As treasurer of her school's 4H club, Carol wants to buy gifts for all

11 members. She can buy t-shirts for $5 and sweatshirts for $12.

The club has $118 to spend and Carol wants to spend all of the

money. How many of each type of gift should she buy?

Answers

Answer 1

Using algebraic expressions and equations, Carol should buy 2 t-shirts and 9 sweatshirts.

We can set up an algebraic expressions and equations to determine how many of each type of gift should Carol buy.

An algebraic expression is a number, variable, or the combination of both and operational symbols. On the other hand, an equation is the equality of two expressions separated by "=".

1. Write an equation for the total number of members.

x + y = 11   (equation 1)

where x is the number of members who will get t-shirt

y is the number of members who will get sweatshirt

2. If each t-shirt costs $5 and each sweatshirt costs $12, write an equation for the total amount spent buying the gift.

$5(x) + $12(y) = $118     (equation 2)

where x is the number of members who will get t-shirt

y is the number of members who will get sweatshirt

3. Rewrite equation 1 as an equation of y in terms of x.

x + y = 11   (equation 1)

y = 11 - x

4 . Plug in the expression for y in equation 2 and solve for x.

$5(x) + $12(y) = $118     (equation 2)

5x + 12(11 - x) = 118

5x + 132 - 12x = 118

-7x = -14

x = 2

5. Substitute the value of x in either equation 1 or 2 and solve for x.

x + y = 11   (equation 1)

2 + y = 11

y = 11 - 2

y = 9

Hence, Carol should buy 2 t-shirts and 9 sweatshirts.

Checking,

2 + 9 = 11

Each member will receive a gift.

2($5) + 9($12) =$118

Carol will be spending $118 for the gifts.

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Related Questions

MP Reason Inductively A student said you
can add the same number to both terms of
a ratio to find an equivalent ratio. Is the
student correct? Explain why or why not.

Answers

The student said you.can add the same number to both terms of a ratio to find an equivalent ratio. This is wrong.

How to explain the ratio?

It should be noted that equivalent ratios are the ratios that are the same.

In this case, the student said you.can add the same number to both terms of a ratio to find an equivalent ratio. It should be noted that this is incorrect.

The proper thing is to multiply.

For example, 3/4 will be 3 × 2 / 4 × 2 = 6/8. This is the equivalent fraction.

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Answer:

yeah

Step-by-step explanation:

yup

This spinner has 6 equal sections. What are the odds in simplest form against spinning blue or yellow?
(A) 1:2
(B) 2:3
(C) 3:2
(D) 2:3

Answers

Answer:

B)2:3

Step-by-step explanation:

the spinner has all the rainbow colors and thus two colors(blue and yellow) are 2 out of 6 possibilities. the odds against these is 4 out of six (2:3)

(6/7x-2/3)+3/5+(5/8x-6/7) with full steps

Answers

Answer:

Step-by-step explanation:

See the file below. You can see the step-by-step answer and it will improve your score and it will understand how to solve this problem

Evaluate the function.
f(x) = -4x² + 7x
Find f(5)

Answers

Answer:

-65

Step-by-step explanation:

Given ~

[tex] \tt \: f(x) = - 4 {x}^{2} + 7x[/tex]

[tex] \: [/tex]

put x=5 in given function ~

[tex] \: [/tex]

[tex] \tt \: f(5) = - 4(5) ^{2} + 7(5)[/tex]

[tex] \: [/tex]

[tex] \tt \: f(5) = - 4(25) + 7(5)[/tex]

[tex] \: [/tex]

[tex] \tt \: f(5) = -100 + 35 [/tex]

[tex] \: [/tex]

[tex] \underline{\boxed{\red{ \tt f(5) = - 65}}}{\green✓}[/tex]

[tex] \: [/tex]

hope helps ~

1. Use the diagram to the right to name the following
a Four collinear points.
b) A line that contains point M.
c) A line that contains points H and K.
d) Another name for line q.
e) The intersection of lines p and
H I, N, K
MO
NO
J,I, L, K
M OM
M, O, H, N
line
une
KL

Answers

a. H,I,N,K b. Line MO c. Line r d. Line KL
e. point n

Each 3 sisters intends to pay an equal share of the cost of a christmas gift for their mother. the total cost of the gift including tax is $25.50 how much should each sister pay?

