Jim, Dan and David share some sweets in the ratio 3:1:5. Jim gets 21 sweets. How many more sweets does David get over Dan?

Answers

Answer 1

Answer:

David gets 28 more than Dan

Step-by-step explanation:

Jim: Dan : David: total

3   :    1    :  5       : 3+1+5 = 9

Jim gets 21

21/3 = 7

Multiply each number by 7

Jim: Dan : David: total

3*7 :  1*7  :  5 *7  :  9*7

21  :   7     :  35   :  63

David has 35 and Dan has 7

35-7 = 28

David gets 28 more than Dan


Related Questions

Which of the three side lengths can NOT form a triangle: 2 ft, 3 ft, 8 ft 4 ft, 4 ft, 1, ft 2.5 in, 2.5 in, 2.5 in 4 m, 3 m, 6 m​

Which of the three side lengths can NOT form a triangle: 2 ft, 3 ft, 8 ft 4 ft, 4 ft, 1, ft 2.5 in, 2.5

Answers

The side lengths that cannot form a triangle are: 2 ft, 3 ft, 8 ft.

here are some number : 1,7,3 and 5
a) what is the smallest number you can make
b) what is the largest number you can make

Answers

Answer:

Step-by-step explanation:

Smallest number:7-3-1=3

Largest number: 7x3x1=21

Does 4.5, 6, and 7.5 make a right triangle?

Answers

Answer:

yes.

Step-by-step explanation:

which of the following summarizes a t test that was significant and associated with a large effect size?
a. t(22) = 3.02, p< .05, d = .36
b. t(30) = 1.03, p> .05, d = .20
c. t(60) = 1.76, p> .05, d = .45
d. t(12) = 2.95, p< .05, d = .82

Answers

The summary that best fits the criteria of a significant t-test with a large effect size is: d. t(12) = 2.95, p < .05, d = .82

What is t-test?

A t-test is a statistical test

used to determine if there is a significant difference between the means of two groups or conditions. It is based on the t-distribution and is commonly used when the sample size is small and the population standard deviation is unknown.

The t-test compares the means of two groups and calculates a t-value, which measures the difference between the means relative to the variability within the groups.

The given summary provides the following information:

- t(12) = 2.95: This indicates that the t-test was conducted on a sample of size 12, and the calculated t-value is 2.95.

- p < .05: The p-value is less than .05, which implies that the observed difference is statistically significant.

- d = .82: The effect size (d) is .82, indicating a large effect size, meaning there is a substantial difference between the groups being compared.

In summary, option d presents a t-test result with a significant finding (p < .05) and a large effect size (d = .82). This suggests a statistically meaningful difference between the groups, and the effect size indicates a substantial practical significance as well.

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10. Which is the best approximation for Pi? A 14/7 B 44/14 C 14/3 D 3/14​

Answers

Answer:

I think its D 3/14

Step-by-step explanation:

Pi is 3.141592654

If this helps mark as brainllest please!!!

D is the answer ………………………..

On his outward journey, Ali travelled at a speed of s km/h for 2.5 hours. On his return journey, he increased his speed by 4 km/h and saved 15 minutes. Find Ali's average speed for the whole journey.

Answers

Answer:

3.08 km/h.

Step-by-step explanation:

We know that,

\(Speed=\dfrac{Distance}{Time}\)

Ali traveled at a speed of s km/h for 2.5 hours.

Let d be the distance and t be the time.

\(2.5=\dfrac{d}{t}\)

\(2.5t=d\)      ...(1)

On his return journey, he increased his speed by 4 km/h and saved 15 minutes. So, distance is d and times is t-15.

\(4=\dfrac{d}{t-15}\)

\(4(t-15)=d\)      ...(2)

From (1) and (2), we get

\(4(t-15)=2.5t\)

\(4t-60-2.5t=0\)

\(1.5t=60\)

\(t=40\)

Put t=40 in (1).

\(d=2.5(40)=100\)

So, t=40 and d=100.

Now,

Total distance = d + d = 100 + 100 = 200

Total time = t + t - 15 = 40 + 40 - 15 = 65

So, the average speed is

\(\text{Average speed}=\dfrac{\text{Total distance}}{\text{Total time}}\)

\(\text{Average speed}=\dfrac{200}{65}\)

\(\text{Average speed}\approx 3.08\)

Therefore, the average speed is 3.08 km/h.

