Given :
A group of men decided to do a job in 8 days.
10 men dropped out every day, the job got completed at the end of the 12th day.
To Find :
How many men were at the beginning ?
Solution :
Let, total number of men initially are n.
It none of them leave, total work :
W = 8n ...1)
It is given that 10 men are dropped each day it takes them 12 day to complete the work :
W = ( n ) + ( n - 10 ) + ( n - 20 ) + .... + ( n - 110 )
W = 12n - ( 0 + 10 + 20 + ...... + 110 )
W = 12n - 660 ...2)
Since, total work is same in both the cases, so equating both equation, we get :
12n - 660 = 8n
4n = 660
n = 165
Therefore, their are 165 men in the beginning.
Answer the question quickly please 3y=24
Answer:
y = 8
Step-by-step explanation:
3y = 24
3y ÷ 3 = 24 ÷ 3
y = 8
Insta: 25k_kemRaj weighs a book and rounds the weights to the nearest tenth. Does this weight round to 1.5 pounds?
1.45
Answer:
True
Step-by-step explanation:
1.45 the 5 is equal/above it so it is true
This figure consists of a rectangle and semicircle. What is the perimeter of this figure? Use 3.14 for pi.
Answer: 36.56
Step-by-step explanation:
Find the perimeter of the rectangle. 11. 13 cm Area = 52 cm2
Answer:
1352 cm
Step-by-step explanation:
Length (l) = 13 cm
Width (w) = 52 cm
Perimeter of the rectangle = 2(l + w) units
P = 2(13 + 8)
P = 2 (21)
P = 42
Thus, the perimeter of the rectangle is 42 cm.
Example 2: If a rectangle's length is 2x + 1 and its width is 2x – 1. If its area is 15 cm2, what are the rectangle's dimensions and what is its perimeter?
Solution:
We know that the dimensions of the rectangle in terms of x:
l = 2x + 1
w = 2x – 1
Since the area of a rectangle is given by:
A = l * w
We can substitute the expressions for length and width into the equation for area in order to determine the value of x.
A = l * w
15 = (2x + 1) (2x -1)
15 = 4x2 – 1
16 = 4x2
x = ±2
Note that the value of x must be positive and therefore in our case, the value of x is 2. And now we have:
l = 11 cm
w = 52 cm
Therefore, the dimensions are 5cm and 3cm.
Now, substituting these values in the formula for perimeter, we will get
P = 2l + 2w
P = 2(5)+2(3)
P = 10+6
P = 16 cm
can u guys help i really need to be good at math because i dont want t go to a tewter tomorrow
Answer: Your answer is (C) 6/14
Step-by-step explanation: Have a brilliant day mate - Lily ^-^
In a bag of marbles, image are red, image are blue, image are green, and image are yellow. You pick a marble without looking. What color marble are you MOST likely to choose?
Answer:
red
Step-by-step explanation:
1/2 is larger than 1/4, 1/6, and 1/12 meaning the chance of pulling red is greater than getting blue, green, or yellow.
hope i helped you!
for 30 points here you go please answer truthfully
Answer:
855 sorry i miscalculated :c okay stay safe :D
Step-by-step explanation:
enjoy
4/5,3/10 =. Please help
Answer:
The answer would be 0,0754716981
can someone answer this whole page lol
marking brainliest btw
Answer: all i can read is number 2 and the answer is 5ft
Step-by-step explanation:
Answer:
B) [tex]\sqrt{225-81}[/tex]H) 5Triangle DG) 18 yardsStep-by-step explanation:
To solve question 1, you use the Pythagorean Theorem to solve. Option B uses this correctly.
Question 2 also uses the Pythagorean Theorem to solve. The answer is a decimal, but rounded to the nearest whole number, the answer is 5.
Question 3 uses the Pythagorean Theorem to see which triangles have the correct measurements of a right triangle. The triangle D is the only incorrect one.
Number 4 uses the Pythagorean Theorem to find the distance it would take to walk in a straight line. The answer to this is 51. Then subtract (24 + 45) - 51 to get 18 yards.
Hope it helps!
Calculate the speed of a car traveling a total distance of 60 meters in 4 seconds. pls help will give brainliest
Answer:
15 meters per second
Step-by-step explanation:
60/4 = 15
Answer:
15 meters per second
6 devide by 7.3 so what is the answer
Answer:
0.82
step-by-step explanation:
14.4 = -2.46
what is the answer
the question isn't true so that means it's false
You place two wooden support beams under a shelf, as shown. Find the value of x.
(2x + 10)
(x + 5)
Answer:
X=55
Step-by-step explanation:
(2x+10)+(x+5)=180
Combine like terms.
3x+15=180
Subtract 15.
3x=165
Divide by 3.
x=55
Answer:
see attached
Step-by-step explanation:
angles on a straight line
HELP HELL HELP HELP HELP HELP HELP HELL
Answer:
j
Step-by-step explanation:
3 Solve the inequality -- X + 6 >-3 4 Ox>-2 0x 12 0x< 12
Answer:
D)
Step-by-step explanation:
An angle turns through 60 one degree angles. What is the measure of the angle?
