If 3x + 7y = 47, AND 2x - y = 3 <br><br> What is the value x?

student tickets for the football game cost $12 each and adult ticket cost $20 $1,720 was collected for the 120 ticket sold at la

erik [133]

Answer:

85 student tickets and 35 adult tickets were sold.

Step-by-step explanation:

Howdy!

We know that student tickets cost $12, adult ticket cost $20 and 120 tickets were sold.

So:

$12×A + $20×B = $1,720. Where A and B are the number of student tickets and adult tickets sold, respectively.

Given that 120 tickets were sold in total, we have that:

A + B = 120

So the system of equations to be solved is the following:

$12×A + $20×B = $1,720 (1)

A + B = 120 (2)

Solving for 'A' in equation (2) we get:

A = 120 - B

Substituting this value into equation (1) we get:

$12×(120 - B) + $20×B = $1,720

Solving for 'B' we have:

$12×(120 - B) + $20×B = $1,720

$1,440 - $12×B + $20×B = $1,720

$1,440 + $8×B = $1,720

$8×B = $1,720 - $1,440

$8×B = $280

B = 35 tickets.

Given that B = 35, then A = 120 - 35 = 85 tickets.

So 85 student tickets and 35 adult tickets were sold.

4 0

3 years ago

Read 2 more answers

Matter is in a liquid state when its temperature is between its melting point and its boiling point. Suppose that some substance

ANTONII [103]

Answer:

-35.626 < temperature < 733.928 . . . . degrees F

(-35.626, 733.928)

Step-by-step explanation:

It is convenient to let a calculator evaluate the expression for converting °C to °F.

-35.626 < temperature < 733.928 . . . . degrees F

(-35.626, 733.928) . . . . . . . . . . . . . . . . . in interval notation

_____

The given relation is C = 5/9(F -32). The inverse relation is F = 9/5C +32. That is the relation we need to use to answer this question.

4 0

3 years ago

Sophia currently has an account balance of $1,347.11. her initial deposit on the account was $843 and earns 2.3% simple interest

sweet-ann [11.9K]

Answer:

69 years

Step-by-step explanation:

Trust me 69

3 0

3 years ago

The volumes of two cylindrical cans of the same shape vary directly as the cubes of their radii. If a can with a six-inch radius

Cerrena [4.2K]

Answer:

The second similar can with a radius of 24-inch radius will hold 12 gallons

Step-by-step explanation:

The given parameters are;

The volumes of the cylindrical can ∝ (The radius of the cans)³

The volume of first can, V₁ = 1¹/₂ pints

The radius of the first can, r₁ = 6-inch

The radius of the second can, r₂ = 24-inch

Therefore, we have;

V ∝ r³

V = k × r³

∴ 1¹/₂ pints ∝ (6 in.)³

1¹/₂ pints = 43.3125 in³

∴ 43.3125 in³ = k × 216 in.³

The constant of proportionality, k = 43.3125/216 = 0.2005208333

Therefore, we have for the second can, we have;

V₂ = k × r₂³ = 43.3125/216 × (24 in.)³ = 2772 in.³

The volume of the second can = 2772 in.³

1 in.³ = 0.004329 gallons

∴ 2772 in.³ = 2772 × 0.004329 gallons = 12 gallons

Therefore, the volume the second similar can with a 24-inch radius will hold = 12 gallons.

8 0

3 years ago

HELP ME PLEASE!! MATHEMATICS

ankoles [38]

You show the text of the problem, but you need to show the figure too.

3 0

3 years ago

If 3x + 7y = 47, AND 2x - y = 3 What is the value x?