Select the correct answer. Sean and Colleen are raking leaves in their yard. Working together, they can clear the yard of leaves in 24 minutes. Working alone, it would take Sean 20 minutes longer to clear the yard than it would take Colleen working alone. When c is the number of minutes it would take Colleen to finish the job when working alone, the situation is modeled by this rational equation: How long would it take Colleen alone to clear the yard of leaves?

Answers

Answer 1

Answer:

40 minutes

Step-by-step explanation:

Let c represent the number of minutes it would take colleen to finish the job when he is working alone. Hence, it can be represented by the equation:

[tex]\frac{1}{c}+\frac{1}{c+20} =\frac{1}{24} \\\\Finding\ the\ L.C.M\ of\ the\ fraction\ to\ get\ 24c(c+20)\ as\ the\ L.C.M.\\Multiply\ the\ whole\ equation\ by\ 24c(c+20):\\\\\frac{1}{c}(24c(c+20))+\frac{1}{c+20}(24c(c+20)) =\frac{1}{24}(24c(c+20)) \\\\24c+480+24c=c^2+20c\\\\48c+480=c^2+20c\\\\c^2+20c-48c-480=0\\\\c^2-28c-480=0[/tex]

Solving the quadratic equation to get c gives:

c = -12 and c = 40

Since the time cannot be negative, hence c = 40 minutes.

It would take colleen 40 minutes to clear the yard of leaves alone

Select The Correct Answer. Sean And Colleen Are Raking Leaves In Their Yard. Working Together, They Can

Related Questions

find the measure of the angle indicated

Answers

Answer:

105

Step-by-step explanation:

x + 25 + 80 = 180

x + 105 = 180

x = 75

x + y = 180

75 + y = 180

y = 105

The answer is going to be I05 because it is

find the missing dimension of the cylinder round your answer to the nearest tenth volume = 592ft ³

Answers

Answer:

10ft

Step-by-step explanation:

volume= 502 ft³

or, πr²h= 502ft³

or, h= 502/(π×4²)

or, h= 9.98~10

In a bakery at night, there are some cupcakes with some flies hovering over them. How many cupcakes are there if both the following statements are true: 1. If each fly lands on a cupcake, one fly doesn’t get a cupcake. 2. If two flies share each cupcake, there is one cupcake left out.​

Answers

Cupcakes —> x
Flies —> y

y-x=1 ————1
x-y/2=1 ———1

y-x=x-y/2
2x=3y/2
4x=3x
x=3y/4
Substitute x in For 1

y-3y/4= 1
y/4=1

y= 4
x=3

Item 2 A company that ships crystal bowls claims that bowls arrive undamaged in 95 percent of the shipments. Let the random variable G represent the number of shipments with undamaged bowls in 25 randomly selected shipments. Random variable G follows a binomial distribution with a mean of 23.75 shipments and a standard deviation of approximately 1.09 shipments. Which of the following is the best interpretation of the mean?

Answers

2.05 i hope this helps

What are the integer solutions to the inequality below?−4≤x<0

4 boxes again​

Answers

Answer:

-4/-3/-2/-1

Step-by-step explanation:

TGGGGGGGFFFGGGGGGGHTTGTGTGGGHTTGTGTGGTTG

Step-by-step explanation:

TTTGTGTGGGGGGTGDSDJSDQWINE33DHJJJK

Simplify the expression: - ( 4x + 10)

Answers

Answer:

-4x-10

hope it help

Answer:

-4x-10

Step-by-step explanation:

please help_________​

Answers

Answer:

[tex]11\sqrt{797}\pi[/tex]

Step-by-step explanation:

[tex]A=\pi r \sqrt{h^2+r^2}[/tex]

the radius is 22/2 = 11 in

h is 26 in

substitute: [tex]\pi \left(11\right)\sqrt{\left(26^2\right)+\left(11^2\right)}[/tex]

= [tex]11\sqrt{797}\pi[/tex]

Answer:

286π in²

Step-by-step explanation:

The lateral area (A) of the cone is calculated as

A = πrs ( r is the radius and s the slant height )

Here r = 22 ÷ 2 = 11 and s = 26 , then

A = π × 11 × 26 = 286π in²

Round your answer to the nearest percent.

