They left the park at 3:05
Eva and Dulcina have 82 pins together. Dulcina has 34 more pins than Eva. How many pins are in Dulcinas collection? How many pins are in Eva's collection?
Answer:
Eva has 24 pins
Step-by-step explanation:
D = 34 + E
E + D = 82
34 + E + E = 82
2E = 48
E = 24
D = 24 + 34
D = 58
Sure! Let's solve it step by step.
1. We know from the problem that Dulcina has 34 more pins than Eva does. This means that Dulcina's collection is Eva's collection plus 34 pins.
2. Together, Eva and Dulcina have a total of 82 pins. This means that if we add the number of pins in both collections, it should total 82.
3. If we represent the number of pins in Eva's collection as 'x', the above two steps could be represented in equation as: x + (x + 34) = 82.
4. Simplifying this equation gives us 2x + 34 = 82. To isolate the term with 'x', we subtract 34 from both sides of the equation, resulting in 2x = 48.
5. To find the value for 'x', which represents the number of pins in Eva's collection, we then divide both sides of the equation by 2, which gives us x = 24.
6. So, Eva has 24 pins in her collection.
7. Now, since Dulcina has 34 more pins than Eva, we add 34 to Eva's total to find the number of pins in Dulcina's collection. This gives us Dulcina's total as 24 + 34 = 58.
Therefore, Eva has 24 pins and Dulcina has 58 pins in their collections.
The measure of the space inside a 2d figure is called
Answer:
an area
Step-by-step explanation:
A two-dimensional (2D) figure is like drawing on a sheet of paper. It has some width and some length, but no height.
So, you cannot calculate its volume, since it has only 2 dimensions, a volume requires 3 dimensions.
The only spacial measure you can do on a two-dimensional figure is its area (basically length * width, if we talk about a rectangle, other forms have different calculation methods).
Answer:
A tree dimensional solid object bounded by six square faces
polygon ABCD is defined by the points A(-4,2), B(-2,4), C(1,3), and D(2,2). match the coordinates of the points you f the transformed polygons to their correct value
Answer:
D' ..................> (-2,2)
C'' .................> (3,-1)
A''' ................> (4,-2)
B'' .................> (4,2)
Step-by-step explanation:
Before we begin, we should remember the rotation rules:
1- Rotation 90° clockwise:
Coordinates (x,y) become (y,-x)
2- Rotation 90° counter clockwise:
Coordinates (x,y) become (-y,x)
3- Rotation 180° clockwise:
Coordinates (x,y) become (-x,-y)
4- Rotation 270° counter clockwise:
Coordinates (x,y) become (y,-x) ...........> same as rotation 90° clockwise
Now, let's consider the given problem:
1- Coordinates of D' if polygon ABCD rotates 90° counter clockwise to create A'B'C'D'
Original coordinates of point D are (2,2)
Rotation 90° counter clockwise means that the new coordinates will be (-y,x) which is (-2,2)
2- Coordinates of C'' if polygon ABCD rotates 90° clockwise to create A''B''C''D''
Original coordinates of point C are (1,3)
Rotation 90° clockwise means that the new coordinates will be (y,x) which is (3,-1)
3- Coordinates of A''' if polygon ABCD rotates 180° clockwise to create A'''B'''C'''D'''
Original coordinates of point A are (-4,2)
Rotation 180° clockwise means that the new coordinates will be (-x,-y) which is (4,-2)
4- Coordinates of B'' if polygon ABCD rotates 270° counter clockwise to create A''B''C''D''
Original coordinates of point B are (-2,4)
Rotation 270° counter clockwise means that the new coordinates will be (y,-x) which is (4,2)
Hope this helps :)
This week Kyara worked x + 4 hours. She is paid x - 4 dollar per hour. Write a polynomial for the amount that Kyara earned this week . Then calculate her pay if x = 12.
Answer:
Polynomial equation is x² - 16
Her pay if x = 12 is $128
Step-by-step explanation:
This week, Kyara worked x + 4 hours
She is paid x - 4 dollars per hour
She earned (x + 4)(x - 4) = x² - 16 dollars this week
Her pay if x - 12 is;
12² - 16 = $128
The point A is at –2 and the point B is at 7. Marissa would like to divide this line segment in a 4:3 ratio, and she would like to use the formula x = (x2 – x1) + x1.What values should she substitute into the formula?
