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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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Grace [21]

Both Parts
First, we need to know what the price is 50% off. To find this, we just need to multiply 49.99 by 50%'s decimal value (0.5).

49.99
x .5
≈25.00

Part A
To find sales tax, we should multiply the number by the percent's decimal value. In this case, it is an 8% sales tax, which has a decimal value of 0.08.

25.00
x0.08
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Using the math above, we can see that the sales tax was $2.00.

Part B
To solve for this, we need to add the sales tax back to the original price.

25.00
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Using the math above, we can see that the total price for the headphones is $27.00.

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3 years ago

When Joey dives off a diving board, the equation of his pathway can be modeled by h = -16t2 + 15t + 12. A) Find Joey's maximum h

sergeinik [125]

Answer:

a) 15.52ft

b) 0.47 secs

Step-by-step explanation:

h = -16t^2 + 15t + 12

The maximum height is reached after -b/2a seconds

a = -16 , b = 15, c= 12

-b/2a = -15/2(-16)

= -15/-32

= 0.47 secs

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= -3.5344 + 7.05 + 12

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= 15.52ft

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4 years ago

Consider the circle (x-4)^2 + (y-1)^2 =9. There are two lines tangent to this circle having a slope of 0. (Hint: graph the circl

r-ruslan [8.4K]

Answer:

part a. (4, 4) (4, -2)

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Graph the 4 and 1 from (x-4)^2 + (y-1)^2 = 9

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4 years ago

eliot counts a group of coins staring with the quarters his sister counts the same coins she counting the pennies wiil they get

zalisa [80]

Answer: No, they would not get the same amount.

Step-by-step explanation:

Let the number of coins be x

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As we know that

$1\ quarter=25\ cents$

So, Number of amount Eliot counts with the quarters is given by

$25\times x=25x\ cents$

Similarly, His sister counts the same coins she counting the pennies .

As we know that

$1\ penny=1\ cent$

So, Total amount his sister counts with the pennies is given by

$1\times x=x\ cents$

But we can see that

$25x\ cents\neq x\ cents$

Hence, No, they would not get the same amount.

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3 years ago

a major arranges his soliders in rows to form a perfect square 40 soliders are left out if the total no. of soliders are 6281, f

LUCKY_DIMON [66]

Answer:

79 soldiers

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Since 40 soldiers were not included in the square, the square consists of 6241 soldiers. 6241 represents the area of the square, and the rows (r) represents a side of the square. Since the area of a square = the length of the side squared, then $6241 = r^{2}$ .

So $r = \sqrt{6241}$

r = 79

8 0

3 years ago