After a parade, a group of volunteers is helping to pick up the trash along a 2-mile stretch of a road. The group decides to divide the length of the road so that each volunteer is responsible for cleaning up equal-length sections. Find the length of a road section for each volunteer if there are 8 volunteers

Answers

Answer 1

Answer: 0.25 miles

Step-by-step explanation:

When solving a word question, look for certain words that tell you what you should be solving for, and how to solve it.

In this problem, the group DIVIDES the length of the road EQUALLY, which tells you that in order to solve the problem, you must divide the length of the road by the number of volunteers.

The road is 2 miles long, and there are 8 volunteers, so

8/2 = 0.25

Thus, each person must clean 0.25 miles of road.

Answer 2

Using proportions, it is found that the length of road section for each volunteer will be of 0.25 miles.

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

This question is solved by proportions, using a rule of three to find the length of the road assigned to each volunteer, as each volunteers will be assigned an equal length of the road.In total, the length of the road is of 2 miles. Thus, 8 volunteers are responsible for 2 miles. For how many miles will a single volunteer be responsible?

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

The rule of three is given by:

8 volunteers - 2 miles.

1 volunteer - x miles

Applying cross multiplication:

[tex]8x = 2[/tex]

[tex]x = \frac{2}{8}[/tex]

[tex]x = \frac{1}{4}[/tex]

[tex]x = 0.25[/tex]

The length of road section for each volunteer will be of 0.25 miles.

A similar problem is given at https://brainly.com/question/14136767


Related Questions

I really need help with this question!!

Answers

X=3 and y=-2 hope this helps

Explain why the slope of line is 26.

Answers

Answer:

Your question is lacking some details.

However, slope is determined by rise over run. You can get the rise by subtracting the change in y-values (coordinates) and the rise by subtracting the change in x-values (coordinates) .

Having 26 as slope means that the slope has gone up 26 units in the coordinate plane then 1 unit to the right.

Step-by-step explanation:

what am I supposed to do here? I need help

Answers

Answer:

B = 5.5

Step-by-step explanation:

Take 5 to R.H.S,

4b=22,

b=22/2,

b=5.5

what is the answer to 8-5x=-37

Answers

Answer:

x=9

Step-by-step explanation:

Subtract 8 from both sides.

−5x=−37−8

Subtract 8 from −37 to get −45.

−5x=−45

Divide both sides by −5.

x= -45/-5

Divide −45 by −5 to get 9.

x=9

Answer:

9

Step-by-step explanation:

Step 1:

8 - 5x = - 37       Equation

Step 2:

8 = - 37 + 5x     Add 5x on both sides

Step 3:

45 = 5x      Add 37 on both sides

Step 4:

x = 45 ÷ 5     Divide

Answer:

x = 9

Hope This Helps :)

The soccer field at a park is 9,000 square yards. The soccer field takes up 6 2/5 square inches on the map of the park. How many square yards does 1 square inch on the map represent? Show your work. Help me pls

Answers

Answer: 1406.25

Step-by-step explanation:

The soccer field at a park is 9,000 square yards. The soccer field takes up 6 2/5 square inches on the map of the park. How many square yards does 1 square inch on the map represent? Show your work. Help me pls

Given that:

Area of soccer field = 9000 sq yards

Soccer field takes up 6 2/5 square inches on the map of park

Hence,

9000 yd² = 6 2/5 in²

Let 1 in² on map = m

9000 yd² = 32/5 in² - - - (1)

m = 1 in² - - - (2)

Cross multiply ;

6.4 * m = 9000

m = 9000/6.4

m = 1406.25

Hence,

1 in² on map = 1406.25 feet²

900

HELP ME MANN I HATE MATH

Answers

Answer:

$12 a week

Step-by-step explanation:

If he gets paid $168 for 14 weeks, to find 1 week's worth, divide 168 by 14 to get 12.

