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lana66690 [7]
2 years ago
8

Paul, Colin and Brian are waiters. One night the restaurant earns tips totalling £77.40. They share the tips in the ratio 2:3:4.

How much more does Brian get over Paul?
Mathematics
1 answer:
anastassius [24]2 years ago
5 0
The tip received by three of them - $77.40
They share in the ratio 2:3:4
The total number of units -2+3+4 = 9
9 units are for 77.40
Therefore 1 unit -77.4/9 = 8.6
Amount Brian receives - 4 units
Amount he gets - 8.6 x 4 = $34.4
Paul receives 2 units
His amount - 2x8.6 = $17.2
Brian receives 34.4 - 17.2 = $17.2 more than Paul
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Masteriza [31]

Answer:

6000 steps

Step-by-step explanation:

1/15 +1/10+1/2=2/30+3/30+15/30=20/30=2/3

2/3=12000 steps

1/3=6000 steps

3/3=18000 steps

Her total steps should be 18000 and she has done 12000 steps.

18000-12000=6000 steps

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2 years ago
The equation 4x2 – 24x + 4y2 + 72y = 76 is equivalent to
DerKrebs [107]

Answer:

Option 4 is correct.

The equation 4x^2 -24x + 4y^2 + 72y = 76 is equivalent to 4(x-3)^2 + 4(y+9)^2 =436

Step-by-step explanation:'

Given equation: 4x^2 -24x + 4y^2 + 72y = 76

First group the terms with x and those with y;

(4x^2-24x)+(4y^2+72y) = 76

Next, we complete the squares.

We can do this by adding a third term such that the x terms and the y terms are perfect squares.

For this we must either add the same value on the other side of the equation or subtract the same value on the same side so that the equality is maintained.

⇒4(x^2-6x) +4(y+18y) = 76

or

4(x^2 -6x +3^2 -3^2) + 4(y^2 +18y +9^2 -9^2) = 76

4(x^2-6x + 3^2) - 36 + 4(y^2+18y +9^2) - 324 = 76

4(x-3)^2 + 4(y+9)^2 - 360 =76

Add 360 on both sides we get;

4(x-3)^2 + 4(y+9)^2 =360 +76

Simplify:

4(x-3)^2 + 4(y+9)^2 =436

Therefore, the given equation is equivalent to 4(x-3)^2 + 4(y+9)^2 =436

5 0
2 years ago
Which expressions are equivalent to {22c + 33d}22c+33d22, c, plus, 33, d?
kotegsom [21]
A
 (-2c-3d) (- 11) (- 2c-3d) (- 11) left parenthesis, minus, 2, c, minus, 3, d, right parenthesis, left parenthesis, minus, 11, right parenthesis
 C
 (66c + 99d) \ cdot \ dfrac {1} {3} (66c + 99d) ⋅ 3
1 left parenthesis, 66, c, plus, 99, d, right parenthesis, dot, start fraction, 1, divided by, 3, end fraction
<span> E
 11\cdot(2c+3d)11⋅(2c+3d)11, dot, left parenthesis, 2, c, plus, 3, d, right parenthesis
</span> answer
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 (66c + 99d) * 1/3 = 22c + 33d
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4 0
2 years ago
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Vinvika [58]

Answer:

a=√2

Step-by-step explanation:

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∠E=∠H=45°

And ∠F=180°-∠E-∠G [By angle sum property]

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⇒∠F=45°=∠J  [corresponding parts of two congruent triangles are congruent]

⇒ Both triangles are isosceles right triangles such that

JK=HK=b , EG=GF

and EF=JH

Now JK=HK= EG=GF=3√2

Now GF=3a=3√2

⇒a=√2

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Answer:

Step-by-step explanation:You just have to divide and u get 4,000

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