Seas and Colleen are raking leaves in their yard. Working together they can clear the yard of leaves in 24 minutes. What kind of long it would take Sean 20 minutes longer to clear the yard dinner with Colleen working alone

Answers

Answer 1

Answer:

Colleen alone to clear the yard of leaves in 40 minutes

Step-by-step explanation:

P.S - The exact question is -

Given - Seas and Colleen are raking leaves in their yard. Working together they can clear the yard of leaves in 24 minutes. What kind of long it would take Sean 20 minutes longer to clear the yard dinner with Colleen working alone

To find - 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?

Proof -

Given that the equation is -

[tex]\frac{1}{c} + \frac{1}{c+20} = \frac{1}{24} \\\frac{c + 20 + c}{c(c+20)} = \frac{1}{24}\\\frac{2c + 20}{c^{2} +20c} = \frac{1}{24}\\24(2c + 20) = c^{2} +20c\\48c + 480 = c^{2} +20c\\28c + 480 = c^{2}\\c^{2} - 28c - 480 = 0\\c^{2} - 40c + 12c - 480 = 0\\c(c - 40) + 12(c - 40) = 0\\(c+12)(c-40) = 0\\c = -12, 40[/tex]

As time can not be negative

So,

we get

c = 40 minutes

∴ we get

Colleen alone to clear the yard of leaves in 40 minutes

Seas And Colleen Are Raking Leaves In Their Yard. Working Together They Can Clear The Yard Of Leaves

Related Questions

what does the model predict for the number of prizes won when you buy 10 tickets?

a - the model predicts that you will win 6 prizes when you buy 10 tickets.
b - the model predicts that you will win 19 prizes when you but 10 tickets.
c - the model predicts that you will win 4 prizes when you buy 10 tickets.
d - the model predicts that you will win 22 prizes when you buy 10 tickets.​​

Answers

Answer:

the answer is b

Step-by-step explanation:

top right corner

Answer:

the answer is b

Step-by-step explanation:

Find x. Round to the nearest tenth if necessary.

Answers

Answer:

1)From ΔACB

tan 36= x/7

x= 7.tan 36

x= 5.086

2) Sin63=Opp/Hyp= 12/x

=>x=12/Sin63°

x= 13.47

3) Sin=x/MP

Sin 15°=x/12x=125 in 15°

x=3.11

hope it helps...

have a great day!!

Solve for a.
ab +c= d

a= b+ c/d
a= b/ (c-d)
a= d-c/ b

Answers

Answer:

[tex]ab + c = d \\ ab = d - c \\ a = \frac{(d - c)}{b} [/tex]

Answer:

A=d-c/b

Step-by-step explanation:

just took the test

3 1/4+3/8equals to what?

Answers

Answer:

6 5/8

Step-by-step explanation:

Answer:

it equals 29/8 you can also write it as 3 5/8

Step-by-step explanation:

first you would convert the mixed fraction to 13/4 then add te two fractions. i hope this helps

pleaseeeehelppppppppp

Answers

Answer:

x = 72.5

Step-by-step explanation:

half of the angle given, so 72.5 degrees.

Gordon is trying to save up $2000 for a new saxophone he makes 12.50 per hour at his job at the coffee shop but he needs to set aside half of his hourly wage to pay his regular bills How many 40-hour weeks will he need to work before he can afford the saxophone?

A. 320 Weeks
B. 40 Weeks
C. 8 Weeks
D. 6.25 Weeks

Answers

Answer:

he will need to work 8 40-hour weeks.

Explanation:

since gordon has to set aside half of his wage to pay his bills, he can only save $12.50 ÷ 2 = $6.25 for the saxophone.

we can find how much money gordon saves from a 40-hour week by multiplying this by 40: $6.25 × 40 = $250.

now, divide the total amount of money he has to save by the amount he saves each week: $2000 ÷ $250 = 8.

he will need to work 8 40-hour weeks before he can afford the saxophone.

i hope this helps! :D

Find the volume of the sphere

Answers

Answer:

Step-by-step explanation: You take the formula by doing 4×3.14× that number in the sphere, 2 times like for example, take 3 and multiple it 3×3, you take that answer and times it with that answer ^^^ 4×3.14×3 to the second power

Six friends arrive at a party their arrival increases the number of people at the party by 20% in total how many people are now at the party

Answers

Answer:

Step-by-step explanation:

Find the area of the SHAPE™

Answers

Answer:

132

Step-by-step explanation:

28(top rectangle) + 56 (middle rectangle)+ 48 ( which is the combined area of the two triangles) = 132

simplify
[tex] {a}^{3} + {b}^{3} [/tex]

Answers

pretty sure u can not simplify that further since there are no like terms? could be wrong

Answer:

[tex]{a}^{3} + {b}^{3} [/tex]

[tex] = (a + b)( {a}^{2} - ab + {b}^{2} )[/tex]

Hence, simplified

What is
is 1/4 + 9/10y -3/5y +7/8 written in simplest form?