Answer:

Don't hate math because math is very important in our lives

Step 3: 2x > 10 Step 4: x > 5 What property justifies the work between step 3 and step 4? A. division property of inequality B. inverse property of multiplication C. subtraction property of inequality D. transitive property of inequality

Answers

Answer:

A. Division property of inequality.

Step-by-step explanation:

Let be [tex]2\cdot x > 10[/tex], we proceed to show the appropriate procedure to step 4:

1) [tex]2\cdot x >10[/tex] Given

2) [tex]x > 5[/tex] Compatibility with multiplication/Existence of multiplicative inverse/Associative property/Modulative property/Result. (Division property of inequality)

In consequence, the division property of inequality which states that:

[tex]\forall\, a, b, c \in \mathbb{R}[/tex]. If [tex]c > 0[/tex], then:

[tex]a> b\,\longrightarrow a\cdot c > b\cdot c \,\lor\, a<b \longrightarrow a\cdot c < b\cdot c[/tex]

But if [tex]c < 0[/tex], then:

[tex]a> b\,\longrightarrow a\cdot c < b\cdot c \,\lor\, a<b \longrightarrow a\cdot c > b\cdot c[/tex]

Hence, correct answer is A.

For any two integers a and b, (a + b)² = a² + b²

Answers

Answer:

wrong

Step-by-step explanation:

(a+b)^2=(a+b)(a+b)

=a(a+b)b(a+b)

=a^2+ab+ab+b^2

=a^2+2ab+b^2

i hope it helps you

what is the missing term?
1. (x+2)^2 = __ +4x+4
2. (2x-3)^2 = 4x^2+__+9y^2
3. (3x+4)^2 = 9x^2 + 24x+__
4. (x-y)^2= __-2xy+y^2
5. (2x+3y)^2 = 4x^2+__+9y^2

Answers

Answer:

see explanation

Step-by-step explanation:

The general expansion of (a + b)² is

(a + b)² = a² + 2ab + b²

Applying this to the following expansions

(1)

(x + 2)² = x² + 2(2x) + 2² = x² + 4x + 4 ← missing term is x²

(2)

(2x - 3)² = (2x)² + 2(2x)(- 3) + 3² = 4x² - 12x +9 ← missing term is - 12x

(3)

(3x + 4)² = (3x)² + 2(3x)(4) + 4² = 9x² + 24x + 16 ← missing term is 16

(4)

(x - y)² = x² + 2(x)(- y) + y² = x² - 2xy + y² ← missing term is x²

(5)

(2x + 3y)² = (2x)² + 2(2x)(3y) + (3y)² = 4x² + 12xy + 9y² ← missing term is + 12xy

Brittany will be working full time this summer to save for her goal of having 10,000 by the time she is 21. Brittany has an account of 3.5% interest, compounded monthly. She'll turn 17 at the end of the summer. About how much will Brittany have to deposit so that. Her money can grow into 10,00 by the time she's 21?

Answers

Answer:

$ 8,695.35

Step-by-step explanation:

This is a compound interest question

Amount after t years = A = P(1 + r/n)^nt

Where P = Initial Amount saved

r = interest rate

t = time in years

n = compounding frequency

A = 10,000

r = 3.5 %

t = 21 - 17 = 4 years

n = Compounded monthly = 12

Step 1

Converting R percent to r a decimal

r = R/100 = 3.5%/100 = 0.035 per year.

P = A / (1 + r/n)^nt

Solving our equation:

P = 10000 / ( 1 + (0.035/12)^12 ×4 =

P = $8,695.35

The principal investment required to get a total amount, principal plus interest, of $10,000.00 from interest compounded monthly at a rate of 3.5% per year for 4 years is $8,695.35.

calculate the area of the shaded region at right. use the appropriate units.​

Answers

to do this, you most likely have to multiply that numbers that are probably on the sides of whatever.

A store sells two types of toys, A and B. One unit of toys A yields a profit
of $2, while a unit of toys B yields a profit of $3. The store owner, Anthony, estimates that no more than 2000 toys will be sold every month. Anthony pays $8 and $14 for each one of toy A and B respectively. He also does not plan to invest more that $25,000 in inventory of these toys. Identify the variables.

x = profit
y = toys

x = Toy A
y = Toy B

x = Toy A
y = profit

x = Toy B
y = Toy A

Answers

Answer:

Step-by-step explanation:

a b

Chris correctly measured the length of a line segment and his answer to the nearest centimeter. If the rounded measurement is 6cm, what would the most accurate statement about the actual measure of the line segment be?​

Answers

Answer:

The most accurate statement is that the actual measure of the line segment is between 5.5 cm and 6.49 cm

Step-by-step explanation:

Here, given the measurement of the line segment rounded to the nearest cm as 6 cm, we want to give the most accurate statement about the actual measure

What we need here is the set of numbers which can be rounded to 6 cm

From 5.5 cm to 6.49 cm , all the measurements here can be rounded up to 6 cm

So the most accurate statement will be that the actual measure of the line segment is between 5.5 cm and 6.49 cm

The most accurate statement about the actual measure of the line segment be is between 5.56 to 6.49.

