At Central Middle School the 108 students who take the AMC 8 meet in the evening to talk about problems and eat an average of two cookies apiece. Walter and Gretel are baking Bonnie's Best Bar Cookies this year. Their recipe, which makes a pan of 15 cookies, lists these items: 1/2 cups of flour 2 eggs, 3 tablespoons butter, 3/4 cups sugar 1 package of chocolate drops They will make only full recipes, no partial recipes. They learn that a big concert is scheduled for the same night and attendance will be down 25%. How many recipes of cookies should they make for their smaller party? (Some eggs and some cookies may be left over. )

(A) 1.

(B) 2.

(C) 5.

(D) 7.

(E) 15

Answers

Answer 1

The correct option is option (E) 15

To calculate the number of cookies they will need, they first determine the number of students who will be attending the meeting. Since attendance is down by 25%, the number of students attending is 108*(1-0.25) students.

=108 students * 0.75 = 81 students.

To figure out the number of cookies they will need, they multiply the number of students by the number of cookies per student, which is 81 students * 2 cookies= 162 cookies.

Since each recipe makes 15 cookies, they need to make 162 cookies / 15 cookies/recipe = 10.8 recipes.

Since they cannot make partial recipes, they round up and make 11 recipes of cookies for their smaller party.

As 11 is not a given  option, we consider the option which is greater than 11, which is 15.

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Related Questions

A triangle has a height that is 4 inches shorter than its base. If its area is 30 square inches, find the base and height

Answers

Answer:

120

Step-by-step explanation:

you are multiping you are trying to get the number of the base

8)Tony bought a shirt for $40 and a second one at 50 percent off.

What was the total cost before taxes?

b) There was a 5 percent tax. How much did Tony pay in total?

Answers

Answer:

he paid 19 dollars

Step-by-step explanation:

first we subtract tax which is 2 dollars then we find 50%

helppppppppppppppppppppppppppppppppppppp

Answers

Answer: 527.79 m²

Step-by-step explanation:

formula is A = 2πrh + 2πr²

A = 2π x 4 x 17 + 2π x 4²

A = 527.79 m²

What is the y-intercept of the quadratic function f/x )=( x 8 )( x 3?

Answers

The y-intercept of the quadratic function f(x) = (x - 8)(x + 3) is (0, -24).

The graph's intersection with the y-axis is known as the y-intercept. Finding the intercepts for any function with the formula y = f(x) is crucial when graphing the function. An intercept can be one of two different forms for a function. The x-intercept and the y-intercept are what they are. A function's intercept is the location on the axis where the function's graph crosses it.

This is an illustration of a y-intercept. Think about the line y = x + 3. The point where this graph crosses the y-axis is (0,3). Therefore, the y-intercept of the line y = x+ 3 is (0,3).

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Witch of the following options have the same value as 75% of 96 ?

Answers

Answer:

[tex]75\% \: of \: 96 \\ = \frac{75}{100 } \times \frac{96}{1} \\ = \frac{3}{4} \times \frac{96}{1} \\ = 24 \times 3 \\ = 72[/tex]

This probability distribution shows the typical grade distribution for a Geometry course with 35 students . A B С DF Grade Frequency 5 10153 2 Find the probability that a student earns a grade of B. p=[?]

Answers

Answer:

[tex]p=0.29[/tex]

Step-by-step explanation:

[tex]Total ~ of ~students=35[/tex]

[tex]Probability =10/35=0.29[/tex]

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

hope it helps....

have a great day!!

Answer:

p=0.29

Step-by-step explanation:

hope it helps...

LAST QUESTION....
6. Which cylinder do you think has the greater volume?
Cylinder A: radius 1 m and height 2 m, or
Cylinder B: radius 2 m and height 1 m. Explain.

Answers

Answer:

it should be cylander b

Step-by-step explanation:

the formula for volume is πr^2(h) and the number being squared would need to be bigger for a greater volume.

10. The sum of three consecutive odd numbers is 69. Find the numbers of P is the largest
number​

Answers

Answer:

The numbers would be 21,23 and 25.

