15 men can dig a trench of 90 m long in
3 hours. How long will it take 16 men
to dig a trench 48 m long?​

Answers

Answer 1

Answer:

1.5 hours= 1hr 30m

Step-by-step explanation:

90÷15=6

6÷2=3

48÷16=3

3÷2=1.5

Mark me as brainliest if u found it helpful

Answer 2

Using proportional variables, it is found that it will take 1.5 hours for 16 men  to dig a trench 48 m long.

The time needed is direct proportional to the length of the trench, and inverse proportional to the number of men, thus, the equation is:

[tex]t = k\frac{l}{m}[/tex]

In which:

t is the time.k is the constant of proportionality.l is the length of the trench.m is the number of men.

15 men can dig a trench of 90 m long in 3 hours, thus [tex]m = 15, l = 90, t = 3[/tex], this is used to find k.

[tex]t = k\frac{l}{m}[/tex]

[tex]3 = k\frac{90}{15}[/tex]

[tex]6k = 3[/tex]

[tex]k = \frac{3}{6}[/tex]

[tex]k = 0.5[/tex]

Thus:

[tex]t = 0.5\frac{l}{m}[/tex]

16 men, 48m long, thus [tex]l = 48, m = 16[/tex], and the time is:

[tex]t = 0.5\frac{l}{m} = 0.5 \times \frac{48}{16} = 0.5(3) = 1.5[/tex]

It will take 1.5 hours for 16 men  to dig a trench 48 m long.

A similar problem is given at https://brainly.com/question/14876746


Related Questions

Consider the following probability distribution function of the random variable X which represents the number of people in a group (party) at a restaurant: X P(X) 1 0.10 2 0.25 3 0.20 4 0.20 5 0.10 6 7 0.05 8 0.05 a. Find the population mean of X. b. Find the population variance and standard deviation of X. c. Find the probability that the next party will be over 4 people. d. Find the probability that the next three parties (assuming independence) will each be over 4 people.

Answers

Answer:

(a) 3.55

(b) 3.45 and 1.86

(c) 0.25

(d) 0.016

Step-by-step explanation:

The random variable X denotes the number of people in a group (party) at a restaurant.

(a)

The formula to compute the mean is:

[tex]\mu=\sum {x\cdot P(X=x)}[/tex]

Consider the Excel sheet attached.

The mean is, 3.55.

(b)

The formula to compute the variance is:

[tex]\sigma^{2}=[\sum {x^{2}\cdot P(X=x)}]-(\mu)^{2}[/tex]

Consider the Excel sheet attached.

Compute the variance as follows:

[tex]\sigma^{2}=[\sum {x^{2}\cdot P(X=x)}]-(\mu)^{2}\\\\=16.05-(3.55)^{2}\\\\=3.4475\\\\\approx 3.45[/tex]

The variance is, 3.45.

Compute the standard deviation as follows:

[tex]\sigma=\sqrt{\sigma^{2}}\\\\=\sqrt{3.45}\\\\=1.85742\\\\\approx 1.86[/tex]

The standard deviation is, 1.86.

(c)

Compute the probability that the next party will be over 4 people as follows:

[tex]P(X>4)=P(X=5)+P(X=6)+P(X=7)+P(X=8)\\\\=0.10+0.05+0.05+0.05\\\\=0.25[/tex]

Thus, the probability that the next party will be over 4 people is 0.25.

(d)

Compute the probability that the next three parties will each be over 4 people as follows:

It is provided that the three parties are independent.

P (Next 3 parties will be each over 4) = [P (X > 4)]³

                                                           [tex]=(0.25)^{3}\\=0.015625\\\approx 0.016[/tex]

Thus, the probability that the next three parties will each be over 4 people is 0.016.

Vanessa and Tia buy a printer. Vanessa pays $90 for her printer and each replacement ink cartage cost $25. The equation T=80+20c can be used to find the total cost, T, Tia pays for her printer plus C number of ink cartridges. Who buys the less expensive printer

Answers

Answer:

Vanessa, she only needs to buy one ink cartridge according to the question

where Tia has to buy more? I need more info on the question

Step-by-step explanation:

Tia bought less expensive printer.

What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

Given is that Vanessa and Tia buy a printer. Vanessa pays $90 for her printer and each replacement ink cartage cost $25. The equation T = 80 + 20c can be used to find the total cost, T, Tia pays for her printer plus C number of ink cartridges.

