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3 years ago

Tickets to a concert cost $50 for each orchestra seat and $40 for each

Mathematics

1 answer:

Vsevolod [243]3 years ago

6 0

Answer:

H. the number of orchestra seat is 900

Step-by-step explanation:

Step one:

let the number of orchestra seat be x

and balcony seat be y

cost of orchestra= $50 each

cost of balcony =$40 each

total tickets= 1500

x+y= 1500----------1

amount earned= $69000

50x+40y=69000--------2

The system of equation for the situation is

x+y= 1500----------1

50x+40y=69000--------2

from 1, x=1500-y

put this in equation 2

50(1500-y)+40y=69000

75000-50y+40y=69000

-10y=69000-75000

-10y=-6000

divide both sides by -10

y=-6000/-10

y=600

put y= 600 in equation 1

x+600= 1500

x=1500-600

x=900

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PLEASE HELP ME!! THANKS!! BRAINLIEST IF CORRECT!

Murrr4er [49]

When the calcium atom loses electrons, it's charge increases by the number of electrons lost.

It loses 2 electrons, so it's charge increases by 2.

The answer is +2

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3 years ago

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Travis spies an owl in a tall tree. He estimates the height of the tree to be 85 feet and the angle of elevation to the bird fro

anyanavicka [17]

Answer:

63.44 feet

Step-by-step explanation:

tan(68 degrees)= 85/y

y tan (68 degrees)=85

y=85/tan(68 degrees) ( cross multiply)

y = 34.34 feet

tan (41 degrees)=85/x+y

(x+y)tan(41 degrees)=85

x+y=85/tan 41 degrees

x=85/tan(41 degrees) - y

x= 85/tan (41 degrees)-(34.34) (cross multiply)

Therefore, Travis stepped back 63.44 feet to gain a better view!

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2 years ago

As an estimation we are told 5 miles is 8 km. Convert 27.4 miles to km.

Oksanka [162]

Answer:

≈ 44 km

Step-by-step explanation:

5 miles = 8 km

Then:

1 mile = 8/5 km

Then 27.4 miles is:

27.4*8/5 = 43.84 ≈ 44 km

6 0

3 years ago

The sum of two numbers is 51 and the greater number is twice the smaller number. Find the numbers. a) set up the variables Let _

Gelneren [198K]

Answer:

34 and 17

Step-by-step explanation:

a) set up the variables

Let x represent the first number Then y will represent the second number.

b) What is the equation that represents the above situation?

x = 2y
x + y = 51

c) Solve the equation.

Substitute x in the second equation and solve for y:

x + y = 51
2y + y = 51
3y = 51
y = 51/3
y = 17

Then find x

x = 2y = 2*17 = 34

4 0

2 years ago

Read 2 more answers

An Investment of $10,000 yields 8% interest compounded quarterly.

Pachacha [2.7K]

An Investment of $10,000 yields 8% interest compounded quarterly. The accumulated capital after 6 months is $10,404. The accumulated capital after 5 years is $14.859.47

From the information given;

The principal amount of investment = $10,000
Interest Rate = 8% = 0.08
number of times it get compounded = 4

a. we are to determine the amount of the accumulated capital after 6 months.

i.e. when time (t) = 6 months.

Now, using the formula for calculating the amount value of the accumulated capital:

$\mathbf{A = P(1 + \dfrac{r}{n})^{nt}}$

$\mathbf{A = 10000(1 + \dfrac{0.08\times 1}{4})^{4 \times \frac{1}{2}}}$

$\mathbf{A = 10000(1.02)^2}}$

A = $10,404

b. we are to determine the amount of the accumulated capital after 5 years

i.e. when time (t) = 5 years

$\mathbf{A = P(1 + \dfrac{r}{n})^{nt}}$

$\mathbf{A = 10000(1 + \dfrac{0.08\times 1}{4})^{4 \times 5}}$

$\mathbf{A = 10000(1.02)^20}}$

A = $14859.47

Therefore, we can conclude that the accumulated capital after 6 months is $10,404 and the accumulated capital after 5 years is $14859.47

Learn more about compound interest here:

brainly.com/question/14295570?referrer=searchResults

5 0

2 years ago