A chef is making chicken noodle soup. The recipe calls for 1/4 cup of celery for each bowl of soup. If the chef has 9 1/2 cups of celery, how many bowls of soup can be made?

Answer: 28

Step-by-step explanation: the other responses seem too much and do you know if the girls are 7 and the boys are 5?

The calculated volume of the prism is 702 cubic cm

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

The trapezoidal prism (see attachment)

The formula of the volume of a trapezoidal prism is

Volume = Base area * Height

Where we have

Base area = 1/2 * (8 + 10) * 6

Evaluate the sum of 8 and 10

Base area = 1/2 * 18 * 6

Evaluate the products of 1/2, 18 and 6

Base area = 54

Also, we have

Height = 13

So, the volume is calculated as

volume = 13 * 54

Evaluate

volume = 702

Hence, the volume of the prism is 702 cubic cm

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Answer:

16

Step-by-step explanation:

plug in the numeric values.

-6 + 22

16

Answer:

{x,y}={14,8}

Step-by-step explanation:

Based on the information provided, the inference that a significant number of students in the homeroom class plan to become soldiers is valid.

The teacher surveyed his homeroom class about their post-graduation plans. He found out that most of his students plan to become soldiers.

An inference is a conclusion that can be drawn from a given set of data. In this case, the inference that can be made is that a significant number of students in the homeroom class plan to become soldiers.Therefore, the inference is valid based on the data provided.

However, it is essential to keep in mind that the sample size in the homeroom class is relatively small and may not be representative of the entire population. If the teacher had surveyed a more extensive and diverse population, the results might have been different.

In conclusion, based on the information provided, the inference that a significant number of students in the homeroom class plan to become soldiers is valid. However, this may not apply to the entire population, and it is crucial to consider the sample size when drawing inferences.

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Answer:

I think 0

Step-by-step explanation:

Answer:

No is correct

Step-by-step explanation:

convert 2/3 into 6ths

4/6 = 8/12

so no, non of them equal to 4/8

Answer: No they are not

Step-by-step explanation:

In ΔRMN and ΔQPN,

∠M = ∠P (Given)

RN = QN (Given)

∠MNR = ∠QNP (Vertically Opposite Angles)

∴ ΔRMN ≅ ΔQPN (By AAS Congruence Criteria)

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By ASA congruence theorem ΔMNR≅ΔNPQ. Therefore, option D is the correct answer.

From the figure, there are two triangles ΔMNR and ΔNPQ.

Triangle congruence theorem or triangle congruence criteria help in proving if a triangle is congruent or not. The word congruent means exactly equal in shape and size no matter if we turn it, flip it or rotate it.

From the triangles ΔMNR and ΔNPQ

RN = NQ (Given)

∠RMN = ∠NPQ (Given)

∠MNR = ∠PNQ (Vertically opposite angles)

By ASA congruence theorem ΔMNR≅ΔNPQ. Therefore, option D is the correct answer.

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Step-by-step explanation:

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Answer:

y=1x+3

Step-by-step explanation:

Given the following exponential equation:

For x = 0, we have:

Then, the y-intercept must be y = 2. Now, for x = -2:

Looking at D, we see that the y-intercept is 4, so this graph does not correspond to the equation. Looking at B and C, we see that y ≠ 8 for x = -2, so we discard them.

For A:

We see that y = 8 for x = -2, and the y-intercept is 2. Then, this is the corresponding graph of the equation.

Answer: A

The expression that represents the volume of the prism is

2 × 3 × 9 units³. That is option C.

Prism is defined as the type of polyhedron that has two polygonal faces lying in parallel planes and with the other faces parallelograms.

A prism can be of a regular shape or of an irregular shape. The volume of a regular shapes prism can be calculated using the formula stated below

volume of a prism = l × b × h

Length (l) = 9 units

Breath = 2 units

Height (h) = 3 units.

Therefore, the volume of the given prism can be calculated as 2 × 3 × 9 units³.