Answer:
Step-by-step explanation:
Note that the distance, along a straight line, from A: -2 to B: 7 is 9 units.
This is found by subtracting -2 from 7, so x2 = 7 and x1 = -2.
Then x = (x2 – x1) + x1 becomes x = (7 - [-2] ) + [-2], or x = 7. This does not make sense.
If we ignore this x = (x2 – x1) + x1, and focus instead on finding the division point in this line segment:
4 + 3 = 7, so the longer part of this 9-unit distance will be (4/7)(9), or 36/7 units long, or 5 1/7 units long. The shorter part will be (3/7)(9), or 27/7 units long.
To check: determine whether the ratio 36/7 to 27/7 comes out to 4:3, as it must:
36 4*9
---- = --------- = 4/3. YES
27 3*9
Answer:
1). a = 4
2). a + b = 7
3). x1 = -2
4). x2 = 7
Step-by-step explanation:
I just did the assignment on Edge and it's 100% correct... Hope this helps!!
Also heart and rate if you found this answer helpful!!
An isosceles triangle ABC with the base BC is inscribed in a circle. Find the measure of angles of it, if measure of arc BC = 102°.
__, __, __ or __, __, __
Answer:
The measures of the angles of the triangle are 51° , 64.5° , 64.5°
OR
The measures of the angles of the triangle are 129° , 25.5° , 25.5°
Step-by-step explanation:
* Lets explain the meaning of the inscribed triangle in a circle
- If a triangle inscribed in a circle, then the vertices of the triangle lie
on the circumference of the circle and each vertex is an inscribed
angle in the circle subtended by the opposite arc
- Fact in the circle the measure of the inscribed angle is 1/2 the
measure of its subtended arc
* Now lets solve the problem
- Δ ABC is an isosceles with the base BC
∴ AB = AC
∴ m∠B = m∠C
- Δ ABC is inscribed in a circle
∴ ∠A is inscribed angle subtended by arc BC (minor or major)
# The measure of the minor arc is less than 180° and the measure of
the major arc is greater then 180° and the sum of the two arcs
equals the measure of the circle which is 360°
∴ ∠B subtended by arc AC
∴ ∠C subtended by arc AB
∵ The measure of the arc BC = 102°
- There is two cases in this question
(1) If the angle A subtended by the minor arc BC
(2) If the angle A subtended by the major arc BC
- Lets solve case (1)
∵ ∠A is an inscribed angle subtended by the minor arc BC
∴ m∠A = 1/2 the measure of the arc BC
∵ The measure of the arc BC is 102°
∴ m∠A = 1/2 × 102 = 51°
∵ The sum of the measures of the interior angles of a triangle is 180°
∴ m∠A + m∠B + m∠C = 180°
∴ 51 + m∠B + m∠C = 180° ⇒ subtract 51 from both sides
∴ m∠B + m∠C = 129°
∵ m∠B = m∠C ⇒ isosceles Δ
∴ m∠B = m∠C = 129/2 = 64.5°
* The measures of the angles of the triangle are 51° , 64.5° , 64.5°
- Lets solve case (2)
∵ ∠A is an inscribed angle subtended by the major arc BC
∴ m∠A = 1/2 the measure of the arc BC
∵ The measure of the minor arc BC is 102°
∵ The measure of the circle is 360°
∴ The measure of the major arc = 360 - 102 = 258°
∴ m∠A = 1/2 × 258 = 129°
∵ The sum of the measures of the interior angles of a triangle is 180°
∴ m∠A + m∠B + m∠C = 180°
∴ 129 + m∠B + m∠C = 180° ⇒ subtract 129 from both sides
∴ m∠B + m∠C = 51°
∵ m∠B = m∠C ⇒ isosceles Δ
∴ m∠B = m∠C = 51/2 = 25.5°
* The measures of the angles of the triangle are 129° , 25.5° , 25.5°
HELP PLEASE!! I DON'T UNDERSTAND!!
It should be 40 degrees
Answer:
60 deg
Step-by-step explanation:
The measure of angle LPM is the sum of the measures of arcs LM and KN divided by 2.
m<LPM = (40 + 80)/2 = 60
Answer: m<LPM = 60 deg
Find the slope of the line graphed below.
It is 5/3 because it going up by 5 over by 3 hope this helps.
30 points to whoever can answer this please!
Complete the general form of the equation of a sinusoidal function having an amplitude of 6, a period of 2pi/3, and a phase shift to the left 1 unit.