Answers

Answer:

$8.50

Step-by-step explanation:

This is a division problem.

You need to divide $25.50 by 3.

25.5/3 = 8.5

Answer: Each sister pays $8.50.

Answer:

$8.50

Step-by-step explanation:

Since the gift is $25.50, including tax, and there are three sisters, divide the cost of the gift ($25.50) by the number of sisters (3) to find how much each one of them has to pay.

25.50 ÷ 3

= $8.50

Each sister should pay $8.50.

Have a lovely rest of your day! :)

Factorise 6-x^2
will award brainliest to correct answer.

Answers

Answer:

the question should have something in between 6 and x

What number will make this expression a perfect square trinomial? show your work. x² 8x __

Answers

The number must be added in the expression, x² - 8x, to make a perfect square trinomial is 16.

What is perfect square trinomial?

Perfect square trinomials are algebraic representations that have three terms and are formed by multiplying a binomial by another binomial. A perfect square is a number formed by multiplying another number by itself.

The form is ax² + bx + c.

Where, a, b, and c are real numbers & a ≠ 0.

Now, as per the question; the expression is given as;

x² - 8x

The perfect square trinomial written in standard form as;

(x - a) = x²  - 2ax + a²

In the given equation, enter c as the value to be added.

x² - 8x + c

By comparing it to the standard form

-8x = - 2ax ----->(1)

c = a2----->(2)

When we solve these equations for a and c, we get

-8x = - 2ax

a = -8/-2

a = 4

c = (4)² = 16

Thus,

(x - 4)² = x² - 8x + 16

As a result, the value that must be added is 16.

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The correct question is -

What number must be added in the expression, x² - 8x, to make a perfect square trinomial?


Suppose a population consists of 850,000 people. Which of the following
numbers of members of the population being surveyed could result in a
parameter but not a sample statistic?
A. 8500
B. Neither 8500 nor 850,000
C. Both 8500 and 850,000
D. 850,000

Answers

Answer:

what give a pasia what do in

Answer:

A. 8500

Step-by-step explanation:

All the other asnwers are correct!

pls help gsoehehsjbsgshsjbsfeoanevshksnevehwknsbdgsknwbsgdindvegshsn

Answers

Answer:

a)  5.9

b)  4.2

Step-by-step explanation:

Plot the data points on the number line (see attached).

Part (a)

[tex]\begin{aligned}\textsf{Distance between Ben and Kloee} & = \sf \left| Ben - Kloee \right|\\& = \sf \left|-2.65-3\frac{1}{4}\right|\\& = \sf \left|-2.65-3.25\right|\\& = \sf \left|-5.9\right|\\& = \sf 5.9\end{aligned}[/tex]

Part (b)

[tex]\begin{aligned}\textsf{Distance between Middle school and Football field} & = \sf \left| Middle\:school-Football\:field\right|\\& = \sf \left| 1.5-5.7\right|\\& = \sf \left| -4.2 \right|\\& = \sf 4.2\end{aligned}[/tex]

Reasoning true or false: if an augmented square matrix in row-echelon form has a row of zeros as its last row, then the corresponding system of equations has no solution. explain your reasoning.

Answers

False, if an augmented square matrix in row-echelon form has a row of zeros as its last row, then the corresponding system of equations has no solution.

A square matrix with a row of zeroes means that one variable can be written as a linear combination of the other variables.

What does the term "echelon form" mean?

If a matrix in linear algebra has the shape that comes from a Gaussian elimination, it is said to be in echelon form. When a matrix is in row echelon form, Gaussian elimination has been applied to the rows, and when it is in column echelon form, Gaussian elimination has been applied to the columns.

What purpose does echelon matrix serve?

By reducing a complex matrix to a simple matrix, the Echelon Form of a matrix can be utilized to solve a linear equation. If a matrix meets certain criteria, which we'll go over in this post, it is said to be in an echelon form.

