:

  • brainly.com/question/10666510
  • brainly.com/question/10699220

#LearnwithBrainly

6 0
4 years ago
What is the solution to -15x=90
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Answer:

x = - 6

Step-by-step explanation:

Note the equal sign, what you do to one side, you do to the other. Isolate the variable (x). Divide -15 from both sides

(-15x)/-15 = (90)/-15

x = 90/(-15)

Divide.

x = 90/-15

x = -6

*Remember that when you divide a negative number and a positive number, the result will be a negative answer.

-6 is your answer

~

4 0
3 years ago
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Calculus 2 master needed; stuck on evaluating the integral please show steps <img src="https://tex.z-dn.net/?f=%5Cint%20%7Bsec%2
kakasveta [241]

Answer:

\int \sec(\frac{x}{2})\tan^5({\frac{x}{2}})dx=\frac{2\sec^5(\frac{1}{2}x)}{5}-\frac{4\sec^3(\frac{1}{2}x)}{3}+2\sec(\frac{1}{2}x)+C

Step-by-step explanation:

So we have the integral:

\int \sec(\frac{x}{2})\tan^5({\frac{x}{2}})dx

First, let's use substitution to get rid of the x/2. I'm going to use the variable y. So, let y be x/2. Thus:

y=\frac{x}{2}\\dy=\frac{1}{2}dx\\2dy=dx

Therefore, the integral is:

=2\int \sec(y)\tan^5(y)dy

Now, as you had done, let's expand the tangent term. However, let's do it to the fourth. Thus:

=2\int \sec(y)\tan^4(y)\tan(y)dy

Now, we can use a variation of the trigonometric identity:

\tan^2(y)+1=\sec^2(y)

So:

\tan^2(y)=\sec^2(y)-1

Substitute this into the integral. Note that tan^4(x) is the same as (tan^2(x))^2. Thus:

=2\int \sec(y)(\tan^2(y))^2\tan(y)dy\\=2\int \sec(y)(\sec^2(y)-1)^2\tan(y)dy

Now, we can use substitution. We will use it for sec(x). Recall what the derivative of secant is. Thus:

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Substitute:

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Expand the binomial:

=2\int u^4-2u^2+1du

Spilt the integral:

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Factor out the constant multiple:

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Reverse Power Rule:

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Simplify:

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Distribute the 2:

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Substitute back secant for u:

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And substitute back 1/2x for y. Therefore:

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And, finally, C:

=\frac{2\sec^5(\frac{1}{2}x)}{5}-\frac{4\sec^3(\frac{1}{2}x)}{3}+2\sec(\frac{1}{2}x)+C

And we're done!

7 0
3 years ago
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Ivan

Answer:

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Step-by-step explanation:

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