5 donuts and 2 cups of hot Chocolate costs 24$. 2 donuts and 3 cups of hot chocolate costs 14$.How much does each donut and each cup of hot chocolate cost​

As per the combination concept, there are 735,471 ways to choose 16 shows from a set of 24.

To find the number of ways to choose 16 shows from a set of 24, we can use the formula for combinations, which is:

ⁿCₓ = n! / x!(n-x)!

Where n is the total number of objects in the set (in this case, 24), and x is the number of objects we want to choose (in this case, 16). The exclamation mark (!) denotes the factorial function, which means multiplying the number by all positive integers less than itself.

Plugging in the numbers, we get:

²⁴C₁₆ = 24! / 16!(24-16)! = 735471

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Answer:

1.66/1 2/3 rice crispies

Step-by-step explanation:

10/6 = 1 and 2/3

Answer:

2.5 per friend

Step-by-step explanation:

Each friend gets 1 full treat.

10-6=4

6/4

6 people / 4 treats left = 1.5

Add 1.5 and 1 is 2.

Answer:

18f+6

Step-by-step explanation:

The AC is 18 feet long.

Triangles are primarily involved in the mid-point theorem. According to this rule, if the midpoints of any two triangle sides are connected, the line formed is parallel to the third side and equal to half of the third side. Contrarily, if a parallel line is drawn from one side's midpoint to any other, it will bisect the third side and be equal to half the side to which it is parallel.

As shown in the diagram,

AM = MB, CN = NB.

The midpoints of the sides AB and CB, respectively, are M and N.

So, according to the midpoint theorem,

MN ║ AC,

The alternative interior angle theorem demonstrates that

∠BMM ≅∠BAC

∠BNM ≅∠BCA

According to the AA similarity postulate,

ΔBMM ≅∠BAC

The characteristic of identical triangles

\(\frac{BM}{BA} = \frac{MN}{AC}\\ \frac{BM}{BM+MA} = \frac{MN}{AC}\\ \frac{4}{4+4} = \frac{9}{AC}\\ \frac{4}{8} =\frac{9}{AC} \\\)

4AC=72

AC=18 ft

As a result, AC is 18 feet long.

The complete question is:-

What is the length of the AC?

3 ft

4 ft

9 ft

18 ft

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The rule says that the sum of any two sides has to be smaller than the third side so, no it can't

Given that,

The number of heating degree days can be calculated by the formula H = 65 - T, where 65 is degrees Fahrenheit, and T is the average of the high and low temperatures for the day.

Solution,

The high temperature was 51°F and the low temperature was 45°F.

Average of high and low temperatures for the day is given by :

\(T=\dfrac{51+45}{2}\\\\T=48^{\circ} F\)

Now using formula :

H = 65 - T

H = 65 - 48

H = 17

Hence, there are 17 heating degree days.

Option (b) beta A=0.95 beta B=1.14 is correct regarding the beta of Portfolio A and the beta of Portfolio B.

Given below is the expected return and standard deviation of Assets A and B:

Expected return of A = 15%

Expected return of B = 16%

Standard deviation of A = 21%

Standard deviation of B = 25%

The correlation coefficient between A and B = 0.65

The correlation coefficient between A and market portfolio = 0.75

The correlation coefficient between B and market portfolio = 0.85

The standard deviation of the market portfolio = 22%

We know that, Beta of A = (Correlation between A and market portfolio * Standard deviation of A) / Standard deviation of the market portfolio

Beta of B = (Correlation between B and market portfolio * Standard deviation of B) / Standard deviation of the market portfolio

On substituting the given values, we get: Beta of A = (0.75 * 21%) / 22% = 0.71

Beta of B = (0.85 * 25%) / 22% = 0.97

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9514 1404 393

Answer:

  b, d

Step-by-step explanation:

When you're taking the cube root, the thing you're taking the cube root of is best expressed as a cube.

You know that 2^3 = 8 and 3^3 = 27, so any other representation of 8 or 27 is irrelevant to the problem.

The appropriate choices are the second and fourth ones (B, and D).

Δ ABP ~ Δ QPB  ~ Δ BCQ by AA rule.

Similar triangles are the triangles that look similar to each other but their sizes might not be exactly the same.

Given that, in a figure, AB ║ PQ, AP ║ BQ and BP ║ CQ,

We need to prove, Δ ABP ~ Δ QPB  ~ Δ BCQ

The proof is as follows :-

        Statements                                                              Reasons

1) AB ║ PQ, AP ║ BQ, BP ║ CQ,                                        Given

2) ∠ ABP ≅ ∠ BCQ and ∠ BAP ≅ ∠ CBQ            corresponding angles

3) ∠ ABP ≅ ∠ QPB and ∠ CBQ ≅ ∠ PQB           alternate interior angles

4) ∠ ABP ≅ ∠ BCQ ≅ ∠ QPB and

∠ BAP ≅ ∠ CBQ ≅ ∠ PQB                                       Transitive property

5) Δ ABP ~ Δ QPB  ~ Δ BCQ                                          By AA rule

Hence, proved

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Answer:The answer is: A program that allows you to work part-time to earn money for college expenses

The other choices:

B) Money that is given to you based on criteria such as family income or your choice of major, often given by the federal or state government- This describes need-based financial aid or scholarships.