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Rodolfo le da una vuelta a la manzana en 4 minutos; Ricardo, en 5 minutos y Rena to, en 6 minutos. ¿En cuánto tiempo existirán si empiezan a hacer el recorrido desde el mismo punto?

Answers

Rodolfo, Rena y Ricardo se encuentran después de 6 minutos en la salida si todos comienzan su viaje desde el mismo punto.

Rodolfo tarda unos 4 minutos en dar la vuelta a la manzana.

Ricardo tarda 5 minutos en dar la vuelta a la manzana.

Rena tarda 6 minutos en dar la vuelta a la manzana.

Digamos que los tres comienzan el viaje desde el mismo punto A.

Rena tarda 6 minutos, Ricardo tarda un minuto menos que Rena y Rodolfo tarda 2 minutos menos que Rena.

Por lo tanto,

Rena es la que más tarda en dar la vuelta a la manzana y será la última en salir.

Por lo tanto, Rodolfo, Ricardo y Rena se encontrarán después de 6 minutos en la salida.

Todas se reúnen después de 6 minutos en la salida.

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Can someone help me with this problem? Thank you!

Answers

Hi
Check out the attached photo

machine a, working alone at its constant rate, produces x pounds of peanut butter in 12 minutes. machine b, working alone at its constant rate, produces x pounds of peanut butter in 18 minutes. how many minutes will it take machines a and b, working simultaneously at their respective constant rates, to produce x pounds of peanut butter?

Answers

It will take 7.2 minutes for machines a and b, working simultaneously at their respective constant rates, to produce x pounds of peanut butter.

Rule #1: If a person can finish an entire job in k hours, then the person can complete 1/k of the job in one hour.

For example, if it takes Sue 5 hours to accomplish a task, she can complete 1/5 of the task in one hour. In other words, her hourly rate is one-fifth of the job's.

Rule #2: If a person finishes a/b of a job in one hour, it will take b/a hours to finish the entire job.

For example, if Sam can finish 1/8 of the job in one hour, it will take him 8/1 hours to finish the job.Similarly, if Joe can finish 2/3 of the job in one hour, it will take him 3/2 hours to finish the job.

Machine A finishes the job in 12 minutes.

Using Rule #1, machine A wraps up one-twelfth of the job in 1 minute.

Machine B finishes the job in 18 minutes.

So, according to Rule #1, machine B finishes 1/18 of the job in 1 minute.

When their efforts are combined, they can fulfill (1/12 + 1/18) of the job in 1 minute.

1/12 + 1/18 = 3/36 + 2/26 = 5/36So, when the machines work together, they can complete 5/36 of the job in 1 minute.

Using Rule #2, the time required to complete the entire job = 36/5 minutes.

Therefore, 36/5 minutes or 7.2 minutes is the correct answer.

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Rewrite the equation below so that it does not have fractions.
2/3x+4=2/5
do not use decimals in your answer.

Answers

The rewritten form of the equation as given in the task content such that it has no fraction is; 10x + 60 = 6.

In order words, when the equation " 2/3x+4=2/5" is rewritten such that it does not have fractions, it is rewritten as 10x + 60 = 6.

What is the rewritten form of the equation such that it has no fractions?

It follows from the task content that the equation given be rewritten such that it has no fraction.

Given:

(2/3)x + 4 = 2/5

Hence, we multiply all terms in the equation by the lowest common multiple of 3 and 5.

Multiply both sides by 15 so that we have;

10x + 60 = 6.

Ultimately, the rewritten form is as indicated above.

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The stadium is to be renovated with a new seating capacity of 20790 seats.after the renovation what will be the percentage increase in the number of seats

Answers

Although part of your question is missing, you might be referring to this full question: The stadium has 15400 seats and it is to be renovated with a new seating capacity of 20790 seats. After renovation what will be the percentage increase in the number of seats?

The initial capacity of the stadium  = 15400 seats

Planned new capacity = 20790 seats

Increment in the number of seats = 20790 - 15400 = 5390 seats

Percentage increase in the number of seats = (Increment in seats/Initial capacity of the stadium)*100

Therefore,

(5390/15400)*100 = 0.35*100 = 35%

So the percentage increase in the number of seats after renovation will be 35%

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distance between points -2,2 and 6,-4

Answers

Between the locations S(4,-3) and T(-2,2), there are 7.81 units between them.