Please Help!
Which ordered pair is a solution of the equation?
y=8x+3y=8x+3y, equals, 8, x, plus, 3
Choose 1 answer:
Choose 1 answer:

(Choice A)
A
Only (1,11)(1,11)left parenthesis, 1, comma, 11, right parenthesis

(Choice B)
B
Only (-1,-5)(−1,−5)left parenthesis, minus, 1, comma, minus, 5, right parenthesis

(Choice C)
C
Both (1,11)(1,11)left parenthesis, 1, comma, 11, right parenthesis and (-1,-5)(−1,−5)left parenthesis, minus, 1, comma, minus, 5, right parenthesis

(Choice D)
D
Neither

Answers

Answer:

C) Both (1 , 11) and (-1, -5)

Step-by-step explanation:

y = 8x + 3

Plugin x = 1  and y = 11 in the equation

11 = 8*1 + 3

11 = 8 +3

11 = 11

So, (1 , 11)  is a solution.

Plugin x = -1  and y =-5 ,

-5 = 8*(-1) + 3

-5 = -8 + 3

-5 = -5

So, (-1 , -5) is also a solution

ouppose f(x) = 6x - 4. Describe how the graph of g compares with the graph of f.
q(x) = 1(x - 6)
selechine c
orrect choice below, and fill in the answer box to complete your choice.
• A. a(x) has a scale factor of compared to f(x). Because it scales the horizontal direction, the graph is compressed honzontally
O B. The graph of g(x) is translated unit(s) down compared to graph of (x).
O C. The graph of g(x) is translated unit(s) up compared to graph of 1(x).
O D. The graph of g(x) is translated unit(s) to the left compared to the graph of f(x).
O E. q(x) has a scale factor of compared to f(x). Because it scales the vertical direction, the graph is stretched vertically.
O F. The graph of g(x) is translated unit(s) to the right compared to the graph of f(x).
O G. g(x) has a scale factor of [ compared to f(x). Because it scales the vertical direction, the graph is compressed vertically.
O H. g(x) has a scale factor of _ compared to f(x). Because it scales the horizontal direction, the graph is statched horizontally.

ouppose f(x) = 6x - 4. Describe how the graph of g compares with the graph of f.q(x) = 1(x - 6)selechine

Answers

F. The graph of g(x) is translated 6 units to the right compared to the graph of f(x)

Find all the points in the form (1, y, z) which are equivalent
to the points (2, -1, 0) and (0, -2, 1)

Answers

The point in the form (1, y, z) that is equivalent to the given points is (1, 3/5, 3/5).

To find all the points in the form (1, y, z) that are equivalent to the points (2, -1, 0) and (0, -2, 1), we can use the concept of vector equivalence.

Let's consider the vector from (1, y, z) to (2, -1, 0). This vector is (2-1, -1-y, 0-z) = (1, -1-y, -z).

Similarly, the vector from (1, y, z) to (0, -2, 1) is (0-1, -2-y, 1-z) = (-1, -2-y, 1-z).

Since these two vectors are equivalent, we can set them equal to each other:

(1, -1-y, -z) = (-1, -2-y, 1-z)

Simplifying this equation, we get:

y - z = 0

2y + 3z = 3

Therefore, all points in the form (1, y, z) that are equivalent to the given points are given by the equations:

y = z

2y + 3z = 3

Solving this system of equations, we get:

y = 3/5

z = 3/5

So the point in the form (1, y, z) that is equivalent to the given points is (1, 3/5, 3/5).

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Solve for x in the diagram below

Solve for x in the diagram below

Answers

The value of the variable x in the given right angle expression is; x = 11

How to solve right angle problems?

We know that a right angle simply means an angle that is equal to 90 degrees.

Now, we see that the sum total of the angle in the diagram is 90 degrees and as such the sum of the two internal angles will be 90 degrees.

Thus;

5x + 35 = 90

Subtract 35 from both sides to get;

5x = 55

x = 55/5

x = 11

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Mary is going to a waterpark with her friends. She has $32 to spend. When she gets there, she sees that the cost of admission is $12 and tickets for side attraction is $2.

Write the inequality that models the situation above.

(no random links please)

Answers

Answer:

12 + 2x < 32

Step-by-step explanation:

x = the number of tickets

Answer:

\(12 + 2x < 32\)

....

if we encounter a question where we have to find zeros of a quadratic polynomial where the middle term cannot be split then what to do ??

nonsense answers just for the sake of points will be reported

Answers

If the expression inside the square root (the discriminant) is positive, then the quadratic has two distinct real roots. If the discriminant is zero, then the quadratic has one real root with a multiplicity of 2 (also known as a “double root”)

What is the zeros of a quadratic polynomial?

