Answers
The equation which describes Riya's graph is:
a). C(t) = -3t + 24.
We can easily find out the equation by concentrating on the axes.
For example,
Just look from the graph the value of C when t = 0.
We can conclude that C should be equal to 24 when t is equal to 0.
Now, let us put this value of t ( which is 0) in the equations one by one:
a). C(t) = -3t + 24
=> C(0) = -3 (0) + 24
=> C(0) = 24.
So, equation a). satisfies the given criteria.
Similarly, b) also qualifies but c) and d) are not equal to 24 when t = 0.
So, remove them.
Now, let's look at the value of t when C=0.
We can see that t should be equal to 8.
Let's put this value in equations,
a). 0 = -3t + 24
=> 3t = 24
=> t = 8.
Now, we can see that equation a). satisfies all the given conditions for the graph.
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Related Questions
Which number line and equation show how to find the distance from -2 to 5? O O A. 1-2-(-5) 2 3 12-1-5) sing O c. 1-2-5 D. 2-5
Answers
To find the distance between two numbers on the number line, you have tu use absolute value
So, if I want to know the distance from -2 to 5, all I have to do is to substract 5 from -2 and then apply absolute value, like this:
[tex]\mleft|-2-5\mright|\text{ = }\mleft|-7\mright|\text{ = 7}[/tex]And the number line should look like this:
Find the union, AUB, for of the following pair of sets. Enter "DNE" for the empty set.A = (-∞, - 5], B = [5, ∞)
Answers
Given
Two sets A = (-∞, - 5], B = [5, ∞)
Find
union, AUB
Explanation
Union of two sets A and B is the set of all elements that are present in A or in B
so , here A = (-∞, - 5], B = [5, ∞)
then union of set A and B is given by
[tex]A\cup B=(-\infty,-5]\cup[5,\infty)[/tex]Final Answer
Therefore., the union of A and B is (-∞, - 5] U [5, ∞)
You don't need to explain if you don't want.
Answers
Answer:
1
Step-by-step explanation:
The absolute value of x is the black line, therefor the absolute value of x-1 is the blue line
Hope that helps
5. Identify whether each unit measures length, volume, or weight (or mass).
1.
Mile
Cup.
Pound
Centimeter
2.
3.
4.
5.
Liter
6.
Gram
7.
Pint
8.
Yard
9. Kilogram
10. Teaspoon,
11. Milliliter
Answers
Answer:
See below
Step-by-step explanation:
Length (L), volume (V), weight(W), or mass(M)
Mile L
Cup V
Pound W
Centimeter L
Liter V
Gram M
Pint V
Yard L
Kilogram M
Teaspoon V
Milliliter V
1. Mile
2. Cup
3. Pound
4. Centimeter
5. Liter
6. Gram
7. Pint
8. Yard
9. Kilogram
10. Teaspoon,
11. Milliliter
Solve for x and y in the problem below. Then, find m
Answers
Given the Cyclic Quadrilateral Theorem,
Opposite angles of a Cyclic Quadrilateral are supplementary(that is, they add up to 180°).
Therefore,
[tex]\begin{gathered} 17x+78^o=180^o \\ 17x=180^o-78^o \\ 17x=102^o \\ x=\frac{102^o}{17} \\ x=6^o \end{gathered}[/tex]To obtain y,
[tex]\begin{gathered} 9y+6y=180^o \\ 15y=180^o \\ y=\frac{180^o}{15} \\ y=12^o \end{gathered}[/tex]Thus,
[tex]\begin{gathered} m\angle X=9y \\ =9\times12 \\ =108^o \end{gathered}[/tex][tex]\begin{gathered} m\angle V=6y \\ =6\times12 \\ =72^o \end{gathered}[/tex][tex]\begin{gathered} m\angle W=17x \\ =17\times6 \\ =102^o \end{gathered}[/tex]Therefore, the values are
m
m
m
m(x) = | x + 1 |
Graph
Answers
The value of x = 1/M-1 , x = -1/M+1
What is Graph?
The graph of a function f is the set of ordered pairs where "displaystyle f(x)=y" exists. In the common scenario when x and f(x) are real integers, these pairings represent Cartesian coordinates of points in two-dimensional space and hence constitute a subset of this plane.