9514 1404 393
Answer:
60°
Step-by-step explanation:
60 × 1° = 60°
The angle measure is 60°.
5. A motorist leaves Derby at 10:55 and arrives in Leicester 1 14 hours later. The
distance from Leicester to Derby is 50 miles.
a) At what time did he arrive in Leicester?
b) What was his average speed in mph?
Answer:
a. 12:10 pm
b. 40 mph
Step-by-step explanation:
Assuming you meant to type 1 ¹/₄ hours later.
a. First convert that to a improper fraction and then a decimal:
= 5/4
= 1.25 hours
1.25 hours in minutes is:
= 1.25 * 60
= 75 minutes
= 1 hour 15 minutes
The motorist left at 10:55.
= 1055 + 1 hour
= 11:55
Add 15 minutes:
= 12:10 pm
b. Speed = Distance / Time
= 50 / 1.25 hours
= 40 miles per hour
Martin will ride his bike from his aunts house. He has two different routes he can take. One route goes up and down hill. The other route avoids the hill by going around the edge of the hill. How do you think the routes will differ. What do you think about the relationship of speed and time?
Answer and explanation:
One route goes up and down the hill while the other goes around the edge of the hill, in other words one route goes through a hill to get to the destination while the alternative route has a tunnel that makes it possible to avoid the hill.
Relationship between distance and time is given by the formula:
Distance = Speed × time
For example to find the distance travelled with a speed of 10km/hr and 4 hours travelled, we simply multiply speed 10km/hr by time travelled 4 hrs = 40km
Answer it fast please
I also need help with this one so pls help me
Answer:
the answer is 39
Step-by-step explanation:
you take 300 - 271 and you get 39
Answer:
29? or I'm just gullible.
Step-by-step explanation:
It seems like 29 so hopefully it is
I really need help with this plz
Answer:
n<4
It goes to the left
Step-by-step explanation:
Let's solve your inequality step-by-step.
6n+7<31
Step 1: Subtract 7 from both sides.
6n+7−7<31−7
6n<24
Step 2: Divide both sides by 6.
6n/6<24/6
n<4
The time between arrivals of customers at an automatic teller machine is an exponential random variable with a mean of 4 minutes. Round yours answers to 4 decimal places. (a) What is the probability that more than three customers arrive in 10 minutes
Answer:
0.7788 = 77.88% probability that more than three customers arrive in 10 minutes
Step-by-step explanation:
Exponential distribution:
The exponential probability distribution, with mean m, is described by the following equation:
[tex]f(x) = \mu e^{-\mu x}[/tex]
In which [tex]\mu = \frac{1}{m}[/tex] is the decay parameter.
The probability that x is lower or equal to a is given by:
[tex]P(X \leq x) = \int\limits^a_0 {f(x)} \, dx[/tex]
Which has the following solution:
[tex]P(X \leq x) = 1 - e^{-\mu x}[/tex]
The probability of finding a value higher than x is:
[tex]P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}[/tex]
In this question, we have that:
The time between arrivals of customers at an automatic teller machine is an exponential random variable with a mean of 4 minutes, and we have three customers, which means that [tex]m = 3*4 = 12, \mu = \frac{1}{12} = 0.0833[/tex]
(a) What is the probability that more than three customers arrive in 10 minutes
This is P(X > 3). So
[tex]P(X > 3) = e^{-0.0833*3} = 0.7788[/tex]
0.7788 = 77.88% probability that more than three customers arrive in 10 minutes
A rectangle has a length of 16 inches and the length of the diagonal is 20 inches. What is the width of the rectangle
Answer:
12 inches
Step-by-step explanation:
1. The diagonal is the hypotenuse of the right triangle. so since we know one side length, we can figure out the other side length
1. 16^2 + x^2= 20^22. 256 + x^2=4003. x^2=1444. [tex]\sqrt{144}[/tex] = 12I need to know Sergio rode mph and Sergio walked mph
Answer:
73
Step-by-step explanation:
Probably
If four bicycle lamps cost £24 how much would seven lamps cost?
margie bought 8 cans of tomato soup and 4 cans of mushroom soup. she spent nine dollars and eighty-eight cents. the tomato soup cost $0.79 per can. what did the mushroom soup cost per can?
HELP PLEASE WALLAHI HELP PLS WALLAHI HELP
Answer I think its 6 and -3
Step-by-step explanation:
Tobias bought four video games for $34. 10, $25.50, $13.25, and $9.99,
dileTobias spend?
How much money
A. $172.75
B. $99.40
C. $82.84
OD. $61.74
Answer:
C. 82.84
Step-by-step explanation:
You jog 3 kilometers in 12 minutes.
At this rate, how long will it take you to complete a 7-kilometer race?
Answer:
It will take 28 minutes to complete a 7-kilometer race
Step-by-step explanation:
If you can job 3 kilometers in 12 minutes, that means you can jog 1 kilometer in 4 minutes. so if you multiply 7 times 4, you would get 28. So your answer is 28 minutes.
Which activities demonstrate ability the most?