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2 years ago

What is the number that when you multiply by six and subtract four to the product you get 32

Mathematics

2 answers:

ollegr [7]2 years ago

8 0

Answer:

Step-by-step explanation:

Furkat [3]2 years ago

3 0

Answer:

Step-by-step explanation:

32 + 4 = 36

36 / 6 = 6

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The area of a duck enclosure is 300 square feet, with 100 square feet occupied by a pond. Each duck in the enclosure needs more

SVEN [57.7K]

Answer: Choice B) x < 10

=======================================================

Explanation:

There's 300 square feet total (land+water). Of that, 100 sq ft is taken up by the pond, so we have 300-100 = 200 sq ft of dry land.

1 duck needs more than 20 sq ft of dry land
2 ducks need more than 40 sq ft of dry land (note how 2*20 = 40)
3 ducks need more than 60 sq ft of dry land (note how 3*20 = 60)
and so on...

In general,
x ducks need more than 20*x square feet of dry land

The max amount of dry land we have is 200 sq ft
The total amount of space the ducks take up must be less than 200 sq ft

In terms of symbols, we have
T = total space ducks take up on dry land
T = 20*x
T < 200

So we can arrive at this inequality
20*x < 200
after replacing the "T" with "20*x"

Afterward, divide both sides by 20
20*x < 200
20*x/20 < 200/20
x < 10
So we must have less than 10 ducks

If we had 10 ducks exactly, then they would take up more than 20*10 = 200 sq ft, but we only have 200 sq ft

The largest number of ducks we can have is 9 ducks.
So that's why we have a "less than" symbol instead of a "less than or equal to" symbol.

5 0

2 years ago

How to write 4 508 300<br>in words?

Elanso [62]

Four million five hundred and eight thousand three hundred

3 0

2 years ago

For a circle with a radius of 6 feet, what is the measurement of the central angle (in degrees) that intercepts an arc

geniusboy [140]

Answer: The central angle measures 135 degrees

Step-by-step explanation: We have been given an arc with length 9pi/2 feet and a radius of 6 feet. The arc is shown in the attached diagram (please see attachment). The central angle subtended by this arc is at point O and has been labeled angle X.

So if the diagram shows arc AB with length 9pi/2 and radius AO with length 6, we can use the formula to compute “Length of an arc” to arrive at the missing angle.

Length of an arc = X/360 x 2pi x radius

Substituting for the known values, our formula can now be re-written as

9pi/2 = X/360 x 2pi x6

By cross multiplication we now have

9pi/2pi x 6 = 2X/360

We simplify as much as possible by dividing all like terms, hence pi divides pi on the left side of the equation. Also 2 divides 360 on the right side of the equation.We now arrive at,

9/12 = X/180

Simplify even further and we have

3/4 = X/180

By cross multiplication we now have

(3 x 180)/4 = X

540/4 = X

135 = X

Therefore the central angle that intercepts the arc measures 135 degrees.

6 0

3 years ago

A tennis racket was originally priced at $125. The tennis racket went on sale and was marked down in

Minchanka [31]

The correct answer is 100$

4 0

3 years ago

For an employee training, the employee to instructor ratio is 18 to 2. If there are 28 instructors for the training, how many em

taurus [48]

Answer:

252

Step-by-step explanation:

18 divided by 2 =9 9x28=252

5 0

2 years ago