The length of the line segment connecting two locations serves as a measure of the distance between them. Most importantly, the distance between two points is always positive and segments with the same length are known as congruent segments.

P(x1, y1) and Q(x2, y2) are two points, and the formula for their distance is provided by: d (P, Q) = (x2 - x1)2 + (y2 - y1) 2.

The points S(4,-3) and T are given.

Therefore, the distance (d) between S(4,-3) and T(-2,2) is as follows:

⇒ d (S, T) = √

² + (2 - (-3)) ².

⇒ d (S, T) = √ (-6)² + (5) ².

⇒ d (S, T) = √ 36+25

⇒ d (S, T) = √61

D (S, T) equals 7.81 units

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A geometric sequence has these properties.


What is the 7th term of this sequence?

Answers

f(7)=1/16 hope this helps!

It can reasonably be inferred from the passage that the main reason that the narrator considers great expectations to be the best gift he ever received is because?

Answers

Infer means to guess or reach a conclusion, especially based on an indirect hint.

What exactly does inferred mean?

The passage suggests that the main reason the narrator considers Great Expectations to be the best gift he ever received is that reading the book convinced him that he wanted to be a writer.

Infer means to draw a judgement based on evidence; if there is little proof, the term is close to conjecture. To come to a decision or conclusion based on knowledge or an assumption; to arrive at a conclusion through reasoning. To infer is to draw a conclusion based on facts or presumptions. Assuming that a child stole the dish of cookies because he was the only one in the room when they vanished is an example of inferring.

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I don’t know what that symbol is used for

Answers

Answer:

Perpendicular lines.

It’s that one that’s right under it perpendicular lines I have gotten it ! Right

Ms. Jordan bought a box of 32 granola bars. Every day each of her three children ate one granola bar for lunch. Now there are only 11 bars left. Which equation can be used to find the number of days, n, that the children ate the bars for lunch? 32 =-11 32 = 3n - 11 ○ 32 = 3 +11 32 = 3n+ 11​

Answers

The equation that can be used to find the number of days is 32 - 3n = 11

How to determine the equation that can be used to find the number of days?

The given parameters are

Initial amount = 32

Rate = 3 i.e. 3 children

Amount left = 11

Let the number of days be n

So, we have:

Initial amount - number of days * rate = amount left

This gives

32 - 3n = 11

Hence, the equation that can be used to find the number of days is 32 - 3n = 11

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Evaluate the indefinite integral. (use c for the constant of integration.) x5 1 x12 dx

Answers

The evaluation of the given indefinite integral is (1/8)Tan⁻¹(x⁸) + C.

What is indefinite integral?A function that performs the antiderivative of another function is known as an indefinite integral. It can be represented visually as an integral symbol, a function, and finally a dx. A differentiable function F whose derivative is equal to the original function f is referred to as an antiderivative, inverse derivative, primitive function, primitive integral, or indefinite integral of a function f in calculus.

So,

∫[x⁷ / (1 + x¹⁶)]dx = ∫[x⁷ / (1 + (x⁸)²]dxNow, u = x⁸. Then, du = 8x⁷dx. So, x⁷dx = (1/8)du.So, we obtain: (1/8)∫[du / (1 + u²)] = (1/8)Tan⁻¹u + C = (1/8)Tan⁻¹(x⁸) + C

Therefore, the evaluation of the given indefinite integral is (1/8)Tan⁻¹(x⁸)+C.

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The correct question is given below:

Evaluate the indefinite integral. (use c for the constant of integration.)

x⁷/1+x¹⁶ dx

Three friends ate at a restaurant. They ordered nachos for $18.85 and jalapeno poppers. Each friend paid $9.98, not including sales tax or tip, which was one third of the total. Determine the cost of the jalapeno poppers.

