How many days are in an hour?

After 24 pencil had sharpened, the pencil sharpener receptacle is full. If receptacle is emptied in average of twice a day, how

stiks02 [169]

Answer:

12 Pencils Sharpened

Step-by-step explanation:

Since the sharpener receptacle is emptied out 2 times every day.

Do 24*2 to get 48 pencils sharpened each day.

Now do 48/20 to get how many pencils a single person sharpens each day. Resulting in 2.4 pencils each day for 1 person.

Multiple 2.4 by 5 (Amount of days) to get 12 pencils in 5 days.

4 0

3 years ago

Simplify a^2-3a/a^3-8a^2+12a to lowest terms

svetoff [14.1K]

In order to simplify a fraction, we have to find a common factor in both numerator and denominator. So, let's start by factor the expressions completely: at the numerator we have

$a^2-3a = a(a-3)$

At the denominator we have

$a^3-8a^2+12a = a(a^2-8a+12) = a(a-2)(a-6)$

So, the fraction can be written as

$\dfrac{a(a-3)}{a(a-2)(a-6)}$

You can see that there is a factor $a$ in common, that can be simplified:

$\dfrac{a(a-3)}{a(a-2)(a-6)} = \dfrac{a-3}{(a-2)(a-6)}$

3 0

3 years ago

Abigail is raising money for a school trip by selling bags of chips and packs of cookies. The price of each bag of chips is $1.5

Mkey [24]

The number of bags of chips sold is 8 and the number of packs of cookies sold is 12

<em><u>Solution:</u></em>

Let "a" be the number of bags of chips sold

Let "b" be the number of packs of cookies sold

Given that,

Cost of one bag of chips = $ 1.50

Cost of one pack of cookies = $ 1.25

Yesterday Abigail made $27 from selling a total of 20 bags of chips and packs of cookies

<em><u>So we can frame a equation as:</u></em>

Number of bags of chips sold + number of packs of cookies sold = 20

a + b = 20 ---- eqn 1

Also given that Abigail made $27 from selling

number of bags of chips sold x Cost of one bag of chips + number of packs of cookies sold x Cost of one pack of cookies = $ 27

$a \times 1.50 + b \times 1.25 = 27$

1.5a + 1.25b = 27 ---- eqn 2

<em><u>Let us solve eqn 1 and eqn 2 to find values of "a" and "b"</u></em>

From eqn 1,

a = 20 - b ---- eqn 3

Substitute eqn 3 in eqn 2

1.5(20 - b) + 1.25b = 27

30 - 1.5b + 1.25b = 27

-0.25b = -3

Therefore from eqn 3,

a = 20 - b = 20 - 12 = 8

number of bags of chips sold = 8

number of packs of cookies sold = 12

3 0

3 years ago

Select the correct verbal description for the expression below.

Alexxandr [17]

$HEY THERE!!$

I think the correct answer is
D.
the product of x and a factor depending on x

SORRY if I am wrong.

4 0

3 years ago

Read 2 more answers

Here is an equation and all the steps Clare and Lin took to solve it. Are both of their solutions correct? Explain your reasonin

givi [52]

Answer:

Both solutions are correct

Step-by-step explanation:

Given

Expression:

$14x - 2x +3 = 3(5x + 9)$

See attachment for Clare and Lins' solution

Required

Determine if they are correct or not

$14x - 2x +3 = 3(5x + 9)$

Open bracket

$14x - 2x + 3 = 15x + 27$

Collect like terms

$14x - 2x -15x = -3 + 27$

$-3x = 24$

Divide by -3

$x = \frac{24}{-3}$

$x = -8$

<em>Both solutions are correct</em>

8 0

3 years ago