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larisa86 [58]
3 years ago
5

Given that S is the centroid of triangle MNO, find SQ.

Mathematics
1 answer:
Katyanochek1 [597]3 years ago
5 0
For triangle MNO with centroid S where is the point Q ?
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Hamza has Dh 98.99. Kareem has Dh3.72. Ayesha
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7 0
3 years ago
The John Jay Theater Dept has tickets at $6 for adults, $4 for teachers, and $2 for students. A total of 280 tickets were sold f
OleMash [197]

Answer:

number of adults tickets sold = x = 90

number of teachers tickets = y = 45

number of students tickets = z = 145

Step-by-step explanation:

Cost of tickets

Adults = $6

Teachers = $4

Students = $2

Total tickets sold = 280

Total revenue = $1010

Let

x = number of adults tickets

y = number of teachers tickets

z = number of students tickets

x + y + z = 280

6x + 4y + 2z = 1010

If the number of adult tickets sold was twice the number of teacher tickets

x = 2y

Substitute x=2y into the equations

x + y + z = 280

6x + 4y + 2z = 1010

2y + y + z = 280

6(2y) + 4y + 2z = 1010

3y + z = 280

12y + 4y + 2z = 1010

3y + z = 280 (1)

16y + 2z = 1010 (2)

Multiply (1) by 2

6y + 2z = 560 (3)

16y + 2z = 1010

Subtract (3) from (2)

16y - 6y = 1010 - 560

10y = 450

Divide both sides by 10

y = 450/10

= 45

y = 45

Substitute y=45 into (1)

3y + z = 280

3(45) + z = 280

135 + z = 280

z = 280 - 135

= 145

z = 145

Substitute the values of y and z into

x + y + z = 280

x + 45 + 145 = 280

x + 190 = 280

x = 280 - 190

= 90

x = 90

Therefore,

number of adults tickets sold = x = 90

number of teachers tickets = y = 45

number of students tickets = z = 145

5 0
3 years ago
Which of the following equations shows how substitution can be used to solve the following
slega [8]

Answer:

Step-by-step explanation:

the  y=   equation shows how... b/c we can just plug y into the 2nd equation and eliminate y and have one variable, x , to solve for  :)

8 0
2 years ago
Talisa plans a 6-foot deep pond. While digging, she hits rock 5 feet down. How can Talisa modify the radius to maintain the orig
iogann1982 [59]

Answer:

The new radius r' should be 1.1 times the original planned radius ( rp ).

Step-by-step explanation:

Solution:-

- We will assume the geometry of the pond is modeled as a cylinder with base modeled as a circle with radius ( r ) and the planned height of the ( hp = 6 feet ).

- The volume V of a cylindrical pond is given by:

                              V = π*r^2*h

- Talisa had planned a depth hp = 6 feet, The planned volume with planned radius ( rp ) was:

                              Vp = π*rp^2*6

- However, she hit a rock at h' = 5 feet, So what change must he make to the radius of the pond such that she achieves the planned volume of the pond.

                              V =  π*r'^2*h'

Where, r' is the new radius of the pond:

                             Vp = V

                             π*rp^2*6 =  π*r'^2*5

                             ( r' / rp )^2 = 6 / 5

                             r' / rp = √6 / 5

                             r' / rp = 1.09544

                            r' = 1.1*rp

- The new radius r' should be 1.1 times the original planned radius ( rp ).

8 0
2 years ago
A wild tiger can eat 55 pounds of meat in a day about how many days would it take for a tiger to eat the following prey?
OverLord2011 [107]

Answer:

Number of days

34

13

4

46

4 0
3 years ago
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