$22.18
$6.28
$29.94
$11.09

Answers

If three friends ate at a restaurant. They ordered nachos for $18.85 and jalapeno poppers. Each friend paid $9.98, not including sales tax or tip, which was one third of the total. The cost of the jalapeno poppers is: $11.09.

Cost

First step is to calculate the amount that the three friend paid

Amount=$9.98×3

Amount=$29.94

Now let calculate the cost of the jalapeno poppers

Cost=$29.94-$18.85

Cost=$11.09

Therefore If three friends ate at a restaurant. They ordered nachos for $18.85 and jalapeno poppers. Each friend paid $9.98, not including sales tax or tip, which was one third of the total. The cost of the jalapeno poppers is: $11.09.

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13. jewelry marena is using a certain number of blue beads in a bracelet
design. she will use 7 more red beads than blue beads. write an expression
in simplest form that represents the total number of beads in her bracelet
design.

Answers

The simplest expression that represents the total number of beads in her bracelet design is 2b + 7.

Expression:

An expression is the  sentence with a minimum of two numbers or variables and at least one math operation.

This math operation can be addition, subtraction, multiplication, or division.

The structure of an expression is:

Expression = (Number/variable, Math Operator, Number/variable)

Given,

Jewelry Marena is using a certain number of blue beads in a bracelet

design. she will use 7 more red beads than blue beads.

Here we need to write an expression in simplest form that represents the total number of beads in her bracelet design.

Assign a variable for the unknown value.

Let b be the number of blue beads for the bracelet.

The number of red beads will be represented as b + 7.

Determine the expression for the total number of beads.

Then we can written it as,

=> b + (b +7)

=> 2b + 7.

Therefore, the total number of beads can be written as 2b + 7.

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i’m confused please help

Answers

Option c I hope it’s correct

*Put in number form*

1- Two times the sum of four and eight
2- Seven less than eight
3-The product of x squared and thirteen

Answers

(1) The numerical expression is 24

(2) The numerical expression is 1

(3) The numerical expression is 13x²

A numerical expression includes two words, ‘Numerical’, which suggests related to numbers, and ‘Expression’, that indicates the operations on the numbers. throughout this text NumericalExpressions unit among the foremost basic but most important mathematical ideas.The term numerical refers to 1 factor that involves numbers. we tend to all grasp that expression is nothing but merely a phrase. Thus, numerical expression may well be a phrase involving numbers. In arithmetic, a numerical expression may well be a group of numbers that ar written on by utilizing arithmetic operators addition, subtraction, multiplication, and division

(1) 2 ( 4 + 8) = 2 × 12

                    = 24

(2) 8 - 7 = 1

(3) 13x²

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A rectangular piece of metal is 15 in longer than it is wide. squares with sides 3 in long are cut from the four
corners and the flaps are folded upward to form an open box. if the volume of the box is 1782 in2, what were the
original dimensions of the piece of metal?

Answers

The original dimensions of the piece of metal are 39 inch by 24 inches.

Let the breadth of the rectangular piece be b inches.

Hence, according to the data given in the question,

Length of the rectangular piece will be (b + 15) inches.

After 4 squares of 3 inches each are cut from the corners of the rectangular piece, the length and breadth of the piece becomes:-

Length = b + 15 - 3 - 3 = (b + 9) inches

Breadth = b -3 -3 = (b - 6) inches

The height of the subsequent open box made will be 3 inches.

We have,

Volume of the cuboidal open box = 1782 cubic inches.

Also, we know that,

Volume of cuboid = l*b*h

Where,

l is the length,

b is the breadth, and

h is the height

Hence,

(b+9)(b-6)(3) = 1782 cubic inches

(b+9)(b-6) = 1782/3 = 594

We can write 594 as 33*18

Hence,

(b+9)(b-6) = 33*18

b+9 = 33 or b-6 = 18

b = 33-9 = 18+6 = 24

Hence, the original dimensions are :-

b + 15 = 24 + 15 = 39 inches, and

b = 24 inches

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what are the answers to theseeeeee ahhhhhhh, this is timed, i need answers !