Equation that represents the cost for Vanessa's printer is -

V = 90 + 25c

Equation that represents the cost Tia's printer is -

T = 80 + 20c

For {c} = 1, the cost for Vanessa's printer is -

V(1) = $115

For {c} = 1, the cost for Tia's printer is -

T(1) = 80 + 20 = $100

Therefore, Tia bought less expensive printer.

To solve more questions on algebraic expressions, visit the link below -

brainly.com/question/1041084

#SPJ2

Jillian has been updating the design of a media streaming website. She wonders if users will spend more time on the site with the new design, so she designs a study. She starts with a random sample of 1,000 users and randomly assigns half of them to the old design and half of them to the new design. After a week, she notices that users with the new design spend significantly longer on the site than the users with the old design. Can we conclude that the new design caused users to spend more time on the site? Why? Choose 1 answer: A)Yes because the sample size was large, B) Yes, because the users were randomly assigned to treatment and control groups, C) Yes, because the users were randomly selected, D) Not necessarily, because the sample size was too small, E) Not necessarily, because this wasn’t an experiment.

Answers

Answer:

Yes, because the users were randomly assigned to treatment and control groups

Step-by-step explanation:

Random assignment to treatment and control groups makes this study an experiment, so we can make causal conclusions.

Answer:

C:  Yes, because the users were randomly selected

Step-by-step explanation:

Got it right on USATP.

Hope this helps!

From: Aug1e

3. Determine if the graph below is a function.
Explain your reasoning.

Answers

Answer:

A function defines one variable in terms of another. The statement "y is a function of x" (denoted y = y(x)) means that y varies according to whatever value x takes on. A causal relationship is often implied (i.e. "x causes y"), but does not *necessarily* exist.

Step-by-step explanation:

which direction would the graph of y=|x+5|-1 open?

a. down
b.up
c.right
d.left ​

Answers

The answer fam is.......... "b.up"

At the end of a snow storm, Amelia saw there was a lot of snow on her front lawn. The temperature increased and the snow began to melt at a steady rate. After the storm, the snow started melting at a rate of 1.5 inches per hour and it is known that 4 hours after the storm ended, the depth of snow was down to 12 inches. Write an equation for S, in terms of t, representing the depth of snow on Amelia's lawn, in inches, t hours after the snow stopped falling.

Answers

Answer:

The equation is;

S = 18 - 1.5t  

Step-by-step explanation:

From the question, we are made to know that the depth of the snow is S and the time taken to melt in hours is t

After 4 hours of melting, the snow depth is 12 inches  

Now, recall that the rate of melting is 1.5 inches/ hour  

So in the 4 hours, the amount of snow melted will be 1.5 * 4 = 6 inches  

So the total depth of the snow initially will be 6 + 12 = 18 inches  

So let’s write the equation;

S = 18 - 1.5t  

Where S is the depth of the snow after a particular number of hours t

If the points P(5,2),Q(0,7) and R(-5,2) are drawn on coordinate plane,where must point S be located so that figure PQRS is square.

Answers

Answer:

(0, -7) i think

hope this helps :3

sorry if im wrong

What Is f(0) ?

Choices
12 only
2 and 3 only
-2, -1, 1, and 2 only
-2, -1, 1 2 and 12

Answers

Answer:

12 only

Step-by-step explanation:

It means x is zero, and the only point on x=0 is 12 :)

According to the graph the function  f(0) is  12 only .

What is intercepts?

The x-intercept is the point where a line crosses the x-axis or at y = 0, and the y-intercept is the point where a line crosses the y-axis or at x =0.

According to the question

The graph shows the function in which

f(0) is

i.e

x = 0  or y intercept

Now, according to the graph

at x = 0 , y = 12

Or

f(0) = 12

Hence, The function  f(0) is  12 only .

To know more about intercepts here:

https://brainly.com/question/14180189

#SPJ3

Martin charges $15 for every 5 bags of leaves he rakes last weekend he raked 20 bags of leaves how much money did he earn

Answers

Answer:

60 hope this helps

Step-by-step explanation:

15 divided by 5 =3

20 multiplied by 3 =60

Round 24.9652 to
1 decimal Place​

Answers

Answer:

2.5 one decimal rounding off means to make it to one decimal place.the no is 24.9652 if you want to round of then you have to put decimal after 2 only then it will be one decimal place .this is because when we see a number after the point greater than 5 then we add 1 to the right side .now if we add 1 to the right side of 24.9652 by rounding off and making it to one decimal place then it will be 2.5.

