Two hundred students are going to dine with the principal as their reward for perfect attendance. A random survey of 25 of these students was
conducted to determine how many of each meal should be prepared for dinner. The results are shown below.
• 12 students like pizza
8 students like cheeseburger
. 5 students like taco
Based on the survey results, which of these is the best prediction of the meals liked by the 200 students. (1.6H)
O A There are 16 students who want a cheeseburger.
OB There are 52 students who want either a cheeseburger or a taco.
O C There are 24 more students who want a taco than want a cheeseburger.
OD There are 32 more students who want pizza than want a cheeseburger.

A structure which has a square base and four triangular sides meeting at a point is called pyramid.

At distance of 3.97 feet from its vertex , pyramid is cut by plane  so that the two solids of equal weight will be formed.

It is assumed that weight of pyramid is proportional to its volume.

So,   [tex]w = k V[/tex] , where V is volume of original pyramid and v is volume of small pyramid and k is constant.

Let us consider that at h  distance,  pyramid is cut from its vertex. So a small pyramid is also formed.

Assume that base area of original pyramid is A and base of small pyramid is a.

Volume of original pyramid is,   [tex]V= \frac{1}{3} *A* 5[/tex]

So, weight of original pyramid,  [tex]W = k *(\frac{1}{3} *A* 5) = 800[/tex]

Volume of small pyramid is,  [tex]v = \frac{1}{3}* a* h[/tex]

So, weight of small pyramid, [tex]w = k*(\frac{1}{3}* a* h)=400[/tex]

Since, base and height of small pyramid and original pyramid are in proportion.

So,  [tex]\frac{a}{A} = (\frac{h}{5}) ^{2}[/tex]

       [tex]a = (\frac{h}{5} )^{2}A[/tex]

Substituting value of a in  equation [tex]k*(\frac{1}{3}* a* h)=400[/tex]

So, [tex]k*(\frac{1}{3}* \frac{h^{2} }{25}A * h)=400[/tex]

       [tex](k*\frac{1}{3}* A*5)*\frac{1}{5} *\frac{h^{2} }{25} * h)=400[/tex]

Since, [tex](k *\frac{1}{3} *A* 5) = 800[/tex], substitute in above equation.

    So, [tex]800*\frac{h^{3} }{125}=400\\\\h^{3}=\frac{125}{2}\\\\h=\sqrt[\frac{1}{3} ]{62.5}\\\\h=3.97 feet[/tex]

Learn more:

https://brainly.com/question/17950304

Answer:

5/6

Step-by-step explanation:

Hope this is helpful

Answer:

5/6

Step-by-step explanation:

Answer:

X > -11/10

Step-by-step explanation:

Answer:

y = 5x - 25

Step-by-step explanation:

Using the equation y=mx+b to determine the function. The line must be perpendicular, so the m (slope) value must be the opposite reciprocal of the given equation, which is 5. Then you have to solve the equation using the given point to find b.

10 = 5 * (7) + b

10 = 35 + b

-25 = b

So final equation is y = 5x - 25.

Answer:

y/7=x+1

hope this helps you!!

Answer:

3/4x - 5 = x

= -3/10 -> -0.15

2 Decimal places = 0.150

Answer:

Both are 65 degrees

Step-by-step explanation:

because you have parrallel lines, 2 would be the same as 65

Because 1 is on the opposite of 2, it would be the same

Answer:1-1/3

2-16 in.

3-10.49

4-1/10

Step-by-step explanation:

i hope this helps

Answer:

Improper fraction = 19/3

Step-by-step explanation:

To convert to improper fraction;

1.) multiply the denominator with the whole number,

2.) then add the number you got with the numerator (this will be you new numerator)

3.) keep the denominator the same for the new fraction

Hope this helps!

Hello!

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4 3/4

First, we multiply the whole number by the denominator:

16

Then, we add the numerator:

19

19 is the numerator for our fraction.

Now, the denominator stays the same:

[tex]\frac{19}{4}[/tex] is our answer. Hope it helps you!

