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Alenkasestr [34]
3 years ago
10

On Monday, 224 students went on a trip to the zoo. All 4 buses were filled and 8 students had to travel in cars. How many studen

ts were in each bus?
Mathematics
2 answers:
eduard3 years ago
7 0
54 students. You subtract 224 from 8 since 8 children had to travel in car
lisov135 [29]3 years ago
5 0

Answer:

54 students in each bus

Step-by-step explanation:

224 - 8 / 4 = 54

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Help I’ll give brainliest!
natima [27]

Answer:

(D) -0.2

Step-by-step explanation:

slope = 7-5 / 15 - 25

8 0
3 years ago
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
On a snorkeling trip, Betina spotted 27 different kinds of fish. That is 3 times as many as her younger sister Lucia spotted. Ho
netineya [11]
Betina: 3 units
lucia: 1 unit

27÷3 = 9
4 0
4 years ago
Read 2 more answers
A blue Jay wanted to store some acorns for the winter. If she hides 18 acorns per tree, she will be left with four acorns; if sh
Semenov [28]

Answer:

4 trees and 76 acorns.

Step-by-step explanation:

Let the amount of trees be x.

18x+4=20x-4\\\\\implies2x=8\\\\\implies x=4

There are 4 trees, and there are 18x+4 acorns or 76 acorns.

Hope you have a nice day, and also you should mark brainliest :)

8 0
2 years ago
Read 2 more answers
If the surface area of a cylinder is given by SA =
Mars2501 [29]

Answer:

The height is 11/2

Step-by-step explanation:

We know SA = 30n

and r = 2

We are solving for h. So plug in our values

30n = 2n(2)^2 + 2n(2)h

Multiply and square on the right side terms

30n = 8n + 4nh

Divide everything by n

30 = 8 + 4h

Subtract 8 on both sides

22 = 4h

Divide by 4 on both sides

h = 22/4 = 11/2

Check:

30n = 2n(2)^2 + 2n(2)(11/2)

30n = 8n + 22n

30n = 30n

7 0
3 years ago
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