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Gala2k [10]
3 years ago
5

the average age of a class of 20 students is 15 years and the average age of another class of 30 students is 20 years .find the

average age of students into classes​
Mathematics
2 answers:
Olegator [25]3 years ago
6 0

Let’s say the first class is X.

Avg(X)= x/20=15

X=300

Let’s say the second class is Y.

Avg(Y)= Y/30=20

Y=600

X+Y=900

AVG(X+Y)=900/(20+30)=900/50=18

The average of both classes is 18.

prisoha [69]3 years ago
4 0

Step-by-step explanation:

AVERAGE AGE OF 20 STUDENTS=15

AVERAGE AGE OF 30 STUDENTS=20

THEREFORE SUM OF Ages of 20 students=300

And sum of Ages of 30 students=600

Therefore Average age of 50 students =900/50=18

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What is the probability that the first to two checkers he pulls from the box at random will be two red checkers?
UkoKoshka [18]
It is 1 out of 24 chance do draw a red a first time.

Double the 24 for the second time to get the correct answer.

1/48 percent change of getting 2 red checkers in a row.

If you need anymore help, let me know.

Brainliest answer is always appreciated!
8 0
3 years ago
The quantity demanded x of a certain brand of DVD player is 3000/week when the unit price p is $485. For each decrease in unit p
ANTONII [103]

Answer:

Demand Equation: q = 15125 - 25p.

Supply Equation: 80p - 24000 = 9q.

Equilibrium Price: $525.

Equilibrium Quantity: 2000 units.

Step-by-step explanation:

To solve this question, first, the demand equation has to be calculated. Let price be on the y-axis and quantity by on the x-axis. It is given that p = $485 when q = 3000 units. This can also be written as (q₁, p₁) = (3000, 485). It is also given that when the price goes down by $20, the quantity increases by 500 units. Therefore, (q₂, p₂) = (3500, 465). Due to the statement "For each decrease in unit price of $20 below $485, the quantity demanded increases by 500 units", the demand function will be linear i.e. a straight line. This is because the word "for each" has been used. Therefore, finding the equation of the demand function:

(p - p₁)/(q - q₁) = (q₂ - q₁)/(p₂ - p₁).

(p - 485)/(q - 3000) = (465 - 485)/(3500 - 3000).

(p - 485)/(q - 3000) = (-20)/(500).

(p - 485)/(q - 3000) = -1/25.

25*(p - 485) = -1*(q - 3000).

25p - 12125 = -q + 3000.

25p + q = 15125.

q = 15125 - 25p. (Demand Equation).

Second, find the supply equation. It is given that the suppliers will not sell the product below or at the price of $300. Therefore, (q₁, p₁) = (0, 300). Also, the suppliers will sell 2000 units if the price is $525. Therefore, (q₂, p₂) = (2000, 525). Since it is mentioned that supply equation is linear, therefore:

(p - p₁)/(q - q₁) = (q₂ - q₁)/(p₂ - p₁).

(p - 300)/(q - 0) = (525 - 300)/(2000 - 0).

(p - 300)/(q) = (225)/(2000).

(p - 300)/(q) = 9/80.

80*(p - 300) = 9*(q).

80p - 24000 = 9q. (Supply Equation).

Equilibrium exists when demand = supply. This means that the demand and the supply equations have to be solved simultaneously. Therefore, put demand equation in supply equation:

80p - 24000 = 9(15125 - 25p).

80p - 24000 = 136125 - 225p.

305p = 160125.

p = $525.

Put p = $525 in demand equation:

q = 15125 - 25p.

q = 15125 - 25(525).

q = 15125 - 13125.

q = 2000 units.

To summarize:

Demand Equation: q = 15125 - 25p!!!

Supply Equation: 80p - 24000 = 9q!!!

Equilibrium Price: $525!!!

Equilibrium Quantity: 2000 units!!!

8 0
3 years ago
Simplify the expressions and find the answer.
cupoosta [38]
3- 5/9= 2.45 
3- 23/9= .45

2.45/.45= 5.44

5.44^3/2= 81
6 0
3 years ago
The area of a square is (36d^2 - 360d + 9) in^2.
Ber [7]

Answer:

Step-by-step explanation:

36 d²-36 d+9=9(4d²+4d+1)

=9[4d²+2d+2d+1]

=9[2d(2d+1)+1(2d+1)]

=9(2d+1)(2d+1)

=9(2d+1)²

=[3(2d+1)]²

=(6d+6)²

length=6d+6

perimeter=4(6d+6)=24d+24

when d=2

length=6×2+6=18in

perimeter=4×18=72 in

area=18²=324 in²

8 0
2 years ago
If five times a number plus two is 17 what is the number? A. 3 B. 2 C. 7 D. 5
VLD [36.1K]
5*3+2=17 it's A, 3 in this equation.
3 0
3 years ago
Read 2 more answers
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