Given:
45 people will accomplish the given task in 15 days.
To find:
Days taken by 15 people to complete the same task.
Solution:
Since, 45 people of a company can finish a work in 15 days
Therefore, 1 person can accomplish the task in days = [tex]15\times45[/tex]
= [tex]675[/tex] days
15 people will accomplish the same task in number of days = [tex]\frac{675}{15}[/tex]
= [tex]45[/tex]
Therefore, number of days taken by 15 people to accomplish the same task will be 45 days.
Learn more about the inverse relation,
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14 is what percentage of 100?
Answer:
14%
Step-by-step explanation:
Answer:
14%
Step-by-step explanation:
It is like subtraction, if you do 14 - 100 you get 86 so you took away 14 from 100 so you would get 14%
i’m literally over here crying bc i can’t figure this out. if i don’t turn it in before an hour i get an F. PLEASE HELP. the question is “the diameter of the semicircle below is 12 yards. find the area and perimeter” you don’t have to do both numbers just pls let me know what one you solve. you can even only do area. i just rlly need help.
Answer:
Area = 346.2yd²
Perimeter = 72.1yd
Step-by-step explanation:
AREA
Split it into three shapes: (1) the semi-circle, (2) the triangle, and (3) the rectangle. Find the area of each and then add them together for the area of the whole shape.
Area₁ = πr² = (6²)π = 36π = 113.1 yd²
Area₂ = (1/2)bh = (1/2)(11.3)(14) = 79.1 yd²
Area₃ = lw = (11)(14) = 154 yd²
154 + 79.1 + 113.1=346.2yd²
PERIMETER
The perimeter consists of the length of the curve on the semi-circle, the top , the right side, the bottom, and the slanted line.
length of the curve on the semi-circle = half the cicumference of circle with radius 6 = (2π(6))/2 = 6π = 18.8
the top = 22.3
the right side = 14
the bottom = 11
the slanted line = the hypotenuse of triangle(2) - the diameter of circle(1) = (√(11.3²+14²))-12= (√(323.69))-12=18-12=6
18.8+22.3+14+11+6=72.1yd
I need help with angles
Answer:
1. ∠CFD = 28°
2. ∠RPQ = 53°
Step-by-step explanation:
For the first one:
∠CFD and ∠DFE are angles on a straight line
Angles on a straight line add up to equal 180
That being said we can find the missing angle (∠CFD) by subtracting the given angle measure (152°) from 180
so ∠CFD = 180 - 152
180 - 152 = 28
Hence, ∠CFD = 28°
For the second one:
Complementary angles have a sum of 90°
If ∠RPQ and ∠SPR are complementary angles we can find the missing angle ( ∠RPQ in this case ) by subtract the given angle measure ( 37° ) from 90
so ∠RPQ = 90 - 37
90 - 37 = 53
Hence , ∠RPQ = 53°
Simplify the expression 2 • (3 + 5 − 1) • 2
Patrick is hanging supports on the
wall for a shelf. What is the measure
of the unknown angle?
Answer:
55
Step-by-step explanation:
straight lines are always 180.
[tex]180=125+x\\180-125=125+x-125\\55=x[/tex]
Avocado Pickers are paid as shown below. What would be the gross
earnings for a worker that picks 1,108 avocados?
1 - 500 Avocados $0.10 each
501 - 700 Avocados $0.14 each
Over 700 Avocados $0.18 each
Answer:
The avocado picker earned $151.44.
Step-by-step explanation:
Given that avocado pickers are paid $ 0.10 if they collect from 1 to 500 avocados, $ 0.14 if they collect from 500 to 700 and $ 0.18 if they collect more than 700, to determine what would be the gross earnings for a worker that picks 1,108 avocados, the following calculation must be done:
1,108 - 700 = 408
700 - 500 = 200
500 x 0.10 + 200 x 0.14 + 408 x 0.18 = X
50 + 28 + 73.44 = X
151.44 = X
Therefore, the avocado picker earned $151.44.
Write a compound interest function to model the following situation. Then, find the balance after the given number of years. $16,000 invested at a rate of 1.2% compounded monthly;7 years
A. A=16,100 (1.001)^7t; $17,469
B. A=16,100 (1.1)^12t; $6,766,377,209
C. A=16,100(1.001)^12t; $17,510
D. A=16,000(0.001)^12t; $24,150
Answer:
The answer to this question is:
A = 16,100(1.001)12t; $17,510
Step-by-step explanation:
The model function for compound interest is: [tex](16000[1.001]^{12t})[/tex]
The balance after 7 years will be $17409.
How to calculate the compound interest if it is compounded monthly?Let, P = the principle amount
r = the rate of interest, compounded monthly
t = the time period
Therefore, the amount will be
[tex]= P(1 + \frac{r}{1200})^{12t}[/tex]
Given, the invested amount is $16000.
The rate of interest is 1.2%, compounded monthly.
Total duration of investment is 7 years.
Therefore, the model function of this compound interest is:
= [tex]= (16000[1 + \frac{1.2}{1200}]^{12t})\\= (16000[1 +0.001]^{12t})\\= (16000[1.001]^{12t})\\[/tex]
The amount will be
[tex]= (16000[1.001]^{12t})\\= (16000[1.001]^{84})\\= 17409[/tex]
Therefore, after 7 years, the amount will be $17409.