Answers

Answer:

Step-by-step explanation:

[tex]\frac{1}{4}+\frac{9}{10}y - \frac{3}{5}y+\frac{7}{8}\\\\=\frac{1}{4}+\frac{7}{8}+\frac{9}{10}y-\frac{3}{5}y\\\\[/tex]

Combine like terms. 1/4 and 7/8 are like terms and LCD of 4 and 8 is 8

9/10y and -3/5y are like terms and LCD of 10 , 5 is 10

[tex]= \frac{1*2}{4*2}+\frac{7}{8}+\frac{9}{10}y-\frac{3*2}{5*2}y\\\\=\frac{2}{8}+\frac{7}{8}+\frac{9}{10}y-\frac{6}{10}y\\\\=\frac{9}{8}+\frac{3}{10}y[/tex]

Answer:

3 • (4y + 15)

-----------------  

      40  

Step-by-step explanation:

Long explanation get ready

STEP

1

:

           7

Simplify   —

           8

Equation at the end of step

1

:

   1   9      3     7

 ((—+(——•y))-(—•y))+—

   4  10      5     8

STEP

2

:

           3

Simplify   —

           5

Equation at the end of step

2

:

   1   9      3     7

 ((—+(——•y))-(—•y))+—

   4  10      5     8

STEP

3

:

            9

Simplify   ——

           10

Equation at the end of step

3

:

   1      9          3y     7

 ((— +  (—— • y)) -  ——) +  —

   4     10          5      8

STEP

4

:

           1

Simplify   —

           4

Equation at the end of step

4

:

   1    9y     3y     7

 ((— +  ——) -  ——) +  —

   4    10     5      8

STEP

5

:

Calculating the Least Common Multiple :

5.1    Find the Least Common Multiple

     The left denominator is :       4

     The right denominator is :       10

       Number of times each prime factor

       appears in the factorization of:

Prime

Factor   Left

Denominator   Right

Denominator   L.C.M = Max

{Left,Right}

2 2 1 2

5 0 1 1

Product of all

Prime Factors  4 10 20

     Least Common Multiple:

     20

Calculating Multipliers :

5.2    Calculate multipliers for the two fractions

   Denote the Least Common Multiple by  L.C.M

   Denote the Left Multiplier by  Left_M

   Denote the Right Multiplier by  Right_M

   Denote the Left Deniminator by  L_Deno

   Denote the Right Multiplier by  R_Deno

  Left_M = L.C.M / L_Deno = 5

  Right_M = L.C.M / R_Deno = 2

Making Equivalent Fractions :

5.3      Rewrite the two fractions into equivalent fractions

Two fractions are called equivalent if they have the same numeric value.

For example :  1/2   and  2/4  are equivalent,  y/(y+1)2   and  (y2+y)/(y+1)3  are equivalent as well.

To calculate equivalent fraction , multiply the Numerator of each fraction, by its respective Multiplier.

  L. Mult. • L. Num.       5

  ——————————————————  =   ——

        L.C.M             20

  R. Mult. • R. Num.      9y • 2

  ——————————————————  =   ——————

        L.C.M               20  

Adding fractions that have a common denominator :

5.4       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

5 + 9y • 2     18y + 5

——————————  =  ———————

    20           20  

Equation at the end of step

5

:

  (18y + 5)    3y     7

 (————————— -  ——) +  —

     20        5      8

STEP

6

:

Calculating the Least Common Multiple :

6.1    Find the Least Common Multiple

     The left denominator is :       20

     The right denominator is :       5

       Number of times each prime factor

       appears in the factorization of:

Prime

Factor   Left

Denominator   Right

Denominator   L.C.M = Max

{Left,Right}

2 2 0 2

5 1 1 1

Product of all

Prime Factors  20 5 20

     Least Common Multiple:

