Dan can dust the house in 8 hours. If Mary helps, it takes them 4 hours. Without help, how long would it take Mary to complete this job

Answers

Answer 1

Answer:

8 hours

Step-by-step explanation:

when sheʻs helping him theyʻre working together so 8/2= 4

when sheʻs working alone itʻll be 4 x 2 =8

Answer 2
Answer:  8 hours

Explanation:

Let's say we measure the job in terms of square feet. So let's say the house is 320 square feet.

If Dan can dust the house in 8 hours on his own, then his unit rate is 320/8 = 40 sq ft per hour.

After 4 hours, he can dust 4*40 = 160 sq ft of the house. This leaves 320-160 = 160 sq ft for Mary to handle.

Her unit rate is (160 sq ft)/(4 hrs) = 40 sq ft per hour. It's a coincidence that the two people happen to have the same unit rate (that won't always be the case). Because her unit rate is identical to Dan's rate, this means she takes the same amount of time to get the job done if she works alone.

Side note: this all assumes that the two workers do not hinder one another, or get in each others way, in any fashion. So in a sense, they split up the house down the middle.


Related Questions

This is geometry and i hate it and i need the answer.

Answers

Answer:

B

Step-by-step explanation:

Since the line bisect PQ then the length of the left segment must be equal to the right segment.

Hence

[tex]5x-3 = 11 -2x\\5x + 2x = 11 +3\\7x = 14\\x = 2[/tex]

When x = 2 we have

[tex]PM = 5(2) -3 = 10 -3 =7.[/tex]

So the answer is B

Answer:

b. B

Step-by-step explanation:

PM = RM

[tex]5x - 3 = 11 - 2x[/tex]

[tex]5x + 2x = 11 + 3[/tex]

[tex]7x = 14[/tex]

[tex]x \times 2[/tex]

MQ = [tex]11 - 2x[/tex]

[tex]11 - 2 \times 2[/tex]

[tex]11 - 4[/tex]

[tex] = 7[/tex]

Customers of a phone company can choose between two service plans for long distance calls. The first plan has a $29 monthly fee and charges an additional $0.13 for each minute of calls. The second plan has an $11 monthly fee and charges an additional $0.17 for each minute of calls. For how many minutes of calls will the costs of the two plans be equal?

Answers

Answer:
With 250 minutes of calls the cost of the two plans is the same

Step-by-step explanation:
We must write an equation to represent the cost of each call plan.
For the first plan
Monthly fee
$ 13
Cost per minute
$ 0.17
If we call x the number of call minutes then the equation representing the cost c for this plan is:

For the second plan
monthly fee
$ 23
Cost per minute
$ 0.13
If we call x the number of call minutes then the equation representing the cost c for this plan is:

To know when the cost of both plans are equal, we equate the two equations and solve for x.



With 250 minutes of calls the cost of the two plans is the same: $55.5

how to calculate angle which is 25 degree?

Answers

For calculate a angle we use Protactor .First place the protractor at 0 and starting point of angle .Now count the angle where it meets .

In 2004, baseball player Lance Berkman had
172 hits out of 544 at bats. What was Lance
Berkman's Batting Average in 2004 rounded to
the nearest thousandth?

Answers

Answer:1 thousandth

Step-by-step explanation:

A hotel has a total of 7 floors if there are 35 standard rooms on each floor how many standard rooms are there

Answers

There would 245 standard rooms

Answer:

245

Step-by-step explanation:

multiple the amount of rooms on each floor (35) by the amount of floors (7)

35x7=245 rooms

Can someone help me?? 3+3

Answers

Answer:

6

Step-by-step explanation:

count your fingers

The answer is 6 . I hope this helped you

The following are all 5 quiz scores of a student in a statistics course. Each quiz was graded on a 10-point scale.

Answers

Answer:

I think

Category: Calculus and Above

Satisfied Customers: 18,226

Hope this help! Try my best :)

One angle of a triangle measures 102°. The other two angles are congruent.

Enter and solve an equation to find the measure x of the congruent angles.

An equation is_______ = 180.

The congruent angles each measure _______°.