M(x) = |x + 1|
|x + 1| = M(x)
x + 1 = M(x)
x + 1 = -M(x)
Adding (-x) both side
x + 1 + (- x) = M(x) + (- x)
x + 1 + (- x) = -M(x) + (- x)
x + 1 - x = M(x) - x
x + 1 - x = -M(x) - x
1 = M(x) - x
1 = -M(x) - x
M(x) - x = 1
-M(x) - x = 1
x(M-1) = 1
x(-M-1) = 1
Dividing both side with (M - 1) and (-M - 1)
x(M-1)/(M - 1) = 1/(M - 1)
x(-M-1)/(-M - 1) = 1 /(-M - 1)
x = 1/(M - 1)
x = 1/(-M - 1)
Hence, x = 1/M-1 , x = -1/M+1
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Given h(t) = –16t2 + 32t + 5, what is the value of h(2)? *Type in your answer. h(2) =
Answers
The value of the function h(2) for h(t) = -16t2 + 32t + 5 is h(2) = 5
How to determine the function value?From the question, the function definition is given as
h(t) = -16t2 + 32t + 5
First, we express the exponent in the function properly
This is represented as
h(t) = -16t² + 32t + 5
The function value to calculate is given as
h(2)
This means that we calculate h(t) when t = 2
So, we have
h(2) = -16(2)² + 32(2) + 5
Evaluate the exponents
h(2) = -16(4) + 32(2) + 5
So, we have
h(2) = 5
Hence, the function value is 5
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Which statement is true about the equations –3x + 4y = 12 and One-fourthx – One-thirdy = 1?
The system of the equations has exactly one solution at (–8, 3).
The system of the equations has exactly one solution at (–4, 3).
The system of the equations has no solution; the two lines are parallel.
The system of the equations has an infinite number of solutions represented by either equation.
Answers
Answer: The answer is c) The system of the equations has no solution; the two lines are parallel.
Step-by-step explanation: edge 2022
Answer: C
Step-by-step explanation:
How to solve? Please help i will give good rating.
Answers
Answer:
6. Draw a vertical line that goes though points (4,7) and (4,9). For a relation to be a function, each input has to have only one output. The input 4 cannot have the output of 7 and 9. This proves that this is not a function
7. The range is 91, 3, 6, 10 and 15)
Step-by-step explanation:
The range is the answer if you put in the x for range that they give you.
For example:
x ( x+ 1)/2 If I put in 1 for x, I will get
1(1+1)/2
2/2
1
When the input is 1, the output is one. You that for each of the domains given and you will find the ranges (outputs) that I have written above.
Tanya is training a turtle for a turtle race. For every 1/2 of an hour that the turtle is crawling, he can travel 1/20 of a mile. At what rate is the turtle crawling in miles per hour
Answers
If Tanya is training a turtle for a turtle race. For every 1/2 of an hour that the turtle is crawling, he can travel 1/20 of a mile. The rate that the turtle is crawling in miles per hour is: 0.2 miles /hour .
Determining the Unit rate per mileGiven data:
1/2 of an hour = 1/20 of a mile
Now let determine the unit rate
Unit rate that the turtle is crawling is: (1/20)/(1/2)
Hence,
Unit rate = (1/20)×(2/1)
Unit rate = 2/20 miles/hour
Unit rate = 0.2 miles /hour
Therefore the rate is 0.2 miles per hour.
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If for every 1/2 of an hour that the turtle is crawling, he can travel 1/20 of a mile. then 0.1mile/ hour is the rate at which turtle travel per hour.
What is Ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
Given that,
A turtle is trained by Tanya,
For every 1/2 of an hour that the turtle is crawling, he can travel 1/20 of a mile.
We need to find at what rate the turtle is travelling per hour.
Let x be the distance travelled by turtle in hour.
1/20/1/2=x/1
Apply cross multiplication
x/2=1/20
x=2/20
x=0.1 miles / hour
Hence 0.1 miles per hour is the turtle travelling per hour.
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same as my last two questions
Answers
The intervals to the given function are as follows:
Domain: (-∞,∞).Range: (-∞,∞).Rel. maximums: (1.366, -0.652).Rel. minimums: (-0.366, -5.848) and (2,-1).End behavior: As x -> -∞, f(x) -> ∞, and as x -> ∞, f(x) -> ∞.Inc. intervals: (-0.366, 1.366) U (2, ∞).Dec. intervals: (-∞, -0.366) U (1.366, 2).Domain and rangeDomain: Set of values of the input of the function, hence the values of x in the graph of the function.Range: Set of values of the output of the function, hence the values of y in the graph of the function.This function is defined(values of x) for all real values and also assumes all real values(values of y), hence both the domain and the range are of the function are given by the interval (-∞,∞).
