Problem of the Week Problem C Painting the Way
Alexia, Benito, and Carmen won a team art competition at their local park. As
part of their prize, they can paint the 5 km (5000 m) paved path through the
park any way they like.
They decided Alexia will paint the first 70 m, then Benito will paint the next
15 m, then Carmen will paint the next 35 m. They will keep repeating this
pattern until they reach the end of the 5 km path.
What percentage of the path will each person paint? please tell me how you solved it.

Answers

Answer 1

Answer: Alexia, Benito and Carmen will paint 58.3%, 29.2% and 12.5% of the path, respectively.

Step-by-step explanation: Percentage is a ratio expressed as a fraction of 100, i.e., it represents a part from a total multiplied by 100.

In the way they decided to paint, they will have painted 120 m.

Alexia will paint 70 m. So the percentage is

[tex]\frac{70}{120}.100[/tex] = 58.3%

Benito will paint the next 15 m. The percentage is

[tex]\frac{15}{120}.100[/tex] = 12.5%

Carmen will paint the next 35 m. The percentage is

[tex]\frac{35}{120}.100[/tex] = 29.2%

Now, since it is a ratio, which means it is a proportion, percentage for all the path will be the same as the percentage of only a part of the path.

Then, the answer is Alexia will paint 58.3%, Benito, 12.5% and Carmen, 29.2% of the 5 km path.


Related Questions

PLS HELP ASAP PLS PLS PLS

Answers

Answer:

i think is D

i hope it’s help you but if not DO NOT FORGET STAY SAFE AT HOME

a linear equation in one variable (the variable x) that can be transformed into an equivalent equation in which these forms has no solution? select one that applies


a. x=0
b. 0=0
c. 0=1

Answers

B is correct!

Have a good day!

Jorge is making a scale model of a dog house that will be 1/8 the size of the actual dog house. The actual dog house is 40 inches high. What will be the height of the scale model of the dog house?

Whoever answers this under 5 mins will get brainiest!!!!

Answers

Answer:

5 inches high

Step-by-step explanation:

The forth term of an A. P. is 37 and the 6th term is 12 more than the forth term. Find the first term and the seventh terms.

Answers

Answer:

First term is 19

7th term =a+6d=127 is answer

Step-by-step explanation:

I hope it's helpful!

i dont know how to do thiss can someone help

Answers

Step-by-step explanation:

REO=RBO=67

BOR=ERO=91

REB=REO-BE0=67-32=35

RYE=180-ERO-REB=180-91-35=54

What do the following two equations represent?
y - 2 = x + 20
y - 2 = -(x+20)

Answers

Answer: Perpendicular lines

Step-by-step explanation:

The first equation (y - 2 = x + 20) represents a line with a positive slope and a y-intercept of 22, while the second equation (y - 2 = -(x + 20)) represents a line with a negative slope and a y-intercept of -18.

The two equations, y - 2 = x + 20 and y - 2 = -(x + 20), represent linear equations in standard form. Let's break down each equation:

y - 2 = x + 20

This equation represents a linear relationship between x and y. It states that the value of y minus 2 is equal to the value of x plus 20. This equation can be rearranged to slope-intercept form (y = mx + b) by isolating y:

y = x + 20 + 2

y = x + 22

The equation y = x + 22 represents a line with a slope of 1 and a y-intercept of 22.

y - 2 = -(x + 20)

Similarly, this equation represents a linear relationship between x and y. It states that the value of y minus 2 is equal to the negative of the value of x plus 20. This equation can also be rearranged to slope-intercept form by isolating y:

y = -(x + 20) + 2

y = -x - 20 + 2

y = -x - 18

The equation y = -x - 18 represents a line with a slope of -1 and a y-intercept of -18.

In summary, the first equation (y - 2 = x + 20) represents a line with a positive slope and a y-intercept of 22, while the second equation (y - 2 = -(x + 20)) represents a line with a negative slope and a y-intercept of -18.

To know more about positive slope click here :

https://brainly.com/question/30754472

#SPJ2

36 = 4x
Please help I’m behind in my class and could use help

Answers

Answer:

x=9

Step-by-step explanation:

Divide by 4 on both sides in order to isolate x and get the answer.

the goal is to isolate the x

to do this, we have to divide both sides by 4

36 / 4 = 9

so x = 9!

