Is math an easy subject

A minor league baseball park has 6800 seats. Box seats cost $19, grandstand seats cost $9, and bleacher seats cost $4. When all

Naily [24]

Answer:

Step-by-step explanation:

Let us represent

The number of Box seats = x

The number of grandstand seats = y

The number of bleacher seats cost = z

A minor league baseball park has 6800 seats.

Hence,

x + y + z = 6800

Box seats cost $19, grandstand seats cost $9, and bleacher seats cost $4. When all seats are sold, the revenue is $61200.

Hence:

$19 × x + $9 × y + $4 × z = $61200

19x + 9y + 4 z = 61200

If the number of bleacher seats is 2 times the number of box seats

z = 2x

Hence we substitute

x + y + z = 6800

x + y + 2x = 6800

3x + y = 6800.... Equation 3

y = 6800 - 3x

For Equation 2, substituting 2x for z

19x + 9y + 4z = 61200

19x + 9y + 4(2x) = 61200

19x + 9y + 8x = 61200

27x + 9y = 61200...... Equation 4

Combining Equation 3 and 4

3x + y = 6800.... Equation 3

27x + 9y = 61200...... Equation 4

Note that:

y = 6800 - 3x

We substitute the above in Equation 4

27x + 9(6800 - 3x) = 61200

27x + 61200 - 27x = 61200

Box seats:_______ Grandstand seats:_______ Bleacher seats:______

7 0

3 years ago

Find the equation of a circle in standard form that is tangent to the line x = -3 at (-3, 5) and also tangent to the line x = 9.

Sedaia [141]

Answer:

(x -3)² +(y -5)² = 36

Step-by-step explanation:

The center is on the vertical line halfway between the given vertical lines, so is at x=3. It is also on the horizontal line through the point (-3, 5), so is at y=5. The center is 9-3=6 from either tangent line, so this is the radius.

For center (h, k) and radius r, the circle's equation is ...

(x -h)² +(y -k)² = r²

For (h, k) = (3, 5) and r=6, the equation is ...

(x -3)² +(y -5)² = 36 . . . . . . . . does not match any choice written here

6 0

4 years ago

Which types of investments are securities? both debt and equity debt only equity only neither debt nor equity

madam [21]

Securities can be either debt or equity

Answer: both debt and equity

Explanation: A security is an instrument in finance that can be traded through an intermediary that can be referred to as an exchange. A security can be in the form of debt (like treasury securities, T-bills, municipal bonds, corporate bonds and debentures). A security can also be in the form of an equity share or a derivative of an equity share. Hence a security can be both debt and equity

4 0

3 years ago

Read 2 more answers

Find the 11th term of the geometric sequence 6, -18, 54, ...

kolezko [41]

Answer:

354294

Step-by-step explanation:

Use the formula

$a_{n} = a_{1} r^{n - 1}$