If the middle term of a quadratic polynomial cannot be split, you can still find the zeros of the polynomial using the quadratic formula:

If the quadratic polynomial is of the form  \(ax^2 + bx + c,\)  then the zeros can be found using the formula:

\(x = (-b\pm \sqrt{\frac{b^2-4ac}{2a}})\)

The discriminant is the phrase used in this context beneath the square root. There are two real roots in the polynomial if the discriminant is positive.

If it is zero, there is only one real root in the polynomial. (which is a repeated root). In the event that it is negative, the polynomial has two complex roots.

Therefore, you can use this formula to find the zeros of the quadratic polynomial, even if the middle term cannot be split.

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According to the synthetic division below, which of the following statements
are true?
Check all that apply

According to the synthetic division below, which of the following statementsare true?Check all that apply

Answers

3 Answers:Choice AChoice CChoice E

=================================================

Explanation:

The number in the upper left corner of the synthetic division table is the test root we're trying out. If it leads to a remainder of 0 (bottom right corner), then we have a winner. In this case, we have a root. Choice A is one of the answers.

Since 4 is a root, this leads to x-4 being a factor. Think of x = 4 becoming x-4 = 0 when we subtract 4 from both sides. Choice C is another answer.

The remaining stuff in the bottom row forms the quotient polynomial. The coefficients 3 and -1 lead to 3x+(-1) which simplifies to 3x-1.

So this means dividing 3x^2-13x+4 over x-4 yields the quotient 3x-1 with a remainder of 0. Therefore, choice E is the correct equation compared to choice D which is close but not quite there.

On 1 October 2015 Karen purchased freehold land and buildings for £480,000, of which the land element was £80,000. The buildings had a useful life of 25 years at the date of purchase. The residual value was nil.
On 1 October 2020 the land and buildings were revalued to £500,000, of which the land element was £100,000. There was no change in the useful life of the property.
According to IAS 16 Property, Plant and Equipment, what should be the depreciation charge for the year ended 30 September 2021 and the balance on the revaluation surplus as at that date?
A Depreciation charge £16,000; revaluation surplus £100,000
B Depreciation charge £20,000; revaluation surplus £100,000
C Depreciation charge £25,000; revaluation surplus £116,000
D Depreciation charge £20,000; revaluation surplus £116,000

Answers

Accoding to the calculations , the correct answer is:

A) Depreciation charge 16,000; revaluation surplus £20,000

According to IAS 16 Property, Plant and Equipment, the depreciation charge for an asset should be based on its carrying amount, useful life, and residual value.

In this case, the buildings were purchased for £400,000 (£480,000 - £80,000) and had a useful life of 25 years. Since there is no residual value, the depreciable amount is equal to the initial cost of the buildings (£400,000).

To calculate the annual depreciation charge, we divide the depreciable amount by the useful life:

£400,000 / 25 = £16,000

Therefore, the depreciation charge for the year ended 30 September 2021 is £16,000.

Now, let's calculate the balance on the revaluation surplus as at that date.

The revaluation surplus is the difference between the fair value of the property and its carrying amount. On 1 October 2020, the property was revalued to £500,000, and the carrying amount was £480,000 (£400,000 for buildings + £80,000 for land).

Revaluation surplus = Fair value - Carrying amount

Revaluation surplus = £500,000 - £480,000

Revaluation surplus = £20,000

Therefore, the balance on the revaluation surplus as at 30 September 2021 is £20,000.

Based on the calculations above, the correct answer is:

A) Depreciation charge £16,000; revaluation surplus £20,000

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Hiroshi spends 30 minutes on history homework, 60 minutes on English homework, and x minutes on math homework. One fourth of his total homework time is spent on math. Which equation can be used to find the amount of time Hiroshi spends on his math homework?
1/4(x + 30 + 60) = x

Answers

The equation which can be used to find the amount of time Hiroshi spends on his math homework is 1/4(x + 30 + 60) = x

According to the question,

Let total time Hiroshi spent on his homework be "y"

Total time spent on history homework = 30 minutes

Total time spent on English homework = 60 minutes

It is given that the time spent on math homework is x

and Also that One fourth of his total homework time is spent on math

=> x = 1/4y

=> 4x = y ----------(1)

Also , Sum of time taken in different homework will be equal total time y

=> 30 + 60 + x = y --------(2)

Substituting the values of x from equation (1) in equation (2)

