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antoniya [11.8K]
3 years ago
12

James, Ryan and Jill share £120 in the ratio 3:2:1. Find out how much each person recieves.

Mathematics
2 answers:
ArbitrLikvidat [17]3 years ago
8 0

Answer:

James = £60, Ryan = £40 and Jill = £20

Step-by-step explanation:

James - 3, Ryan - 2 and Jill - 1

3 + 2 + 1 = 6

£120 / 6 = 20

Times 20 by each of the three numbers (3, 2 and 1)

3 x 20 = £60 (James)

2 x 20 = £40 (Ryan)

1 x 20 = £20 (Jill)

Butoxors [25]3 years ago
7 0

Answer:

James gets £60

Ryan gets £40

Jill gets £20

Step-by-step explanation:

Add up the ratio which would be 6 then divide it by the original sum which is £120 so the answer would be 20. You would then multiply 20 by each number so 20x3= 60. 20x2= 40. 20x1=20

All these should add up to your original sum and if they do you know you've done it right!

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Which expression is equivalent to 4 x 4 x 4 x 5 x 5 ?
ivann1987 [24]

Answer:

4³×5² or 4³5²

Step-by-step explanation:

This is because there are three consecutive 4s, so you have to put the 4 into exponential form 3 times. So the exponential form for the 4s will be 4³. There are also 2 consecutive 5s so you have to include 2 in the exponential form. So, the exponential form of the 5s is 5². Now you have to somehow multiply them together. You could do this by putting a multiplication sign, (4³×5²) or you could bunch them together and it will mean the same thing (4³5²).

Hope this helps :)

3 0
3 years ago
Find the derivative of f(x) = x/6 at x = -2.
AfilCa [17]
f'(x_0)=\lim\limits_{x\to x_0}\dfrac{f(x)-f(x_0)}{x-x_0}\\\\f(x)=\dfrac{x}{6};\ x_0=-2\\\\subtitute\\\\f'(-2)=\lim\limits_{x\to-2}\dfrac{\frac{x}{6}-\frac{-2}{6}}{x-(-2)}=\lim\limits_{x\to-2}\dfrac{\frac{x}{6}+\frac{2}{6}}{x+2}=\lim\limits_{x\to-2}\dfrac{\frac{x+2}{6}}{x+2}\\\\=\lim\limits_{x\to-2}\left(\dfrac{x+2}{6}\cdot\dfrac{1}{x+2}\right)=\lim\limits_{x\to-2}\dfrac{1}{6}=\dfrac{1}{6}
6 0
3 years ago
Tyra buys 14 gallons of gas for $35. How could she figure out how much 1 gallon of gas cost her?
bogdanovich [222]
B is your answer , you divide !!
6 0
3 years ago
The table shows ordered pairs of the function . What is the value of y when ?
LiRa [457]

Answer:

(B) -8

Step-by-step explanation:

Given the 2-column table below:

\left|\begin{array}{c|c}x&y\\--&--\\-3&14\\-1&10\\1&6\\4&0\\8&?\\10&-12\end{array}\right|

Taking the pair (-3,14) and (-1,10)

Slope, m=\dfrac{10-14}{-1-(-3)} =\dfrac{-4}{2} =-2

Taking the pair (1,6) and (4,0)

Slope, m=\dfrac{0-6}{4-1} =\dfrac{-6}{3} =-2

Since the slope is constant, the table represents a linear function whose slope is -2. Therefore:

Taking the pair (8,y) and (4,0)

Slope, m=\dfrac{0-y}{4-8} =-2

\dfrac{-y}{-4} =-2\\y=-2*4=-8

Therefore, the value of ? on the y-column is -8.

3 0
4 years ago
Read 2 more answers
What's the most effective method for controlling inventory ? a ) Electronically , by reviewing billing receipts b ) Electronical
mina [271]

Answer:

a ) Electronically , by reviewing billing receipts

Step-by-step explanation:

The main purpose of controlling inventory is to make sure that the optimal amount of products are being kept.

Therefore, option A is correct.

8 0
2 years ago
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