Malik collects rare stamps and has a total of 212 stamps. Solve the system of equations.
He has 34 more domestic stamps than foreign stamps. How many foreign stamps does Malik have?
Let x represent the number of domestic stamps and let y
represent the number of foreign stamps.
foreign stamps
This system of equations models the given information
for both stamp types.
How many domestic stamps does Malik have?
x-y = 34
domestic stamps
x + y = 212

Answers

Answer 1

Using the two given equations:

x - y = 34

x +y = 212

Rewrite the first one in terms of x:

x = 34 + y

Now replace x in the 2nd equation:

34 + y + y = 212

Simplify:

34 +2y = 212

Subtract 34 from both sides:

2y = 178

Divide both sides by 2:

y = 178/2

y = 89

Now replace y in an equation to solve for x:

x + 89 = 212

x = 212-89

x = 123

He has 123 domestic stamps and 89 foreign stamps.

Answer 2

Malik has 123 domestic stamps and 89 foreign stamps

The equations are given as:

[tex]x - y = 34[/tex]

[tex]x + y = 212[/tex]

Make x the subject in [tex]x - y = 34[/tex]

[tex]x =34 + y[/tex]

Substitute 34 + y for x in [tex]x + y = 212[/tex]

[tex]34 + y + y = 212[/tex]

Evaluate like terms

[tex]34 + 2y = 212[/tex]

Subtract 34 from both sides

[tex]2y = 178[/tex]

Divide both sides by 2

[tex]y = 89[/tex]

Substitute 89 for y in [tex]x =34 + y[/tex]

[tex]x = 34 + 89[/tex]

[tex]x = 123[/tex]

Hence, Malik has 123 domestic stamps and 89 foreign stamps

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Related Questions

Mrs. Lyons is playing Jeopardy against Mr.Browen. Mr. Bowen incorrectly answers questions with 40 points five times in a row. What is his score so far?

Answers

Answer:

-40 x 5 = -200. his score is -200

]

I have no clue as to what this is good luck though

6. What word describes the equal
shares of the shape?​

Answers

Answer:

bisection, trisection etc.

Step-by-step explanation:

It depends on how many parts a shape will be divided in. for example if a shape is divided in two equal parts, it will be called as halves or bisection or if a shape is divided in three equal shapes it will be known as trisection and so on.

(8x-11)-(15-x)=1 dont know where to start with it​

Answers

Answer:

x = 3

Step-by-step explanation:

First open the brackets. While opening brackets, you've to be careful about signs. So when you open bracket of (15-x), there's negative sign in front of it, so it makes the signs inside the brackets to change. Then you solve the it.

Answer: x=3

Step-by-step explanation:Step 1: Simplify both sides of the equation.

(8x-11)-(15-x)=1

(8x-11)+-1(15-x)=1 (distribute the negative sign)

8x+-11+-15+x=1

8x+x+(-15+-11)=1 (combine like terms)

9x+-26=1

Step 2: Add 26 to both sides

9x-26+26=1+26

9x=27

Step 3: Divide both sides by 9.

9x/9=27/9

x=3

The sum of three numbers is 95. The first number is 5 more than the third. The second number is 4 times the third. What are the numbers?

Answers

Answer:

20, 60, 15

Step-by-step explanation:

Let the third number be n, then

The first number is n + 5 and the second number is 4n

Sum the 3 numbers and equate to 95, that is

n + 5 + 4n + n = 95 ← collect like terms on left side

6n + 5 = 95 ( subtract 5 from both sides )

6n = 90 ( divide both sides by 6 )

n = 15

Thus

The first number is 15 + 5 = 20

The second number is 4 × 15 = 60

The third number is 15

Select all of the angles that have a positive measure

Answers

Answer: angle 2, 5, and 6

Step-by-step explanation:

edge 2023

Final answer:

In mathematics, angles have a positive measure when they are measured counterclockwise from the reference line or origin.

Explanation:

In mathematics, angles can be measured in positive or negative degrees or radians. An angle is considered to have a positive measure if it is measured in the counterclockwise direction. Therefore, any angle that is measured counterclockwise from the reference line or origin is considered to have a positive measure.

For example, if we have a line segment and we measure an angle of 60 degrees counterclockwise from the positive x-axis, the angle has a positive measure. Similarly, if we measure an angle of 45 degrees counterclockwise from the positive y-axis, the angle also has a positive measure.