=> 30 + 60 + x = 4x

divide by 4

=> 1/4(x + 30 + 60) = x is equation

=> x + 30 + 60 = 4x

=> 3x = 90

=> x = 90/3

=> x = 30 minutes

Total time taken in doing homework is 120 minutes

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what is mean mode and median​

Answers

Answer:

mean is the average of the numbers (add them all up then divided by how many number there are)

mode is the number that comes out the most often

range is the largest number minus the smallest

median is the middle number when they are lined up from greatest to the least  (unless there's two)

Step-by-step explanation:

a song we learned in 5th grade XD that i still remember somehow

Answer:

This is what mean, median, and mode are-

Step-by-step explanation:

Mean is when you add all the number there are and divide by the total of numbers that you added together like this for example.

(1+2+3+4+5 = 15) THEN (15 / 5 = 3) THE MEAN IS 3.

Median is when you group the number from smallest to biggest and keep on crossing out both side of the number till you reach the middle.

(1, 2, 3, 4, 5) YOUR MEDIAN SHOULD BE 3 CAUSE IF YOU CROSS OUT 1,5 THEN 2,4 YOU WILL GET 3.

Mode are the most common number that you will see. You could have no mode or many mode too.

(1, 2, 2, 3, 4, 5) THERE IS ONLY ONE MODE HERE WHICH IS 2.

(1, 2, 3, 4, 5) THERE IS NO MODE CAUSE THERE IS NO REPEATING NUMBER.

(1, 2, 3, 4, 4, 5, 5) THERE IS TWO MODE NOW WHICH ARE 4 AND 5.

HOPE THIS HELPS!

5(1-b)=8(b+2) solve for b

Answers

Step-by-step explanation:

Hey there!!

Here,

\(5(1 - b) = 8(b + 2)\)

\( \: \: \: \: \: 5 - 5b = 8b + 16\)

\( \: \: \: \: \: \: \: 8b + 5b = 5 - 16\)

\( \: \: \: \: \: \: \: 13b = - 11\)

\( \: \: \: \: \: \: \: b = \frac{ - 11}{13} \)

Therefore the value of b is -11/13.

Hope it helps...

Step-by-step explanation:

first open up the brackets according to BODMAS to get

5-5b=8b+16

then collect like terms together and make sure to change the sighns eg - becomes +

5-16=8b+5b

you get

-11=13b

then divide both sides with 13 to get b

-11/13=b ( you can leave as a negative decimal according to the question)

Simplify 6 -square root of 15 divided by 2

Answers

Answer:

hjyfgtuygtfvfvhjkoijuhgytfrdetrft

Step-by-step explanation:

dcfgvhbjnkiouytrfdr

Answer:

-2.94

Step-by-step explanation:

I got the answer correct on edge

The ratio of the measures of the sides of a triangle is 3:7:9. If the perimeter of the triangle is 266 inches, find the length of the shortest side

Answers

Answer: I simplified it for you lol

Step-by-step explanation: Simplify the matrix.

19 + 266 inches

PLEASE HURRY!!

State the domain and range for the function f(x) = 2x² - 7.

Answers

Domain

\(-\infty \: < x < \infty\)

Range

\(f\left(x\right)\ge \:-7\:\)

If anyone can help with number 4

If anyone can help with number 4

Answers

if you do 27-12 (which is 15) you add 15 to 13 and 20

Often, conditional probabilities are worded with what​ phrase?

​"dependent"

​"given that"

​"either/or"

​"mutually exclusive"

Answers

The correct phrase commonly used to word conditional probabilities is "given that." This phrase explicitly indicates the condition or event on which the probability calculation is based and emphasizes the dependence between events in the probability calculation.

Let's discuss each option in detail to understand why the correct phrase is "given that" when wording conditional probabilities.

"Dependent": The term "dependent" refers to the relationship between events, indicating that the occurrence of one event affects the probability of another event. While dependence is a characteristic of conditional probabilities, it is not the specific wording used to express the conditionality.

"Given that": This phrase explicitly states that the probability is being calculated based on a specific condition or event being true. It is commonly used to introduce the condition in conditional probabilities. For example, "What is the probability of event A given that event B has already occurred?" The phrase "given that" emphasizes that the probability of event A is being evaluated with the assumption that event B has already happened.

"Either/or": The phrase "either/or" generally refers to situations where only one of the two events can occur, but it does not convey the conditional nature of probabilities. It is often used to express mutually exclusive events, where the occurrence of one event excludes the possibility of the other. However, it does not provide the specific condition on which the probability calculation is based.