Increasing and decresingFrom the graph, the function is classified as decreasing or increasing according to the direction of movement in the graph, as follows:
Decreasing: Right and down.Increasing: Right and up.Hence the intervals are given as follows:
Increasing: (-0.366, 1.366) U (2, ∞).Decreasing: (-∞, -0.366) U (1.366, 2).Relative maximum and relative minimumThe relative minimum is when the graph of the function changes from decreasing to increasing, hence it is at these two following points:
(-0.366, -5.848) and (2,-1).
The relative maximum is when the function changes from increasing to decreasing, hence it is at this following point:
(1.366, -0.652).
End behaviorThe end behavior of the function is given by the limits of the function when x go to infinity, looking to the left and to the right of the graph of the function, hence:
Left: Moves up, hence as x -> -∞, f(x) -> ∞.Right: Moves up, hence as x -> ∞, f(x) -> ∞.More can be learned about functions at https://brainly.com/question/28949511
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The two angles pictured below are vertical angles.
Two lines intersect. The vertical angles measure eighty-four degrees and eight times x minus twelve.
What is the value of x?
Answers
The value of x in the vertical angles is 12.
What are vertically opposite angles?When two lines intersect each other, then the opposite angles, formed due to intersection are called vertical angles or vertically opposite angles.
In other words, vertically opposite angles are angles that are opposite one another at a specific vertex and are created by two straight intersecting lines.
Vertically opposite angles are congruent.
Therefore, the vertical angles measures 84 degrees and 8x - 12.
Let's find the value of x using the principle of vertically opposite angles.
Therefore,
84 = 8x - 12
add 12 to both sides of the equation
84 + 12 = 8x - 12 + 12
96 = 8x
divide both sides by 8
x = 96 / 8
x = 12
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it usually takes davin 1 3/4 hours to get to his aunt's house . due to labor day traffic this year it took 3 1/5 hours .how much longer did it take this year
Answers
It took David 1 [tex]\frac{3}{4}[/tex] hours more to reach her aunt's home due to labor day traffic.
What is unitary method?The unitary method is a method in which you find the value of a single unit and then the value of a required number of units.
Given is Davin who needs 1 3/4 hours to get to his aunt's house. However, due to the labor day traffic this year it took him 3 1/5 years.
We have to find the difference between the time span Davin took to reach his aunt's house.
Time taken by Davin without the labor day traffic = T[N] = 1 3/4 = 7/4 hours
Time taken by Davin with the labor day traffic = T[L] = 3 1/5 = 16/5 hours
Difference in time spans = T[D] = T[L] - T[N]
T[D] = 16/5 - 7/4
T[D] = 3.2 - 1.75
T[D] = 1.45 = 1 + 0.45
T[D] = 1 [tex]\frac{3}{4}[/tex] hours
Davin took 1 [tex]\frac{3}{4}[/tex] hours more.
Therefore, it took David 1 [tex]\frac{3}{4}[/tex] hours more to reach her aunt's home due to labor day traffic.
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The manager at the local auto shop has found that the probability that a car brought into the shop requires an oil change is 0.68, the probability that a car brought into the shop requires brake repair is 0.32, and the probability that a car requiresboth anoil change and brake repair is 0.11. For a car brought into the shop, determine the probability that the car will require an oil change or brake repair.The probability that the car requires an oil change or brake repair is
Answers
Remember that
P(A or B)=P(A)+P(B)-P(A and B)
In this problem, we have that
Event A and Event B are not independent
we have
P(A)=0.68
P(B)=0.32
P(A and B)=0.11
substitute
P(A or B)=0.68+0.32-0.11
P(A or B)=0.89
The answer is 0.89equationsWrite a system of equations to describe the situation below, solve using elimination, and fill inche blanks.lada gets paid at home for doing extra chores. Last week, she did 1 load of laundry and 8oads of dishes, and her parents paid her $26. The week before, she finished 3 loads ofaundry and 8 loads of dishes, earning a total of $30. How much does Jada earn forcompleting each type of chore?
