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Yuki888 [10]
2 years ago
15

A group of adults and students went on a class trip to Washington, DC. The number of male students was 1 more than 7 times the n

umber of adults. The number of female students was half the number of male students. If the total number of people who went on the trip is 82, find the numbers of male students and female students.
Mathematics
1 answer:
AVprozaik [17]2 years ago
5 0
X number of male students
Y number of female students
Z number of the adults
X=(1 + 7)Z=8Z
Y= X/2
X +Y +Z = 82
8Z +8Z/2 +Z=82 implies Z=82/26=3.1
so we take Z= 3

X= 24
and Y = 12







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The sum of two positive integers, x and y, is not more than 40. The difference of the two integers is at least 20. Chaneece choo
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<span>Chaneece chooses x as the larger number and uses the inequalities y ≤ 40 – x and y ≤ x – 20 to determine the possible solutions.

</span>y ≤ 40 – x, if x must be between 0 and 10, y must be between 20 and 40 <span>it is true
proof
</span><span>for x=0  and y=10,  y ≤ 40 – x equivalent to 10<40-0=40 it is true
</span>x=10, y=30,   <span>y ≤ 40 – x  equivalent to 30=40-10=30 it is true

the answer is </span><span>A) Yes, Chaneece found the correct solution. </span>
5 0
2 years ago
Read 2 more answers
1. Kim works as a book keeper and creates invoices for a variety of companies. Help Kim find the total
Zanzabum

This is about calculation of invoice.

<u><em>1) Total for the invoice = $2641.25</em></u>

<u><em>2) Total for the invoice = $30</em></u>

<u><em>3) Total for the invoice = $1925</em></u>

<u><em /></u>

  • 1) 12 cameras for $200 each

Amount for cameras = 12 × 200 = $2400

25 cables with length of 10 ft each cost $1.25

Amount for 10 ft cables = 25 × 1.25 = $31.25

12 ft specialty cables cost $1.75 per foot

10 of these cables will have length =12 × 10 = 120 ft

Amount for 10 of these cables = 1.75 × 120 = $210

Total for the Invoice = $2400 + $31.25 + $210

Total for the invoice = $2641.25

  • 2) 250 yards of rope costs $500.

Thus, price per yard = 500/250 = $2 per yard

For a customer that wants 15 yard;

Total for the invoice = 15 × $2 = $30

  • 3) Dump truck is rented for $275 per hour. And the minimum is 2 hours per day. This means that anything less than 1 hour, the money paid must be money for 2 hours.

Thus;

On monday; 1 hour will cost; 2 × $275 = $550

On Tuesday; 3 hours will cost; 3 × $275 = $825

On wednesday; 2hours will cost; 2 × $275 = $550

Total for the invoice = 550 + 825 + 550 = $1925

Read more at; brainly.com/question/17745127

8 0
1 year ago
James and Terry open a savings account that has a 2.75% annual interest rate, compounded monthly. They deposit $500 into the acc
katovenus [111]

Answer:

<h2>Option A is the answer(here the answer is calculated taking the whole value, without approximating it to a nearest value)</h2>

Step-by-step explanation:

Annual interest rate is 2.75%. Hence, the monthly interest rate is \frac{2.75}{12}

The amount will be compounded (20\times12) = 240 times.

Every month they deposits $500.

In the first month that deposited $500 will be compounded 240 times.

It will be 500\times [1 + \frac{2.75}{1200} ]^{240}

In the second month $500 will be deposited again, this time it will be compounded 239 times.

It will give 500\times [1 + \frac{2.75}{1200} ]^{239}

Hence, the total after 20 years will be 500\times [1 + \frac{2.75}{1200} ]^{240} + 500\times [1 + \frac{2.75}{1200} ]^{239} + ........+ 500\times [1 + \frac{2.75}{1200} ]^{1} = 160110.6741

7 0
2 years ago
At a particular restaurant, each chicken wing has 80 calories and each
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Answer:

4 Sliders 2 chicken wings

Step-by-step explanation:

4x300=1200 2x80=160

6 0
1 year ago
part 3. Find the value of the trig function indicated, use Pythagorean theorem to find the third side if you need it.​
Nat2105 [25]

Answer:  \bold{9)\ \sin \theta=\dfrac{1}{3}\qquad 10)\ \sin \theta = \dfrac{4}{5}\qquad 11)\ \cos \theta = \dfrac{\sqrt{11}}{6}\qquad 12)\ \tan \theta = \dfrac{17\sqrt2}{26}}

<u>Step-by-step explanation:</u>

Pythagorean Theorem is: a² + b² = c²   , <em>where "c" is the hypotenuse</em>

<em />

9)\ \sin \theta=\dfrac{\text{side opposite of}\ \theta}{\text{hypotenuse of triangle}}=\dfrac{4}{12}\quad \rightarrow \large\boxed{\dfrac{1}{3}}

Note: 4² + (8√2)² = hypotenuse²   →   hypotenuse = 12

10)\ \sin \theta=\dfrac{\text{side opposite of}\ \theta}{\text{hypotenuse of triangle}}=\dfrac{16}{20}\quad \rightarrow \large\boxed{\dfrac{4}{5}}

Note: 12² + opposite² = 20²   →   opposite = 16

11)\ \cos \theta=\dfrac{\text{side adjacent to}\ \theta}{\text{hypotenuse of triangle}}=\dfrac{\sqrt{11}}{6}\quad =\large\boxed{\dfrac{\sqrt{11}}{6}}

Note: adjacent² + 5² = 6²   →   adjacent = √11

12)\ \tan \theta=\dfrac{\text{side opposite of}\ \theta}{\text{side adjacent to}\ \theta}=\dfrac{17}{13\sqrt2}\quad =\large\boxed{\dfrac{17\sqrt2}{26}}

Note: adjacent² + 7² = (13√2)²   →   adjacent = 17

5 0
2 years ago
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