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4 years ago

Bill has enough money to buy no more than 1/2 pound of cheese. How much cheese could he buy?

2 answers:

7 0

If he can not buy more than half of a pound, that means that is the greatest he can get so that would tell us that he can only but a half pound of cheese, because he has no more. =)
hope that this helps you! =)

Sladkaya [172]4 years ago

3 0

Since Bill doesn't have enough money to buy more than 1/2 pound of cheese, the most cheese he could buy with his money is half a pound.

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A Broadway theater has 800 seats, divided into orchestra, main, and balcony seating. Orchestra seats sell for $ 40 comma main

KatRina [158]

Answer:

orchestra seats: main seats: balcony seats: 160: 400: 240

Step-by-step explanation:

Let number of orchestra seats = x

Let number of main seats = y

Let number of balcony seats = z

As per given statement, total seats are 800

$x +y+z=800 ..... (1)$

Sales price of each orchestra seat = $40

Sales price of each main seat = $30

Sales price of each balcony seat = $20

If all the seats are sold, total revenue is $23200.

$\Rightarrow 40x + 30y+20z=23200 ...... (2)$

If all the main and balcony seats are sold, but only half the orchestra seats are sold, the gross revenue is $ 20 comma 000.

$\Rightarrow 40\times \dfrac{x}{2} + 30y+20z=20000\\\Rightarrow 20x + 30y+20z=20000 ...... (3)$

Here, we have 3 variables and 3 equations. Let us solve them.

Subtracting Equation (3) from equation (2):

$\Rightarrow 20x = 3200\\\Rightarrow x = 160$

Putting value of x in equations (1) and (2):

Equation (1)

$\Rightarrow 160 +y+z=800\\\Rightarrow y+z=640 ...... (4)$

Equation (2)

$\Rightarrow 40\times 160 +30y+20z=23200\\\Rightarrow 30y+20z=16800\\\Rightarrow 3y +2z=1680 ...... (5)$

Equation (5) - 2 $\times$ Equation(4):

$\Rightarrow y =400$

Putting value of y in equation (4):

$400 +z = 640\\\Rightarrow z =240$

Hence, answer is:

orchestra seats: main seats: balcony seats: 160: 400: 240

4 0

3 years ago

PLEASE HELP. I CAN'T FIGURE THIS OUT

navik [9.2K]

The correct option is: (C) a⊥b, by Perpendicular Transversal Theorem

Explanation:
Perpendicular Transversal Theorem states that in a plane, if a line is perpendicular to one of two parallel lines, then it is perpendicular to the other line also.

As the line b is perpendicular to the line c and the line c is parallel to the line a, hence the line a is perpendicular to the line b. Therefore, the correct option is (C) a⊥b, by Perpendicular Transversal Theorem

7 0

3 years ago

Read 2 more answers

What is 100×100 and 100÷100

likoan [24]

Answer:

100* 100 = 10,000 100 divided 100 is 1

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

BRAINLIEST HELP.............