Answers
In this problem, we are going to write and solve a system of equations based on a real world situation.
Last week, she did 1 load of laundry and 8 loads of dishes, and her parents paid her $26. The week before, she finished 3 loads of laundry and 8 loads of dishes, earning a total of $30.
To begin, we need to create variables for the unknown cost of each chore.
Let x represent laundry, and let y represent dishes.
From the first equation, we can write the equation:
[tex]x+8y=26[/tex]We can write the second equation as:
[tex]3x+8y=30[/tex]Together, we have the system:
[tex]\begin{cases}x+8y={26} \\ 3x+8y={30}\end{cases}[/tex]Multiply the first equation by -1, then add it to the second equation:
[tex]\begin{gathered} \begin{cases}-1(x+8y={26)} \\ 3x+8y={30}\end{cases} \\ \\ \begin{cases}-x-8y={-26} \\ 3x+8y={30}\end{cases} \\ \\ (-x+3x)+(-8y+8y)=-26+30 \\ 2x=4 \end{gathered}[/tex]We can divide the remaining equation by 2 on both sides:
[tex]\begin{gathered} \frac{2x}{2}=\frac{4}{2} \\ \\ x=2 \end{gathered}[/tex]Lada made $2 per load of laundry.
We can use the value of x in the first equation to find the value of y. Substitute x = 2:
[tex]2+8y=26[/tex]Subtract 2 from both sides:
[tex]8y=24[/tex]Divide by 8 on both sides:
[tex]y=3[/tex]Lada made $3 per load of dishes.
PLSS HELP I NEED ASAP
Answers
Answer:
m = -5
n = -2
Step-by-step explanation:
5m + 6n = -37
10m + 4n = -58 multiply first equation by -2
-2 × 5m + 6n = -37
-10m + (-12n) = 74 now add two equations up
10m - 10m + 4n - 12n = 74 - 58 add/ subtract like terms
-8n = 16 divide both sides by -8
n = -2
to find the value of m, replace n with -2 in the first equation
5m + 6*(-2) = -37
5m - 12 = -37 add 12 to both sides
5m = -25 divide both sides by 5
m = -5
Select the correct answer.
Function g is a transformation of the parent cosine function such that g(x) = 3 cos (x + 2) + 1. Which graph represents function g?
Answers
Option C gives the graph of Function g is a transformation of the parent cosine function such that g(x) = 3 cos(x + 2) + 1 as it the graph of cosine function.
What is cosine function?The ratio between the adjacent side and the hypotenuse is known as the cosine function (or cos function) in triangles. One of the three primary trigonometric functions, cosine is the complement of sine (co+sine) and one of the three main trigonometric functions.
What is Graph?A graph is a structure that resembles a set of objects in mathematics, more specifically in graph theory, in which some pairs of the objects are conceptually "related." The objects are represented by mathematical abstractions known as vertices, and each pair of connected vertices is referred to as an edge.
Choice C provides a graph of the parent cosine function is transformed into function g such that g(x) = 3 cos(x + 2) + 1 on the cosine function graph.
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Answer:
see photo
be sure to look closely, the top curves go to 4 and the bottom goes to -2, there are 2 with this same shape but the other one does not go high enough.
Step-by-step explanation:
Plato/Edmentum
Rewrite one fourteenth times x cubed times y plus three fourteenths times x times y squared using a common factor.
Answers
The equation that represents the sentence will be (1/14)xy ·[x² + 3y].
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
The act of converting a specified statement into an expression or equation is known as a sentence-to-equation transformation.
The sentence is given below.
One-fourteenth times x cubed times y plus three-fourteenths times x times y squared.
Convert the sentence into an expression. Then we have
⇒ (1/14)x³y + (3/14)xy²
Simplify the expression, then we have
⇒ (1/14)x³y + (3/14)xy²
⇒ (1/14)xy ·[x² + 3y]
The equation that represents the sentence will be (1/14)xy ·[x² + 3y].
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The table shows a proportional relationship.
x 12 8 24
y 3 2 6
Describe what the graph of the proportional relationship would look like.
A line passes through the point (0, 0) and continues through the point (3, 12).
A line passes through the point (0, 0) and continues through the point (2, 8).
A line passes through the point (0, 0) and continues through the point (6, 24).