"Mutually exclusive": "Mutually exclusive" refers to events that cannot occur simultaneously. While mutually exclusive events are important in probability theory, they do not capture the conditionality aspect of conditional probabilities. The term implies that if one event happens, the other cannot occur, but it does not explicitly indicate the specific condition on which the probability calculation is based.

In summary, the correct phrase commonly used to word conditional probabilities is "given that." It effectively introduces the condition or event on which the probability calculation is based and highlights the dependency between events in the probability calculation.

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QUICKKKKKK HELPPPPLines a and b are parallel and lines e and f are parallel. Vertical and parallel lines a and b are intersected by horizontal lines e and f. At the intersection of lines a and e, the top left angle is angle 1 and the top right angle is angle 2. At the intersection of lines b and e, the bottom left angle is angle 3. At the intersection of lines b and f, the uppercase right angle is angle 4 and the bottom left angle is angle 5. If m1 = 89°, what is m5? 1 89 91 179

Answers

Answer:

It is 91

Step-by-step explanation:

:)

Answer:

C: 91

Step-by-step explanation:

Unit test Edge 2021

-6=b/18 solve this equation

Answers

From the given equation, we are to solve for b.

\(\begin{gathered} -6=\frac{b}{18} \\ \text{Cross mult}iply \\ -6\times18=\text{ b} \\ -108=\text{ b} \end{gathered}\)

Hence the answer of b is -108.

If I don't get an A in math my mom will hit me again

What is the product?

Enter your answer as a fraction, in simplified form, in the box.

-1/4 x -6/11

Answers

Answer:

\(\frac{3}{22}\)

Step-by-step explanation:

To multiply fractions, just multiply the numerators (tops) times each other and the denominators (bottoms) times each other:

\(\frac{-1}{4}\) x \(\frac{-6}{11}\) = \(\frac{6}{44}\)

Now all we have to do is to simplify.  In this case, just find the largest number that goes evenly into the numerator and the denominator: it is 2.  Divide numerator and denominator by 2 to get the final answer: \(\frac{3}{22}\)

The altitude of a right triangle is 16 cm. Let ℎ be the length of the hypotenuse and let p be the perimeter of the triangle. Express ℎ as a function of p.

Answers

We get: h = 8√(p + √(p^2 - 64))

Let the base and the other leg of the right triangle be denoted by b and a, respectively. Then we have:

a^2 + b^2 = h^2 (by the Pythagorean theorem)

The area of the triangle can also be expressed as:

Area = (1/2)bh = (1/2)ab

Since the altitude is 16 cm, we have:

Area = (1/2)bh = (1/2)(16)(b + a)

Simplifying, we get:

Area = 8(b + a)

Now, the perimeter of the triangle can be expressed as:

p = a + b + h

Solving for h, we get:

h = p - a - b

Substituting for a and b using the Pythagorean theorem, we get:

h = p - √(h^2 - 16^2) - √(h^2 - 16^2)

Simplifying, we get:

h = p - 2√(h^2 - 16^2)

Squaring both sides, we get:

h^2 = p^2 - 4p√(h^2 - 16^2) + 4(h^2 - 16^2)

Rearranging and simplifying, we get:

h^2 - 4p√(h^2 - 16^2) = 4p^2 - 64

Squaring both sides again and simplifying, we get a fourth-degree polynomial in h:

h^4 - 32h^2p^2 + 256p^2 = 0

Solving this polynomial for h, we get:

h = ±√(16p^2 ± 16p√(p^2 - 64))/2

However, we must choose the positive square root because h is a length. Simplifying, we get:

h = √(16p^2 + 16p√(p^2 - 64))/2

h = 8√(p + √(p^2 - 64))

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Which function has real zeros at x = 3 and x = 7?
f(x) = x2 + 4x - 21
Cf(x) = x2 - 4x - 21
Cf(x) = x2 - 10x + 21
f(x) = x2 - 10x - 21

Answers

Answer:

f(x) = x2 – 10x + 21

Step-by-step explanation:

I got it because you substract and add the last part

Use an appropriate substitution to solve 2yy' + x^2 + y^2 + x = 0.

Answers

The general solution to the differential equation is y = [-(1/4)x^2 - (1/3)x + (C/4)]^(1/3).

To solve 2yy' + x^2 + y^2 + x = 0 using an appropriate substitution, we can substitute u = y^2. Taking the derivative of u with respect to x, we get du/dx = 2yy'. We can then rewrite the original equation as 2(u^(1/2))(du/dx) + x^2 + u + x = 0.