C) Money that you borrow to use for college and related expenses and is paid back later- This describes student loans.

D) Money that is given to you to support your education based on achievements and is often merit based- This describes merit-based scholarships.

Work-study specifically refers to a program that allows students to work part-time jobs, either on or off campus, while enrolled in college. The earnings from these jobs can be used to pay for educational expenses. Work-study is a form of financial aid, and eligibility is often based on financial need.

The key indicators that the first choice is correct:

It mentions working part-time

It says the money earned is for college expenses

While the other options describe accurate definitions of financial aid types, they do not match the key components of work-study: part-time employment and using the earnings for educational costs.

Hope this explanation helps clarify why choice A is the correct description of what work-study is! Let me know if you have any other questions.

Step-by-step explanation:

The value of expression (39 × 5) is 195

In this question, we have been given an expression  (39 × 5).

We need to find the distributive Property to simplify (39 × 5).

Consider given expression  (39 × 5).

The factors of 39 are:

39 = 13 * 3

Using distributive property,

(39 × 5)

= (13 * 3) * 5

= 13 * (3 * 5)

= 13 * 15

= 195

Therefore, the value of expression (39 × 5) is 195

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Answer:

3.5

Step-by-step explanation:

Answer:

1716

Step-by-step explanation:

These ribbons be awarded to 3 of 13 pigs in 1716

We have given that,

13 pigs are entered in the best pig competition at the country fair the judges will award very special pigs with blue, red, and white ribbons

We have to determine how many different ways can these ribbons be awarded to 3 of 13 pigs.

A permutation of a set is, loosely speaking, an arrangement of its members into a sequence or linear order, or if the set is already ordered, a rearrangement of its elements.

So the judges are going to pick 3 pigs from the 13 to give a ribbon. Since the ribbons are different, the order does matter.

So this is a permutation. This can be set up like this:

Therefore we get,

13*12*11=1716

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Answer: 1 gallon converts to 4 quarts convert to 8 pints convert to 16 cups

Step-by-step explanation:

Answer:

7. According to your line of best fit, what is the arm span of a 74-inch-tall person?

Dont need to do all. Just do thep

Answer:

Step-by-step explanation:

Solve Adding, subtracting and finding the least common 3x:8=7:2

3x:8=7:2. This deals with adding, subtracting and finding the least common multiple. Overview; Steps; Topics Terms and ... Step 2 : x Simplify — 8 ... Two fractions are called equivalent if they have the same numeric value. For example : 1/2 ...

Answer:

D. exponential; y = 98 • 0.79x

Step-by-step explanation:

Answer:

Option D is correct.

Exponential model are the data best represented.

Equation:  

Step-by-step explanation:

An exponential function is in the form of   .....[1] where a is the initial value and b≠0 , b > 1.

Consider any two points from the table;

(0, 98) and ( 1, 77)

Then substitute these in [1];

For (0, 98)

x = 0 and y = 98 substitute in [1] we get;

98 = a

Similarly, For (1, 77)

we have;

77 = ab

Substitute the value of a =98 we get;

Divide both sides by 98 we get;

⇒ b = 0.79

We get an equation;  

Therefore, the data represent here is, Exponential function.

also, an equation to model the data is;  

...............................................................................................................................................

All the functions grow with x except B that decreases when x grows. That i your function. Also check that when you divide the population of two consecutive years, the ratio remains 0.79 approx

The solution is D

...............................................................................................................................................

Exponential would be the correct answer I believe...

...............................................................................................................................................

For a better understanding of the explanation provided here please find the attachment.

The solution will employ the use of the trial and error method and basic math.

As can be see from the given data, the deer population keeps on falling from the year zero. Thus, we can safely conclude that the quadratic and the linear models will not represent the situation at all.

We are left with the exponential model and since we have  in it we can see that the deer population will fall as the years pass.

We have checked it in the table that has been provided and we have concluded that the data is best represented by the exponential model because when the exponential formula is applied it is almost equal to the actual number of deers.

Please check the attached table for a better understanding.

Answer:

[see below]

Step-by-step explanation:

Standard Form Is:

\(Ax+By=C\)

C is a constant, where A and B would be coefficients.

Using the standard form equation, below would be examples of a standard

form equation.

\(5x-3y=9\\\\2x+3y=0\\\\x+y=1\\\\\)

All others would be non-examples since they are not in standard form.

Hope this helps.

Answer:

this drink has relatively less sugar at Jake's Java.

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가장 똑똑한 것으로 표시하십시오 :)

It is plausible to assume that the die is fair because there is a 3% possibility that a loaded die might randomly yield the outcomes that we saw.