-3w+27=6 pls help me im having trouble with this also 13 points

Answers

Answer:

w = 7

Step-by-step explanation:

Step-by-step explanation:

—3w +27=6

—3w=6—27

—3w=—21

w=7

How do I do this? I’m not really sure.

Answers

Answer:

Step-by-step explanation:

f(x) + g(x) = 3x^2 + 2x - 1 + x^2 - 3x + 1

f(x) + g(x) = 4x^2 - x

==================================

f(x) - g(x) = 3x^2 + 2x - 1 - x^2 + 3x - 1

f(x) - g(x) = 2x^2 + 5x - 2

Factor the expression below.4x2 - 1
O A. (x - 1)(4x - 1)
O B. (x - 1)(4x + 1)
O C. (2x - 1)(2x + 1)
O D. (2x - 1)(2x - 1)

Answers

Answer:

C. (2x – 1)(2x + 1)

Step-by-step explanation:

4x² – 1 = (2x)(2x) – 1 = (2x – 1)(2x + 1)

C is correct for that

Hurry!! Worth 10 points

Answers

Answer:

C, i think this is correct!

Answer:

I’m pretty sure it’s C correct me if I’m wrong

A group of 5 teachers bought 3 pens and 1 eraser each. Their total cost for all the materials was $12.89. If the eraser was $0.97, how much was each pen?

Variable:________________

Equation:________________

Solution:________________

Answers

Answer:

$0.536

Step-by-step explanation:

Variable:

p for pen

Equation:

5(3p + 0.97) = 12.89

Solution:

5(3p + 0.97) = 12.8915p + 4.85 = 12.8915p = 12.89 - 4.8515p = 8.04p = 8.04 / 15p = 0.536

Which graph shows a line with an x-intercept of (-5, 0)?

Answers

Answer:

graph?

Step-by-step explanation:

Answer:  you forgot to show the answer choices but

When you have a linear equation, the x-intercept is the point where the graph of the line crosses the x-axis.

Hope this helps :)

find the surface area of a cube having edge 1 units​

Answers

Answer:

surface area = 6a^2 = 6

hence are = 6 unit.sq

If 26 articles cost $214.50, how much does 1 article cost?

Answers

Answer:

8.25 per one article

Step-by-step explanation:

Answer:

8.25

Step-by-step explanation:

i hope this helps

Hey Guys, I was wondering if you could help What are the constants in this expression: 6x-8+4y+5 out of these choices: 6, 4 6x, -8, 4y, 5 8, 5 6, -8, 4, 5 -8, 5

Answers

Given:

The expression is

[tex]6x-8+4y+5[/tex]

To find:

The constants in the given expression.

Solution:

Terms can be a number, variable and product of both. these are separated by "+" sign.

Variables terms:  These terms contains at least one variable.

Constant terms:  These terms are free from the variables. it means there are no variable.

We have,

[tex]6x-8+4y+5[/tex]

In this expression, the terms are 6x, -8, 4y, 5, variable terms are 6x, 4y and constant terms are -8, 5.

Therefore, the last option is correct, i.e., -8, 5.

pls help and fast i need it done soon

Answers

The percent increase is 75%.
Step-by-step explanation:
Given,
Initial length of Molly's hair = Old value = 20 inches
Length after three years = New value = 35 inches
Change = New value - Old value
Change = 35 - 20 = +15 inches
The positive sign indicates increase.
Percent increase =
Percent increase =
Percent increase =
Percent increase = 75%
The percent increase is 75%.

Answer:

53

Step-by-step explanation:

I hope this helps. I hope its right.

Given that x satisfies the inequality 20x > 33,
find the smallest value of x if x is a prime
number.

Answers

Answer:

2

Step-by-step explanation:

Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)

Answer:

20x > 33 = 2

Step-by-step explanation:

divide 20x by 20 do the same with 33

20x/20 > 33/20

x > 1.65

1 isnt a prime number and the closest prime number to 1.65 is 2

the answer is x > 2

What is the solution of the system.. explain what it means in the solution

Answers

Answer:

The solution is (4,250)

Step-by-step explanation:

This means that when a member of either gym (A or B) signs up for a four-month membership, they pay the same amount - $250.  Hope this helps :)

k+a=500
3k+10a=3,600
find k and a using elimination plss helppp

Answers

Answer:

a=300 and k=200

Step-by-step explanation:

Multiply the first equation by -10,and multiply the second equation by 1.

