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3 years ago

15

A library checks out four fiction books and two nonfiction books an hour. How many times more fiction books do they check out th

an the nonfiction books?

1 answer:

Scorpion4ik [409]3 years ago

4 0

Answer:the library checks out 2 times more fiction books than the nonfiction books.

Step-by-step explanation:

Total number of fiction books that the Library checks out in an hour is 4.

Total number of non fiction books that the Library checks out in an hour is 2.

To determine how many times more fiction books that they check out than the nonfiction books, we would divide the total number of fiction books that the Library checks out in an hour by the total number of non fiction books that the Library checks out in an hour. It becomes

4/2 = 2

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A truck driver travels at 59 miles per hour. The truck tires have a diameter of 30 inches. What is the angular velocity of the w

Misha Larkins [42]

Answer:

$661.4\ rpm$

Step-by-step explanation:

we know that

1 mile=63,360 inches

step 1

Find the circumference of the wheels

$C=2\pi r$

we have

$r=30/2=15\ in$ -----> the radius is half the diameter

substitute

$C=2\pi(15)$

$C=30\pi\ in$

assume

$\pi =3.14$

$C=30(3.14)=94.2\ in$

Remember that

The circumference of the wheels represent one revolution

Convert 59 miles per hour to inches per minute

$59\ mi/h=59*63,360/60=62,304\ in/min$

using proportion find the number of revolutions

$\frac{1}{94.2}\frac{rev}{in}=\frac{x}{62,304}\frac{rev}{in}\\ \\x=62,304/94.2\\ \\x=661.4\ rev$

therefore

substitute

$62,304\ in/min=661.4\ rev/min=661.4\ rpm$

5 0

3 years ago

Look at picture. Does anybody know the answer I’m lost?

masha68 [24]

Let $x,y$ be the dimensions of the rectangle. We know the equations for both area and perimeter:

$A=xy=36$

$P=2(x+y)=36 \iff x+y=18$

So, we have the following system:

$\begin{cases}xy=36\\x+y=18\end{cases}$

From the second equation, we can deduce

$y=18-x$

Plug this in the first equation to get

$xy=x(18-x)=-x^2+18=36$

Refactor as

$x^2-18x+36=0$

And solve with the usual quadratic formula to get

$x=9\pm3\sqrt{5}$

Both solutions are feasible, because they're both positive.

If we chose the positive solution, we have

$x=9+3\sqrt{5} \implies y=18-x=18-9-3\sqrt{5}=9-3\sqrt{5}$

If we choose the negative solution, we have

$x=9-3\sqrt{5} \implies y=18-x=18-9+3\sqrt{5}=9+3\sqrt{5}$

So, we're just swapping the role of $x$ and $y$ . The two dimensions of the rectangle are $9+3\sqrt{5}$ and $9-3\sqrt{5}$

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3 years ago

Identify the Property 8x0=0

nikdorinn [45]

The property is times

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3 years ago

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Rebekah manages a yoga studio that charges each customer a one-time initial fee of $35 and an additional fee of $12 per class ta

Maru [420]

Answer:

Inequality: 12c + 35 ≥ 100

Minimum number of classes per customer: 6

Step-by-step explanation:

12c + 35 ≥ 100

- 35 -35

12c ÷ (12) ≥ 65 ÷ (12)

c ≥ 5.4 (so 6)

Hope this helps good luck!

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Help plzzz!!Given P(A) = 0.78, P(B) = 0.65 and P(AUB) = 0.873, find the value of

Gelneren [198K]

<h3>Answer: 0.557</h3>

===================================================

Work Shown:

$P(A \cap B) = P(A) + P(B) - P(A \cup B)\\\\P(A \cap B) = 0.78 + 0.65 - 0.873\\\\P(A \cap B) = 0.557\\\\$

-------------

Side note:

A similar formula is $P(A \cup B) = P(A) + P(B) - P(A \cap B)$

We can isolate the last term to get the first equation shown above.

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3 years ago

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