The measurement of the line segment rounded to the nearest cm as 6 cm, we need to give the most accurate statement.

What is a line segment?

A line segment is a part of a line that connects two points which are distinct endpoints and contain every point on it.

From 5.56 cm to 6.49 cm, all the measurements here can be rounded up to 6 cm.

So, the most accurate statement will be the actual measure of the line segment between 5.56 cm and 6.49 cm.

Learn more about a line segment here:

https://brainly.com/question/25727583

−2(−4n + 1)+5(25n − 8)=−62.

Answers

Answer:

bet

Step-by-step explanation:

Answer:

n=-20/133

Step-by-step explanation:

Use the distributive property to multiply −2 by −4n+1.

8n−2+5(25n−8)=−62

Use the distributive property to multiply 5 by 25n−8.

8n−2+125n−40=−62

Combine 8n and 125n to get 133n.

133n−2−40=−62

Subtract 40 from −2 to get −42.

133n−42=−62

Add 42 to both sides.

133n=−62+42

Add −62 and 42 to get −20.

133n=−20

Divide both sides by 133.

n=-20/133

Fraction −20/133≈−0.15037594 can be rewritten as −20/133 ≈−0.15037594 by extracting the negative sign.

n=−20/133

Please help me with all these questions will mark as brainlists

Answers

Answer:

The fourth one Its tell you to add or miners or multiple

Step-by-step explanation:

And then the rest is telling you to explain you answer using your own words.

Using the above​ technique, find the equation of the line containing the points (-2,7) (4,-2)

Answers

Equation of a line = y = mx +b

m = slope = change in y over the change in x

b = y intercept:

m = (-2 - 7) / (4 - -2) = -9/6 = -3/2

Now you have y = -3/2x + b

Use one of the points, replace y and x and solve for b:

7 = -3/2(-2) + b

Simplify:

7 = 3 + b

Subtract 3 from both sides:

b= 4

The equation is y = -3/2x + 4

Step-by-step explanation:

Hey there!.

The equation of a st.line passing through points (-2,7) and (4,2) is;

[tex](y - y1) = \frac{y2 - y1}{x2 - x1} (x - x1)[/tex]

Put all values.

[tex](y - 7) = \frac{2 - 7}{4 + 2} (x + 2)[/tex]

Simplify it to get answer.

[tex](y - 7) = \frac{ - 5}{6} (x + 2)[/tex]

[tex]6(y - 7) = - 5(x + 2)[/tex]

[tex]6y - 42 = - 5x - 10[/tex]

[tex]5x + 6y - 42 + 10 = 0[/tex]

[tex]5x + 6y - 32 = 0[/tex]

Therefore the required equation is 5x+6y-32=0.

Hope it helps...

what is the first integer to the left of -6.1 on the number line?

Answers

Answer:   -7

The integer to the right is -6

See the diagram below.

Help please It would mean a lot

Answers

the answer is 3/5

if that's not right I apologize

Answer:

3/5

Step-by-step explanation:

When dividing fractions, you change the division sign to multiplication and also flip the fraction that you are multiplying with.

So: 2/4 would become 4/2

3/10 x 4/2

12/20

Highest common factor between 12 and 20 is 4.

Divide both sided by 4:

3/5

Which of the following quadratic equations has no real solutions?
A 3x2 + 12x + 12 = 0
B 3x2 – 3x - 18 = 0
3x2 + 2x + 1 = 0
D
3x2 – 3 = 0

Answers

Answer:

C. 3x^2 + 2x + 1

Step-by-step explanation:

A. 12^2 - (4*3*12) = 0 (there's one solution.)

B. (-3)^2 - (4*3*-18) = 255 (there're 2 real solutions.)

D. 3^2 - (4*0*-3) = 9 (there're 2 real solutions.)

C. 2^2 - (4*3*1) = -18 ✅✅

if b^2 - 4ac = negative then we can say that there isn't any real solution for the equation.