Answer:
y=6sin3(x+1)
Step-by-step explanation:
What is the solution to the system of equations? y = –3x – 2 5x + 2y = 15 (–40, 19) (–19, 55) (19, –40) (55, –19)
Step-by-step Answer:
What is the solution to the system of equations?
y = –3x – 2 ..............(1)
5x + 2y = 15..............(2)
Substitute (1) in (2) to give
5x + 2(-3x-2) = 15
5x-6x-4 = 15
-x-4=15
solve for x:
-4-15 = x
x=-19
Now substitute x=-19 into equation (1)
y = -3x-2 = 57-2 = 55
Therefore the solution is (-19, 55)
The solution of system of equations are (-19, 55)
The given system of equations are,
[tex]y=-3x-2..........(1)\\\\5x+2y=15........(2)[/tex]
Substituting the value of y from equation 1 into equation 2.
[tex]5x+2(-3x-2)=15\\\\5x-6x-4=15\\\\x=-4-15=-19[/tex]
Substituting the value of x in equation 1
[tex]y=-3(-19)-2\\\\y=57-2=55[/tex]
Thus, the solution of system of equations are (-19, 55)
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Alex is planning to have a snack during his break from class. He needs to eat 8 grams of fiber and 12 grams of protein. In the vending machine, he finds three types of packaged snacks: crackers that have 1 g of fiber and 2 g of protein, cookies that have 1 g of fiber and 1 g of protein, and nuts that have 3 g of fiber and 4 g of protein. How many packages of each snack can he eat to obtain his goal?
8g fiber....12g protein
1.Crackers--->1g fiber....2g protein
2.Cookies--->1g fiber....1g protein
3.Nuts--->3g fiber....4g protein
-3 packaged of crackers
-2 packaged of cookies
-1 package of nuts
3g+2g+3g=8g fiber
6g+2g+4g=12g protein
Answer:
3 packages of crackers
, 2 packages of cookies
, 1 package of nuts
Step-by-step explanation:
Types of packaged snacks :
Crackers
Quantity of fibre = 1 gram
Quantity of protein = 2 grams
Cookies
Quantity of fibre = 1 gram
Quantity of protein = 1 gram
Nuts
Quantity of fibre = 3 grams
Quantity of protein = 4 grams
Required quantity of fibre = 8 grams
Required quantity of protein = 12 grams
To find : Number of packages of each snack that he can eat to obtain his goal
Now 3 packages of crackers contain 3×1=3 grams of fiber and 3×2=6 grams of proteins .
2 packages of cookies contain 2×1=2 grams of fiber and 2×1=2 grams of proteins .
1 package of nuts contain 3×1=3 grams of fiber and 1×4=4 grams of proteins
So, total quantity of fibres that he get from three types of packaged snacks = 3g+2g+3g = 8g fiber
Total quantity of protein that he get from three types of packaged snacks =
6g+2g+4g = 12g proteins
Use the geometric mean to find the seventh term in a geometric sequence if the 6th term is 6 and the 8th term is 216
A.)36
B.)106
C.)111
D.)176
Please please please help!!!
Answer:
A
Step-by-step explanation:
The geometric mean of 2 values a and b is [tex]\sqrt{ab}[/tex]
The 7 th term is the geometric mean of the 6 th and 8 th terms
Hence
[tex]a_{7}[/tex] = [tex]\sqrt{6(216)}[/tex] = 36 → A
Identify m∠ACD. HELP ASAP!!
Answer:
<ACD = 35 degrees
Step-by-step explanation:
An intercepted angle is an arc segment of a circle whose endpoints connect at a point on the opposite side of the circle to create an angle. In this case arc AD is the intercepted arc of <ACD.
The measure of angle is half the measure of its intercepted arc.
AD measures 70 degrees, so divide this by 2.
70/2 = 35
<ACD = 35 degrees
About 30 million Americans attend classical music concerts . The average concertgoer attends 2.9 concerts per year . About how many tickets to classical concerts are sold each year
Answer:
87 million tickets are sold every year.
Step-by-step explanation:
Number of Americans attending classical music concerts:
30 million
Average number of times a spectator attends a concert in a year
2.9 times
Then the amount of tickets sold "x" for concerts of classical music in a year, will be equal to the number of people attending for the number of times they attend. So:
[tex]x= 30 * 2.9[/tex]
Where "x" is given in units of millions.
