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Ksenya-84 [330]
4 years ago
8

Carlos wants to buy some new video games. Each game he buys costs him 36$. Is the relationship between the number of games carlo

s buys and the and the total proportional?
Mathematics
1 answer:
baherus [9]4 years ago
5 0

Answer:

Yes.

Step-by-step explanation:

In a direct proportional relationship, as one object gets larger, the other object gets larger as well. This fits that definition, as when the amount of video games bought increases, so does the amount of money spent.

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Susan had 8/9 acres of land. She planted 2/5 of it with corn. How many acres did she plant with corn?
Sergio039 [100]
\bf \textit{how much is }\frac{2}{5}\textit{ of }\frac{8}{9}?\implies \cfrac{8}{9}\cdot \cfrac{2}{5}\implies \cfrac{16}{45}

that's how many acres she planted with corn.
6 0
3 years ago
Which parent function is f(x) = |x|?
Levart [38]

Answer:

B. The absolute value parent function

Step-by-step explanation:

f(x)=|x|

Referred to as absolute value, the value inside the bars is measured in terms of its distance from 0. Therefore:

|0|=0\\|3|=3\\|-3|=3

In essence, a negative value within the bars becomes positive, while a positive value remains positive.

6 0
3 years ago
The cost of turkey is directly proportional to its weight. If a 12-pound turkey costs $27, how much does a 16-pound turkey cost?
Reptile [31]

Answer:

D

Step-by-step explanation:

27/12= 2.25

2.25*16=36

6 0
3 years ago
First, he needs to run to the store. To get to the store from his apartment, he can walk 1.2 miles North and 0.5 miles East alon
Pachacha [2.7K]

Answer:

If Henry walks along the sidewalks, he will walk 1.7 miles in total. It will take him 17 minutes to reach the store and another 17 minutes to come back.

If Henry cuts through the city, he will walk √(1.2² + 0.5²) = 1.3 miles in total. It will take him 22.3 minutes to reach the store and another 22.3 minutes to come back.

Even though Henry will need to walk a longer distance if he walks along the sidewalks, he will be able to reach the store and back back in a shorter time than if he cuts through the city.

6 0
3 years ago
For a group of 100 people, compute(a) the expected number of days of the year that are birthdays of exactly 3 people.(b) the exp
Scilla [17]

Answer:

Step-by-step explanation:

Leaving leap years, a year contains 365 days.

For a group of 100 people, each person is independent of the other and probability of any day being his birthday has a chance of

\frac{1}{365}

a) Probability that  exactly 3 people have same birthday = \frac{1}{365^3}

Each day is independent of the other

And hence no of days having exactly 3 persons birthday out of 100 persons is binomial with n = 365 and p = \frac{1}{365^3}

Expected value of days = np = \frac{1}{365^2}

b) Distinct birthdays is binomail with p =1/365 and n = 365

Hence

expected value = np =1

4 0
4 years ago
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