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3 years ago

Paul, Colin and Brian are waiters.

Mathematics

1 answer:

snow_lady [41]3 years ago

4 0

Answer:

Paul gets £2(9.8) = £19.6, and

Colin gets £1(9.8) = £9.8, and

Brian gets £5(9.8) = £49

Step-by-step explanation:

Find the multiplier x in 2x + 1x + 5x = £78.40.

Summing up the left side: 8x = 78.40

Dividing both sides by 8 to isolate x:

x = 9.8

Then Paul gets £2(9.8) = £19.6, and

Colin gets £1(9.8) = £9.8, and

Brian gets £5(9.8) = £49

As a check, add these together; the sum must be £78.40:

£19.6 + £9.8 + £49 = £78.40. So our figures are correct.

Brian gets £49 and Colin gets £9.8. Subtracting, we obtain:

£39.20. This is the amount by which Brian's tips exceeds Colin's.

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Find an equation for the perpendicular Bisector of the line segment whose endpoints are (-9,-8) and (7,-4

Alina [70]

equation for the perpendicular Bisector of the line segment whose endpoints are (-9,-8) and (7,-4)

Perpendicular bisector lies at the midpoint of a line

Lets find mid point of (-9,-8) and (7,-4)

midpoint formula is

$\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2}$

$\frac{-9+7}{2} ,\frac{-8+-4}{2}$

midpoint is (-1, -6)

Now find the slope of the given line

(-9,-8) and (7,-4)

$slope = \frac{y2-y1}{x2-x1} = \frac{-4-(-8)}{7-(-9)}$

$slope = \frac{-4+8}{7+9}= \frac{4}{16} =\frac{1}{4}$

Slope of perpendicular line is negative reciprocal of slope of given line

So slope of perpendicular line is -4

slope = -4 and midpoint is (-1,-6)

y - y1 = m(x-x1)

y - (-6) = -4(x-(-1))

y + 6 = -4(x+1)

y + 6 = -4x -4

Subtract 6 on both sides

y = -4x -4-6

y= -4x -10

equation for the perpendicular Bisector y = -4x - 10

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2 years ago

Malia measures the longer side of a dollar bill using a ruler at school. Which of the following is most likely the quantity she

sergey [27]

Answer:

6.14 inches

Step-by-step explanation:

The one side of the dollar bill is 6.14 inch. The 6.14 inches of the dollar approximates the 156.1 mm. When Malia measures the longer side of a dollar bill from her rule it will be approximately 6.14 inches in length. The ruler normally has inches and cm sides. Very few rulers have mm scales. The most probable scale that malia would have measure is in inches.

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3 years ago

From 1960 to 1980 , the consumer price index (cpi) increased from 29.6 to 82.4. If a frozen chicken pie cost $0.28 in 1960 and t

mojhsa [17]

CPI in 1960 = 29.6

CPI in 1980 = 82.4

Growth (%) in CPI = $\frac{\text{CPI in 1980 - CPI in 1960}}{\text{CPI in 1960}}$ × 100