Answers

Answer:

if i am rightthe two other angles arre 39

Step-by-step explanation:

if a triganle is 180 degrees and you have already one angle then all you do is subtract 180 and 102

180-102= 78

then since you need the other two angles all you do is divide it by 2

so 78/2= 39 so the two missing anlges are 39

A car travels at a constant speed of 20m/s.Work out the distance travelled [in meters] by the car after (a) 4seconds (b) 12seconds (c) 3mins (d) 2hrs​

Answers

Answer:

This is quite an easy question u should try it yourself

Step-by-step explanation:

The formula is

V= d / t

Therefore the distance is

D = vt

So since they alredy gave u that v = 20m/s

Just put in the time, remember to change it to seconds

Josefina's check at Sun Bistro is $26.70. In order to leave a 24% tip, how much should she pay? Round to the nearest cent.

Answers

Answer:

33.11 hope this helps

Step-by-step explanation:

she needs to pay $33.108 In order to leave a 24 percent tip.

What is ratio?

The ratio can be defined as the number that can be used to represent one quantity as a percentage of another. Only when the two numbers in a ratio have the same unit can they be compared. Ratios are used to compare two objects.

Given, Josefina's check at Sun Bistro is $26.70. she wants to leave a 24% tip

Bill of josefina = 26.70

Bill after 24% tip = 26.70 * (1 + 24%)

Bill after 24% tip = 26.70 * 1.24

Bill after 24% tip = 33.108

Therefore, In order to leave a 24% tip she needs to pay $33.108.

Learn more about ratios here:

https://brainly.com/question/13419413

#SPJ2

When I am 5% older than I am now, I will be 21 years old. How old am I now?

Answers

Answer:20 years

Step-by-step explanation: Let your present age be 'x'

If you are 5percent holder then your age is 21

x +5/100×x =21

x+5x/100=21

100x+5x/100=21

105x/100=21

x=21×100÷105

x=20

x+5%×x=21
x+5/100x=21
x+1/20x=21
21/20x=21
x=20
You are 20 years old now.

Hope my answer helped u :)

Rounding 55,183 to the nearest thousand gives

Answers

Answer:

55,000

55,183 is closer to 55,000 than to 56,000

To round to the nearest thousand look at the hundreds number, if the number is below 5 then the thousands number remains the same and the digits less than the thousands become zeros, if the hundreds number is 5 or higher you add 1 to the thousands number and the digits less than the thousands become zeros.

The hundreds number is 1, so the thousands number remains 5.

Answer: 55,000

Please someone answer this :D I really need the answer

Answers

Answer:

8.25

Step-by-step explanation:

first substitution

x=4 and y=7

square root(i dont have it) 4(x)7 + 9(x)4 =

square root 28+36 =

square root 64 =

8.246211251

round to 3 significant figure = 8.25

My nephew needs help with this question

Answers

The domain is the set of all the x-values/inputs used by the function.  

The range is the set of all y-values/outputs used by the function.

For #1:

The domain is { 1, 0, -1, 4 } because those are the x-values.

The range is { 3, 5, 7, -6 } because those are the x-values.

I'll let you try #2.  if you write back with your answer, I'll reply to let you know if you did it correctly.

How many hours? Thank you for your time.

Answers

Answer:

3/4 hours I believe so??

points!!!!!!!!!!!!!!!!!!!!!!!!!Plz answer

Answers

[tex](7^3)^{-2}=7^{3\cdot(-2)}=7^{-6}=\\\\=(\frac{1}{7})^6=\frac{1}{7\cdot7\cdot7\cdot7\cdot7\cdot7}[/tex]

What is the slope of a line perpendicular to the line whose equation is x+y=5x+y=5. Fully simplify your answer.

Answers

Answer:

1

Step-by-step explanation:

x+y = 5

Put this equation in slope intercept form y = mx+b where m is the slope

y = -x +5

The slope of the line is -1

Perpendicular lines have slopes that multiply to -1

-1 * m = -1

m = 1

The slope of the perpendicular line is 1

What is the simplified expression for
74.707
78
070
071
07²
073

Answers

Answer:

es la respuesta 070 esa es ponla

What are the coordinates of the point on the directed line segment from (−4,10) to (-2, -2) that partitions the segment into a ratio of 3 to 1? HURRYYYY!!!!