[tex]x = 87[/tex]
HELPPPPPPPPPPPPPPPPPPPPPPPPPP create a proportion using the form %/100 is/of = to represent the following word problem.15 is 1 1/2 % of what number ?/? = ?/?
Answer:
11/2 is equal to 5.5
Take 15 and divide it by that decimal, 5.5 and I believe the answer should be 2.72.
15 is 11/2% larger than 2.72
I am 99.9% sure that is the correct answer but I could be wrong.
To represent the word problem '15 is 1 1/2% of what number?' using a proportion, we can set up the form %1 1/2/100 = 15/n. By cross multiplying and solving for 'n', we find that 15 is 1 1/2% of 1000.
Explanation:To represent the word problem '15 is 1 1/2% of what number?' using a proportion, we can use the form %0/100 = is/of. Let's assign 'n' to represent the unknown number. We can set up the proportion as follows:
%1 1/2/100 = 15/n
Now, we can solve for 'n' by cross multiplying and then dividing. First, convert 1 1/2% to a decimal by dividing 1 1/2 by 100 to get 0.015. The proportion becomes:
0.015 = 15/n
To solve for 'n', we can multiply both sides of the equation by 'n':
0.015n = 15
Finally, divide both sides of the equation by 0.015 to isolate 'n':
n = 15/0.015 = 1000
Therefore, 15 is 1 1/2% of 1000.
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The complete question is here:
Create a proportion using the form %0/100 = is/of to represent the following word problem
15 is 1 (1/2)% of what number?
- =
60 100 20 78 1 (1/2) 15 42 n 30 7
Polygon D is a scaled copy of Polygon C using a scale factor of 6. How many times larger is the area of Polygon D than the area Polygon C? i need answers FAST PLEASEEEEEEEEEEEE
I need a more detailed question, but I think the answer is 6.
On equal intervals, the y-values of a quadratic function have a common _________
Answer:
second difference
Step-by-step explanation:
The differences of the y-values will differ by a common amount.
Example:
y = x^2 for x = 2, 4, 6, 8
y-values are 4, 16, 36, 64
differences of these are 12, 20, 28
differences of these differences are 8 and 8, a common value.
Answer:
For reference
Step-by-step explanation:
Identify the area of sector GLM in terms of π and rounded to the nearest hundredth. HELP ASAP!!
Answer:
28.8π ft² ≅ 90.48 ft²
Explanation:
Use the formula area of a sector.
Answer:
≈ 28.8π ft2 ≈ 90.48 ft2
Step-by-step explanation:
There are 5 seniors on student council. Two of them will be chosen to go to an all-district meeting. How many ways are there to choose the students who will go to the meeting? Decide if this is a permutation or a combination, and then find the number of ways to choose the students who go
Answer:
combination, number of ways 10
Step-by-step explanation:
Find the axis of symmetry for this parabola:
y=-5x^2-10x-13
The axis of symmetry for the parabola [tex]y = -5x^2 - 10x - 13[/tex] is the line x = -1.
To find the axis of symmetry for the parabola given by the equation [tex]y = -5x^2 - 10x - 13[/tex], we need to use the formula x = -b/(2a), where a and b are the coefficients of x² and x respectively from the standard form of a quadratic equation [tex]ax^2 + bx + c.[/tex]
In this case, a is -5 and b is -10. Plugging these values into the formula, we get:
x = -(-10)/(2*(-5))
x = 10/(-10)
x = -1
Therefore, the axis of symmetry for the parabola y = -5x² - 10x - 13 is the line x = -1.
A 22m ladder and a 20m ladder were leaned against a building. The bottom of the longer ladder was 4m farther from the building than the bottom of the shorter ladder, but both ladders reached the same distance up the building. Find this distance to the nearest tenth.
