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ryzh [129]
2 years ago
6

In a sample of 60 diners at a restaurant, 12 had ordered an appetizer. If the restaurant serves 800 diners each day, how many ar

e likely to order an appetizer?
Mathematics
2 answers:
ZanzabumX [31]2 years ago
7 0
There are 160 people who are likely to order an appetizer.

In order to find this, you first divide 60 by 12 to get 5. This means 1 out of every 5 people buys an appetizer, so to find how many out of 800 buy an appetizer, you divide 800 by 5. Thus getting 160 as an answer.

I hope this helps!
san4es73 [151]2 years ago
5 0
If im correct i think it should be 160 because i divided 60 by 12 and got 5 the divided 800 by 5 and got 160.
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Find the coordinates of the circumcenter of △PQR with vertices P(−2,5), Q(4,1), and R(−2,−3).
mel-nik [20]

Answer: (1/3,2)

Step-by-step explanation:

Let O(x,y) be the circumference of the triangle PQR,

Thus, by the property of circumcenter all the vertices of the triangle are at same distance from this circumcenter.

Thus, PO = QO

By the distance formula,

(x+2)^2+(y-5)^2 = (x-4)^2+(y-1)^2

\impliesx^2+ 4x + 4 + y^2+ 25 - 10 y = x^2+16 - 8 x + y^2+1 - 2y

\implies 4x + 4 + 25 - 10 y = 16 - 8 x + 1 - 2y

\implies 4x +8x-10y+2y = 16 + 1 -25-4

\implies 12x - 8y = 17 - 29

\implies 12 x - 8 y = - 12---------(1)

Similarly, QO = RO

\implies (x-4)^2 + (y-1)^2 = (x+2)^2+(y+3)^2

\implies x^2 + 16 - 8x + y^2+ 1 - 2y = x^2+ 4 + 4 x +y^2+ 9 + 6 y

\implies 16 - 8x + 1 - 2y = 4 + 4 x + 9 + 6 y

\implies - 8x -4x-2y-6y=4+9-16-1

\implies -12 x - 8 y = 13 - 17

\implies 12 x + 8 y = 4   ------------(2)

By adding equation (1) and (2),

24 x = - 8

x = 1/3

By putting this value in equation (1),

We get,

Thus, 4 - 8 y = -12

8 y = 16

y = 2

7 0
2 years ago
The table shows which school subjects are favored by a group of students. Predict the number of students out of 400 that would p
jonny [76]

Answer:

60

Step-by-step explanation:

First, 3÷20 which equals .15. after do .15×400 to get to 60 students

3 0
2 years ago
Read 2 more answers
PLEASE HELP WILL GIVE BRAINLIEST.
kari74 [83]

Answer:

Choice D

Step-by-step explanation:

For this one I would find if the point lands on the line.

<em><u>Choice A:</u></em>

What we have to do is to plug in -4 for x and 4 for y.

y=2x+10\\(4)=2(-4)+10\\4=-8+10\\4\ne2

The point is not on this line so this cannot be it.

<em><u>Choice B:</u></em>

We pug what we know again.

y=\frac{1}{3}x+1\\(4)=\frac{1}{3}(-4)+1\\(4)=-\frac{4}{3}+1\\4\ne-\frac{1}{3}

The point is not on this line so it can't be it.

<em><u>Choice C:</u></em>

We pug in what we know again.

y=3x-9\\(4)=3(-4)-9\\(4)=-12-9\\4\ne-21

The point is not on this line so it can't be it.

The next one has to be it, but we'll check it just in case.

<em><u>Choice D:</u></em>

We plug in what we know again.

y= \frac{1}{2}x+6\\(4)=\frac{1}{2}(-4)+6\\(4)=-2+6\\4=4

The point is on this line so this is the line.

3 0
2 years ago
Anybody Know This. ?
frosja888 [35]

Answer:

The answer is the third option from the top:

0, 0, 11, 15, 26, 32, 45, 46, 46, 46, 60, 71, 84, 88

4 0
2 years ago
Which three lengths CANNOT be the lengths of the sides of a triangle? A. 23 m, 17 m, 14 m B. 11 m, 11 m, 12 m C. 5 m, 7 m, 8 m D
Mariulka [41]
D. 21cm because you divide all sides by 2 then get your slope form and multiply by seven
7 0
3 years ago
Read 2 more answers
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