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3 years ago

make skateboards 1/4 of a mile in half of an hour at this rate how far was when she skateboard in an hour

Mathematics

2 answers:

Anuta_ua [19.1K]3 years ago

3 0

Answer:

1/2 a mile

Step-by-step explanation:

if she goes 1/4 mile in 1/2 hour than you have to multiply 1/2 by 2 so you do the same thing to 1/4 which equals 2/4 simplified equals 1/2 so your answer is 1/2 a mile.

klemol [59]3 years ago

3 0

Answer:

C 1/2

Step-by-step explanation:

I took the test

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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

Assume that x and y are both differentiable functions of t and find the required values of dy/dt and dx/dt. xy = 4 (a) Find dy/d

kompoz [17]

Answer:

a) -0.9375

b) 1.25

Step-by-step explanation:

We are given the following in the question:

$f(x,y) = 4$

where x and y are both differentiable functions of t.

a) x = 8 and dx/dt = 15

$\\xy = 4\\\\y = \dfrac{4}{x}\\\\y = \dfrac{4}{8}=\dfrac{1}{2}\\\\\dfrac{d(f(x,y))}{dt} = 0\\\\x\dfrac{dy}{dt} + y\dfrac{dx}{dt} = 0\\\\8\dfrac{dy}{dt} + \dfrac{1}{2}(15) = 0 \\\\\dfrac{dy}{dt} = \dfrac{1}{8}\times \dfrac{-15}{2}\\\\\dfrac{dy}{dt} = -\dfrac{15}{16}\\\\\dfrac{dy}{dt}=-0.9375$

b) x = 1 and dy/dt = –5

$xy = 4\\\\y = \dfrac{4}{x}\\\\ y= 4\\\\\dfrac{d(f(x,y))}{dt} = 0\\\\x\dfrac{dy}{dt} + y\dfrac{dx}{dt} = 0\\\\(1)(-5) + 4\dfrac{dx}{dt} = 0 \\\\\dfrac{dx}{dt} = \dfrac{5}{4}\\\\\dfrac{dx}{dt} = 1.25$

3 0

4 years ago

If I have 40 pieces of candy and I sell them all for $20 how much would each piece of candy be worth

Hatshy [7]

Answer:

2cents

Step-by-step explanation:

40/20=2

5 0

4 years ago

In ADP + pi=ATP, what does pi stand for?

Alinara [238K]

This is not a math question. It's a biology question.

ADP stands for Adenosine diphosphate
ATP stands for Adenosine triphosphate

ADP has only 2 phosphate ions while ATP has 3.

ADP + pi = ATP

pi stands for phosphate ion.

2pi + pi = 3pi

4 0

3 years ago

Read 2 more answers

Light bulbs of a certain type are advertised as having an averagelifetime of 750 hours. The price of these bulbs is very favorab

PilotLPTM [1.2K]

answer 40

Step-by-step explanation:

because you added all together to make one

7 0

4 years ago