When might it be useful to know how to find the area of a real-life composite figure?

Answers

Answer 1
Answer: If you choose to become an architect, then you will need it all the time. You would need to find the area of the floors, walls, etc. which will almost always be composite figures.

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Harriest makes yo-yos. she needs 38 inches of string for each yo-yo. How many yo-yos can she make with 875 inches of string? How many inches of string will be left over?

Answers

Harriest would make 28 yoyos. She would have about one inch of string remaining
875/38=  23.0263157895

When the siren sounded, 440 were seen walking in the forest. If the other 360 were not seen, what fraction of the total was seen?

Answers

Fraction of the total was seen=(number of people were seen ) /(Total number of people)

Data:
number of people were seen=440
Total number of people=people saw +people didn´t see=440+360=800

Fraction of the toatal was seen=440/800=11/20

Answer: 11/20.

I got 11/9 as the answer :)

Elsa ran 7 out of 10 days. what percent of those days does she run

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She ran 70% of the days in the week. 7/10=70%

Write the set {14,21,28,35,42,98} in the set-builder form

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To solve this problem you must apply the proccedure shown below: 
 1. You have the following set {14,21,28,35,42...98}.
 2. As you can see, the numbers are multiples of 7 and they are greater than 7 and less than 100. 
 3. Therefore, you can write the set, which we will call Z, in the set-builder form as following: 
 Z={x:x 
∈ N, x is multiple of 7 greater than 7 and less than 100}
 The answer is: Z={x:x ∈ N, x is multiple of 7 greater than 7 and less than 100}

Final answer:

The set {14, 21, 28, 35, 42, 98} can be written in the set-builder form as {x | x is a multiple of 7, 14 ≤ x ≤ 98} signifying all multiples of 7 between 14 and 98.

Explanation:

The given set is {14, 21, 28, 35, 42, 98}. To write this set in set-builder notation, we need to find a common property that all the elements of the set share. An initial examination of the set shows that all numbers are multiples of 7. Hence, we can say that the set represents all multiples of 7. Here, we can see that 98 is the maximum number in the set. Thus, this allows us to put an upper boundary on the set.

Therefore, the given set can be written in set-builder form as: {x | x is a multiple of 7, 14 ≤ x ≤ 98}. This reads as 'the set of all x such that x is a multiple of 7 and x is between 14 and 98, inclusive'.

Learn more about Set-Builder Notation here:

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Sammy picks blueberries and cherry tomatoes. • She earns $3.00 for each pint of blueberries and $2.00 for every pint of cherry tomatoes she picks.
• Sammy earned a total of $28.00.
• She picked twice as many pints of tomatoes as blueberries.
How many pints of blueberries did Sammy pick?

Answers

Answer:

Step-by-step explanation:

b = pints of blueberries

c = pints of cherry tomatoes

3b + 2c = 28

2b = c

First, substitute 2b into the c of the first equation.

3b + 2(2b) = 28

3b + 4b = 28

7b = 28

b = 4

Then, substitute 4 into the b of the second equation.

2(4) = c

c = 8

Then, substitute both values into the first equation to check.

3(4) + 2(8) = 28

12 + 16 = 28

Two integers, a and b have product of -48 what is the greatest possible sum of a and b.

Answers

The factors of 48 are:
1 x 48
2 x 24
3 x 16
4 x 12
6 x 8
and visa versa:   48 x 1  etc.

To make the product negative, one of the factors has to be positive and one has to be negative.  To find the greatest sum, make the bigger number the positive factor and the smaller number the negative factor.  So, -1 x 48 = -48 and the sum of -1 + 48 = 47 which would be the greatest possible sum.