This is now a separable differential equation, where we can move the u term to the right side and the x terms to the left side: 2(u^(1/2))du/u = -(x^2 + x)dx. Integrating both sides, we get 4/3u^(3/2) = -(1/3)x^3 - 1/2x^2 + C, where C is the constant of integration.

Substituting back u = y^2, we get 4/3y^3 = -(1/3)x^3 - 1/2x^2 + C.

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I'm giving extra points!
please help me

Write the word sentence as an equation. 11 3/4 is the quotient of a number y and 6 1/4

Answers

Answer:

y/6.24=11.75

Step-by-step explanation:

n every game theory payoff matrix there must be at least one player that has a dominant strategy. True False

Answers

Not every game theory payoff matrix has a dominant strategy for at least one player. Some games have multiple equilibria, and others have no equilibria at all.

In every game theory payoff matrix, there must be at least one player that has a dominant strategy. This statement is false. A dominant strategy is one that will result in the highest possible payoff for a player, regardless of the choices made by other players. However, not all games have a dominant strategy, and in some cases, neither player has a dominant strategy.

In game theory, a payoff matrix is a tool used to represent the different strategies and payoffs of players in a game. A player's payoff depends on the choices made by both players. In a two-player game, for example, the matrix shows the possible choices of each player and the resulting payoffs.

When a player has a dominant strategy, it means that one strategy will always result in a better payoff than any other strategy, regardless of the other player's choices. If both players have a dominant strategy, the outcome of the game is known as the Nash equilibrium.

However, not all games have a dominant strategy. Some games have multiple equilibria, and others have no equilibria at all. In such cases, the players must use other methods, such as mixed strategies, to determine their best course of action.

In conclusion, not every game theory payoff matrix has a dominant strategy for at least one player. Some games have multiple equilibria, and others have no equilibria at all.

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The perimeter of a rectangle is P= 2L plus +2W, where L is the length of the rectangle in W is the width period find the perimeter of the rectangle if its length is 5 feet more than its width and the width is 7 feet using four different numerators,write an equation in which four fractions ,when added,have a sum of 1 Explain how political divisions are created and how this case affected political divisions. When parents offer their children allowances when they do chores around the house, they are using the _____ to influence their children's behaviors. What is the value of 5k - 6 when k = 9?O 84O 375O 399O 2019 question is in the pic Using the following prices, calculate the unit price to determine how much it would cost for 7 muffins and 14 juice boxes. $7. 74 for 6 muffins $5. 52 for 8 juice boxes a. $18. 69 b. $19. 89 c. $21. 91 d. $26. 52 Please select the best answer from the choices provided A B C D. How did the fordney-mcumber act affect u. S. Trade relations with other nations?. weathered bedrock or weathered parent material (regolith), excluding the unweathered bedrock itself, is designated the how wide is a mouses skin cell Cussing is an effective professional form of communication.Question 1 options: True FalseAbbreviations and acronyms are an easy and helpful way for health care professionals to communicateQuestion 2 options: True FalseWhich of the following is not good professional communication?Question 3 options:speaking politely speaking clearly and with proper vocabularyspeaking honestlycussing at all peopleAcronyms are very commonly used in American health care setting. U.S.A. the term is an example of an acronym. Question 4 options: True FalseThe best way to keep a job is to show up on time, speak professionally, and treat people with respect.Question 5 options: True False Juan has a sandbox and wants to double the length, width and height. if the original box holds 1 cubic foot of sand, how many more cubic feet of sand must be added to fill the box What a sprint means? What the value of w? PLEASE HELP :)Gina wants to attend a college with a current tuition of $10,000 a year. She will graduate from high school in two years. Roughly how much will Gina need to save for one-years tuition to account for an annual rate of inflation of 2%?A - $204.00B- $1,400.00C- $10,404.00D- $20,000.00 If the population of a country grows at a rate of approximately 5 percent per year, the number of years required for the population to double is closest to5 years10 years15 years25 years35 years write a function is unique that accepts a dictionary from strings to strings as a parameter and returns true if no two keys map to the same value (and false if any two or more keys do map to the same value). Here are some reasons for discouraging the practice of accepting friends as clients or of becoming socially involved with clients: Find the density of a substance with a mass of 5.0 kg and a volume of 43 m3. A deer jumped 6.75 feet high. The deer danalso jump a distance of 14.5 feet. How manyinches high did the deer jump?