A line passes through the point (0, 0) and continues through the point (12, 3).
Answers
A graph which best describes what the proportional relationship would be D. A line that passes through the point (0, 0) and continues through the point (12, 3).
What is a graph?In Mathematics, a graph is used to graphically represent data points on both the horizontal and vertical lines of a cartesian coordinate, which are the x-axis and y-axis respectively.
Additionally, a graph which shows a proportional relationship between two variables would always have a straight line with its data points passing through the origin (0, 0).
Since the graph represents a proportional relationship we will get;
Constant of proportionality, we get;
k = 12/3 = 8/2 = 24/6
k = 4
Ratio,
24:6
= 12:3.
Therefore, A line that passes through the point (0, 0) and continues through the point (12, 3).
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What is the end behavior of the polynomial function? Drag the choices into the boxes to correctly describe the end behavior of the function. f(x)=6x9−6x4−6 f(x)=−3x4−6x+4x−5
As x→−∞
As x→∞
Answers
The end behavior of the polynomial function is as shown in the attached picture.
What is polynomial function?Polynomial functions refers to equation that consists of variables that have non negative exponents or powers. The when there is only one term in the equation it is referred to as monomial
What is end behavior of polynomial function?The end behavior refers to the behavior of the function at the extremes of the x direction.
The end behavior of a polynomial function is controlled by the term that has the leading terms
In the given question,
The first question has 6x^9 as the term that controls the end behavior hence substituting the -∞ and +∞ gives the end behavior as attachedSimilarly, the second function has -3x^4 as the leading term substituting the -∞ and +∞ gives the end behavior as attachedLearn more on end behavior at: https://brainly.com/question/1365136
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5 (u - 5) + 6u = 8 solve for u and simplifly your answer as much as possible
Answers
Answer:
u = 3
Step-by-step explanation:
Step 1: Distribute 5 in u - 5
[tex]\displaystyle{5\cdot u - 5\cdot 5 +6u=8}\\\\\displaystyle{5u-25+6u=8}[/tex]
Step 2: Add like terms together (u-term)
[tex]\displaystyle{11u-25=8}[/tex]
Step 3: Add both sides by 25
[tex]\displaystyle{11u-25+25=8+25}\\\\\displaystyle{11u=33}[/tex]
Step 4: Divide both sides by 11
[tex]\displaystyle{\dfrac{11u}{11}=\dfrac{33}{11}}\\\\\displaystyle{u=3}[/tex]
Answer Check
Step 1: Substitute u = 3 in the equation
[tex]\displaystyle{5(3-5)+6(3)=8}[/tex]
Step 2: Evaluate & Simplify
[tex]\displaystyle{5(-2)+18=8}\\\\\displaystyle{-10+18=8}\\\\\displaystyle{8=8}[/tex]
Since the equation is true after substituting u = 3. Therefore, the answer is u = 3.
Please let me know if you have any questions!
given the domain {-2,2,4} what is the range for relation 3x+y=3a (-9,3,9)b (9,-3,-9)c (-3,9,15)d (0,5,7)
Answers
the relation is 3x + y = 3
so,
y = 3x - 3
the domain is the values of x
so, substitute with each value of {-2,2,4} at the last equation of y
when x = -2 , y = 3*-2 - 3 = -6 - 3 = -9
when x = 2 , y = 3 * 2 - 3 = 6 - 3 = 3
when x = 4 , y = 3 * 4 - 3 = 12 - 3 = 9
so, the range will be {-9 , 3 , 9}
The correct answer is option a. (-9,3,9)x
Suppose a golf ball bounces off a wall at a point P, and that
line mis perpendicular to the wall at point P.
What is the measure of the angle of reflection?
A. 50°
B. 40°
C. 140°
D. 90°
Answers
ABCD is a quadrilateral
Work out the length of BC
Give your answer correct to 1 decimal place.
Answers
Using the law of cosines, the length of BC in the given quadrilateral is: 8.1 cm.
What is the Law of Cosines?The law of cosines that can be used to find the length of a side of a triangle with a known included angle and two sides is:
c² = a² + b² - 2 × a × b × Cos C.
Considering right triangle ABD,
BD = a
DC = b
BC = c
Use the Pythagorean theorem to find the length of BD in the quadrilateral as shown in the diagram:
BD = √(7.5² + 5²)
BD = √(7.5² + 5²)
BD = 9.0 cm
Use the law of cosines to find the length of BC:
BC² = BD² + DC² - 2 × BD × DC × Cos <BDC.
