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Norma-Jean [14]

3 years ago

10

A bottle of hand lotion is on sale for 2.25.if the price represents a 50percent discount from the original price,what is the ori

ginal price to the nearest cent?

1 answer:

Flura [38]3 years ago

5 0

Answer: $4.50

Step-by-step explanation: If it is 50% off then you take the price of $2.25 and double it. So 2 times $2.25 which is $4.50.

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Determine if events A and B are mutually exclusive.

gladu [14]

Answer:

A) Not mutually exclusive

Step-by-step explanation:

Given

$P(A) = \frac{1}{4}$

$P(B) = \frac{3}{5}$

$P(A\ or\ B) = \frac{7}{10}$

Required

Determine if they are mutually exclusive or not

Mutually exclusive are defined by:

$P(A\ or\ B) = P(A) + P(B)$

So, we have:

$P(A\ or\ B) = \frac{1}{4} + \frac{3}{5}$

Take LCM

$P(A\ or\ B) = \frac{5+12}{20}$

$P(A\ or\ B) = \frac{17}{20}$

By comparing:

$P(A\ or\ B) = \frac{17}{20}$ ---- Calculated

$P(A\ or\ B) = \frac{7}{10}$ ---- Given

We can conclude that A and B are not mutually exclusive because:

$\frac{17}{20} \ne \frac{7}{10}$

6 0

3 years ago

ace bike rentals rents bikes for $28 per day. Renters can keep the bike for 8 hours. Bart's bikes rents bikes for $30 per day. R

lyudmila [28]

Bart company charges a lower rate. It is lower by rate $ 0.5 per hour

<h3><u>Solution:</u></h3>

Given that Ace bike rentals rents bikes for $28 per day. Renters can keep the bike for 8 hours

Also given that Bart's bikes rents bikes for $30 per day. Renters can keep the bike for 10 hours

To find: company that charges lower rate

Let us find the hourly rate of Ace and Bart

$\text {hourly rate }=\frac{\text { Rental price }}{\text { total time in a day }}$

<em><u>Hourly rate of Ace company:</u></em>

Rental price = $28

total time in a day 8 hours

$\text {hourly rate }=\frac{28}{8}=3.5$

So the hourly rate of Ace company is $ 3.5 per hour

<em><u>Hourly rate of Bart company:</u></em>

Rental price = $ 30

total time in a day 10 hours

$\text {hourly rate }=\frac{30}{10}=3$

So the hourly rate of Bart company is $ 3 per hour

<em><u>Comparing hourly rate of both companies</u></em>

Ace company is $ 3.5 per hour

Bart company is $ 3 per hour

Bart company < Ace company

3 < 3.5

Thus bart company charges a lower rate

<h3><em><u>How much lower?</u></em></h3>

hourly rate of Ace company - hourly rate of Bart company = 3.5 - 3 = 0.5

So, it is lower by rate $0.5 per hour

6 0

3 years ago

What is the inverse operation of cubed power

aleksley [76]

The inverse operation is a cubed root. It is a square root symbol with a small 3 to the left of the radical. The cubed root of x is a number, when cubed, gives x. For example, $\sqrt[3]{8} =2$ .

6 0

3 years ago

Mr. Hartman, the school librarian, is ordering new keyboards and mice for all of the school's computer labs. Each keyboard costs

mario62 [17]

Answer:

3 * 20s

Step-by-step explanation:

In order to find out how much Mr. Hartman will spend in total we first need to multiply the price of the keyboard and mouse by the number of computers in a single computer station. Once we have these products we add them together. Finally, we multiply this new value by 3 since there are a total of 3 computer stations. If we turn this into an expression it would be the following...

3 * (13.50s + 6.50s)

We can even simplify this by first adding the cost of the keyboard and mouse and then multiplying by s

3 * 20s

6 0

3 years ago

Which phrase describes the variable expression 11 • X?

Anvisha [2.4K]

Answer:

B or C

Step-by-step explanation:

if its refering to the answer of 11 × X then the answer is C, but if its not the answer might be B.

6 0

2 years ago