Answers

Answer:

32%

Step-by-step explanation:

[tex]71 \div 219 = 0.32[/tex]

If m and n are the zeroes of the polynomial 6y 2 -7y – 2, find a polynomial whose zeroes are 1/m and 1/n

Answers

Answer:

[tex]y^2-\frac{7}{2}y+3[/tex]

Step-by-step explanation:

Given polynomial is,

6y² - 7y - 2

Fro the zeros of the given polynomial,

6y² - 7y - 2 = 0

6y² - 4y - 3y - 2 = 0

2y(3y - 2) - 1(3y - 2) = 0

(2y - 1)(3y - 2) = 0

(2y - 1) = 0

y = [tex]\frac{1}{2}[/tex]

(3y - 2) = 0

y = [tex]\frac{2}{3}[/tex]

Therefore, zeros of this polynomial are m = [tex]\frac{1}{2}[/tex] and n = [tex]\frac{2}{3}[/tex]

If a polynomial has zeros as [tex]\frac{1}{m}[/tex] and [tex]\frac{1}{n}[/tex] then the zeros will be [tex]\frac{3}{2}[/tex] and 2.

Polynomial will be,

[tex](y-\frac{3}{2})(y-2)[/tex]

= [tex]y(y-2)-\frac{3}{2}(y-2)[/tex]

= [tex]y^2-2y-\frac{3}{2}y+3[/tex]

= [tex]y^2-\frac{7}{2}y+3[/tex]

please help. will mark brainliest

Answers

i’m so bad at math so i can’t help sorry

Please help if you know the answer please

Answers

Give me Brainly first

Find the equation of this line.

Answers

9514 1404 393

Answer:

  y = 1/2x + 1

Step-by-step explanation:

The slope of the line is "rise"/"run", where "rise" is the vertical distance between two points separated by a horizontal distance of "run".

Here, two points are marked that are 4 units apart horizontally (run = 4). The right-most point is 2 units above the left-most point (rise = 2). The slope between these points is ...

  m = rise/run = 2/4 = 1/2

The line crosses the y-axis at y=1, so the "y-intercept" is b=1.

These values can be put into the "slope-intercept form" equation for a line.

  y = mx + b . . . . . . line with slope m and y-intercept b

  y = 1/2x + 1 . . . . . matches the required answer form

Marriane can say hello in more than 7 languages. Which number line could represent this situation?

Answers

Answer:

A) x > 7

Step-by-step explanation:

Since it's more than, the inequality would be >

Since it's >, that means it's an open circle

So,

x > 7

Prove that Quadrilateral ABCD is a Rhombus
show all the work

Answers

Answer:

Say that the shape is a parallelogram with equal length sides;

AB = CD

ABD = CDB as the bisecting lines (you have drawn) prove ABD : CDB are both isosceles triangles.

Therefore ABD = ADB

Draw the shape's diagonals as each others' perpendicular bisectors;  

Draw the shape's diagonals bisect both pairs of opposite angles.

If two non congruent angles were given in example 70 degree and 110 degree then say M ∴ = (1/2 )(M∴BAD) = 35  =  (1/2 )(M∴BEF) = 35

and do the same for  1/2(M∴ABC) = 55 = 1/2 (M∴CDA) = 55

how much would a $75 video game be with 8.25% sale tax​

Answers

Answer:

1 Simplify 75\times 875×8 to 600600.

600\div 25

600÷25

2 Simplify 600\div 25600÷25 to 24

24

Step-by-step explanation:


A population of 1500 bacteria is growing at a rate of 10% each day. What is the domain of the population of growing bacteria?

Answers

Answer:

The answer is: the domain of the function that show the population-growing per day is

\mleft{

[tex]x \geqslant 0[/tex]

\mright}

Because the domain is the time, in this cases the days.

Joe ran 3 miles yesterday and wants to run at least 15 miles
this week. Write an inequality that can be used to determine
the additional number of days Joe must run this week if each
run is 3 miles. Then solve the inequality.

PLEASE HELP MEEEEEE

Answers

Answer: 3(x)≥15 →x≥5

Step-by-step explanation:

Set it up with x as the number of days. Then multiply that by 3, so that you get 3(x). This will show that for an x amount of days, you ran 3 miles. then set it to MORE THAN or EQUAL TO 15. Then divide both sides by 3, and you get the above answer.

plaz anser kwik!!!!!!

Answers

Answer:

14

Step-by-step explanation:

First we substitute x for 6 and y for 2.4

4(6+2.4)

______    -> 33.6 / 2.4 -> 14

  2.4

The answer is B) 14 because when you plug everything in you get 14.