     20

Calculating Multipliers :

6.2    Calculate multipliers for the two fractions

   Denote the Least Common Multiple by  L.C.M

   Denote the Left Multiplier by  Left_M

   Denote the Right Multiplier by  Right_M

   Denote the Left Deniminator by  L_Deno

   Denote the Right Multiplier by  R_Deno

  Left_M = L.C.M / L_Deno = 1

  Right_M = L.C.M / R_Deno = 4

Making Equivalent Fractions :

6.3      Rewrite the two fractions into equivalent fractions

  L. Mult. • L. Num.      (18y+5)

  ——————————————————  =   ———————

        L.C.M               20  

  R. Mult. • R. Num.      3y • 4

  ——————————————————  =   ——————

        L.C.M               20  

Adding fractions that have a common denominator :

6.4       Adding up the two equivalent fractions

(18y+5) - (3y • 4)     6y + 5

——————————————————  =  ——————

        20               20  

Equation at the end of step

6

:

 (6y + 5)    7

 ———————— +  —

    20       8

STEP

7

:

Calculating the Least Common Multiple :

7.1    Find the Least Common Multiple

     The left denominator is :       20

     The right denominator is :       8

       Number of times each prime factor

       appears in the factorization of:

Prime

Factor   Left

Denominator   Right

Denominator   L.C.M = Max

{Left,Right}

2 2 3 3

5 1 0 1

Product of all

Prime Factors  20 8 40

     Least Common Multiple:

     40

Calculating Multipliers :

7.2    Calculate multipliers for the two fractions

   Denote the Least Common Multiple by  L.C.M

   Denote the Left Multiplier by  Left_M

   Denote the Right Multiplier by  Right_M

   Denote the Left Deniminator by  L_Deno

   Denote the Right Multiplier by  R_Deno

  Left_M = L.C.M / L_Deno = 2

  Right_M = L.C.M / R_Deno = 5

Making Equivalent Fractions :

7.3      Rewrite the two fractions into equivalent fractions

  L. Mult. • L. Num.      (6y+5) • 2

  ——————————————————  =   ——————————

        L.C.M                 40    

  R. Mult. • R. Num.      7 • 5

  ——————————————————  =   —————

        L.C.M              40  

Adding fractions that have a common denominator :

7.4       Adding up the two equivalent fractions

(6y+5) • 2 + 7 • 5     12y + 45

——————————————————  =  ————————

        40                40  

STEP

8

:

Pulling out like terms :

8.1     Pull out like factors :

  12y + 45  =   3 • (4y + 15)

(2, 4) after a reflection over the x-axis?

Answers

(2,-4) is the reflection of the x-axis

Find the surface area of the prism,
2.5 m
2 m
4 m
4 m

Answers

Answer:

68

Step-by-step explanation:

2.5×4×2=20

2×4×2=16

4×4×2=32

20+16+32=68

t = p + 50
The variable p represents the number phone calls she routes, and the variable t represents
the number of minutes she is on the phone. In all, how many phone calls does Shivani have
to route to spend a total of 93 minutes on the phone?

Answers

The only way i can think of working out this question is this:

t = time p = phone calls

insert what we know:-

93 = p + 50

make P on its own:-

take away 50 from each side

43 = p

switch (you don’t HAVE to do this) :-

p = 43

So, shivani has to route a total of 43 phone calls to spend a total of 93 minutes on the phone.

So who’s tryna help me ☝

Answers

Answer:

4

Step-by-step explanation:

5+3=8 and 5-3=2 which is 8/2=4

Hopes this helps:

Answer: 4

1. Simplify 5 + 3 to 8.
8 / 5 - 3


2. Simplify 5 - 3 to 2.
8 / 2


3. Simplify.
4

Which expression is equivalent to root 36/25

Answers

Answer:

6/5

Step-by-step explanation:

√36/25 =6/5

because root 36 is 6 and root 25 is 5.

The equivalent expression is 6/5

Please help ! Please help!

Answers

X=34 because they are alternate angles

What is 672 divided by 12?

Answers

Answer:

56

Step-by-step explanation:

Answer:

56

Step-by-step explanation:

672 ÷ 12 = 56

I need help asap !! Thank youuuuuuuuuuu

Answers

Answer:

Step-by-step explanation: 107.49/36 would give you 2.985833...

the question says to the nearest cent, so the answer would be $2.98

HURRY TIMED!!!!