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Answer:

x = 16

Step-by-step explanation:

Step 1: We know DF - DE = EF

9x - 39 - 47 = EF

Step 2: Simplify

9x - 86 = EF

Step 3: Set the equation equal to 3x + 10

9x - 86 = 3x + 10

6x = 96

x = 16

Therefore x is equal to 16

Answer:

58

Step-by-step explanation:

DE + EF = DF

47+ 3x+10 = 9x-39

Combine like terms

57 +3x = 9x-39

Subtract 3x from each side

57+3x-3x = 9x-3x-39

57 = 6x-39

Add 39 to each side

57+39 = 6x-39+39

96 = 6x

Divide by 6

96/6 = 6x/6

16 =x

We want the length of EF

EF = 3x+10

     = 3*16 +10

    = 48+10

   = 58

It is difficult to make a general statement about whether tennis coaches generally get paid more than football coaches in Jacksonville or elsewhere, as the salaries of coaches are influenced by a Wide range of factors

As an AI language model, I do not have access to up-to-date information about salaries of coaches in Jacksonville. However, in general, the salaries of coaches vary widely depending on a number of factors, such as the type of sport, the level of competition, the location, the success of the team, and the budget of the institution.

In terms of tennis and football, football is generally considered to be a more popular and high-profile sport than tennis in the United States, which could result in higher salaries for football coaches at the collegiate level. Football also typically generates more revenue and has larger budgets for athletic programs, which could also influence the salaries of coaches.

However, there are also factors that could affect the salaries of tennis coaches. For example, if a tennis program has a particularly successful season or has produced successful players, the coach may negotiate a higher salary. Additionally, some colleges may place a greater emphasis on tennis or have larger budgets for tennis programs, which could also impact the salaries of coaches.

Overall, it is difficult to make a general statement about whether tennis coaches generally get paid more than football coaches in Jacksonville or elsewhere, as the salaries of coaches are influenced by a wide range of factors. It is also important to note that salaries can vary widely between individual institutions, even within the same sport, and that negotiations between coaches and their institutions can play a significant role in determining salaries.

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Juan will have more amount money after a year and with a difference of $2048.3.

Compound interest is the interest you earn on interest.

For example if you have $100 and it earns 5% interest each year, you'll have $105 at the end of the first year. At the end of the second year, you'll have $110.25.

The total amount in compound interest is expressed as;

A = P( 1+r/n)^{nt}

where p is the principal, r is the rate and n is the interval at which its compounded.

For Jon

P = $7050, r = 5% = 0.05, n = 1/4 of 12 = 3

A = 7050( 1+0.05/3)^{3×1}

A = 7050( 1.017)³

A = 7050 × 1.052

A = $7416.6

Therefore the total amount for Juan after a year is $7416.6

For Sara,

P = $4867, r = 10% = 0.1 , t = 1.,.n = 365

A = 4867( 1+ 0.1/365) ^{365×1)

A = 4867( 1.00027)^365

A = 4867 × 1.103

A = $5368.3

therefore the total amount for Sara after a year is $5368.3

Therefore Juan will have more money after a year and with a difference of $2048.3

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Answer:

$1.28 each

Step-by-step explanation:

9 / $7.02 = $1.28

Answer:

each flashlight costs 0.78$

Step-by-step explanation:

Since we know that 9 flashlights costs 7.02$ then all we need to do is divide 7.02 by 9 and we get .78 so the cost of one flashlight is 0.78 cents

Draw a model and write to represent 4 times as many as 3 is 12.

The required equation is 4×3=12 and the required model is shown in figure.

The model for the provided question is shown in the figure, where there are 3 rows and 4 blocks in a row we get 12 blocks total.

Consider the provided information.

We need to draw a model and write an equation to represent 4 times as many as 3 is 12.

4 times as many as 3 can be written as:

4×3

This expression is equal to 12. Thus the combined equation is:

4×3=12

Therefore, the equation represents 4×3=12.

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The common difference is d = -4, since

-32 - (-28) = -4

-36 - (-32) = -4

-40 - (-36) = -4

and so on.

In the arithmetic sequence starting with \(a_1=-28\) and common difference -4, the next term is obtained by adding -4 to the previous one:

\(a_1 =-28\)

\(a_2 = a_1 + d = -28 - 4 = -32\)

\(a_3 = a_2 + d = a_1+2d = -28-4\times2 = -36\)

\(a_4 = a_3 + d = a_1+3d = -28-4\times3 = -40\)

and so on, up the n-th term

\(a_n = a_{n-1}+d = a_1+(n-1)d = \boxed{-28-4(n-1)}\)

The group of people who should make up a sample that will best answer her question is the 9th graders in her school. The correct option is C.