Which describes Myra’s distance as time increases

Answers

Answer:

mathw ay .com

Step-by-step explanation:

Question:

The table shows the total distance that Myra runs over different time periods.

Which describes Myra’s distance as time increases?

Answer:

A.) Increasing.


How many numbers between 650 and 780 leave the remainders 4 and 6 when divided by 7 and 11, respectively?

Answers

There are 120 numbers between 650 and 780 that leave remainders of 4 when divided by 7 and remainders of 6 when divided by 11.

To find the numbers between 650 and 780 that leave remainders of 4 when divided by 7 and remainders of 6 when divided by 11, we can analyze the problem systematically.

For a number to leave a remainder of 4 when divided by 7, it must be of the form [tex]\(7k + 4\)[/tex].

Similarly, for a number to leave a remainder of 6 when divided by 11, it must be of the form [tex]\(11m + 6\).[/tex]

We need to find the intersection of these two sets of numbers between 650 and 780.

Let's start by finding the smallest number of the form \(7k + 4\) greater than or equal to 650:

[tex]\[7k + 4 \geq 650\][/tex]

[tex]\[7k \geq 646\][/tex]

[tex]\[k \geq \frac{646}{7} \approx 92.2857\][/tex]

Since [tex]\(k\)[/tex] must be an integer, the smallest integer greater than or equal to [tex]\(92.2857\)[/tex] is 93.

So, the smallest number of the form [tex]\(7k + 4\)[/tex] greater than or equal to 650 is [tex]\(7 \times 93 + 4 = 655\).[/tex]

Now, let's find the largest number of the form [tex]\(7k + 4\)[/tex] less than or equal to 780:

[tex]\[7k + 4 \leq 780\][/tex]

[tex]\[7k \leq 776\][/tex]

[tex]\[k \leq \frac{776}{7} \approx 110.857\][/tex]

Again, since [tex]\(k\)[/tex] must be an integer, the largest integer less than or equal to [tex]\(110.857\)[/tex] is 110.

So, the largest number of the form [tex]\(7k + 4\)[/tex] less than or equal to 780 is [tex]\(7 \times 110 + 4 = 774\).[/tex]

Next, let's find the smallest number of the form [tex]\(11m + 6\)[/tex] greater than or equal to 650:

[tex]\[11m + 6 \geq 650\][/tex]

[tex]\[11m \geq 644\][/tex]

[tex]\[m \geq \frac{644}{11} \approx 58.5455\][/tex]

Since [tex]\(m\)[/tex] must be an integer, the smallest integer greater than or equal to [tex]\(58.5455\)[/tex] is 59.

So, the smallest number of the form [tex]\(11m + 6\)[/tex] greater than or equal to 650 is[tex]\(11 \times 59 + 6 = 655\).[/tex]

Finally, let's find the largest number of the form[tex]\(11m + 6\)[/tex]less than or equal to 780:

[tex]\[11m + 6 \leq 780\][/tex]

[tex]\[11m \leq 774\][/tex]

[tex]\[m \leq \frac{774}{11} \approx 70.3636\][/tex]

Since [tex]\(m\)[/tex] must be an integer, the largest integer less than or equal to [tex]\(70.3636\)[/tex] is 70.

So, the largest number of the form [tex]\(11m + 6\)[/tex] less than or equal to 780 is [tex]\(11 \times 70 + 6 = 776\).[/tex]

Now, we need to find the intersection of the sets of numbers [tex]\([655, 774]\) and \([655, 776]\).[/tex]

This can be done by finding the range of overlap between these two sets.

The range of overlap is [tex]\([655, 774]\),[/tex] which contains 774 - 655 + 1 = 120 numbers.

So, there are 120 numbers between 650 and 780 that leave remainders of 4 when divided by 7 and remainders of 6 when divided by 11.

Based on the graph, what is the initial value of the linear relationship?

(A) −2
(B) 0
(C) 2/3
(D) 3

Answers

Check the picture below.

1 2 3 4 5 6 7 8 9 10 11

Answers

1) PEMDAS: 12 * 5 + 6 / 6

12 * 5 = 60

60 + 6 / 6

6 / 6 = 1

60 + 1 = 61

61 is the final answer.

2) Absolute Value: |-2 - 4| = -6 HOWEVER, because it is in the absolute value signs, it becomes 6. 6 - 4 = 2

2 in the final answer.