The largest is 25. (If this is what you are asking)

Step-by-step explanation:

The question stated that 3 consecutive odd numbers made up that 69.

Therefore, you can divide the 69 by 3 to determine the range of these numbers.

69/3= 33. So we know the range is 30-35-39 (These are the numbers youd look at to see which consecutive numbers adds up to the 69)

Reason why you divide:

For example, you wouldnt be able to use a number in its 30s or 10s because itd be too high or too low.

Hope it helps.

Which shows that the set of irrational numbers under addition is not closed?
3+3
π + π
π +3
3π + (−3π)

Answers

The option that shows that the set of irrational numbers under addition is not closed is B. π + π.

What is an irrational number?

All real numbers that are not rational numbers are referred to as irrational numbers in mathematics. In other words, it is impossible to express an irrational number as the ratio of two integers. The collection of real numbers known as irrational numbers, where p and q are integers, are those that cannot be expressed as fractions, such as p/q.

The example of "π + π" shows that the set of irrational numbers under addition is not closed, because the result of adding two irrational numbers (π + π) is an irrational number (2π) which is not included in the set of irrational numbers.

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A plant is 5cm tall and growing at a rate of 3cm a month. How many months would it take for the plant to reach 23cm?

Answers

Answer:

6 months

Step-by-step explanation:

5cm +3x = 23 (goal)

-5              -5

3x=18

x=6 months

Answer:

plant b height will exceed the height of plant a after 16 days.

Step-by-step explanation:

Plant a: 5 cm tall and rate of change = 3 cm per month

Plant b: 4  cm tall and rate of change = 5 cm per month.

Now we have to form the linear equations.

Plant a:

y = 3x + 5, where y is the total height and "x" be the number of months.

Plant b:

y = 5x + 4 , where y is the total height and "x" be the number of months.

Now we have to when the height of the plant a and plant b are the same.

To do that, we have to equivate both the equations and find x.

3x + 5 = 5x + 4

Isolate the variables terms and constants.

5x - 3x = 5 - 4

2x = 1

Dividing both sides by 2, we get

x = 1 ÷ 2

x = 0.5 months.

So after 15 days, the height of the plant a and plant b are the same.

Therefore, plant b height will exceed the height of plant a after 16 days.

Please helppp WILL MARK BRAINLIEST

Answers

Answer:

110°

Step-by-step explanation:

i dont think u need explanation so ill do it fast

110 :) hope I helped !!

Find the slope of a line parallel to the line whose equation is 10x+6y=_96

Answers

Answer:

Slope=-3.333/2.000=-1.667

X-intercept= -13/5 = -2.60000

Y-intercept= -13/3 = 14.33333

What is a polynomial of zero?

Answers

All of the coefficients of a zero polynomial's variables are equal to zero. In other words, it indicates that the powers of all the variables are equal to zero.

Zero polynomials are any polynomials that have all of their variables' coefficients set to zero.

Thus, a polynomial with a value of zero has no value.

A constant function or zero map is the function that defines it, and it is typically written as P(x) = 0, where x is the variable of the polynomial whose coefficient is 0.

A zero polynomial is a polynomial that has zero as its coefficient and an endless number of terms and variables of various powers.

Like this: 0x^2 + 0x + 0.

The graph of the zero polynomial is the x-axis, and the zero polynomial function is defined as y = P(x) = 0.

Real numbers are believed to be the domain, while 0 is the range.

The range is the set of values for the dependent variable y, whereas the domain is the set of values for the variable x for which the function is defined.

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10,9, 23, 68, 70, 4, 12,4
What is the median for this set of numbers?
A 4
B. 11
c. 25
D. 66
E. 70

Answers

Answer:

i would say A because you have more of the 4 than anything else

Step-by-step explanation:

What is the y-intercept of the line?
b=?

Answers

Answer:

2

Step-by-step explanation:

look at where it intersects the line that goes straight up

2 points
Find the value of x. Round your answer to the nearest tenth. example of
answer: 3.1*
3.
7
9
Your answer

Answers

Step-by-step explanation:

if the question is to round 3.79 to the nearest tenth then here you go: *can't really grab you question, but....*

So, 3.79 to the nearest tenth would be 3.8

Why? How?