12.2m
15.3m
18.1m
19.2m
Answer:
Both ladder reaches 18.1 m up the building ⇒ 3rd answer
Step-by-step explanation:
* Lets study the information to solve the problem
- There are two ladders
- The lengths of them are 22 m and 20 m
- The bottom of the longer was 4 m farther than the bottom of the
shorter from the building
- Both of them reached the same distance up the building
* Lets solve the problem
- Let the distance between the bottom of the shorter ladder to the
building is x
∵ The bottom of the longer ladder is farther by 4
∴ The distance between the bottom of the longer ladder and the
building is x + 4
- Let the ladders reached the distance h up the building
* Now we have two right triangles
# Their hypotenuses are 22 and 20
# Their heights are h
# Their bases are x + 4 , x
- Lets find h in each triangle using the rule of Pythagoras
∵ (hypotenuse)² = (leg 1)² + (leg 2)²
# The longer ladder
∵ hypotenuse = 22
∵ leg 1 = x + 4
∵ leg 2 = h
∴ (22)² = (x + 4)² + h² ⇒ simplify
∴ 484 = (x + 4)² + h² ⇒ subtract (x + 4)² from both sides
∴ h² = 484 - (x + 4)² ⇒ (1)
# The shorter ladder
∵ hypotenuse = 20
∵ leg 1 = x
∵ leg 2 = h
∴ (20)² = (x )² + h² ⇒ simplify
∴ 400 = x² + h² ⇒ subtract x² from both sides
∴ h² = 400 - x² ⇒ (2)
- Equate (1) , (2) to find x
∴ 484 - (x + 4)² = 400 - x² ⇒ Add (x + 4)² and subtract 400 in both sides
∴ 84 = (x + 4)² - x² ⇒ open the bracket
∴ 84 = x² + 2(4)(x) + 4² - x² ⇒ simplify
∴ 84 = 8x + 14 ⇒ subtract 16 from both sides
∴ 68 = 8x ⇒ divide both sides by 8
∴ x = 8.5
- Substitute this value of x in (1) or (2) to find h
∵ h² = 400 - x²
∴ h² = 400 - (8.5)² = 327.75 ⇒ take √ for both sides
∴ h = 18.1
* Both ladder reaches 18.1 m up the building
what is the classification for this polynomial -3a^2b^5+2a
[tex]\bf \stackrel{\stackrel{degree}{\stackrel{2+5=7}{\downarrow }}}{-3a^2b^5}+\stackrel{\stackrel{\stackrel{degree}{1}}{\downarrow }}{2a^1}\impliedby \begin{array}{llll} \textit{highest degree of any term is 7}\\ \textit{so is a 7 degree polynomial}\\ \textit{or called a "septic"} \end{array}[/tex]
bear in mind that the degree of a polynomial comes from the highest degree of any of its terms, and the degree of a term is the sum of all exponents in the variables.
Please help me asap!
Hint: the answer is negative.
(m^2 •n^3)^ -3 =m^-6 •n^ -9;
Answer is -3
The answer is -3. To make sure, you can substitute it into the equation with values for the variables, and you will get the same answer on both sides.
What is the logarithmic function modeled by the following table?
x f(x)
8 3
16 4
32 5
Select one:
a. f(x) = logx2
b. f(x) = log2x
c. f(x) = 2 log10x
d. f(x) = x log102
Answer:
The logarithmic function modeled by the table would be
[tex]f(x)=log_{2} x[/tex]
So it would seem to be answer B.
Find the probability of drawing a red ace, then a red king from a standard deck of cards without replacement.
a. 2/51 or about 0.0392
b. 4/663 or about 0.0060
c. 1/26 or about 0.0385
d. 1/663 or about 0.0015
The answer is d. 1/663 or about 0.0015
Answer:
(d): 0.0015
Step-by-step explanation:
Red ace: 1 chance in 52.
Red king, after that: 1 chance in 51
Joint probability: red ace and then red king, without replacement:
2 2
------ * ----- = 1/663, or about 0.0015 (Answer d)
52 51
Double check my Math Question?
Evaluate the dot product (2, 4) and (1, -2)
My answer comes out (2, 2), is that right?
Answer:
-6
Step-by-step explanation:
You are finding the dot product of vectors <2, 4> and <1, -2>. Recall that the dot product is a SCALAR. In this case <2, 4> · <1, -2> = 2(1) + 4(-2)>, or
2 - 8, or -6.
The surface area of a cone is 16.8pi inches^2. The radius is 3 inches. What is the slant height?
