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Alecsey [184]
3 years ago
12

Noel works as a driver for a transportation company. On average, he drives 152 hours to make 19 successful deliveries. Assume th

is rate is his constant rate for delivering goods. If you graph this relationship with time along the x-axis and number of deliveries along the y-axis, the slope of the line you get gives Noel's unit rate for a successful delivery. Which unit rate can be interpreted as the slope?
A. 8 deliveries per hour
B. 2/17 of an hour per delivery
C. 1/8 of a delivery per hour
D. 1/8 of an hour per delivery
Mathematics
2 answers:
astra-53 [7]3 years ago
6 0
It would be A bc u just do 152 divided by 19
astraxan [27]3 years ago
5 0

Answer: C. 1/8 of a delivery per hour

Step-by-step explanation:

Given: The total time for which Noel drives = 152 hours

The total number of successful deliveries = 19

Now, the Noel's unit rate for a successful delivery is given by :-

\dfrac{\text{Total successful deliveries}}{\text{Total hours }}\\\\=\dfrac{19}{152}=\dfrac{1}{8}\text{ }

Hence, Noel's unit rate for a successful delivery =\dfrac{1}{8} of a delivery per hour.

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3 years ago
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Alona [7]
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3 years ago
What is the equation of the line perpendicular to Y-3x+1 that passes through the point (12,-6)?
erma4kov [3.2K]

Answer:

3y + x = -6

Step-by-step explanation:

Given

y = 3x + 1

Required

Equation of line that passes through (12,-6) and is perpendicular to y = 3x + 1

First, the slope of the line has to be calculated;

Th slope of a line is the coefficient of x in its linear equation;

This implies that the slope of y = 3x + 1 is 3

Having calculated the slope of the first line;

The relationship between both lines are perpendicularity; this implies that m_1 * m_2 = -1

Where m_1 = 3 and m_2 is the slope of the secodnd line

m_1 * m_2 = -1 becomes

3 * m_2 = -1

Divide both sides by 3

\frac{3 *m_2}{m_2} = \frac{-1}{3}

m_2 = \frac{-1}{3}

The equation of the line can be calculated using the folloing formula

m = \frac{y - y_1}{x - x_1}

Where (x_1, y_1) = (12,-6) and m_2 = \frac{-1}{3}

The equation becomes

\frac{-1}{3} = \frac{y -- 6}{x - 12}

\frac{-1}{3} = \frac{y + 6}{x - 12}

Cross multiply

-(x - 12)= 3(y + 6)

-x + 12=3y + 18

Collect like terms

12 - 18 = 3y +x

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4 0
3 years ago
HELP Me NOW NOW NOW NOW
german

Answer:

The answer is 9/16.

Step-by-step explanation:

Using Indices Law,

{( \frac{a}{b}) }^{n} ⇒ \frac{ {a}^{n} }{ {b}^{n} }

So for this question :

{ (\frac{3}{4}) }^{2}

=  \frac{ {3}^{2} }{ {4}^{2} }

=  \frac{3 \times 3}{4 \times 4}

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7 0
3 years ago
4). Machine “B” can pack 11 boxes per minute. The factory receives an
Elena L [17]

Answer:

Amount of time would be greater than 95 minutes

Step-by-step explanation:

We are told that machine B can pack 11 boxes per minute.

Thus, this is 11x where x represents number of minutes.

We are told that the factory revives an order of over 1100 boxes and that it had already packed 55.

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6 0
2 years ago
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