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2 years ago

The price of an Item has been reduced by $5.09. The new sale price is $41.03. What was the original price?

Mathematics

1 answer:

Orlov [11]2 years ago

8 0

Answer:

the original price was $46.12

Step-by-step explanation:

if you add 5 back to that number.

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Find the value of x?

galben [10]

X=4.1

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6 0

3 years ago

The mathematics department of a college has 15 male professors, 9 female professors, 6 male teaching assistants, and 12 female t

Vesnalui [34]

Given:

The number of male professors = 15.

The number of female professors = 9.

The number of male teaching assistants = 6.

The number of female teaching assistants = 12.

A person is selected randomly from the group.

Required:

We need to find the probability that the selected person is a professor or a male.

Explanation:

The total number of people in the group = 15+9+6+12 = 42

n(S) =The total number of people in the group

$n(S)=42$

Let A be the event that the selected person is a professor or a male.

The number of people who are professors or male = 15+9+6 = 30

n(A)= The number of people who are professors or male.

$n(A)=30$

Let P(A) be the probability that the selected person is a professor or a male.

$P(A)=\frac{n(A)}{n(S)}$ $P(A)=\frac{30}{42}$ $P(A)=\frac{15}{21}=\frac{5}{7}$

Final answer:

The probability that the selected person is a professor or a male is 5/7.

7 0

1 year ago

I’m Atlanta, the tax on a property assessed at $930,000 is $19,530. If tax rates are proportional in this city, how much would t

igomit [66]

Answer:

The tax on property assessed at $660,000 is $13860 .

Step-by-step explanation:

Given:

In Atlanta the tax on a property assessed at $930,000 is $19,530.

The tax rates are proportional to this city.

Now, to find the tax on a property assessed at $660,000.

So, we need to get the tax rate of Atlanta first.

Tax Rate = Tax / Property assessed × 100.

$Tax\ rate=\frac{19530}{930000} \times 100$

$Tax\ rate=0.021 \times 100$

$Tax\ rate=2.1\%$

According to question the tax rates are proportional.

So, for getting the tax in this city we use the same rate of Atlanta:

Tax = tax rate of property assessed.

$Tax = 2.1\% of\ \$660,000$

$Tax = \frac{2.1}{100}\times 660000.$

$Tax = 0.021\times 660000$

$Tax=\$13860$

Therefore, the tax on property assessed at $660,000 is $13860.

6 0

3 years ago

Determine the kinetic energy of a 1000 kg roller coaster car that is moving with a speed of 20.0 m/s

Vedmedyk [2.9K]

KE = 0.5*m*v2 KE = (0.5) * (1000 kg) * (20 m/s)2

3 0

3 years ago

Two numbers have these properties:

almond37 [142]

Answer:

$12\ and\ 30$

Step-by-step explanation:

Given both numbers are greater than 6

Their HCF is 6

Their LCM is 60

The product of the HCF and LCM of two numbers is the same as the product of the numbers themselves.

Let us say those number are $a$ and $b$

$a\times b=6\times 60\\a\times b=360$

So, the product of those number is $360$

Let us factorize $360$

$360=1\times 2\times 2\times 3\times 5\times 6$

It is given that number should be greater than 6

The possible pairs of number are $(10,36)\ and\ (12,30)$

But only $(12,30)$ has LCM as 60.

So those numbers are $12\ and\ 30$

5 0

3 years ago