Ask question

Ask question

All categories

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

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 $4x-15=21.$

You might be interested in

Ryan rolls two fair number cubes labeled 1 through 6. What is the probability that the sum of the two number cubes is 5 or more?

Aleksandr [31]

Answer:

1/3.

Step-by-step explanation:

2 x 6 = 12

1 2 3 4 5 6

1 2 3 4 5 6

4/12 = 1/3

4 0

3 years ago

Read 2 more answers

The work in an office takes 150 hours to complete every week. Each person in the office works 32hours a week. What is the smalle

tatiyna

Answer:

5

Step-by-step explanation:

To answer this, we must figure out the minimum amount we can add 32 to itself to reach 150. This means that we must multiply 32 by our desired amount, x, to reach the amount of hours closest to 150 (but above/equal to it). To find x, we can divide 150 by 32, and if it gives us a number with no decimals or remainders, that is x, as it is the smallest amount of people to get above/equal to 150. If it gives us a remainder/decimal, we must round up, as we cannot have a part of a person and we must get the work done, so we must get at least 150 hours. 150/32 is 4.6 something, so we must round up. 5 is our answer

8 0

3 years ago

Consider the vectors a =3i +j −k, b =i +j +4k, c=i +3j +k, d =−i −3j +k, g =−3i −j +k. Which pairs (if any) of these vectors are

11111nata11111 [884]

Answer:

a and b are perpendicular to each other, as are b and d, b and g

Step-by-step explanation:

To check whether two vectors are perpendicular to each other, we need the angle between these vectors to be 90 degrees.

We can find the angle between to vectors a and b from the following relation:

The cosine of the angle $\theta$ between two vectors is equal to the dot product of this vectors divided by the product of vector magnitude.

So

$cos(\theta) = \frac{a.b}{|a||b|}$

cos(90) = 0, so when the dot product between vectors a and b is 0, it means that these vectors are perpendicular to each other.

Now, for your exercise, let's compute the dot product between these vectors.

-----------

a.b = (3,1,-1).(1,1,4) = 3+1-4 = 0

So a and b are perpendicular to each other.

------------

a.c = (3,1,-1).(1,3,1) = 3+3-1 = 5

a and c are not perpendicular to each other.

--------------

a.d = (3,1,-1).(-1,-3,1) = -3-3-1 = -7

So not perpendicular

---------------

a.g = (3,1,-1).(-3,-1,1) = -9-1-1 = -11

Not

-----------------

b.c = (1,1,4).(1,3,1) = 1+3+4 = 8

Not

------------------

b.d = (1,1,4).(-1,-3,1) = -1 -3 +4 = 0

b.d = 0, so b and d are perpendicular to each other

--------------------

b.g = (1,1,4).(-3,-1,1) = -3-1+4 = 0

b.g = 0, perpendicular

---------------------

c.d = (1,3,1).(-1,-3,1) = -1-9+1 = -9

No

-----------------------

c.g = (1,3,1).(-3,-1,1) = -3-3+1 = -5

No

------------------------

d.g = (-1,-3,1).(-3,-1,1) = 3+3+1 = 7

No

7 0

3 years ago

Please help me on this <br> U need to zoom in

rodikova [14]

Not sure if you can do this but it sounds like a velocity/time/distance equation.
d=vt
v=d/t
t=d/v

70 w/m = t
15 pages - 350 w/p

She can type 70 words per minute (w/m). There are 350 words per page (w/p). She needs 15 pages. So first you have to find how many words she can type in one hour. 60 minutes in an hour, she can type 70 w/p.

60x70=4,200 words per hour (w/h).

Next you should find out how many words on 15 pages total.
350x15= 5,250.

I would put 4,200/5,250 as a fraction to gage how much she has left. She has most of it done already in ONE HOUR. Reduced, she has done 4/5s of the essay. Now you just need to get 1/5 of 5250, which is 1050.

She needs to do 1050 words. If one minute is 70, do 1050/70 which is 15.

The answer is 1 hour and 15 minutes.

I think... ;)

3 0

3 years ago

Write an equation that is parallel to y = 3x and passes through (-4 , -3)

Anit [1.1K]

The slopes of two parallel lines must be identical.

We have slope $m=3$ , so the slope for the parallel line be the same.

Now, to find an equation that also passes through the given point, we use slope-point form, $y-y_1=m(x-x_1)$ , where our point $(-4,-3)$ is substituted for $(x_1,y_1)$ .

$y+3=3(x+4)$

Now, we convert to slope-intercept form as such.

$y=3x+12-3\\y=3x+9$

And we are done. :) We can verify graphically that these are indeed parallel lines. See attached.

8 0

3 years ago