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Art [367]
3 years ago
12

You have a certain number of books in your library. You bought more books to triple your amount, then decide to give 14 away to

your local school. You then give half of your remaining books away to charity. You end with 8 books left. How many books did you start with?
Mathematics
1 answer:
Nastasia [14]3 years ago
8 0

Answer:

10 :)

Step-by-step explanation:

(3x - 14) / 2 = 8

3x - 14 = 16

3x = 30

x = 10

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Help me solve this and get marked branliest:
bazaltina [42]

Answer:

75°

Step-by-step explanation:

Let's find the size of x°

BCFE has four sides so the sum of its angles sizes is 360°.

● CBE + 110 + 110 + CFE = 360

CFE is equal to 65° since they have the same vertex

● CBE + 220 + 65 = 360

● CBE + 285 = 360

● CBE = 360-285

● CBE = 75

CBE and x° have the same size since they share the same vertex.so:

● x° = 75°

4 0
3 years ago
Read 2 more answers
I will give lots of points please help
aalyn [17]

Answer:

a)  81π  in³

b)  27  in³

c)  divide the volume of the slice of cake by the volume of the whole cake

d)  10.6%

e)  see explanation

Step-by-step explanation:

<h3><u>Part (a)</u></h3>

The cake can be modeled as a <u>cylinder </u>with:

  • diameter = 9 in
  • height = 4 in

\sf Radius=\dfrac{1}{2}diameter \implies r=4.5\:in

\textsf{Volume of a cylinder}=\sf \pi r^2 h \quad\textsf{(where r is the radius and h is the height)}

\begin{aligned}\sf \implies \textsf{Volume of the cake} & =\pi (4.5)^2(4)\\ & = \sf \pi (20.25)(4)\\ & = \sf81 \pi \:\: in^3\end{aligned}

<h3><u>Part (b)</u></h3>

\begin{aligned}\textsf{Circumference of the cake} & = \sf \pi d\\& = \sf 9 \pi \:\:in\end{aligned}

If each slice of cake has an arc length of 3 in, then the volume of each slice is 3/9π of the entire volume of the cake.

\begin{aligned}\implies \textsf{Volume of slice of cake} & = \sf \dfrac{3}{9 \pi} \times \textsf{volume of cake}\\\\& = \sf \dfrac{3}{9 \pi} \times 81 \pi\\\\& = \sf \dfrac{243 \pi}{9 \pi}\\\\& = \sf 27\:\:in^3\end{aligned}

<h3><u>Part (c)</u></h3>

The volume of each slice of cake is 27 in³.

The volume of the whole cake is 81π in³.

To calculate the probability that the first slice of cake will have the marble, divide the volume of a slice by the volume of the whole cake:

\begin{aligned}\implies \sf Probability & = \sf \dfrac{27}{81 \pi}\\\\& = \sf 0.1061032954...\\\\ & = \sf 10.6\% \:\:(1\:d.p.)\end{aligned}

<h3><u>Part (d)</u></h3>

Probability is approximately 10.6%  (see above for calculation)

<h3><u>Part (e)</u></h3>

If the four slices of cake are cut and passed out <em>before </em>anyone eats or looks for the marble, the probability of getting the marble is the same for everyone. If one slice of cake is cut and checked for the marble before the next slice is cut, the probability will increase as the volume of the entire cake decreases, <u>until the marble is found</u>.  So it depends upon how the cake is cut and distributed as to whether Hattie's strategy makes sense.

3 0
2 years ago
1 point
SpyIntel [72]

Answer:

20

Step-by-step explanation:

IF you are asking why it is because 50-32=18 than you do 18/.90 which equals 20 so there you go thanks make brainliest

3 0
3 years ago
What is the 1000th root of the expression 5(^10^10)
umka21 [38]

Answer:

feet

Step-by-step explanation:

3 0
2 years ago
A bus traveled 336 miles in 7 hours. It traveled the same number miles each hour. If the bus continues at the same numder of mil
MrRissso [65]

Answer:

The bus will travel 720 miles in 15 hours.

Step-by-step explanation:

As you know that the bus traveled 336 miles in 7 hours and it traveled the same number miles each hour, you can divide the amount of miles it traveled by the number of hours to determine the amount of miles per hour:

336/7=48

Now, you can multiply the number of miles the bus traveled each hour for 15 hours:

48*15=720

According to this, the answer is that the bus will travel 720 miles in 15 hours.

4 0
2 years ago
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