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Andrew [12]
3 years ago
6

Dr. Betz, a vet, is running a free rabies clinic. He estimates that it will take him 12 minutes for each animal he treats. Dr. B

etz has already seen 20 animals, the last of which was a shaggy dog. Write an equation for how many minutes Dr. Betz worked. How long did Dr. Betz work at the rabies clinic if he saw 20 more animals after the shaggy dog?
Mathematics
1 answer:
Olin [163]3 years ago
7 0

Answer:

equation: y = 12x

Dr. Betz worked for 8 hours.

Step-by-step explanation:

To write the equation we'll use the form y = mx, where y represents the amount of time the Doctor worked, m is the amount of minutes it takes to treat each animal, and x is how many animals have been treated. We know the value of m is 12, so let's put that into the equation:

y = 12x

Now we have our equation. We can use it to see how long Dr. Betz worked. He treated a total of 40 animals - 20 including the shaggy dog, and 20 after the shaggy dog. let's replace x with 40:

y = 12(40)

Now solve:

y = 480

Dr. Betz worked for 480 minutes. There are 60 minutes in an hour. Divide 480 by 60 to find out how many hours Dr. Betz worked for:

480/60 = 8

Dr. Betz worked for 8 hours.

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A+ bakery uses vanilla extract in the baking of their cookies. a small bottle of vanilla extract has 16 ounces in it. if each ba
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Answer:

24 times

Step-by-step explanation:

Given : A small bottle of vanilla extract has 16 ounces in it.

To Find : if each batch of cookies baked requires 2/3 of an ounce of vanilla how many times can the bakery use the bottle before it is empty?

Solution :

No. of batch of cookies requires 2/3 ounce of vanilla = 1

No, of batch of cookies requires 1 ounce of vanilla  = \frac{1}{\frac{2}{3}}={\frac{3}{2}}

No. of batches require 16 ounces of vanilla = \frac{3}{2} * 16

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Answer:

The rate of change is 2

What is the Rate of Change?

A rate of change defines how one quantity changes in relation to another quantity. The rate of change can be either positive or negative. Since the slope of a line is the ratio of vertical and horizontal change between two points on the plane or a line, then the slope equals the ratio of the rise and the run.

Where, rise is the vertical change between two points and run is the horizontal change between two points.

Standard Formula

The standard form for the rate of change of slope, m is given by

Rate of change = Rise/ Run

= Δy / Δx

Therefore, the rate of change of slope =(y2 – y1) / (x2 – x1)

Where

Δ represents the rate of change

(x1, x2) is the X coordinates

(y1, y2) is the Y coordinates

What is meant by slope?

The slope represents the gradient of the line. It is denoted by the symbol “m”. It defines the rate of change.

Can a slope be negative?

A slope can be either positive or negative. If a line has a positive slope (i.e., m > 0), then y always increases when x increases and y always decreases when x decreases. Also, if a line has a negative slope (i.e., m<0), then y always increases when x decreases and y always decreases when x increases.

What is the formula for the slope?

The formula to find the slope is

m = (y2 – y1) / (x2 – x1)

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Answer:

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Step-by-step explanation:

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