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velikii [3]
3 years ago
12

Aaron is 6 years old, Beth is 9 years old and Charlie is 15 years old. They are going to share £5940 in the same ratio as their

ages. How much do they each receive?
Mathematics
1 answer:
Andre45 [30]3 years ago
4 0

Answer:

Aaron=1188

Beth=1782

Charlie=2970

Step-by-step explanation:

From the question we are told that

Ratio 6:9:15

Total amount to e shared N=£5940

Generally the Ratio can divide the Total amount mathematically as follows

Ratio

6:9:15/3=2:3:5

Sum of ratio

2+3+5=10

For Aaron

A=\frac{2}{10} *5940

A=1188

For Beth

B=\frac{3}{10} *5940

B=1782

For Charlie

C=\frac{2}{10} *5940

C=2970

Check answer

A+B+C=5940\\1188+1782+2970=5940

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Ashley adds Polynomial A and B together:
icang [17]

Answer:

coefficient of x: 2

coefficient of y: 3

coefficient of z: -7

Step-by-step explanation:

To solve this problem, first we need to sum the polynomials A and B, then we need to check the coefficients of x, y and z.

The sum of the polynomials is:

A + B = 5z + 4x^2 - 6y + 2 + 2x + 9y - 12z - 2

A + B = 4x^2 + 2x + 3y - 7z

So, the coefficients are:

coefficient of x^2: 4

coefficient of x: 2

coefficient of y: 3

coefficient of z: -7

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Look at the system of equations below<br> Sy= -2x +3<br> 1 4x – 3y = 11
kompoz [17]

Answer:

(2,-1)

y= -1

x= 2

Step-by-step explanation:

y= -2x+3

4x-3y=11

substitute the value of y into an equation

4x-3(-2x+3)=11

distribute by multiplying numbers in parenthesis by -3

4x+6x-9=11

add 4x to 6x

10x-9=11

add 9 from both sides

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divide both sides by 10

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substitute the value of x into an equation

y= -2•2+3

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3 0
3 years ago
15
dimulka [17.4K]

Answer:

15) Ellen is 12 years old.

16) Don't know what value you are looking for but x=(17/4) while y=(7/4) since the set of equations is 2x-2y=5 and x+y=6.

Step-by-step explanation:

15) Ellen (E) is currently twice as old as Maria (M).

Twice means to multiply by 2.

E=2M is therefore the equation for this part of the problem.

In 6 years, Maria (M) will be 2/3 as old as Ellen (E).  Keep in my Maria as aged 6 years (M+6) and Ellen as aged 6 years (E+6):

M+6=(2/3)(E+6).

So we have this system to solve:

E=2M

M+6=(2/3)(E+6).

I'm going to replace the E in the second equation with 2M since the first equation says E=2M:

M+6=(2/3)(E+6) with E=2M:

M+6=(2/3)(2M+6)

Distribute:

M+6=(4/3)M+(12/3)

Reducing 12/3 to 4:

M+6=(4/3)M+4

Subtract 4 on both sides:

M+2=(4/3)M

Subtract M on both sides:

2=(4/3)M-M

Find a common denominator:  

2=(4/3)M-(3/3)M

Combine like terms:

2=(1/3)M

Multiply both sides by the reciprocal of 1/3 which is 3:

3(2)=3(1/3)M

6=1M

6=M

M=6

Maria is six years old.

Recall E=2M.

So if M=6, then E=2(6)=12.

So currently E is twice as old as M since 6(2)=12.

In six years, M will be 12 which E will be 18.

M (12) is two-thirds as old as E (18) since 12=2/3(18)

16)

2x-2y=5

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Your question doesn't state which value it is looking for.

Anyways I'm going to solve the system for the point (x,y) and then you can decide which part of this answer to use.

I'm going to solve this system by elimination.  Each equation already has the same form: ax+by=c. I just need a column with the variables to be opposite or the same.

I'm going to multiply both sides of equation 2 by 2:

2x-2y=5

2x+2y=12

Now I have opposites in a column: -2y and 2y.

When you add opposites you get 0 so this is what you want to use elimination.

We are going to add the equations now:

2x-2y=5

2x+2y=12

------------------Adding!

4x+0y=17

4x      =17

Divide both sides by 4:

 x      =17/4

Now if x=17/4 and x+y=6, then we have that (17/4)+y=6.

Subtracting 17/4 on both sides gives us y=6-(17/4).

Finding a common denominaotr gives us y=(24/4)-(17/4).

Simplifying this gives us y=(7/4).

The point of intersection (the solution) is (17/4 ,  7/4)

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A bag has 3 red marbles, 2 blue and 4 yellow. what is the probability of pulling a red
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Answer:

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Step-by-step explanation:

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