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3 years ago

Paul, Colin and Brian are waiters.

2 answers:

7 0

whenever we have an amount to be divided in ratios, we simply divide the total amount by the sum of those ratios and then distribute accordingly. In this case, let's divide 77.40 by (1+3+5) and then distribute accordingly to each chap.

$\bf \stackrel{Paul}{1}~~:~~\stackrel{Colin}{3}~~:~~\stackrel{Brian}{5}~\hfill \cfrac{77.40}{1+3+5}\implies 8.6 \\\\\\ \stackrel{Paul}{1\cdot 8.6}~~:~~\stackrel{Colin}{3\cdot 8.6}~~:~~\stackrel{Brian}{5\cdot 8.6}\qquad \implies \qquad \stackrel{Paul}{8.6}~~:~~\stackrel{Colin}{25.8}~~:~~\stackrel{Brian}{43} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill \stackrel{\textit{Brian get this much more than Paul}}{43-8.6\implies 34.4}~\hfill$

leonid [27]3 years ago

6 0

Answer:

£34.40

Step-by-step explanation:

Paul, Colin and Brian are waiters.

One night the restaurant earns tips totalling £77.40

They share the tips in the ratio 1:3:5

Paul gets $\frac{1}{9}$ × £77.40 = £8.60

Brian gets $\frac{5}{9}$ × £77.40 = £43.00

Brian gets £43.00 - £8.60 = £34.40 more than Paul.

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Turn the following fraction into a PERCENT: 15/60

Lina20 [59]

15/60 simplified is 1/4 so the answer is 25%

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3 years ago

Read 2 more answers

Solve 5y'' + 3y' – 2y = 0, y(0) = 0, y'(O) = 2.8 y(t) =( Preview

Karolina [17]

Answer:

$y=\frac{4}{5}e^{t}-\frac{4}{5}e^{-\frac{2}{5}t}$

Step-by-step explanation:

The given equation 5y'' + 3y' - 2y =0 can be written as

$(5D^{2}+3D-2)y(t)=0$

Solving for complementary function we have Roots of $(5D^{2}+3D-2)$ as follows

$(5D^{2}+5D-2D-2)$

$5D(D+1)-2(D+1)=0\\\\(5D-2)(D+1)=0\\\\\therefore D=-1\\D=+2/5$

Thus the complementary function becomes

y= $y=c_{1}e^{m_{1}t}+c_{2}e^{m_{2}t}$

where

$m_{1},m_{2}$ are calculated roots

thus solution becomes

$y=c_{1}e^{-t}+c_{2}e^{\frac{2}{5}t}$

Now to solve for the coefficients we use the given boundary conditions

$y(0)=0\\\\\therefore c_{1}+c_{2}=0\\\\y'(0)=-c_{1}+\frac{2}{5}c_{2}=2.8\\\\\therefore c_{2}+\frac{2}{5}c_{2}=2.8\\\\c_{2}=2\\\\\therefore c_{1}=-2}$

hence the solution becomes

$y=-2e^-{t}+2e^{\frac{2}{5}t}$

8 0

3 years ago

14)

poizon [28]

Answer:

f(x) = 2x+5

Step-by-step explanation:

Given the arithmetic sequence shown

7,9, 11, 13, 15, 17,

THe nth term of the sequence is expressed as;

Tn = a + (n-1)d

a is the first term = 7

d is the common difference = 9-7 = 11-9 = 2

Substitute

Tn = 7 + (n -1)*2

Tn = 7 + 2n - 2

Tn = 2n + 5

Hence the required function is f(x) = 2x+5

4 0

3 years ago

The curved surface area of a right circular cylinder of height 14 cm is 88 cm2. find the diameter of the base of the cylinder

White raven [17]

Answer:

2 cm

Step-by-step explanation:

h = 14 cm

Curved surface area of a right circular cylinder = 88 cm²

2πrh = 88

$2 * \frac{22}{7}*r*14=88\\\\r = \frac{88*7}{2*22*14}\\\\ r =1 \\\\r = 1 cm$

Diameter = 2 * r = 2 * 1 = 2 cm

6 0

3 years ago

Jack is mowing lawns he mows lawns at a constant rate of 1/3 acre every 3/4 hour at this rate which ffraction re;presents the ac

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Answer:

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Step-by-step explanation:

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To calculate the rate per hour, we have to divide total acres by the fraction of hour

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5 0

3 years ago