Kumar is opening a lemonade stand. He spent $4.50 to build the stand and $2.50 for lemons and sugar. He has enough ingredients to make 20 glasses of lemonade. How much should he charge for one glass of lemonade to cover his expenses and make $10 in profit?

Round to the nearest cent.

Timed test

Answers

Answer:

profit = revenue - cost

10 = 20x - (4.5 + 2.5)

10 = 20x - 7

10 + 7 = 20x

17 = 20x

17/20 = x

0.85 = x

check...

profit = revenue - cost

10 = 20(0.85) - 7

10 = 17 - 7

10 = 10 (correct)

so he would have to sell each cup at 0.85 ccents to make a profit of $ 10

Step-by-step explanation:

Answer:

I cant find the next one hehrh

the measure of an angle is 79.7 what is the measure of its complementary angle

Answers

Answer:

10.3

Step-by-step explanation:

Answer:

10.3°

Step-by-step explanation:

complementary angles are angles that sum up to 90°.

Therefore the complement of 79.7

= 90-79.7

=10.3°

If x = -6, which inequality is true?
A-5 - 3x > 10
B-3-5x < -14
C 1-2x > 13
D 2-X<-3

Answers

Answer:

A. -5 - 3x >10

Step-by-step explanation:

-5 - 3(-6) >10

-5 + 18 >10

13 >10

The sum of two consecutive numbers is 253. Which of the following equations
describes this situation?
A) 3n-1= 253
D) 2n+2= 253
B) 2n+1= 253
E) n+2= 253
C) 2n= 253

Answers

Answer:

EEEEEEEEEEEEEEEEEEEEEEEEEEE

Step-by-step explanation:

EEEEEEEEEEEEEEEEEEEEEEEEE

The situation is a linear equation, and the equation that describes the situation is 2n + 1 = 253

How to determine the equation of the situation?

Let the smaller number be n.

So, the consecutive numbers are n and n + 1

When the numbers are added, we have:

Sum = n + n + 1

This gives

Sum = 2n + 1

The sum is 253.

So, we have:

2n + 1 = 253

Hence, the equation that describes the situation is 2n + 1 = 253

Read more about linear equations at:

https://brainly.com/question/14323743

#SPJ2

6. Doug has been evicted from his home. He sits on the street corner with a homemade
sign asking people to give him food. Doug is wearing only shorts and a t-shirt in the
snowy afternoon. Doug plays his harmonica in hopes of attracting some donors. One
kind soul brings him a cup of hot chocolate. A passerby yells at Doug to "Get a job!"
upsetting Doug so much that he spills the steaming hot chocolate on his leg.

Answers

What do u mean by this question?

A 168-inch board is cut into two pieces. One piece is three times the length of the other. Find the length of the shorter piece.

Answers

Answer:

42

Step-by-step explanation:

168 Inches. One is three times the length of the other so, the bigger piece is 3/4 while the shorter is 1/4. Simply multiply 1/4 by 168. You get 42.

The population of a community is known to increase at a rate proportional to the number of people present at time t. The initial population P0 has doubled in 5 years. Suppose it is known that the population is 9,000 after 3 years.

Required:
a, What was the initial population P0?
b. How fast is the population growing at t = 10?

Answers

Step-by-step explanation:

Let the initial population of a community be P0 and the population after time t is P(t).

If the population of a community is known to increase at a rate proportional to the number of people present at time t, this is expressed as:

[tex]P(t) = P_0e^{kt}[/tex]

at t = 5 years, P(t) = 2P0

substitute:

[tex]2P_0 = P_0e^{5k}\\2 = e^{5k}\\ln2 = lne^{5k}\\ln2 = 5k\\k = \frac{ln2}{5}\\k = 0.1386[/tex]

If the population is 9,000 after 3 years

at t = 3, P(t) = 9000

a) Substitute into the formula to get P0

[tex]9000 = P_0e^{0.1386\times 3}\\9000 = P_0e^{0.4158}\\9000 = 1.5156P_0\\P_0 = \frac{9000}{1.5156}\\ P_0 = 5938.24[/tex]

Hence the initial population is approximately 5938.

b) In order to know how fast the population growing at t = 10, we will substitute t = 10 into the formula as shown:

[tex]P(10) = 5938.24e^{0.1386(10)}\\P(10) = 5938.24e^{1.386}\\P(10) = 5938.24(3.9988)\\P(10) = 23,745.97[/tex]

Hence the population of the community after 10 years is approximately 23,746

How many pounds are in 80 kilograms? Round your answer to the nearest whole number. Note: There are approximately 2.2lbs in a kg.