Answers

Answer:

(-2.5 , 1)

Step-by-step explanation:

the x- coordinates :

[(3×(-2)) + (1×(-4))] /(3+1)

= (-6 +(-4))/(4)

= -10/4

= -2.5

the y-coordinates :

[(3×(-2)) + (1×10)] / (3+1)

= (-6+10)/(4)

= 4/4

= 1

so, the coordinates are (-2.5 , 1)

Answer:

(-2.5, 1)

Step-by-step explanation:

Directed line segment from (−4,10) to (-2, -2).

The ratio = 3/1.

The coordinates are:

x = -4 + 3/4*(-2 - (-4)) = -4 + 3/4*(2) = -4  + 1.5 = - 2.5y = 10 + 3/4(-2 - 10) = 10 + 3/4*(-12) = 10 - 9 = 1

if g(x)=1-3/4x find each value
a. g(-12)
b. g(0)
c. -5xg(4)-1

Answers

Answer:

c

Step-by-step explanation:

the answer is C

Write the answer without using exponents? -9^3

Answers

Answer:

1/729

Step-by-step explanation:

a negative exponent is fractioned like 1/9^3. Which can be simplified as 1/729 ans 9^3 = 729

9
Find the value of ab when a =
7
and b =
10
The answer is
(Simplify your answer.)

Answers

here,

a= 7 and b=10

then,

ab

= a × b

= 7 × 10

(replace a and b by its value)

= 70

therefore, ab =70......

is 453 exactly divisible by 2​

Answers

Answer:

No, for any number to be divisible by 2, the one and only rule is that it's even. This number is odd

Is (1,3) a solution of y = 3x2?

Answers

No this is the awnser-3x+y=2

HELP PLS!!! You invested ​$25,000 in two accounts paying 7% and 8% annual​ interest, respectively. If the total interest earned for the year was $1900, how much was invested at each​ rate?

Answers

All u have to do is divide the answer is %3

plese help me fast I will mark you brainlist​

Answers

Answer:

x= 70 y= 70

Step-by-step explanation:

find the constant term in the expansion of (x +1/x)'8​

Answers

[tex]\left( x+\frac{1}{x}\right)^{8} =\sum _{k=0}^{8}\binom{8}{k} \cdotp x^{8-k} \cdotp \left(\frac{1}{x}\right)^{k}\\\\\\ \begin{array}{l}\text{We\ wish\ to\ find\ } x^{0} :\\\\x^{8-k} \cdotp \left(\frac{1}{x}\right)^{k} =x^{0}\\\\\Longrightarrow x^{8-k} \cdotp x^{-k} =x^{0}\\\\\Longrightarrow \cancel{x}^{8-2k} =\cancel{x}^{0}\\\\\Longrightarrow 2k=8\\\\\Longrightarrow k=4\end{array}\\\\\therefore \binom{8}{4} \cdotp x^{4} \cdotp \left(\frac{1}{x}\right)^{4} =\frac{8!}{( 8-4) !\cdotp 4!}[/tex]

[tex]\binom{8}{4} \cdotp x^{4} \cdotp \left(\frac{1}{x}\right)^{4} =\frac{8\cdotp 7\cdotp 6\cdotp 5\cdotp \cancel{4!}}{\cancel{4!} \cdotp 4\cdotp 3\cdotp 2\cdotp 1}\\\\\binom{8}{4} \cdotp x^{4} \cdotp \left(\frac{1}{x}\right)^{4}=70\\\\\therefore \boxed{\boxed{\text{The\ constant\ term\ is\ } 70}}[/tex]

t - 27 = - ( 27 - t )

Answers

Answer:

0

I dont remember why but I know for a fact it's zero

0

When there is a in front of an expression in parentheses, change the sign of each term in the expression

The statement is true for any value of , because both sides are identical

Choose either yes or no to tell if each of the following represents 0.87.

Answers

Answer:

yes, no, yes, yes

Step-by-step explanation:

A=.87

B=.15

C=.87

D=.87

1/9 y -5 = - 7 what does Y equal?

Answers

⅑y - 5 = -7

⅑y = -7 + 5

⅑y = -2 / · 9

y = -18

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