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Masja [62]
3 years ago
9

£200 is divided between Peter, Angad & Nick so that Peter gets twice as much as Angad, and Angad gets three times as much as

Nick. How much does Angad get?
Mathematics
1 answer:
madreJ [45]3 years ago
7 0

Let the amount Nick gets = x

Angad gets 3x ( 3 times as much as Nick)

Peter gets 6x (Twice as much as Angad)

Add together to equal the total amount:

x + 3x + 6x = 200

Simplify:

10x = 200

Divide both sides by 10:

x = 20

Angad gets 3x = 3(20) = 60

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Vlad [161]
The correct answer is 3x
3 0
3 years ago
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The sum of Sasha’s and Natalie’s ages is 31. Twice Natalie’s age is 11 years more than Sasha’s age. Find each of their ages
ZanzabumX [31]

Answer:

Natalie's age is 14

Sasha's age is 17

Step-by-step explanation:

Let

Sasha's age be "s", and

Natalie's age be "n"

<u>Sum of Sasha and Natalie is 31:</u>

s + n = 31

<u>Twice Natalie is 11 more than Sasha:</u>

2n = s + 11

We ca solve this equation for s first:

s = 2n - 11

We put this into first equation and solve for n first:

s + n = 31

2n - 11 + n = 31

3n = 31 + 11

3n = 42

n = 42/3 = 14

Natalie's age is 14

Also, s = 2n - 11

s = 2(14) - 11

s = 28 - 11

s = 17

Sasha's age is 17

6 0
3 years ago
Explain how you would solve -5/8 divided by 2/3 and what the solution is?
andre [41]

Answer:

-15/16

Step-by-step explanation:

-5/8 ÷ 2/3

Copy dot flip

-5/8 * 3/2

Multiply the numerators

-5*3 = -15

Multiply the denominators

8*2 =16

Put the numerator over the denominator

-15/16

4 0
3 years ago
A backyard pool has a concrete walkway around it that is 3 feet wide on all sides. The total area of the pool and the walkway is
Sloan [31]

Answer:

x \approx 21.080\,ft, y = 29.080\,ft

Step-by-step explanation:

The total area of the pool and the walkway is:

(x + 6\,ft)\cdot (y + 6\,ft) = 950\,ft^{2}

(x + 6\,ft)\cdot (x + 14\,ft) = 950\,ft^{2}

x^{2} + 20\cdot x + 84\,ft^{2} = 950\,ft^{2}

x^{2} + 20\cdot x - 866\,ft^{2} = 0

The roots of the second-order polynomial is:

x_{1} \approx 21.080\,ft and x_{2} \approx -41.081\,ft

The only possible root is:

x \approx 21.080\,ft

The other dimension of the pool is:

y = x + 8\,ft

y = 21.080\,ft + 8\,ft

y = 29.080\,ft

3 0
3 years ago
Which of the following slopes show that the set of points C(1, 1), D(3, -4), E(5, 8) are not collinear?
MArishka [77]
C is the answer you want

8 0
3 years ago
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