Answers

Answer:

Step-by-step explanation:

False, the left side is not equal to the right side

Answer:

-15+13i

Step-by-step explanation:

Distribute the negative to get (-10+6i)

Combine both parenthesis and the answer is -5-10=-15 and 7i+6i=13i

Final answer is -15+13i

Given j(-8,-5) and l(6,-11) if k(r-4,2s) is the midpoint of jl which correctly gives the values of r and s?

Answers

The values of r and s is -1 and -4 respectively.

Given that:-

coordinates of j are (-8,-5)

coordinates of l are (6,-11)

coordinates of k are (r-4,2s)

Also, k is the mid-point of jl.

We have to find the values of r and s.

We know that, for  (x,y) and (z,w), the mid-point is ((x+z)/2, (y+w)/2).

Here,

(x,y) = (-8.-5)

(z,w) = (6,-11)

(r-4,2s) = ((x+z)/2,(y+w)/2)

Hence,

(r-4,2s) = ((-8+6)/2,(-5-11)/2)

(r-4,2s) = (-1,-8)

Comparing the coordinates, we get:-

r - 4 = -1

r = -1+4 =3

2s = -8

s =-8/2 = -4

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an example of a unti price youd find in germany-

Answers

an example of unit price in germany is the electricity
Other Questions
A reasonable value to assume for the efficiency of a common solar cell that is used in typical pv installations on homes and businesses is:_______ Thunder from a bolt of lightning travels 1/10 mile in 1/2 second. At this rate, how many miles can it travel in one second? Select the account that would be decreased if the owner of hillary's hair salon decides to withdraw $40 for personal use. multiple choice question. cash revenues expenses owner's withdrawals The physical securities which are the underlying collateral for treasury receipts are? 1. the poem "colonel fazackerley butterworth-toast" is in verse and has? a. haiku b. music c. rhyme How many residues separate amino acids that are stabilized by hydrogen bonds in helices?. When a gardener crosses a plant with red flowers with a plant with yellow flowers, orange-flowered offspring result. what mode of inheritance is exemplified by these flowers? Immediately upon arriving at the scene of an emergency call involving a traumatic injury, you should notify the dispatcher of your arrival and then:_____. A customer has an existing margin account that shows: $16,000 lmv $14,000 debit the customer will receive a call for minimum maintenance margin of? Exercise 1 Underline the adjective clause, and circle the noun or pronoun it modifies.Those who chose the wrong trail walked in circles for hours. For human suffering there is a reason; perhaps the reason has not been found because the right questions have not been asked, or pressed far enough. I do not accept the answer that there is no problem because American women have luxuries that women in other times and lands never dreamed of; part of the strange newness of the problem is that it cannot be understood in terms of the age-old material problems of man: poverty, sickness, hunger, cold. The women who suffer this problem have a hunger that food cannot fill.Based on Friedans word choice, which best describes the tone of the excerpt? Why is it important to be aware of your self-concept and level of self-esteem when communicating with people?. Exercise 2 Write c next to each compound sentence.A plaque inside the statue displays a poem by the poet Emma Lazarus. What caused the loss of Native American land? Tribes chose to move. Europeans introduced new diseases. Europeans established permanent settlements. There were cultural differences. In 8 years Jack will be three times as old as he is now. How old is he now? The client presents with signs and symptoms of anxiety. what conversation initiated by the nurse demonstrates an ineffective therapeutic use of self? A man drove 14 mi directly east from his home, made a left turn at an intersection, and then traveled 9 mi north to his place of work. if a road was made directly from his home to his place of work, what would its distance be to the nearest tenth of a mile? Read the sentence.Mark helps his little brother learn how to ride a bike.What verb tense does the sentence use? A. past B. future C. present D. present progressive A rocket ship has several engines and thrusters.While the Solid Rocket Booster (SRB) and mainengines only work together during the first 2minutes of flight, the main engines operate for atotal of 8.5 minutes after the launch. Once theSRBS are released, the main engines aloneaccelerate the rocket from about 1341 m/s to 7600m/s.What is the height of the rocket when the rocket reachesthe speed of 7600 m/s? Show your work. A client is admitted with the diagnosis of acute pancreatitis. Which clinical manifestations would the nurse assess in the client?