3) 4 + 4 + 2 = 10 Because they are all negatives, we add back the negative sign.

-10 is the final answer.

4) 15x + 1 = 26

Subtract 1 from each side.

15x = 25.

25/15 = 1.6...

x = 1.6...

5) 2x -4 + 3x = - 1

2x + 3x = 5x

5x - 4 = -1

Add 4 to each side

5x = 3

3/5 = 0.6

x = 0.6

6) x-2/3 = x+4/5

I don't remember the steps, but the answer is x = 11

7) Finding the relationship between x:4 and 5:20

20/5 = 4

x = 1

The smaller rectangle has a reduction of 5 times.

8) Mean is found by adding all the number, then dividing by the amount added.

18 + 27 + 15 + 24 + 18 + 26 + 19 + 24 = 171

171/8 = 21.375

Mean = 21.375

Median is found by putting the numbers in increasing order, then finding the middle number, 15, 18, 18, 19, 24, 24, 26, 27. 24 + 19 = 43. 43/2 = 21.5

Median = 21.5

9) Circumference of a circle = 2(pi)(r)

Circumference = 30πin (thats the pi symbol)

If you use the typical pi fill-in (3.14) the its 2 * 3.14 * r then it would = 94.5in.

10) Combing Like Terms: 5x + 7y - 8y^2 + 2x - y

5x + 2x = 7x

7x + 7y - 8y^2 - y

-y + 7y = 6y

Answer: -8y^2 + 7x + 6y

which equation could be used to create the graph?
Answers
A y=x -2
B y=x -4
C y= x/3
D y=3x

Answers

Answer:

C

Step-by-step explanation:

The equation of a line passing through the origin is

y = mx ( m is the slope )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (9, 3) ← 2 points on the line

m = [tex]\frac{3-0}{9-0}[/tex] = [tex]\frac{3}{9}[/tex] = [tex]\frac{1}{3}[/tex], thus

y = [tex]\frac{1}{3}[/tex] x

Or

y = [tex]\frac{x}{3}[/tex] → C

Answer:

C

Step-by-step explanation:

The equation of a line passing through the origin is

y = mx ( m is the slope )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (9, 3) ← 2 points on the line

m = \frac{3-0}{9-0} = \frac{3}{9} = \frac{1}{3}, thus

y = \frac{1}{3} x

Or

y = \frac{x}{3} → C

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HELP needed!!
Completely the steps to find the value of x in the angle?​

Answers

8x + 6 = m<4

m<4 = 180 - 118 = 62

8x + 6 = 62

8x = 56

x = 7

What is 5/1 • 7 3/6 and 3 1/3 • 2 2/4 simplify?

Answers

Answer:

The first one is 35 5/6. The second is 8 1/3

Step-by-step explanation:

5/1 * 7 3/6

= 5/1 * 45/6

=215/6

= 35 5/6

3 1/3 * 2 2/4

= 10/3 * 10/4

= 100/12

= 8 1/3

A path starts and ends at the same vertex.
False​

Answers

No it does not. False

Ripley told his mom that multiplying whole numbers by multiples of 10 was easy because you just count zeros in the factors and put them in the product. He used these two examples to explain his strategy.

7,000 × 600 = 4,200,000
(3 zeros) (2 zeros) (5 zeros)

800 × 700 = 560,000
(2 zeros) (2 zeros) (4 zeros)

Ripley’s mom said his strategy will not always work. Why not? Give an example.

Answers

Answer:

She is right, it won´t always work.

Step-by-step explanation:

Hi, in the examples this tactic works because the first numbers, when multiplied, don´t equal 10 (7x6=42 and 8x7=56). If you multiply both numbers and give you 10, you will have to add another zero to the final number and the trick would crash.

Example:

    200    x       500      =    100,000

(2 Zeros)      (2 zeros)        (5 zeros)

Best of luck.

Find the measures of supplementary angles 1 and 2, if: angle on is 40º less than angle 2

Answers

Answer:

140°

Step-by-step explanation:

180° is a full degree, so if one is 40° less than two 180°-40° (don't quote me on this bc I'm not that good at math oops)


The volume of a sphere is 3,052.08 units cubed. What is its diameter?
18 units
20 units
31 units
47 units

Answers

3,052.08 = (4/3) pi (r)^3

cube root ( [ 3,052.08 / pi ] * (3/4) ) = r = 9

So.....diameter = 2r = 18 units

On a coordinate plane, solid circles appear at the following points: (negative 2, negative 5), (negative 1, 3), (1, negative 2), (3, 0), (4, negative 2), (4, 4). Which explains why the graph is not a function? It is not a function because the points are not connected to each other. It is not a function because the points are not related by a single equation. It is not a function because there are two different x-values for a single y-value. It is not a function because there are two different y-values for a single x-value.

