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3 years ago

A spinner rotates 405 times in 5 minutes. How many spins per minute?

Mathematics

2 answers:

iren2701 [21]3 years ago

7 0

Answer:

Step-by-step explanation:

divide 405 by 5 to get the number of rotations per minute.

Annette [7]3 years ago

7 0

Answer:

81 spins per minute

Step-by-step explanation:

Divide 405 by 5 to get 81 <(your unit rate)

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What does x equal? plz help

erma4kov [3.2K]

Answer:

Step-by-step explanation:

∠E = ∠B

6x - 39 = 3x

6x - 3x = 39

3x = 39

x = 39/3

x = 13

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3 years ago

A problem states: "There are 9 more pencils than pens in a container. There are 25 writing utensils in the container in all. How

Alecsey [184]

2p + 9 = 25 is the correct equation

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2 years ago

Read 2 more answers

There are 8 freight cars for every 3 passenger cars in a train.

ozzi

Answer: hay 16 vagones de pasajeros y 48 de carga

Step-by-step explanation:

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2 years ago

For the function f(x) = 7/2x-16, what is the difference quotient for all nonzero values of h?

sergey [27]

Answer:

$\frac{f(x + h) - f(x)}{ h} = \frac{7}{2}$

Step-by-step explanation:

Given

$f(x) = \frac{7}{2}x - 16$

Required

The difference quotient for h

The difference quotient is calculated as:

$\frac{f(x + h) - f(x)}{ h}$

Calculate f(x + h)

$f(x) = \frac{7}{2}x - 16$

$f(x+h) = \frac{7}{2}(x+h) - 16$

$f(x+h) = \frac{7}{2}x+ \frac{7}{2}h- 16$

The numerator of $\frac{f(x + h) - f(x)}{ h}$ is:

$f(x + h) - f(x) = \frac{7}{2}x+ \frac{7}{2}h- 16 -(\frac{7}{2}x - 16)$

$f(x + h) - f(x) = \frac{7}{2}x+ \frac{7}{2}h- 16 -\frac{7}{2}x + 16$

Collect like terms

$f(x + h) - f(x) = \frac{7}{2}x -\frac{7}{2}x + \frac{7}{2}h- 16 + 16$

$f(x + h) - f(x) = \frac{7}{2}h$

So, we have:

$\frac{f(x + h) - f(x)}{ h} = \frac{7}{2}h \div h$

Rewrite as:

$\frac{f(x + h) - f(x)}{ h} = \frac{7}{2}h * \frac{1}{h}$

$\frac{f(x + h) - f(x)}{ h} = \frac{7}{2}$

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2 years ago

Children's tickets to a local play cost $\$1.50$ less than adult tickets. At one performance 325 children tickets and 175 adult

svetoff [14.1K]

Answer:

$8.00

Step-by-step explanation:

The problem statement gives two relations between the prices of two kinds of tickets. These can be used to write a system of equations for the ticket prices.

<h3>setup</h3>

Let 'a' and 'c' represent the prices of adult and children's tickets, respectively. The given relations can be expressed as ...

a - c = 1.50 . . . . . . . adult tickets are $1.50 more

175a +325c = 3512.5 . . . . . total revenue from ticket sales.

<h3>solution</h3>

We are only interested in the price of an adult ticket, so we can eliminate c to give one equation we can solve for 'a'. Using the first equation, an expression for c is ...

c = a -1.50

Substituting that into the second equation, we have ...

175a +325(a -1.50) = 3512.50

500a -487.50 = 3512.50 . . . . . . simplify

500a = 4000 . . . . . . add 487.50

a = 8 . . . . . . . . . divide by 500

An adult ticket costs $8.

5 0

1 year ago