Answers

Answer:

176.37 orrrr 176

Step-by-step explanation:

Answer:

176 pounds

Step-by-step explanation:

how many times can 130 go into 22? DIVIDE

Answers

130 cannot go into 22.

22 can go into 130 5 times

130 can not go into 22 idk if u meant 22 into 130

How do I write Domain and Range in inequality notation?

Answers

Answer:

Step-by-step explanation:To combine two intervals using inequality notation or set-builder notation, we use the word “or.” As we saw in earlier examples, we use the union symbol, \displaystyle \cup∪, to combine two unconnected intervals. For example, the union of the sets \displaystyle \left\{2,3,5\right\}{2,3,5} and \displaystyle \left\{4,6\right\}{4,6} is the set \displaystyle \left\{2,3,4,5,6\right\}{2,3,4,5,6}. It is the set of all elements that belong to one or the other (or both) of the original two sets. For sets with a finite number of elements like these, the elements do not have to be listed in ascending order of numerical value. If the original two sets have some elements in common, those elements should be listed only once in the union set. For sets of real numbers on intervals, another example of a union is

Please need help thank you

Answers

Answer:

31825 is your answer. Hope that helps.

Answer:

Lydia´s address is 8 Cypress street.

Step-by-step explanation:

5 digit.

6 less than 7.

3 and 1 are the product.

Simplify them.

6 - 7 + 3 + 1 = 5

Simplify.

6 - 7 = -1.

Then Simplify.

-1 + 3 = 2.

Simplify.

2 + 1 = 3.

3 + 5 = 8.

Hope this helps.

Have a good night ma´ám/sir.

Be safe!

1. Darla's piggy bank is full, so she plans to empty out all of the coins, roll as many as possible to deposit

into her savings account, and put the remaining coins back into the piggy bank. Rolls of pennies and

dimes consist of 50 coins each, while rolls of nickels and quarters consist of 40 coins each.

(9 points: Part 1 - 2 points; Part II - 2.5 points; Part III - 2 points; Part IV - 2.5 points)

Part II: How much will Darla deposit into her savings account?

U.S.)

Answers

Answer:

The number of coins is missing, so I looked for a similar question:

Darla counted 472 pennies, 319 nickels, 436 dimes, and 271 quarters

Darla can make:

9 rolls of pennies (worth $4.50)

7 rolls of nickels (worth $14)

8 rolls of dimes (worth $40)

6 rolls of quarters (worth $60)

total amount of money = $118.50

A math class consists of 26 students, 14 women, 10 men, and 2 non-binary. Two students are selected at random to participate in a probability experiment. Compute the probability that:

Answers

Answer:

there's a higher probability for females

A carpenter cut a 13 1/2 foot piece of wood into 3/4 foot pieces. After cutting the wood, how many pieces did the carpenter have

Answers

Answer:    

18

Step-by-step explanation:

Turn the mixed number into an improper fractions: 13 × 2 = 26, 26 + 1 = 27Re-write improper fraction: [tex]\frac{27}{2}[/tex]  [tex]\frac{27}{2}[/tex] ÷ [tex]\frac{3}{4}[/tex] = [tex]\frac{27}{2}[/tex] × [tex]\frac{4}{3}[/tex]  [tex]\frac{27}{2}[/tex] × [tex]\frac{4}{3} = \frac{108}{6}[/tex]  108/6 = 18

I hope this helps!

Which of the following is equal to the opposite of −45?

−|45|
−|−45|
−(−45)
−45








Which of the following statements does not represent the same value as the others?

the absolute value of 9
the absolute value of negative 9
the opposite of 9
the distance between 0 and −9











All of the following are true statements except _____.

|−93| = −93
|−93| = 93
−|93| = −93
|93| = 93













If you move from zero to 15 on the number line, you are representing all of the following except _____.

the absolute value of 15
the distance between zero and 15
the opposite of −15
the opposite of 15














All of the following expressions are equal to N except _____.

−(− N )
− N
| N |
|− N |

Answers

Answer:

The first one

Step-by-step explanation:

1. -(-45)
2. “The opposite of 9”
3. -93
4. “ the opposite of 15”
5. -N

The mean of the standard normal distribution is 1 and the standard deviation is 0. Group of answer choices False True

Answers

Answer:

True

Step-by-step explanation:

The standard normal distribution is special case of normal distribution which centers at 0 thus the mean μ of standard normal distribution is zero and the dispersion from mean value is unity measured by standard deviation σ.