Answers

Answer:

Last option: It is not a function because there are two different y-values for a single x-value.

Step-by-step explanation:

It is necessary to remember that, by definition, a relation is a function if each input value (x-value)  has one and only one output value (x-value) .

In this case, the following points:

[tex](-2, -5), (- 1, 3), (1, -2), (3, 0), (4,- 2), (4, 4)[/tex]

You can observe that the input value 4 ([tex]x=4[/tex]) has two ouput values. These are:

[tex]y=-2\\\\ y=4[/tex]

Therefore, since there are two different y-values for a single x-value, you can conclude that the given graph is not a function.

Answer:

t represents time, which is the input of the function, so we know that 10 is the time in minutes. h(t) represents the altitude, which is the output of the function after time, t. So, we need to substitute 10 into 210 – 15t in place of t. Simplifying 210 – 15(10), we get  that 60 is the altitude in feet. So, after 10 minutes, the hot air balloon is at 60 feet.

Step-by-step explanation:

(This is the answer form the assignment if it helps)

The discount on a new copier was $220. This was a discount of 14%

Answers

The original price would be $189.20 because the decimal is 0.14 is ( you move the decimal point to the right of where the number starts) then multiply that decimal to 220 and it would be 30.8. Subtract 30.8 and you get $189.20

is
[tex] \frac{3}{6} [/tex]
a rational number?​

Answers

Hey!

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

Answer: Yes 3/6 is rational!

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

Why? Well, because 3 and 6 are integers that don't repeat. 3/6 simplifies to 1/2 or 0.5 which doesn't repeat so it's rational.

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

Hope This Helped! Good Luck!


Which numbers are 3 units from −6 on this number line?

Drag and drop all of the numbers that are 3 units from −6 to their correct position on the number line.











Answers

-9 and -3 are both 3 units from -6 on the number line.

Answer:  -9 and -3 are numbers which are 3 units from -6 on the number line.

Step-by-step explanation:

Since we have given that

3 units from -6 on the number line.

As we know that

there is right hand side and left hand side on the number line.

Left hand side is for negative numbers, and right hand side is for positive numbers.

So, the number which is 3 units from -6 on the left is given  by

[tex]-6-3=-9\ units[/tex]

The number which is 3 units from -6 on the right is given by

[tex]-6+3=-3\ units[/tex]

Hence, -9 and -3 are numbers which are 3 units from -6 on the number line.

❗❗❗❗❗❗❗HELP❗❗❗❗❗❗❗


Select the table of values where the quadratic function changes direction at a different value of x than the others.


Imagine that this is a graph.


A.

x -3 -2 -1 0 1 2 3

y 2 3 2 -1 -6 -13 -22


B.

x -3 -2 -1 0 1 2 3

y 2 3 2 -1 -6 -13 -22


C.

x -3 -2 -1 0 1 2 3

y 4 3 4 7 12 19 28


D.

x -3 -2 -1 0 1 2 3

y 1 -1 1 7 17 31 49

Answers

i think the answer is B. x-3 -2 -1 0 1 2 3
y 2 3 2 -1 -6 -13 -22

Answer:

x -3 -2 -1 0 1 2 3

y 28 19 12 7 4 3 4

Step-by-step explanation:

The point where the quadratic function changes direction (which is the maximum or the minimum of the function) is called the turning point. In options A, B and C the turning point is at (-2, 3), and in option D the turning point is at (-2, -1).

Given that all of them correspond to the same x-value and options A and B are the same, I assume one of them was mistyped. Given the following option:

x -3 -2 -1 0 1 2 3

y 28 19 12 7 4 3 4

we see that the turning point is at (2, 3) which represents a different x-value.

What is the solution to 4x−1=7 ? Plot the solution on the number line.