−10(a+k=500)

1(10a+3k=3600)

Becomes:

−10a−10k=−5000

10a+3k=3600

Add these equations to eliminate a:

−7k=−1400

Then solve−7k=−1400for k:

−7k=−1400 (Divide both sides by -7)

[tex]\frac{-7k}{-7} =\frac{-1400}{-7}[/tex]

Now that we've found k let's plug it back in to solve for a.

Write down an original equation:

a+k=500

Substitute200forkina+k=500:

a+200=500

a+200+−200=500+−200(Add -200 to both sides)

a=300

Hope this helps :)

Convert this equation into the slope intercept form
4x - y = -5

Answers

Answer:

y = 4x + 5

Step-by-step explanation:

4x - y = -5

-4x        -4x

-y = -4x -5

/-1    /-1   /-1

y = 4x + 5

Answer:

Y = -4x + 5

Step-by-step explanation:

-4x from both sides

-y = -4x -5

divide both side by -1

y = -4x + 5

brainliest?

please help me on this will give you brainliest

Answers

There! Finally lol. Pls correct me if I’m wrong but I think I got it

yy-intercept is (0,6)(0,6)left parenthesis, 0, comma, 6, right parenthesis and slope is 333.

Answers

Answer:

y=333x+6

Step-by-step explanation:

y=mx+b

change m to the slope

and b to the y cept'

answers for the 2 boxes please :)​

Answers

Answer:

x=-11 y=-4

Step-by-step explanation:

4x−6y=−20;−2x+4y=6

once you have this, try and find any number. i find trial and error easy if you can find the answer

What number is 75% of 300?
A. 36
B. 22.5
C. 2250
D. 225

Answers

225

What is 75 percent of 300.? = 225.

What could be a common denominator for 1 1/2 and 3/4

Answers

Answer:

1 1/2 =36/24. And 3/4 is already a common denominator

Step-by-step explanation:

Solve 1/3b + 57 = 3
What is the constant on the
variable side? What is its
inverse? Do to both sides.
What is the coefficient?
Divide on both sides.

Answers

Answer: b=-18

Step-by-step explanation:

1/3b+57=3

Subtract 57

1/3b=-54

Divide by 1/3 (basically you’re dividing by 3)

p=-18

Can a triangle with side lengths of 15, 13, and 6 can be classified as a right triangle? ? and why?​

Answers

Answer:

The triangle cannot be classified as right angled triangle.

Step-by-step explanation:

Given measurements are;

15, 13 and 6.

In right angle triangle, the sum of square of lengths of smaller sides is equal to square length of larger side.

Therefore,

[tex](6)^2 + (13)^2 = (15)^2\\36 + 169 = 225\\205 \neq 225[/tex]

Hence,

The triangle cannot be classified as right angled triangle.

A system of equations is shown below.
2x + 3y = 12
x = -2y + 10
What is the solution to this system?

Answers

Step-by-step explanation:

[tex]2x + 3y = 12 \\ x = - 2y + 10 \\ 2( - 2y + 10) + 3y = 12 \\ - 4y + 20 + 3y = 12 \\ - y = - 8 \\ y = 8 \\ x = - 2y + 10 \\ x = - 2 \times 8 + 10 = - 6 \\ [/tex]

(-6 , 8)

Help please!! It’s kinda easy so help!!

Answers

Answer:

See below

Step-by-step explanation:

You could leave 47:3 as the improper fraction [tex]\frac{47}{3}[/tex] or the mixed number [tex]15 \frac{2}{3}[/tex].

Answer:

Fraction: [tex]\frac{47}{3}[/tex] .  Mixed fraction: [tex]15\frac{2}{3}[/tex].

Step-by-step explanation:

Ratio = Numerator : Denominator

Using the above information, the ratio 47:3 will be [tex]\frac{47}{3}[/tex] when written as a fraction.

The mixed fraction will be [tex]15\frac{2}{3}[/tex].

Hope this helps!

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