The appropriate conclusion is that there is a 3% chance that a loaded die could randomly produce the results we observed. We tested this hypothesis by rolling the die 200 times and our p-value turned out to be 0.03. This means that there is only a 3% chance that the results we observed could have been produced randomly by a loaded die, so it is reasonable to conclude that the die is fair. This is because a p-value of 0.03 is considered to be statistically significant, which indicates that the results we observed are unlikely to have been due to chance. Therefore, we can conclude that the seller's claim that the die will favor the outcome 6 is likely false.

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Answer:

The value if x is 0.9875.

Step-by-step explanation:

First, we have to get rid of brackets by expanding :

\(0.5(2x + \frac{3}{4} ) - \frac{1}{3} (0.1 + x) = 1\)

\(0.5(2x) + 0.5( \frac{3}{4} ) - \frac{1}{3} (0.1) - \frac{1}{3} (x) = 1\)

\(x + \frac{3}{8} - \frac{1}{30} - \frac{1}{3} x = 1\)

Next you have to collect like terms :

\(x - \frac{1}{3} x + \frac{3}{8} - \frac{1}{30} = 1\)

\( \frac{2}{3} x + \frac{41}{120} = 1\)

Lastly, you can solve x :

\( \frac{2}{3} x = 1 - \frac{41}{120} \)

\( \frac{2}{3} x = \frac{79}{120} \)

\(x = \frac{79}{120} \div \frac{2}{3} \)

\(x = \frac{79}{80} \)

\( x = 0.9875\)

Answer: x=(-7, 4)

Explanation: Use calculator for step by step explanation. Photo-math calculator helps a lot.

Answer:

1.9x+3.7

Step-by-step explanation:

Combine like terms

3.6x + (-1.7x)= 1.9x

5.9 - 2.2= 3.7

Hence, 1.9x + 3.7.

[RevyBreeze]

Answer:

1.9x+3.7

Step-by-step explanation:

start by combining like terms

(3.6x-1.7x)+(5.9-2.2)

1.9x+3.7

Answer:

Kay sold 6 boxes and Ayan sold 19 boxes

Step-by-step explanation:

Let x be the number of boxes sold by Kay and

Let y be the number of boxes sold by Ayan

Then according to given statements, the equations will be:

\(x+y = 25\ \ \ Eqn\ 1\\x = y-13\ \ \ Eqn\ 2\)

Putting x = y-13 in equation 1

\(y-13+y = 25\\2y-13=25\\2y=25+13\\2y = 38\\\frac{2y}{2} = \frac{38}{2}\\y = 19\)

Putting y = 19 in equation 2

\(x = 19-13 = 6\)

So we get x=6 and y=19

Hence,

Kay sold 6 boxes and Ayan sold 19 boxes

Answer:

C

Step-by-step explanation:

the correct option is C

Based on the data in the table, if a cow is randomly selected from farm B, the probability that its feed includes seaweed is 0.597 (Option D) and without is 0.57

Note that the total number of feed with sea weed is 74.
And the total number of cows on the farm B is 124.

Thus, the cows whose feed includes seaweed is 74/124

= 0.59677419354

≈ 0.597

The Probability of those whose feed is without sea weed is

Note that the total number of feed without sea weed is 40.
And the total number of cows on the farm B is 76.

Thus, the probability is 40/70
= 0.5714285714

≈ 0.571

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Step-by-step explanation:

Notice that 1km = 1000m = 100000cm.

Therefore 21.7km = 2170000cm.

Answer:

2170000 cm

Step-by-step explanation:

21.7 k/m × 10³ × 10²

Answer:

8 units²

Step-by-step explanation:

The area (A) of the shaded part (right triangle ) is calculated as

A = \(\frac{1}{2}\) × area of rectangle

   = 0,5 × 4 × 4 = 0.5 × 16 = 8 units²

Answer:

8 units ^2 are shaded

Step-by-step explanation:

The total area of the square is 4 * 4 = 16

1/2 of the square is shaded so

1/2 * 16 = 8

8 units ^2 are shaded

Full Question :

A local college student will be randomly selected to attend a leadership conference in Washington, D.C. There are 2060 local college students, of which 40% are male. 520 of the college students are graduate students, and half of the graduate students are female. Which of the following best represents the probability that the selected college student will be a male student or a graduate student?

A)48 percent B) 52 percent C) 42 percent D)56 percent

Answer and Explanation:

Total local college students = 2060

40% of local college students male = 0.40×2060 = 824

College students who are graduates =

520

College students who are male graduates=520-260(half of college graduates are female)=260

Probability= number of favorable outcomes/total number of outcomes

Probability of selecting a male student or a graduate student

= probability of selecting a male student + probability of selecting a graduate student

= 820/2060+260/2060

=1080/2060

= 54/103 = 0.5242

Probability is approximately = 52%

Answer B