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3 years ago

7. The Quotient

Mathematics

1 answer:

nasty-shy [4]3 years ago

3 0

Answer:

<h3>The number is 500</h3>

Step-by-step explanation:

Let the number be x

The quotient of a number divided by five is written as

$\frac{x}{5}$

the number decreased by 400 is written as

x - 400

Equate the two expressions

We have

$\frac{x}{5} = x - 400$

Multiply through by 5

That's

x = 5x - 2000

x - 5x = - 2000

- 4x = - 2000

Divide both sides by - 4

x = 500

Hope this helps you

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REY [17]

Answer:

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Step-by-step explanation:

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3 years ago

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Hannah is setting up chairs for the class play. The room has 20 chairs. What are the different ways she can arrange the chairs i

andrezito [222]

Answer:

Have them 4 by 5.

Step-by-step explanation:

If you she but 5 chairs in a row, then 3 on the side of the chairs. That would create a backward "L" type of shape.

For example, (The "o" is a chair)

OOOOO

As you see the the top are the 5 chairs, then side are are the 4 chairs.

Then, you will do the exact same thing but on the opposite side.

Here is the next example.

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Basically, arranging the chairs 4x5, it would make a rectangle.

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3 years ago

You have one type of nut that sells for $4.50/lb and another type of nut that sells for $8.80/lb. You would like to have 12.9 lb

butalik [34]

Answer:

The quantity of first nut = x = 2.4 lb

The quantity of second nut = 12.9 - x = 12.9 - 2.4 = 10.5 lb

Step-by-step explanation:

Let amount of first type of nut = x

Amount of second type of nut = 12.9 - x

Total Cost of first type of nut = 4.5 x

Total Cost of second type of nut = 8.8 × (12.9 - x)

Total cost of both type of nut = 8 × 12.9

Total cost = Cost of first type of nut + Cost of second type of nut

8 × 12.9 = 4.5 x + 8.8 × (12.9 - x)

103.2 = 4.5 x + 113.52 - 8.8 x

8.8 x - 4.5 x = 10.32

4.3 x = 10.32

x = 2.4

Therefore the quantity of first nut = x = 2.4 lb

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3 years ago

A university has 10,000 students of which 55% are male and 45% are female. if a class of 30 students is chosen at random from th

irina [24]

Information provided:

Sample size, n = 30 students
P(Male), P(m) = 55% = 0.55
P(Female), P(f) = 45% = 0.45

Now,
Mean = nP(m) = 30*0.55 = 16.5 ≈ 17 students

Variance = (sd)^2 = nP(m)P(f) = 30*0.55*0.45 = 7.425 ≈ 8 students

8 0

3 years ago

The equation 22 = 2y + x represents the perimeter of a flower garden with

iren [92.7K]

Answer:

$y = \frac{22-x}{2}$

For width = 2 ft, the length of the flower bed = 10 ft.

For width = 3 ft, the length of the flower bed = 9.5 ft.

For width = 4 ft, the length of the flower bed = 9 ft.

Step-by-step explanation:

Here, the Perimeter of the flower garden is given as

22 = 2 y + x

: where, y : Length of the garden

and x : Width of the garden .

Now, solving for y in the above expression,we get

22 = 2 y + x ⇒ 22 - x = 2 y

or, $y = \frac{22-x}{2}$

Now, <u>when the width (x) = 2 feet</u>

Length of the flower bed $y = \frac{22-x}{2} = \frac{22-2}{2} = \frac{20}{2} = 10$

or, x = 10 ft

⇒For, the width = 2 ft, the length of the flower bed = 10 ft.

<u>when the width (x) = 3 feet</u>

Length of the flower bed $y = \frac{22-x}{2} = \frac{22-3}{2} = \frac{19}{2} = 9.5$

or, x = 9.5 ft

⇒For, the width = 3 ft, the length of the flower bed = 9.5 ft.

<u>when the width (x) = 4 feet</u>

Length of the flower bed $y = \frac{22-x}{2} = \frac{22-4}{2} = \frac{18}{2} = 9$

or, x = 9 ft

⇒For, the width = 4 ft, the length of the flower bed = 9 ft.

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3 years ago