Explanation:

4(6+2.4)/2.4 = 14

can anyone help me to sove it?​

Answers

Iam not very sure but i think y=22.5

What's the missing angle? ​

Answers

Answer:

125 and 55

Step-by-step explanation:

The total angle degree of (2x+3) and (x-6) is 180. So, you add both, and set the equation equal to 180 degrees.

2x+3+x-6=180

3x-3=180

3(x-1)=180

x-1=60

x=61

Substitute that for your angles, and you get your answers.

Find the missing side

Answers

Answer:

15.9

Step-by-step explanation:

because the x side it's the same as 15 but it's slanted a little bit out so there is a bit more to 15

Answer:

A

Step-by-step explanation:

Emily bought 63 yards of fabric to make curtains.

How many inches of fabric did Emily buy?

Emily bought _________ inches of fabric.

Answers

Answer:

2268 inches of fabric

Step-by-step explanation:

There are 36 inches in 1 yard. Therefore, we multiply 36 by 63 to get an answer of 2268.

Therefore, Emily bought 2268 inches of fabric

Answer:

2268 inches of fabric

Step-by-step explanation:

There are 3 feet in a yard

63*3 = 189 feet

To convert feet to inches, multiple by 12

189*12 = 2268

What is the total surface area of the rectangular pyramid whose net is shown?​

Answers

Answer: 2203.96

Step-by-step explanation:

Quick Question!! Help me out :)
S is the midpoint of RT. T has coordinates (-10,12), and S has coordinates (3,7). Find the coordinates of R.​

Answers

Answer:

R:  (16, 2)

Step-by-step explanation:

Let (x, y) be the point R

(x - 10)/2 = 3       and (y + 12)/2 = 7

x - 10 = 6                     y + 12 = 14

x = 16                           y = 2

R:  (16, 2)

What is 7x2 - 4 + 6x3 - 4x - X4 in standard form?

A 4 - 4x + 7x2 + 6x3 – X4

B. 46-4 - x) + x2(7 + 6x - x2)
C. X4 + 6x3 + 7x2 - 4x - 4
D. –X4 + 6x3 + 7x2 - 4x - 4
Help ASAP

Answers

Answer:

the answer is b

Step-by-step explanation:

hope I'm right

Answer:

D. –x^4 + 6x^3 + 7x^2 – 4x – 4

Step-by-step explanation:

When writing in standard form you have to put the monomials from greatest to least according to their exponent.

[tex]-x^4+6x^3+7x^2-4x-4[/tex]

The first number is [tex]-x^4[/tex] because 4 is the greatest exponent we see, then comes [tex]+6x^3[/tex] which is next because it has the second greatest exponent. And so on and so on.

How many people were surveyed altogether?



25
50
40
15

Answers

50 people we’re surveyed all together

Please help

Solve for y

Answers

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer: y = 25

Explanation:

2x+5 = 3x - 33

x = 38

2x+5 + 4y-1 = 180

2(38) + 5 + 4y - 1 = 180

y = 25

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Write a system of equations to describe the situation below, solve using elimination, and fill in the blanks.

The student council at Kensington High School is raising money by selling hot apple cider and hot chocolate at this week's games. They sold 42 apple ciders and 13 hot chocolates at the football game, raising a total of $152. They raised $56 at the soccer game by selling 10 apple ciders and 13 hot chocolates. How much is the student council selling each drink for?

The student council is selling apple cider for $ and hot chocolate for $.

Answers

Answer:

C

Step-by-step explanation:

We are given

The student council earned $1.25 for every cup of hot chocolate it sold

and $0.75 for every cup of apple cider it sold

total number of cup is 375

We can see that first term is 1.25x

and we have

The student council earned $1.25 for every cup of hot chocolate

so, to find total cost of hot chocolate , we multiplied 1.25 with x

that's why

x must be the number of cups of hot chocolate sold

So the answer must be C

If a car travels 180 km on 12 liters of gas, how many km per liter does the car get? Express in simplest form.

Answers

Answer:

5 kilo-meters per liter of gas

Step-by-step explanation:

180 divided by 12 would be 180 / 12 = 5 km per liter

(P.S., pls mark me brainliest, and have a nice day)

John is going to the store. His house is located 3 miles south and 4 miles east from the store, as shown below. What is the shortest distance from his house to the store? Explain

Answers

Answer:

5 miles

Step-by-step explanation:

It is a right triangle, with 3 miles down, and 4 miles to the right

the shortest distance would be and southeast line.

Using the Pythagorean theorem, you get:

3^2 + 4^2 = x^2

9 + 16 = x^2

25 = x^2

x = 5

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