Answers

Answer: x is 2

Step-by-step explanation:

Add the 1 to 7 and get 8 then 4x=8 then divide 4 into 8 and x=2 to plot it on the line just go to 2 I’m guessing

Answer:

x=2

Step-by-step explanation:

Select the action you would use to solve x-3= 12. Then select the property that justifies that action.
A. Action: Add 3 to both sides.
B. Action: Multiply both sides by 3,
C. Action: Subtract 3 from both sides.
D. Property: Addition property of equality
E. Property: Multiplication property of equality
F. Property: Subtraction property of equality

Answers

Answer:

a

Step-by-step explanation:

you would add three to both sides because you are subtracting on the left side, so you would use inverse operations

Answer:

A &d

Step-by-step explanation:

A pex

Point A is located at (-5, 2) and is reflected in the y-axis. What are the coordinates of point A'?
A.(-5, -2)
B.(5, 2)
C.(5, -2)

Answers

When a point is reflected across the Y axis, the Y coordinate remains the same and the X coordinate becomes the opposite of the original value.

Points are written as ( X,Y)

The original point is (-5,2)

The opposite x value would be 5 and the Y value stays the same.

The reflected point would be (5,2)

The answer is B.

Final answer:

A.(-5, -2). The reflected point A' after reflecting point A with coordinates (-5, 2) in the y-axis will have coordinates (5, 2).

Explanation:

When point A, which is located at (-5, 2), is reflected in the y-axis, you have to switch the sign of the x-coordinate while keeping the y-coordinate the same. This is because reflection across the y-axis means that the point's position will be mirrored over the y-axis, resulting in the same vertical (y) positioning but an opposite horizontal (x) positioning. Therefore, the reflected point A', will be at (5, 2), which corresponds to answer B.

Evaluate the expression when a=6 and y=7-a+5y

Answers

Answer:

29

Step-by-step explanation:

Substitute a = 6 and y = 7 into the expression

- a + 5y = - 6 + (5 × 7) = - 6 + 35 = 29

1-sin60÷cos60=1-Tan30÷1+Tan30

Answers

Step-by-step explanation:

LHS=(1-sin60)/cos60

=(1-√3÷2)/1÷2

=2(1-√3÷2)

=2-√3

RHS=(1-tan30)/(1+tan30)

={1-(1÷√3)}/{1+(1÷√3)}

={(√3-1)/√3}/{(√3+1)/√3}

=(√3-1)/(√3+1)

={(√3-1)(√3-1)}/{(√3+1)(√3-1)}

=(3-√3-√3+1)/(3-1)

=(4-2√3)/2

=2-√3

Therefore LHS=RHS

Evaluate the expression below

4 - 2 2x2 + 3
Is my answer right

Answers

Answer:

3

Step-by-step explanation:

first mulitply 2×2 then add 3 it equals in total 7. then subtract 7-4 and your final answer is 3.

Shaunee won 79 tickets at Chuck e' Cheese's. She
kept 25 of them, and split the rest evenly between 3
friends. How many did each friend get?

Answers

Answer:

Step-by-step explanation:

From the problem statement, we can set up the following equation:

[tex]3N + S = 79[/tex]

where [tex]N[/tex] is the number of tickets each friend got, and [tex]S[/tex] is the number of tickets that Shaunee got. We know that Shaunee got 25, so we know [tex]S = 25[/tex] and can plug that into the equation:

[tex]3N + 25 = 79[/tex]

Subtracting 25 from each side gives us the following:

[tex]3N = 54[/tex]

Dividing both sides by 3 gives us the answer:

[tex]N = 18[/tex]

79 tickets minus 25 is 54

Shawnee has 54 tickets to split between her friends.

54 divided by 3 friends equals 18 tickets.

You can check the answer by multiplying: 18x3 equals 54.

Hence, her friends each got 18 tickets...

which of these sets of angle measures could be three angles in a triangle
A) 40° , 50°, 60°
B) 50°, 60°,70°
C) 60°, 70°, 80°
D) 70°, 80°,90°​

Answers

It’s going to be B. 50+60+70=180 which is how many degrees are in a triangle.

The measure of angles in a triangle are 50°, 60° and 70°.

Option B is true.

What is Triangle?

A triangle is a three sided polygon, which has three vertices and with three angles.

Since, The sum of all three angle in a triangle will be 180 degree.

Now, For option A;

The angles are 40° , 50°, 60°.

Sum of angles = 40° + 50° + 60°

                      = 150°

Hence, These set are not possible.

For option B;

The angles are 50° , 60°, 70°.

Sum of angles = 50° + 60° + 70°

                      = 180°

Hence, These set are possible.