Substitute
BC² = 9.0² + 13² - 2 × 9.0 × 13 × Cos 38
BC² = 250 - 184.4
BC² = 65.6
BC = √65.6
BC = 8.1 cm
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2,048 rounded to the nearest tenth?
Answers
answer to the question that you have
2,048.0
2050 because
1-9 = ones place
10-99 = tenth place
100-999 = hundrends place
1000 - 999999 - thousands place
and you round to the nearest 0 if it is 5 or up and if it is 1 to 4 it stays the same
How much greater is 8.5 x 10^-2 than 6.6 × 10^-5 ?
Answers
Answer:
1288 times greater
Step-by-step explanation:
(8.5x10^-2)/(6.6x10^-5)
(8.5/6.6)*(10^-2/10^-5)
(1.29)*(10^3)
1288 times greater
ASAP NEED HELP WILL GIVE BRAINLIEST
Answers
The value of the unknown angle x is 22 degrees.
How to find the angle x?SV is a parallel to RU.
RV is a transversal line that cut across the parallel lines SV and RU.
Therefore,
x = ∠V(alternate angles)
Alternate angles are congruent.
Hence,
∠V + 44 + 5x + 4 = 180 (sum of angles in a triangle)
x + 44 + 5x + 4 = 180
x + 5x + 48 = 180
6x + 48 = 180
6x = 180 - 48
6x = 132
divide both sides by 6
x = 132 /6
x = 22 degrees
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pls help me asap! due in 30 minutes :(
Answers
Answer:
(x+6)+x=20 Andy
Step-by-step explanation:
X represents Andy
X+6 represents juana who did 6 more problems
(X+6)+x=20
2x+6=20
2x=14
X=7
PLS
Natasha has a photo of a lasagna dish she made, which she wants to post to various
websites. The original image has a width of 300 pixels and a height of 450 pixels.
Consider each set of new dimensions or scale percents that show adjustments to this
original image. Describe how the image changed and whether the new image is
similar to the original. Show your work and explain your reasoning.
New image: 35% width, 35% height
Answers
As both the width and height of the new image are 35% of the width and height of the original image, the aspect ratio is maintained and the new image is similar to the original image.
What is a Scale Factor?A scale factor is defined as the ratio of an object's original scale to that of a new one, considering the different depictions of that object (bigger or smaller)
Given:
The dimensions of the original image are a width of 300 pixels and a height of 450 pixels.
The dimensions of the New image have 35% width and 35% height.
Width = 0.35 × 300 = 105
Height = 0.35 × 450 = 157.5
Scale factor = New Dimension/Original Dimension
Scale factor of Height = 157.5/450 = 0.35
Scale factor of width = 105/300 = 0.35
Therefore, the new image is neither scaled down nor scaled up and is the same as the original image.
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Question 1 3 pts Isis has 4.8 m of ribbon for crafts. She wants to share it evenly with 12 friends. How many centimeters of ribbon would 5 friends get?
Answers
We will investigate the equal distribution of ribbon amoung her friends.
Isis has a ribbon for crafts for a certain length ( L ):
[tex]L\text{ = 4.8 m}[/tex]Isis has ( n ) number of friends amoung which she wants to equally distribute the length ( L ) of her ribbon:
[tex]n\text{ = 12}[/tex]Under the assumption of equal distribution we can divide the total length of ribbon ( L ) amoung Isis ( n ) of friends to determine what length ( l ) each friend got:
[tex]\begin{gathered} l\text{ = }\frac{L}{n} \\ \\ l\text{ = }\frac{4.8}{12} \\ \\ l\text{ = 0.4 m or 40 cm} \end{gathered}[/tex]So each friend of Isis got a piece of 40 cm length of the ribbon. So the length of the ribbon accumulated for 5 friends would involves the direct multiplication of 5 number of friends and length of each piece ( l ):
[tex]\begin{gathered} 5\text{ friends got = 5 }\cdot\text{ l} \\ 5\text{ friends got = 5 }\cdot\text{ 40} \\ 5\text{ friends got = }200\text{ cm} \end{gathered}[/tex]Therefore, the answer to the question is:
[tex]200\text{ cm}[/tex]