~SparklingFlower

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Answer:

y = 19

Step-by-step explanation:

y = 7x - 2

=> y = 7(3) - 2

=> y = 21 - 2

=> y = 19

Therefore, y = 19

Hoped this helped.

Answer: 400,00 km

Step-by-step explanation: 1:50,000 = 8:x

8 * 50,000 = 400,000

So, 8km on the map is 400,000 km in real life.

Would appreciate brainly <3

Answer:

1580$

Step-by-step explanation:

Answer:

The correct answer is (c) 30°

Hope it helps

The amount that Kim Barney spends is $342 for medical expenses.

Buying cost is the cost at which someone buys or is willing to buy shares, bonds.( including the tax)

here, we have,

Given that,

Kim Barney pays a $290.00 yearly premium for a $500.00 deductible insurance plan. 80 percent of the remaining cost is covered by the business. If Kim has medical costs of $2,500.00

To find : The amount that Kim barney spends for the medical expenses.

If the business covers 80% of the remaining balance ($1710), they will be responsible for paying $1368 of it.

10% of 1710 is 171

171x8=1368

The insurance provider covers the $1368.

Kim Barney spends $342.

Consequently, Kim Barney spends the following amount on medical costs $342.

To learn more about the cost click here:

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#SPJ2

Answer:

39

Step-by-step explanation:

39

Step-by-step explanation:

13 × 3 = 39

The largest composite number less than 40 is 39

it will be 36

Step-by-step explanation:

fgdsb b zgffhxgv

Answer:

x=6,. y=5. is the answer

The equation of slope is y2 - y1/x2 - x1

0 - 4/0 - 5

-4/5

Another method in image added.

#5

Compare

[tex]\\ \sf\longmapsto \dfrac{2}{5}>\dfrac{2}{7}[/tex]

#6

[tex]\\ \sf\longmapsto \dfrac{1}{2}=\dfrac{2}{4}[/tex]

Compare

[tex]\\ \sf\longmapsto \dfrac{2}{4}<\dfrac{3}{4}[/tex]

Sonali was faster

Answer:

it's the graph c

Step-by-step explanation:

(0, -2)

(1, 0)

(2, 2)

Answer:

your answer is C

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

It is asking how many people have MORE than two fish. Not two fish.

15 + 3 + 2 = 20

Answer:

3 / (3t+4) is the answer

Answer:

659

Step-by-step explanation:

11-1=10;10/2=5;5+1=6;6+5=11

the hundreds place has 6

the tens place has 5

the ones place has 9

659

Answer:

29

Step-by-step explanation:

6 + 3 x 9 - 4

6 + 27 - 4

33 - 4

=29

Answer:

C) y = -3/4x + 10

Step-by-step explanation:

Slope is negative and its value (-3/4) can be determined from the line.

The line crosses the axis of ordinates at y = 10, when x = 0. If you substitute x for 0 in y = -3/4x + 10, y = 10. This corresponds to the line drawn in scatter plot.

Answer:

Angle B: 180-135=45° - supplementary angle rule

Angle C: 180-45-70=65° - sum of interior angles of triangle is 180

Angle D= Angle B : 45° - Alternate interior angles

Angel E=Angle A: 70° - Alternate interior angle.

Angle F: 180-Angle E(70) = 110° - supplementary angle rule

Step-by-step explanation:

Answer:

Step-by-step explanation:

the slope for y = -9x + 15

Slope: -9

y-intercept: y= -9(0) + 15 = 0 + 15 = 15

(0, 15)

Answer:

-9

(0, 15)

Step-by-step explanation:

y = mx + c

y = -9x + 15

so m = -9

y intercept is when x = 0

c = 15

(0, 15)

Answer: -3x

Step-by-step explanation:

(-x)+(-x)=-2x

-2x+(-x)=-3x

Answer:

3 hours and 45 minutes assuming its from am to pm

Step-by-step explanation:

Hope This Helps