I will give 15 points please help!

Answers

Answer:

b

Step-by-step explanation:

If "a" varies directly as "b" and inversely as "c". If a=16 when b=12 and c=6, find "a" when b=28 and c=4. *

Answers

Answer:

When b = 28 and c = 4, then a = 56

Step-by-step explanation:

We need to write the equation first

This is an example of a combined variation

if a varies directly as b and inversely as c;

then a = bk/c

where k is the constant of proportionality

We find k first;

16 = (12 * k)/6

k = (6 * 16)/12 = 8

We now want to find a

a = kb/c

a = (8 * 28)/4 = 7 * 8 = 56

Factor and Solve.
x^4-11x^2+18=0

Answers

Last option is the correct answer

x= √2, −√2, 3, −3

Dan’s school is planning a field trip to an art museum. Bus company A charges a $60 rental fee plus $4 per student Bus company B charges $150 plus $2 per student. How many students would have to go for the cost to be the same?

Answers

Answer: 45 students

Step-by-step explanation:

Company A’s charge can be represented by: 4s+60

Company B’s charge can be represented by: 2s+150

s is the charge per student

To find the cost at which they are the same, I will set both equations equal to each other.

4s+60=2s+150

-2s -2s

2s+60=150

-60 -60

2s=90 Divide both sides by 2

s=45

So when 45 students are going, the cost for both companies are the same.

At a local car wash Josh can vacuum 3 cars in 17 minutes. How many cars can he vacuum in an hour?​

Answers

Answer:

10 cars

Step-by-step explanation:

he can vacuum 3 cars in 17 minutes

so in 1 hour its (60/17) x 3

Or you can do 17/3 for how long it takes to clean 1 car

then divide 60 by that number, you round down for both since you don't complete the car if its a decimal

About 11 or 10 cars
60/17 = 3.5
3.5 x 3 = 10.5

How do I find all of the angles for this and what equations would I use to find angle 2,3,4,5,7, &8?​

Answers

Answer:

<2 = supplementary angle=180-110=70

<3 = supplementary angle=180-110=70

<4 = opposite angles=110

<5 = 110 (corresponding angle)

<7 = 70 (corresponding to angle 3)

<8 = 110 (corresponding to angle 4)

Step-by-step explanation:

<2 = supplementary angle=180-110=70

<3 = supplementary angle=180-110=70

<4 = opposite angles=110

<5 = 110 (corresponding angle)

<7 = 70 (corresponding to angle 3)

<8 = 110 (corresponding to angle 4)

You don't need to solve for x to find any of those angles.  If you want to anyway:

4x+10=70

4x=70-10

4x=60

x=60÷4

x=15

PLEASE HELP!!! 20 BRAINLIST

Look at points C and D on the graph:

A coordinate plane graph is shown. Point C is at negative 5 comma negative 1. Point D is at 0 comma 3. A segment connects the two points.

What is the distance (in units) between points C and D? Round your answer to the nearest hundredth.

5.50 units
6.40 units
9.00 units
41.00 units

Answers

Answer:

Im pretty sure its 6.40 units

Step-by-step explanation:

PLEASE ANSWER!
Using the given zero, find one other zero of f(x).
4 - 5i is a zero of f(x).= x4 - 8x3 + 42x2 - 8x + 41.
answers
A)-4 - 5
B)1
C)1-1
D)4 + 5i

Answers

Is the original equation right?

Mira has breakfast at a restaurant. She leaves a 20% tip of $1.80.
What is the price of Mira's breakfast,before tip?

Answers

Answer:          $9.00

.......................................

What is the first step to solve for n

in the following equation?
3n - 7 = 30

Answers

Answer:

n = 37/3

n = 12  1/3

Step-by-step explanation:

Hi there !

3n - 7 = 30

3n = 30 + 7

3n = 37

n = 37/3

n = 12  1/3

Good luck !

What distance did the bus travel???

Answers

Answer:

495km

Step-by-step explanation:

180 km in 4 hours means x km in 11 hours.

Cross multiply and you'll find x as 495 km

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