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3 years ago

Which expression is equivalent to 7(a+2) when a=6? 7(6) 9(6) 7(6)+2 7(6)+14

2 answers:

4 0

7(6)+14

This could be seen as the answer because the 7 has already been distributed to the two which is just 7*2 which is 14. The problem then gives you what a equals so 7(6)+14 would still equal out as if it were 7(6+2).

For a better explanation you could see that 7(6)+14 simplifies ti 42+14 which then equates to 56. You can the. Do the given expression 7(6+2) and simplify and get 7(8) then multiply and you’ll get 56 once again.

Pie3 years ago

3 0

It is equivalent to 7(6) + 14

Step-by-step explanation:

Step 1: Solve 7(a + 2) when a = 6

⇒ 7 (6 + 2) = 7 × 8 = 56

Step 2: Find its equivalent

7(6) + 14 = 42 + 14 = 56

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Landon is driving a constant speed of 55 mph at that rate how long will it take to him to drive 275 miles

iVinArrow [24]

It will take 5 hours.

Divide 275 by 55 = 5

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3 years ago

Katie has a loan balance of $5,000 with a 15% APR. She will take 3 years to pay it off, making her monthly payments $201.39. How

Jet001 [13]

Answer:

Step-by-step explanation:

Monthly Payments = 201.39

3 years = 3 * 12 = 36 months

Total she will pay:

201.39 * 36 = $7250.04

Original Loan amount was $5000

She is paying a total of 7250.04

The extra amount (interest) is:

7250 - 5000 = $2250.04

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3 years ago

When Ryan is serving at a restaurant, there is a 0.75 probability that each party will order drinks with their meal. During one

Triss [41]

Answer:

0.82 = 82% probability that at least one party will not order drinks

Step-by-step explanation:

For each party, there are only two possible outcomes. Either they will order drinks with their meal, or they will not. The probability of a party ordering drinks with their meal is independent of other parties. So the binomial probability distribution is used 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.

When Ryan is serving at a restaurant, there is a 0.75 probability that each party will order drinks with their meal.

This means that $p = 0.75$

During one hour, Ryan served 6 parties. Assuming that each party is equally likely to order drinks, what is the probability that at least one party will not order drinks?

6 parties, so n = 6.

Either all parties will order drinks, or at least one will not. The sum of the probabilities of these events is decimal 1. So

$P(X = 6) + P(X < 6) = 1$