So, The measure of angles in a triangle are 50°, 60° and 70°.

Option B is true.

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How can u solve for x when there is a y in the like y=4x+8x

Answers

Answer:

x = [tex]\frac{1}{12}[/tex] y

Step-by-step explanation:

Given

y = 4x + 8x, that is

y = 12x ( divide both sides by 12 )

[tex]\frac{y}{12}[/tex] = x, or

x = [tex]\frac{1}{12}[/tex] y

Other Questions
A student walks (2.90.1)m, stops and then walks another (3.9 0.2)m in the same directionWith the given uncertainties, what is the smallest distance the student could possibly be from the starting point? Explain why two equipotential lines cannot cross each other. Write an equation of the line that is parallel to the line whose equation is 3y+7=2x and passes through point (2,6). Recognize Physical and Chemical Properties of Alcohols Question Which of the following statements about the -OH group of alcohols is NOT true? Select the correct answer below: O The hydrogen has a slight positive charge. O The hydrogen is slightly acidic. O The hydrogen cannot participate in hydrogen bonding with other molecules. O none of the above FEEDBACK MORE INSTRUCTION SUBMIT Content attribution Select the correct answer.Which economic system do most countries operate under today?A. free-market economyB. command economyC. mixed-market economyD. traditional economy Why did the Articles of Confederation create only a legislative branch of government? How did the Articles of Confederation deal with fears that some states would dominate others in the national government? Please answer quickly Taste receptors on the tongue are not related to smell receptors of the nose. a. Trueb. False Jamie has a total of 40 coins that are all nickels and dimes. She has 12 more nickels than dimes. How many ofeach type of coin does she have? SOMEONE JUST PLEASE ANSWER THIS CORRECT FOR BRAINLIEST!!!!!!Does Document C corroborate or challenge Document B? Rays Satellite Emporium wishes to determine the optimal order size for its best-selling satellite dish (Model TS111). Ray has estimated the monthly demand for this model to be 230 units. This model costs Ray $396 to purchase from his supplier. His annual cost to carry inventory is 10% and he estimates that orders cost $38 to process. If Ray used an order quantity of 2000 instead of the optimal order quantity, how much money would he be wasting each year? To graph the equation 2x + 5y = 10, Zeplyn draws a line through the points (5, 0) and (0, 2). What is the slope of the line represented by 2x + 5y = 10?negative StartFraction 5 Over 2 EndFractionnegative StartFraction 2 Over 5 EndFractionStartFraction 2 Over 5 EndFractionStartFraction 5 Over 2 EndFraction calculate the perimeter of a rectangle with a length of 17.5 cm and a width of 40 mm in cm Most child care providers will never find themselves caring for a child with asthma.TrueFalse Pennsylvanias high number of Quaker voters _____ the abolition of slavery.Select the best answer from the choices provided.A. slowedB. supportedC. protestedD. opposed A two-resistor voltage divider employing a 2-k? and a 3-k? resistor is connected to a 5-V ground-referenced power supply to provide a 2-V voltage. Sketch the circuit. Assuming exact-valued resistors, what output voltage (measured to ground) and equivalent output resistance result? If the resistors used are not ideal but have a 5% manufacturing tolerance, what are the extreme output voltages and resistances that can result? Which, if any, of the following statements concerning the work done by a conservative force is NOT true? All of these statements are true. It can always be expressed as the difference between the initial and final values of a potential energy function. None of these statements are true. It is independent of the path of the body and depends only on the starting and ending points. When the starting and ending points are the same, the total work is zero. The nurse is explaining to a nursing student that allograft transplant clients need some form of immunosuppressant therapy. Which statement describes the pathophysiological reasoning behind this?1. The treatment is indicated only if signs of transplant rejection are present.2. The treatment is a precaution; rejection in allografts seldom occurs.3. The treatment is designed to target chronic rejection, which does not occur for several weeks.4. Despite accurate tissue matching, allografts contain antigens that trigger the client's immune response. Julian rides his bike uphill for 45 minutes, then turns around and rides back downhill. It takes him 15 minutes to get back to where he started. His uphill speed is 3 miles per hour slower than his downhill speed. Find Julians uphill and downhill speed. In order to caluclate the specific activity of the isolatedfractions, the protein concetration has to be determined. Why isthe protein concetration necessary for accurate comparison of theenzyme activity of the fractions?