Subjects are the different sets of information which is studied.

9th graders in her school will be perfect because the question is specifically asking about the opinions of 9th-grade students in the high school, so it makes sense to sample this group directly.

The other options may provide some insights, but they may not be as accurate or representative of the opinions of the 9th-grade students in the school.

Thus, the correct option is C, 9th graders in her school.

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Answer: passes a horizontal AND vertical line test✅; no repeating x values✅

Step-by-step explanation:

To pass a line test, the function must pass BOTH the horizontal and vertical line test. If it only passes one but not the other, is it NOT a function.

Lastly, it can be a function if it has repeating y values.

Answer:

A

Step-by-step explanation:

The perimeter of the compound is = 51. 99m

The formula for the perimeter of a rectangle is expressed as;

Perimeter = 2(l + w)

Such that;

l is the length

w is the width

Substitute the values, we have;

Perimeter = 2(7 + 10)

Perimeter = 2(17)

Multiply the values

Perimeter =34 m

Perimeter of the semicircle = πr + 2r

Now, substitute the values, we get;

Perimeter =  10. 99 + 7 = 17. 99

Total perimeter = The perimeter of the rectangle + perimeter of the semicircle

Perimeter = 51. 99m

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Answer:

If two chords intersect in a circle, then the product of the segments of one chord equals the product of the segments of the other chord.

6(3x) = 4(4x + 1)

18x = 16x + 4

2x = 4

x = 2

In the word problem,  Bethan has 34 marbles , Jack has 30 marbles and Ruben has 33 marbles.

What is equation?

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.

Here let us take Bethan's marbles as b , Jack's marble as j and Ruben's marbles as r.

Bethan has 4 more marbles than jack then,

=> b = j+4  -------> 1

Ruben has 1 less marble than Bethan then,

=> r = b-1 -------> 2

Put 1 into 2 then,

=> r = j+4-1

=> r = j+3 ----> 3

and they altogether have 97 marbles then

=> b + j + r = 97 ------> 4

Now put 1 and 3 equations into 4 equation then

=> j+4+j+j+3 = 97

=> 3j = 97-7

=> 3j = 90

=> j = 90/3 = 30

Now put j=30 into 1 then, b= j+4=30+4 = 34

Put j=30  into 3 then , r = j+3 = 30+3 =33.

Hence Bethan has 34 marbles , Jack has 30 marbles and Ruben has 33 marbles.

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Answer:

x = 0

Step-by-step explanation:

The distributive property of multiplication states that a(b - c) = a(b) - a(c). We can apply that to the given equation.

3(2 - x) = 6

3(2) - 3(x) = 6 (Apply distributive property on LHS)

6 - 3x = 6 (Simplify LHS)

6 - 6 - 3x = 6 - 6 (Subtract 6 from both sides)

-3x = 0 (Simplify both sides)

\(\frac{-3x}{-3} =\frac{0}{-3}\) (Divide both sides by -3)

x = 0 (Simplify)

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Answer:

B

Step-by-step explanation:

Standard deviation is the average distance away from the mean, thus B is correct

The car is at 60ft from you 5 seconds after it starts moving and 7.5 seconds after it starts moving.

The 48*t part means the number of feet that the car moves in t seconds

We know that the absolute value equation that models the distance is:

d(t) = |300 - 48*t|

Then what we need to solve is d(t) = 60, this is:

d(t) = 60 = |300 - 48*t|

That absolute value equation can be represented in two forms:

300 - 48*t = 60

300 - 48*t = -60

Solving these two we get the two times at which the car is at 60ft from you.

-48*t = 60 - 300

t = (60 - 300)/(-48)  = 5

t = (-60 - 300)/(-48) = 7.5

So the car is at 60ft from you 5 seconds after it starts moving and 7.5 seconds after it starts moving.

The 48*t part means the number of feet that the car moves in t seconds.

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