To round, you have to convert the farthest right value, which is 5 or higher, to one and add it to it's previous. So, 9 is higher than 5, could be 5, but can change to 1 and be added to it's previous 7 making 7 8, and that's how we get 3.8 (8 being the tenth of the decimal...hope I'm making sense. it's just the rules, how it works, and how I can explain it).

Hope you get it right and good luck :)

I WILL MARK BRAINLYEST AND 40 POINTS

Describe a meal that you could put together that provides 4 servings of both a main course and a side dish. Explain how you know that it will not exceed the weight limit of the box

Answers

The total number of servings of chicken the food bank can provide is 70 servings.

What is per unit?

Per-unit is a technique of expressing a quantity's value in terms of a base or reference quantity. Each system variable or quantity in a per-unit system is normalized in relation to its own base value.

Two chickens make up the main course of a plate of food, according to the table's content. Each chicken served by the food bank weighs 12.6 ounces. 110.9 pounds of chicken are available at the food bank (1,774.4 ounces of chicken)

Thus,

The mass of chicken per serving = 2 × 12.6 = 25.2 oz/serving

The total number of servings of chicken the food bank can provide = (The quantity of chicken the food bank has)/(The mass of chicken per serving)

∴ The total number of servings of chicken the food bank can provide = (1,774.4 oz)/(25.2 oz/serving) ≈ 70.413

Given that the servings are in whole numbers, we have;

therefore, To the nearest whole number, the food bank can offer a maximum of 70 servings of chicken.

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What do we call a decimal that does not terminate?

Answers

Answer:

Irrational number

Step-by-step explanation:

Evaluate the expression 2^x- x^22
x
−x
2
2, start superscript, x, end superscript, minus, x, squared for x=5x=5

Answers

The evaluation of the expression 2ˣ - x² when x = 5 is 7

How to evaluate the expression

From the question, we have the following parameters that can be used in our computation:

Expression: 2^x- x^2

Value x = 5

Rewrite the expression as

Expression: 2ˣ - x²

Substitute the known values in the above equation, so, we have the following representation

2ˣ - x² = 2⁵ - 5²

When the exponents are evaluated. we have

2ˣ - x² = 32 - 25

Evaluate the like terms in the equation

So, we have the following representation

2ˣ - x² = 7

Using the above as a guide, we have the following:

The solution is 7

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Ashley is digging for rocks at a geological site. She has 140 meters of rope and 4 stakes to mark off a rectangular area.

Which set of dimensions will create a rectangle using all the rope Ashley has with her?
(When I took the test, I got it wrong so I am wondering which one is right)

70 m × 70 m

60 m × 10 m

55 m × 10 m

Answers

Answer:

60 m times 10 m

Step-by-step explanation:

So your answer is the second one!

Answer:

60 m × 10 m

Step-by-step explanation:

A) 2(14+10)=2(24)=48

B) 2(70+70)=2(140)=280

C) 2(60+10)=2(70)=140

PLEASE HELP!! And explain :) THANKS

Answers

Because two triangles are said to be congruent when all three of their corresponding sides and all three of their corresponding angles have the same measure, the right answer is SSS.

What is triangle?

Three sides and three vertices make up a triangle, which is a polygon. It is among the fundamental forms in geometry. Triangle ABC is the name given to a triangle with vertices A, B, and C. When the three points are not collinear, a unique plane and triangle in Euclidean geometry are found.

In the order below, beginning with triangles DAB and BCD, write the names of the vertices.

AB = CD

DA = BC

Since both triangles' BD sides are the same, BD = BD.

The SSS feature of a congruent triangle allows us to conclude that the triangles DAB and BCD are congruent since they share the same three sides.

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Find the value of x.