Find the equation of the graphed line.
On a coordinate plane, a line goes through (0, negative 6) and (6, 0).
a.
y = negative x minus 6
c.
y = x minus 6
b.
y = x + 6
d.
y = negative x + 6

Answers

Answer:

y = x -6

Step-by-step explanation:

First find the slope

m= ( y2-y1)/(x2-x1)

   = (0- -6)/(6-0)

   =( 0+6)/(6-0)

   = 6/6

   = 1

The slope is 1 and the y intercept is -6

The slope intercept form is

y = mx+b where m is the slope and b is the y intercept

y = x -6

Answer:

the answer is C

Step-by-step explanation:

y = x -6

Factor the expression completely.
35 + 2x2 – 24

Answers

Answer:

[tex]2x^{2} +11[/tex] cannot be simplified further

Step-by-step explanation:

What are the mean,median and range for the monthly sales of the product?

Answers

Answer:

Option D

Step-by-step explanation:

mean=(∑x/N)=(1100+5000+2000+10100+8000/6)

=(34200/6)=$5700

________________-

median: =>

$1100,$2000,$5000,$8000,$8000,$10100

==>(5000+8000/2)=$6500

_______________

Range=maximum-minimum=10100-1100

==>$9000

so your answer is Option D

hope it helps...

have a great day!!

please help me, i will mark brainliest

Answers

Answer:

B, C, E

Step-by-step explanation:

Answer:

C and B

Step-by-step explanation:

The sign means greater than or equal to. -4 is greater than -5, so check that, 5 is definitely greater than -5, so check that.


Ethan ran 11 miles in 2 hours. What is the unit rate of miles to hour?
A. 5.5 miles per hour
B. 0.18 miles per hour
C. 5.5 hours per mile
D. 0. 18 hours per mile

Answers

Answer:

A

Step-by-step explanation:

11miles/2hours

11 divide by 2 = 5.5 miles/1 hour

5.5 miles per hour

Answer:

5.5 miles per hour

Step-by-step explanation:

The number of points in the first five games of the basketball season are listed below. What is the mean number of points scored?

Answers

Answer:

D. 19

Step-by-step explanation: I got it correct, if you need more of an explanation go ahead and contact me by commenting below. (If you have any complaints, go ahead and tell me). Thank you & have a great day! :)

What is the value of x in the equation -5/8x=-160 ​

Answers

Answer: x=256

Step-by-step explanation: Hope this help :D

Let's solve your equation step-by-step.

−5/8x

=−160

Step 1: Multiply both sides by 8/(-5).

(8/-5)*(−5/8x)=(8/−5)*(−160)

X=256

A traoezoid has basses of 36 1/2 noches and 13 1/2 noches and a height of 10 1/2 inches.What is the área of the trapezoid in square inches?​

Answers

Answer:

Area of trapezoid = 262.5 inches²

Step-by-step explanation:

Given:

Larger Base = [tex]36\frac{1}{2}[/tex] inches = 36.5 inches

Smaller Base = [tex]13\frac{1}{2}[/tex] inches = 13.5 inches

Height of trapezoid =  [tex]10\frac{1}{2}[/tex] inches = 10.5 inches

Find:

Area of trapezoid

Computation:

Area of trapezoid = [Sum of parallel line / 2]Height

Area of trapezoid = [(a+b) / 2]h

Area of trapezoid = [(36.5 + 13.5) / 2]10.5

Area of trapezoid = [(50) / 2]10.5

Area of trapezoid = [25]10.5

Area of trapezoid = 262.5 inches²

In a circle with radius 3.4, an angle measuring 9.6 radians intercepts an arc. Find the
length of the arc to the nearest 10th.

Answers

Answer:

32.6

Step-by-step explanation:

S=3.4(9.6)

S=32.64≈32.6

Which of the following is NOT an example of a right angle?

A.The corner of a door

B.The corner of a book

C.The point of a pencil

D.The corner of a piece of notebook paper

Answers

Answer:

C.........................

Answer:

c.The point of a pencil if u go and check all of the other stuff are right triengle the point of a pencil is  like an acute trienagle

Step-by-step explanation:

Plz help if correct ill give Brainlyest

Answers

Answer:

x=21

Step-by-step explanation:

x=(16.8 * 2.5) /2=21

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