1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
4vir4ik [10]
3 years ago
13

If Alex and Brandon work together they will clean the school in 15 hours. Working alone, Brandon can finish the same job in 20 h

ours. How long will it take Alex to do the job by himself? PLEASE HELP ME PRETTY PLEASE
Mathematics
1 answer:
sesenic [268]3 years ago
8 0

Answer:

It takes 60 hours for Alex to complete the job alone.

Step-by-step explanation:

Given:

Number of hours Brandon alone can finish job =20 hours

Let the number of hours required by Alex alone to complete the job be 'x' hrs.

We need to find the number of hours required by Alex alone to complete the job.

Solution:

Now we can say that;

Rate at which Alex can complete the job alone = \frac1x job/hour

Rate at which Brandon can complete the job alone = \frac{1}{20} job /hour

Also Given:

Number of hours required for both to complete the job = 15

So rate of both complete the job  = \frac{1}{15} job/hour

Now we can say that;

rate of both complete the job is equal to sum of Rate at which Alex can complete the job alone and Rate at which Brandon can complete the job alone.

framing in equation form we get;

\frac1x+\frac{1}{20}=\frac{1}{15}

Now taking LCM for making the denominators same we get;

\frac{20}{20x}+\frac{x}{20x}=\frac{1}{15}

Now denominators are common so we will solve the numerators.

\frac{20+x}{20x}=\frac{1}{15}

Now Using cross multiplication we get;

15(20+x)=20x

Applying Distributive property we get;

15\times20+15\times x =20x\\\\300+15x=20x

Combining like terms we get;

300=20x-15x\\\\300=5x

Now Dividing both side by 5 we get;

\frac{300}{5}=\frac{5x}{5}\\\\x=60\ hrs

Hence It takes 60 hours for Alex to complete the job alone.

You might be interested in
Find the volume.<br> 15 points
Anton [14]

Answer:

the volume is 196

Step-by-step explanation:

17x8=136

6x10=60

136+60=196

3 0
3 years ago
PLZ SOMEONE HELP ME AND EXPLAIN <br> THX
ELEN [110]
The graph of g is one-fifth as steep as the graph of f.

The function g basically takes the inputs for f and multiplies them by one-fifth, which means the outputs are one-fifth times those of f. Multiplying by one-fifth makes something smaller (it's the same as dividing by five). It helps to visualize this relationship, so I've attache the graphs below.

7 0
3 years ago
What is the value of x if f(x) = 23
lilavasa [31]

Answer:

in f (x)= x

here x=x so answer is 23

8 0
3 years ago
After a bride has interviewed 7 DJs to play at her wedding, her fiance tells her she needs to narrow it down to 4 DJs. In how ma
Alex17521 [72]

Answer:

840

Step-by-step explanation:

Given

DJs = 7

To\ pick = 4

Required

Determine the number of rankings

The term "ranking" as used in this question implies permutation and the required is calculated using:

^nP_r = \frac{n!}{(n-r)!}

Where

n = 7

r = 4

So:

^nP_r = \frac{n!}{(n-r)!}

^7P_4 = \frac{7!}{(7-4)!}

^7P_4 = \frac{7!}{3!}

^7P_4 = \frac{7 * 6 * 5 * 4 * 3!}{3!}

^7P_4 = 7 * 6 * 5 * 4

^7P_4 = 840

<em>Hence, number of ranking is 840</em>

7 0
3 years ago
What is the value, after 7 years, of a 2014 Ford Mustang that originally costs $25,000.00 if it depreciates at a rate of 8% per
Sholpan [36]
The value would be $14,000.

The formula we use for this is

A = p(1+r)ˣ, where p is the initial value, r is the percent of depreciation (as a decimal number) and x is the number of years.  Note that since it is depreciation, r will be a negative number.

A = 25000(1-0.08)⁷ = 13946.17 ≈ 14000
4 0
3 years ago
Other questions:
  • Jonathan makes $27 per hour and works 25 hours per week. Every week, he has to sell 20 items. If he sells more than 20 items in
    8·2 answers
  • The sampling distribution of a statistic is a the graphical display that determines whether randomization was effective. b the p
    5·1 answer
  • Find the volume of each cone, Round to the nearest tenth.
    7·1 answer
  • A photograph has a width of 8 cm and a length of 3x cm.
    12·1 answer
  • Suppose x = 5 is a solution to the equation 4x − 3(x + a) = 2. Find the value of a that makes the equation true.
    12·1 answer
  • 5. Which of the following has the greatest value?<br> A. |18|<br> B. |25|<br> c.|-9|<br> D. |-14|
    13·2 answers
  • Work out the angle of size x
    5·1 answer
  • There are only 5 blue cards, 2 green cards and 4 red cards in a pack.
    7·1 answer
  • Sam bought an electric iron as a price of 25 less than the original price if the original price of it is $2500 at what price did
    14·1 answer
  • Quadrilateral ABCD is rotated 270° clockwise about the origin. What are the
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!