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4 years ago

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David charges $4 to wash all the windows of a car, inside and out. The amount of money he earns washing the windows must end in

one of what digits? Why? List all the possible digits.

1 answer:

nordsb [41]4 years ago

4 0

Answer:

The possible digits are : 0, 2, 6, 4, 8

Step-by-step explanation:

Money charged by David to wash the windows of a car = $4

Let total number of cars he washed be x

Now, Total money earned by washing windows of a car = Money charged for washing all windows of one car × Total number of cars washed

⇒ Total money earned = 4 × x

So, the amount will always end in the digits which comes at the end of multiples of 4 because the amount will be always in the multiples of 4

⇒ 4 × 1 = 4 , 4 × 2 = 8 , 4 × 3 = 12 , 4 × 4 = 16 , 4 × 5 = 20 ......

So, the possible digits are : 0, 2, 6, 4, 8

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The table shows pattern p and patterns q complete the table

mario62 [17]

ANSWER

P=8,Q=16

EXPLANATION

We can see from the table that both pattern P and Q have an initial value of 24.

Pattern P is reducing by a constant difference of 4.

The next value for pattern P is

12-4=8.

Also pattern Q is reducing by a constant value of 2.

The next value for pattern Q is,

18-2=16

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3 years ago

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A school uniform for boys consists of black or gray slacks, a short-sleeve or long-sleeve white button-down shirt, and a red, bl

sdas [7]

If I am right the answer would be 6

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3 years ago

Which is equivalent to 4x/x-7 - x+7/x

spin [16.1K]

Answer:

The answer to your question is the second choice

Step-by-step explanation:

4x/ (x - 7) - (x +7) / x

- Find the greatest common factor from x and (x - 7)

GCF = x(x - 7)

- Substract the terms

[4x(x) - (x + 7)(x - 7)] / x(x - 7)

- Simplify

[ 4x² - x² + 49] / x(x - 7)

[ 3x² + 49] / x(x - 7)

- Result

3x² + 49 / x(x - 7)

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3 years ago

A manager wishes to determine the relationship between the number of miles (in hundreds of miles) the manager's sales representa

Aleksandr [31]

Answer:

$y=3.529 x +37.91$

We can predict the sales representative travelled 8 miles replacing x =8 and we got:

$y(8) = 3.529*8 + 37.91= 66.142$

And we can predict the sales representative travelled 11 miles replacing x =11 and we got:

$y(11) = 3.529*11 + 37.91= 76.729$

Step-by-step explanation:

For this case we have the following data:

Miles Traveled x: 2,3,10,7,8,15,3,1,11

Sales y :31,33,78,62,65,61,48,55,120

For this case we need to calculate the slope with the following formula:

$m=\frac{S_{xy}}{S_{xx}}$

Where:

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}$

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}$

So we can find the sums like this:

$\sum_{i=1}^n x_i =60$

$\sum_{i=1}^n y_i =553$

$\sum_{i=1}^n x^2_i =582$

$\sum_{i=1}^n y^2_i =39653$

$\sum_{i=1}^n x_i y_i =4329$

With these we can find the sums:

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=582-\frac{60^2}{9}=182$

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}=4329-\frac{60*553}{9}=642.33$

And the slope would be:

$m=\frac{642.33}{182}=3.529$

Nowe we can find the means for x and y like this:

$\bar x= \frac{\sum x_i}{n}=\frac{60}{9}=6.67$

$\bar y= \frac{\sum y_i}{n}=\frac{553}{9}=61.44$

And we can find the intercept using this:

$b=\bar y -m \bar x=61.44-(3.529*6.67)=37.91$

So the line would be given by:

$y=3.529 x +37.91$

We can predict the sales representative travelled 8 miles replacing x =8 and we got:

$y(8) = 3.529*8 + 37.91= 66.142$

And we can predict the sales representative travelled 11 miles replacing x =11 and we got:

$y(11) = 3.529*11 + 37.91= 76.729$

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3 years ago

What is the value of x in the equation. 8 x - 2 y= 48 when y =4

goldfiish [28.3K]

$\qquad$ ❄️ $\boxed{\bf x = 7}\\\\$

We are given –

$\qquad$ $\twoheadrightarrow\bf 8x -2 y =48$

And also value of y's given. So, just put the value of y in the given equation.

___________________________________

$\qquad$ $\purple{\twoheadrightarrow\bf 8x -2 y =48}$

$\qquad$ $\twoheadrightarrow\sf 8x - \underbrace{2 \times 4} =48$

$\qquad$ $\twoheadrightarrow\sf 8x - 8 =48$

$\qquad$ $\twoheadrightarrow\sf 8x = 48 +8$

$\qquad$ $\twoheadrightarrow\sf 8x = 56$

$\qquad$ $\twoheadrightarrow\sf x =\cancel{\dfrac{56}{8}}$

$\qquad$ $\purple{\twoheadrightarrow\bf x= 7}$

Henceforth, value of x is 7.

_______________________________________

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2 years ago

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