The sum of two numbers is 57 and the difference is 7. What are the numbers?

Answer:

[tex]\sqrt{28}[/tex]

Step-by-step explanation:

It is given that the triangle (QRS) is right, thus one can use the Pythagorean theorem to solve this problem. The Pythagorean theorem states,

[tex](a)^2+(b)^2=(c)^2[/tex]

Where (a) and (b) are the legs or the sides adjacent to the right angle and (c) is the hypotenuse or the side opposite the right angle. The unknown side in the triangle is a leg, thus, let (b) represent this value. Substitute in the given values and solve,

[tex](6)^2+(b)^2=(8)^2\\\\36+b^2=64\\\\b^2=28\\\\b=\sqrt{28}[/tex]

By observing the frequency polygon,

the number of 15 year old students who took part in the survey are 300.

A frequency polygon is almost identical to a histogram, which is used to compare sets of data or to display a cumulative frequency distribution. It uses a line graph to represent quantitative data.

To calculate the number of students, we add all frequency points corresponding to the time intervals.

Learn more about frequency polygon here

https://brainly.com/question/1581651

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Answer:

After eight hours 6,561 people will know the rumor.

Step-by-step explanation:

Since each hour, every person who knows a rumor tells two other people, so that if one person starts the rumor, then after the first hour, three people know the rumor, and the next hour, those three people each tell two more people, to determine after eight hours, how many people will know the rumor, the following calculation must be performed:

Hour 0 = 1

Hour 1 = 1 + 2 = 3

Hour 2 = 3 + 2 x 3 = 9

Hour 3 = 9 + 2 x 9 = 27

Hour 4 = 27 + 2 x 27 = 81

Hour 5 = 81 + 2 x 81 = 243

Hour 6 = 243 + 2 x 243 = 729

Hour 7 = 729 + 2 x 729 = 2,187

Hour 8 = 2,187 + 2 x 2,187 = 6,561

Therefore, after eight hours 6,561 people will know the rumor.

Answer:

Number 1: 1 2/4 or 1 1/2

Number 2: 2 4/6

Number 3: 5/6

Step-by-step explanation:

For Numbers 1 and 2... You'd have to separate the whole number from the fraction and subtract accordingly.

Number 1: 2-1=1 and 3/4-1/4=2/4

So you would get 1 2/4.

Number 2: 3-1=2 and 5/6-1/6=4/6  

You would get 2 4/6

For Number 3 you would have to find the LCD (Least common denominator) for 1/2 and 2/3.

The answer will then be 5/6.

(I couldn't solve number 4 because it wasn't visible.)

I hope I helped! Leave a rating and a Thanks below. :D

Answer:

Step-by-step explanation:

Answer:

Sine= opp/hyp the oppisite is 27, and the hypotnuse is 45, so the sin of Z is 27/45

Step-by-step explanation:

Answer:

P deceased by the total of q and r

Answer:

The answer is: p-(q+r)

Hope that helps. I just did it on my test and I got it right :D

Hey there!

-3(c+2)+d(c+5)

All you have to do is DISTRIBUTE

-3(c) + (-3)(2) + d(c) + d(5)

-3c - 6 + cd + 5d

SOLVE ABOVE and you have your ANSWER

Answer: cd - 3c + 5d - 6

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

Let me get my homie on here to help you.

Step-by-step explanation:

Answer:

g(x) = |x+3|-2

Step-by-step explanation:

to move horizontally replace each x with (x ± c)

if you move it to the right, you need x - c

if you move it to the left , you need x + c

so , since we are moving 3 units to the left, we replace the x with x+3

g(x) = |x+3|-2

Answer:

b

Step-by-step explanation:

first, group the terms with the same power together and it would become (-9n⁵-4n⁵)+(n³-9n³)+(11n+6n). then, combine the terms in each group together which would get -13n⁵-8n³+17n as the answer

Answer:

k = [tex]5\frac{1}{3} ,7\frac{1}{3}[/tex]

Step-by-step explanation:

|19 - 3k| = 3

-3k = 3 - 19

-3k = -16

k = 16/3

k = 5 1/3

-19 + 3k = 3

3k = 3 + 19

3k = 22

k = 22/3

k = 7 1/3

Answer:

subtract 7 and then divide them

Answer:

Cost A = 125 + 50t

Cost B = 200 + 25t

Step-by-step explanation:

Answer:

Cost A = 125 + 50t

Cost B = 200 + 25t

Step-by-step explanation:

(2,200) And also the graph

Answer: I think it would be 285.

Step-by-step explanation:

A circle is 360* so I did 360-75. Hope this helps!!!

Answer:

E and H are the correct answers

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

Find the number by dividing 75 by 3, since 75 is the number tripled.

75/3

= 25

So, 300% of 25 is 75.

Answer:

25

Step-by-step explanation:

300% * x = 75

300/100 * x = 75

x = 75 * 100/300

x = 25

Answer:

To review, the rigid motions are translations (slides), rotations (spins/turns), and reflections (flips). All of these types of motions occur without changing the shape of the object or figure being moved.

Step-by-step explanation:

Answer:

8955$

It got deleted because an idiot reported me.

Answer:

the answer be 19 .. also u can use photomath I gives u answers and tells u how ro do them

Answer:

47 liter 14+14+23

Step-by-step explanation:

14+14+23=47

Answer:

the awnsers 51

Step-by-step explanation:

you do (14x2)=28+23=51

Answer:

the answer is B.336

Step-by-step explanation:

got it right on ed

There are 336 different ways are there to present those ribbons if the order matters.

A combination is a mathematical technique that determines the number of possible arrangements in a collection of items where the order of the selection does not matter.

Eight students are competing for a blue, red, and yellow ribbon for their agriculture project.

Different ways are there to present those ribbons if the order matters.

By permutations, we have to calculate the number of different  ways to arrange the ribbon is;

[tex]=3 \times 2\times 1\\\\=6[/tex]

Now, we have to calculate the different  ways to choose 3 winners from 8 is;

[tex]=8\times 7\times 6\\\\=336[/tex]

Therefore, the correct option is (b), 336 ways are there to present those ribbons if the order matters.

For more details about the combination refer to this link:

brainly.com/question/1216161

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Answer:

Hm

Step-by-step explanation:

Answer:

D is the answer.

Step-by-step explanation:

D is basically telling us the y intercept.

A is wrong because the report is about Joyce classmates, not just herself.

B is weo g because it shows the x intercept not y intercept.

C is wrong because her amount of times is undefinable.