[tex]\bf \textit{surface area of a cone}\\\\ SA=\pi rs+\pi r^2~~ \begin{cases} r=&radius\\ s=&slant\\ &height\\ \cline{1-2} SA=&16.8\pi \\ r=&3 \end{cases}\implies 16.8\pi =\pi (3)s+\pi (3)^2 \\\\\\ 16.8\pi =3\pi s+9\pi\implies 16.8\pi -9\pi =3\pi s\implies 7.8\pi =3\pi s \\\\\\ \cfrac{7.8\pi }{3\pi }=s\implies 2.6=s[/tex]
Luke's baseball team went to an amusement park at the end of the season the cost of admission for five coaches and 12 players were $407.50 the mission cost for each launch was Luke's baseball team went to an amusement park at the end of the season the cost of admission for five coaches and 12 players were $407.50 the mission cost for each launch was 25 $27.50 what was admission cost for each player
Answer:
$22.50
Step-by-step explanation:
The cost of admission for the 5 coaches was ...
5×$27.50 = $137.50
So the cost of admission for the 12 players was ...
$407.50 -137.50 = $270.00
The cost for one player was 1/12 that amount, or ...
$270/12 = $22.50
The admission cost for each player was $22.50.
The admission cost for each player is $22.50.
Explanation:To find the admission cost for each player, we need to subtract the cost of admission for the coaches from the total cost of admission for all the coaches and players. The cost for five coaches is $((5 imes 27.50) = 137.50). So, the cost for the 12 players is $(407.50 - 137.50 = 270).
Therefore, the admission cost for each player is $22.50.
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Please please help me out
Answer:
x = 60°
Step-by-step explanation:
The measure of x is one- half the difference of the measures of the intercepted arcs.
The minor arc = 120°, hence
The major arc = 360° - 120° - 240°, so
x = 0.5(240 - 120) = 0.5 × 120° = 60°
A father and his son walked 240 meters. During this trip, the father made 100 fewer steps than did his son. Find the distance each one of them covers with one step, if the father’s step is 20 cm greater than his son’s step.
The answer is:
The father's step is 80 cm
The son's step is 60 cm.
Why?To solve the problem, we need to write equations in order to create a relation between the father's and son's steps, and the distance covered by them.
We know thay they covered 240 meters, and the father's step is 20 cm (0.2m)greater than his son's step, so, we can write the following relation:
[tex]NumberOfSteps_{Son}=\frac{240m}{x}[/tex]
and,
[tex]NumberOfSteps_{Father}=\frac{240m}{x+0.2m}[/tex]
Now, if the know that the father made 100 fewer steps than his son, we have:
[tex]NumberOfSteps_{Son}-100=\frac{240m}{x+0.2m}[/tex]
Then, substituting the first equation into the second equation, we have:
[tex]\frac{240m}{x}-\frac{240m}{x+0.2m}=100\\\\\frac{240m(x+0.2m)-240mx}{x(x+0.2m)}=100\\\\240mx+0.2m*240m-240mx=(x)(x+0.2m)*100\\\\48m^{2}=100*(x^{2}+0.2mx)=100x^{2} +20mx\\\\48m^{2}=100x^{2}+20mx\\\\100x^{2}+20mx-48m^{2}[/tex]
We have a quadratic equation:
[tex]100x^{2}+20mx-48m^{2}=0[/tex]
Where,
[tex]a=100\\b=20\\c=-48[/tex]
So, solving it applying the quadratic formula, we have:
[tex]\frac{-b+-\sqrt{b^{2} -4ac} }{2a}[/tex]
[tex]\frac{-20+-\sqrt{20^{2} -4*100*-48} }{2*100}=\frac{-20+-\sqrt{400+19200} }{200}\\\\\frac{-20+-\sqrt{400+19200} }{200}=\frac{-20+-\sqrt{19600} }{200}\\\\\frac{-20+-\sqrt{19600} }{200}=\frac{-20+-(140)}{200}\\\\x_{1}=\frac{-20+140}{200}=0.6\\\\x_{2}=\frac{-20-140}{200}=-0.8[/tex]
Then, since distance cannot be negative, we need to take the positive value, so, the son's step is 0.6m or 60 cm.
Now, calculating the father's step, we have:
[tex]FatherStep=SonStep+20cm\\\\FatherStep=60cm+20cm=80cm[/tex]
Hence, we have that the father's step is 80 cm.
Have a nice day!
The distance of the father and son will be 80cm and 60cm respectively.
How to calculate the distance?The number of son's step will be:
= 240/x
The number or father's step will be:
= 240/x + 0.2
Solving further, we'll have 100x² - 20mx - 48m² and using quadratic formula, this will be x1 = 0.6 and x2 = -0.8.
The son's step will be:
= 0.6 × 100 = 60cm
The father's step will be:
= 60cm + 20cm = 80cm
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