Thus, the mean of standard normal distribution is zero and standard deviation is unity.

HELP ME PLEASE I ALREADY GRAPHED IT BUT PLEASE ANSWER THE QUESTION BELOW


Answers

Answer:

32ed

Step-by-step explanation:

point Q was rotated about the origin (0,0) by 180

Answers

Answer:B

Step-by-step explanation:

The coordinates of the image of the rotation of the point Q is:

Q' = (4, 2)

What is the image of the rotation?

We can see that the original coordinates of point Q are (-4, 0).

If we apply a rotation of 180° about the point (0, 0), it is equivalent to a reflection around the y-axis.

It only changes the sign of the x-component.

Then the image of the rotation is:

Q' = (4, 0)

If you want to learn more about rotations:

https://brainly.com/question/4289712

#SPJ2

Naomi bought a dress on sale for $24. Naomi bought the dress for 60% of the original price. Which equation shows how to find the original cost of the dress?

A.
0.60x = 24


B.
0.40x = 24


C.
24x = 60


D.
60 – 24 = x

Answers

Answer:

A

Step-by-step explanation:

Please help me ASAP!!

Answers

Answer:

bottom right

Step-by-step explanation:

Answer:

(2067+49) x 21

Step-by-step explanation:

Other Questions
What were some of the changes brought about by the Renaissance period? A probability experiment is conducted in which the sample space of the experiment is S={1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}. Let event E={2, 3, 4, 5, 6, 7}, event F={5, 6, 7, 8, 9}, event G={9, 10, 11, 12}, and event H={2, 3, 4}. Assume that each outcome is equally likely. List the outcome s in For G. Now find P( For G) by counting the numb er of outcomes in For G. Determine P (For G ) using the General Addition Rule. Professor Solomon is investigating the relationship between bipolar I and bipolar II disorders. Based on research that has already been conducted, what will she conclude?a. There is at least one manic episode in bipolar II, but not in bipolar I.b. A diagnosis of Bipolar II does not need a depressive episodec. A diagnosis of Bipolar I does not have to exhibit psychotic symptoms.d. There are no clear differences between the two disorders. A sound wave has a frequency of 20 Hz and a wavelength of 100 m. What is speed of the wave Which is the best surface for absorbing heat radiation? Shiny white Shiny black Dull black Dull white B) Explain your reasoning for the answer above. Be sure to name the type of cell being affected, and how it is affecting the body. * Where are the motors for the light year one located ??? a piece of metal has a mass of 1.3 g/cm and a has a volume of 24.9 cm3 what is its mass A student wondered it butterflies would show any differences in their wing color it, as caterpillars, they were grown in the dark or grown in bright white lightWhich statement would be a possible hypothesis for an experiment to test this idea? Which life process is not required for the survival of a individual organism nutrition, reproduction, respiration, or synthesis A hypothetical metal has the simple cubic (SC) crystal structure. If its atomic weight is 70.4 g/mol and the atomic radius is 0.126 nm. Compute its density (in g/cm3) HelpMe answer this question plssss What of the following organisms transforms radiant energy intochemical energy?O ButterflyO GrassO MouseO Deer Which of the following acts of Congress made all American Indians living in Indian Territory United States citizens? A. the Dawes Act of 1887 B. the Indian Appropriation Bill of 1893 C. the Curtis Act of 1898 D. the Dawes Act Amendment of 1901 Which sentence uses a perfect tense verb? -Everyone was eating in the mess hall . -The firefighters also responded quickly. -The fire had also consumed a bunker. -Yet, no one was in it at the time, The land around the Nile River delta is known as _____ Please select the best answer from the choices provideda. Kush b. Lower Egypt c. Upper Egyptd. the Sudan Martin borrowed $2700 from a bank. If he pays a fixed amount for 9 months, how much money does he have to pay per month to clear his debts? Represent the quotient as a rational number.A. -800/1B. 500/1C. 300/1D. -100/1 The probability of getting a white marble from the bag is 1/6. If there are eight white marbles in the bag, what is the total number of marbles in the bag?A. 36B. 24C. 48D. 14 Write the slope-intercept form of the equation of each line given the slope and y-intercept. 1) Slope = 6, y-intercept = 52) Slope = -1/3, y-intercept = 1 why do competitors avoid using their compass overhead power lines