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german
3 years ago
15

On Monday, 325 students went on a trip to the zoo. All 8 buses were filled and 5 students had to travel in cars. How many studen

ts were in each bus ?
Mathematics
1 answer:
KatRina [158]3 years ago
4 0

Answer:40

Step-by-step explanation:

325 students - 5 going in cars.

320 students left / 8 busses = 40 students per bus

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Kiran bought a wedge with a central angle of pi/2 radians and a radius of 3 inches. What is the area of the top surface of this
VMariaS [17]

The area of the top surface of this wedge is 14.14 inches².

<h3>What is the area of a sector?</h3>

The shape of the top surface of the wedge assumes the shape of a sector. So, to determine the area of the top surface of this wedge, we need to find the area of the sector.

Area of a sector = \mathbf{\dfrac{\theta}{360}\times 2 \pi r^2 }

where;

  • Central angle θ = π/2
  • radius = 3 inches

Area of a sector = \mathbf{\dfrac{\pi/2}{360}\times 2 \pi (3)^2 }

Area of a sector = \mathbf{\dfrac{90}{360}\times 2 \pi \times 9 }

Area of a sector = 14.14 inches²

Learn more about the area of a sector here:

brainly.com/question/22972014

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5 0
2 years ago
The formula is:<br> Y= mx+b
Aliun [14]
<h2>                             Question 1</h2>

Answer:

The graph is showing the story.

Step-by-step explanation:

Victoria is on the 13th page of the book, she reads 3 pages after every next hour.

After 1st hour she has read = 13 + 3 = 16

As she reads 3 pages after every next hour.

so

After 2nd hour she has read = 16 + 3 = 19

After 3rd hour she has read = 19 + 3 = 22

After 4th hour she has read = 22 + 3 = 25

After 5th hour she has read = 25 + 3 = 28

So the graph is showing this phenomena.

<h2>                          Question 2</h2>

Answer:

The equation that would generate this graph and table would be:

  • y=\:3x+13

Step-by-step explanation:

Given the slope-intercept form of the equation of the line

y=\:mx+b

Taking any two points

(1, 16)

(2, 19)

\mathrm{Slope\:between\:two\:points}:\quad \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

\left(x_1,\:y_1\right)=\left(1,\:16\right),\:\left(x_2,\:y_2\right)=\left(2,\:19\right)

m=\frac{19-16}{2-1}

m=3

Plugging any point, let say (1, 16), and m = 3 in the slope-intercept form to find the value of b (y-intercept).

y=\:mx+b

16=\:3\left(1\right)+b

\mathrm{Switch\:sides}

3\left(1\right)+b=16

\mathrm{Remove\:parentheses}:\quad \left(a\right)=a

3\cdot \:1+b=16

\mathrm{Multiply\:the\:numbers:}\:3\cdot \:1=3

3+b=16

\mathrm{Subtract\:}3\mathrm{\:from\:both\:sides}

3+b-3=16-3

b=13

Thus the equation that would generate this graph and table is:

y=\:mx+b

  • m = 3
  • b = 13

y=\:3x+13

Therefore, the equation that would generate this graph and table would be:

  • y=\:3x+13
6 0
4 years ago
Annie earns $7.50 per hour working after school. She needs at least $185 for a stereo system. Write an inequality that describes
Lyrx [107]

Answer:

7.50x=185

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Plzzzz help ASAP thanks :)
Paladinen [302]
The first one : y = ( x-3/2 ) ^2 + 31/4

second one : y = (x+6)^2-25

vertex ; (-6,-25)
8 0
3 years ago
I need help with number 6 please provide a screenshot of the Desmos and any work on paper
riadik2000 [5.3K]

Answer:

See below

Step-by-step explanation:

Graphing all three equations can be done on one DESMOS plot, but it gets very busy and cluttered.  The attached image demonstrates an approach that simplifies the graph.

Enter the three equations and three inequalities separately into six DESMOS input boxes.  Then I clicked off the color circles of the ones I didn't want to see, leaving only two visible at one time.  Each pair represents one line of the function and limit for that function.  Then find the intersection point for the values indicated in the second half of the equation.  

One can also calculate the answers:

a)  (-21,442)

b)  (-4,-1)

c)  (18,15.5)

d) (20,17)

3 0
2 years ago
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