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3 years ago

Write an expression in simplest form. The sum of the cost of d dinner and a $12 tip divided equally between 3 people

Mathematics

2 answers:

stiv31 [10]3 years ago

8 0

How Much did the dinner cost? 12 divided by 3 = 4 So each person would pay 4$ for the tip.

Brrunno [24]3 years ago

6 0

$4.00 per person will need to pay. for the tip

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Solve the problem.

In-s [12.5K]

Answer:

16.9%

Step-by-step explanation:

Let's find the answer by using the following formula:

final people=(initial people)+((initial people)*(percent increase)) which can be written as:

percent increase=((final people)-(initial people))/(initial people) so:

percent increase=(83-71)/71=0.169=16.9%

In conclusion, the percent increase is 16.9%.

4 0

3 years ago

The population of a particular city is given by the function P(t) = 27,400(1.07)t, where t is the time in years and P(t) is the

otez555 [7]

Answer:

27,400 is the current population

7% is the rate of increase

The new size is:

38,430 is the population if t is an exponent

146,590 is t is NOT an exponent in the formula you typed

Step-by-step explanation:

To find the population in a future year, use the formula:

$P(t) = 27,400(1.07)t$

Substitute the value t=5 to find the population in 5 years.

$P(t) = 27,400(1.07)t\\P(t) = 27,400(1.07)(5)\\P(t) = 146,590$

Or if the equation is supposed to have t as an exponent then look below:

$P(t) = 27,400(1.07)^t$

Substitute the value t=5 to find the population in 5 years.

$P(t) = 27,400(1.07)^t\\P(t) = 27,400(1.07)^(5)\\P(t) = 38,430$

This formula is based off the standard formula $A=A_0(1+r)^t$ so r, the rate is 1.07=1+0.07 so r is 7%.

$A_0$ is the starting population which is 27,400 here.

4 0

3 years ago

Combine the like terms to create an equivalent expression<br> -k - ( - 8k)

Svetllana [295]

____________________________________________________

Answer:

____________________________________________________

Step-by-step explanation:

We are trying to combine like terms with the expression: -k - ( - 8k)

We are pretty much solving it.

Solve:

-k - ( - 8k)

The "- ( -" turns into a plus sign.

So it would look like:

-k - -8k or -k + 8k

Now, you would finish solving

-k + 8k = 7k

____________________________________________________

3 0

3 years ago

Read 2 more answers

Binomial Probability

ASHA 777 [7]

Answer:

4.39% theoretical probability of this happening

Step-by-step explanation:

For each coin, there are only two possible outcomes. Either it lands on heads, or it lands on tails. The probability of a coin landing on heads is independent of other coins. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

Theoretically, a fair coin

Equally as likely to land on heads or tails, so $p = \frac{1}{2} = 0.5$

10 coins:

This means that $n = 10$

What is the theoretical probability of this happening?

This is P(X = 2).

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 2) = C_{10,2}.(0.5)^{2}.(0.5)^{8} = 0.0439$

4.39% theoretical probability of this happening

6 0

3 years ago

Hi guys please help! Write the unit rate per pillow.

katrin2010 [14]

Answer:

$16.25 for 1 pillow

Step-by-step explanation:

To find the cost of 1 pillow divide 65 by 4.

65/4 = 16.25

6 0

3 years ago

Read 2 more answers