Answers

Answer:

Step-by-step explanation:

Use SOH CAH TOA to recall how the trig functions fit on a triangle

SOH: Sin(Ф)= Opp / Hyp

CAH: Cos(Ф)= Adj / Hyp

TOA: Tan(Ф) = Opp / Adj

The triangles are similar   so

x + 46 + 78 = 180

x = 56°

7. You just landed back in Michigan at the airport, but cannot remember where you
parked your car. There are 8 letter sections (A, B, C, D, E, F, G, H) and each
section is labeled 1-22 in the lot. Find the probability that you correctly guess
the letter section and then guess the correct number section where your car is
located. Write your answer as a percentage rounded to the hundredth.

Answers

The probability that you correctly guess the letter section and then guess the correct number section where your car is located is 0.01.

What is probability?

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

We have,

Total possible outcomes.

= 8 x 22

= 176

Now,

Probability of guessing the correct letter.

= [tex]^8C_1[/tex] / 176

Probability of guessing the correct section.

= [tex]^{22}C_1[/tex] / 176


The probability that you correctly guess the letter section and then guess the correct number section.

= [tex]^8C_1 \times ^{22}C_1[/tex] / 176 x 176

= 8 x 22 / 176 x 176

=  1 / 176

= 0 .005

= 0.01

Thus,

The probability that you correctly guess where your car is located is 0.01.

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18 9/10 + 8 3/10 ?????.....

Answers

27 2/10

   or

27 1/5

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

There is something wrong with the reason. I don’t know what it is. Could someone help me. The picture of the figure is on the next post.

Answers

9514 1404 393

Answer:

  CPCTC

Step-by-step explanation:

The applicable reason for statement 4 is "Corresponding Parts of Congruent Triangles are Congruent (CPCTC)".

The reason shown in your problem statement is applicable only within one triangle. The segments of interest are in two different triangles.

help me this is a little confusing for me and i need to be done with it by tomorrow

Answers

Answer:

p(r(-3)) = 114

Step-by-step explanation:

I assume you want help with just #4:

[tex]r(x)=5r+2\\r(-3)=5(-3)+2=-15+2=-13\\\\p(x)=x^2+4x-3\\p(r(-3))=p(-13)=(-13)^2+4(-13)-3=169-52-3=117-3=114[/tex]

Help! What’s the expression of m more than 2

Answers

Answer:

2 + m

Step-by-step explanation:

Could be M > 2 based on what you’re saying or M + 2?

Which equation can be used to find the surface area of the cylinder?

Answers

Answer:

The fourth one

Step-by-step explanation:

Surface area of a cylinder: [tex]SA=2\pi rh+2\pi r^2[/tex]

where r = radius and h = height

We have a given height of 14cm and a given diameter of 6cm

We need the radius, not the diameter

To convert diameter to radius we simply divide by 2

6 / 2 = 3

so R = 3

We now plug in the given values into the formula

[tex]SA=2\pi (3)(14)+2\pi (3)^2[/tex]

This equation matches with answer choice D

I don’t understand I need help:(

Answers

Answer:

a=11

Step-by-step explanation:

set the formula up as

22+7a = 9a

22 = 9a - 7a

22 = 2a

22/2 = a

11 = a

Find the volume of the cone either enter an exact anwer in term of pi or ue 3. 14. For pie. R= 5 l=6

Answers

The volume of the cone is 50π cubic units .

What is a cone ?

A cone is a three-dimensional geometric shape that tapers smoothly from a flat base to a point called the apex or vertex. A cone is formed by a set of line segments, half-lines, or lines connecting a common point, the apex, to all of the points on a base that is in a plane that does not contain the apex.

A cone has a circular base.

A cone has no edges, one face, and one vertex.

The length of the line segment from a cone's apex to any point around the circle of the cone's base is known as the slant height of the cone.

A right circular cone is a cone with its apex perpendicular to the base of the cone and directly above it.

An oblique cone is one that doesn't have its apex precisely over the base's circle.

Radius of the cone = 5

Height of the cone is 6

Volume of the cone = [tex]\frac{1}{3}\pi r^{2} h[/tex] = [tex]\frac{1}{3}\pi *5^{2}* 6 = 50\pi[/tex] cubic units.

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