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A triangle has angles measuring 23 and 48 degrees. What is the measure of the third angle?
Answer:
109
Step-by-step explanation:
Hope this helped :)
Answer: The answer is 48 degrees hope this helped
Step-by-step explanation:
Find the range of the data
5,9,13,6,4,5,8,12,12,6
Answer:
9
Step-by-step explanation:
highest value: 13
lowest value: 4
13-4= 9 which is the range
Answer: 9
Step-by-step explanation: 13-4=9
Nathaniel, a meteorologist, keeps track of the amount of rain each year relative to the amount of rain in
2000. Two years of data are shown in the table below.
Year
Amount of rain relative to 2000 (in cm)
2004
27
2005
-49
Which one of the following inequalities correctly compares the relative amounts of rain?
Choose 1 answer:
27 <-49
-4927
Which one of the following descriptions is correct?
Choose 1 answer:
There was less rain in 2004 than in 2005.
there was less rain in 2005 than in 2004
Answer:
Both answers are the first option.
Step-by-step explanation:
Question 1: 27 is greater than -49, so that is why the first option for question one is correct.
Question 2:-49 is less than 27 so that is why 2005 had less rain compared to 2004.
The correct inequality comparison is 27 > -49.
The correct description is: There was less rain in 2005 than in 2004.
What is inequality?Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.
When we compare the relative amounts of rain in the table, we see that the amount of rain in 2005 (-49 cm) is less than the amount of rain in 2004 (27 cm).
The correct inequality comparison is: 27 > -49
The minus sign in front of 49cm in 2005 indicates that the amount of rain is less than the amount of rain in 2000.
So, the correct description is: There was less rain in 2005 than in 2004.
Learn more about inequalities here:
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100=x^2+y^2
0=3x+4y
This sentence is to fill characters
Answer:
1. 100=x^2+y^2 Look at the picture
2. 0=3x+4y Look at the picture
Step-by-step explanation: Hope this help :D
plzzz help will
mark the brainliest!!
9514 1404 393
Answer:
x = 10
Step-by-step explanation:
In a parallelogram, adjacent angles are supplementary.
(9x +15) +(6x +15) = 180
15x +30 = 180 . . . . . . . . . . simplify
15x = 150 . . . . . . . . . subtract 30
x = 10 . . . . . . . . divide by 15
A 12-sided die is rolled. The set of equally likely outcomes is {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12} . Find the probability of rolling a number greater than 18.
Answer:
the probablity of rolling a number greater than 18 is 0
Step-by-step explanation:
mark me as brainliest
Answer:
The probability is 0 since there is no outcome that gives him a role greater than 18
Please mark as braniest if this is what you are looking for
help please ! need asap
Answer:
x° = 139
step 1 :
180 - (37 + 38)
= 180 - 75
= 105°
step 2 :
180 - 105
= 75°
step 3 :
180 - 116
= 64°
step 4 : this step to find the value of x
x° = 180° - (64 + 75)°
= 180° - 139°
= 41
x° = 41
#CMIIW20 points! Please help
A population has a standard deviation of 7.89. What is the approximate standard error of the mean for a sample size of 300?
A.
0.026
B.
0.46
C.
17.32
D.
2.20
Using the Central Limit Theorem, it is found that the approximate standard error of the mean for a sample size of 300 is given by:
B. 0.46
What does the Central Limit Theorem State?It states that the sampling distribution of sample means of size n from a population with standard deviation [tex]\sigma[/tex] has standard error [tex]s = \frac{\sigma}{\sqrt{n}}[/tex]
In this problem, we have that the parameters are [tex]\sigma = 7.89, n = 300[/tex], hence the standard error is given by:
[tex]s = \frac{7.89}{\sqrt{300}} = 0.46[/tex]
Hence option B is correct.
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The area of a pasture is 4200 m and the perimeter is 260 m. What are the length and width of the pasture?
Answer:
70 m and 60 m
Step-by-step explanation:
The formula for the area of a rectangle is length ⋅ width.
The area of the pasture of 4200 meters.
70 ⋅ 60 = 4200.
The formula for the perimeter of a rectangle is side + side + side + side.
The perimeter of the rectangle is 260 meters.
70 + 60 + 70 + 60 = 260.
Therefore, the length and width of this pasture are 70 meters and 60 meters.
Bradley needs at least $280 for a new laptop. He has already saved $40. He earns $8 an hour at his job.
Write and solve an inequality to find how many hours he will need to work to buy the system. Interpret
the solution.
Answer:
so sorry if i am late
Step-by-step explanation:
Your friend Shawn tells you that he had been practicing flipping coins so that they will land on heads more frequently than tails. He claims that he can now flip a coin and the probability it will land on heads is 9/10.
PART A
Do you believe him?
A
yes
B
no
Answer:
Yes because I believe my friend
Step-by-step explanation:
200 cm = m 4pijwedougfehdgijhskjghskdghksdjgh
Answer:
b
Step-by-step explanation:
find the value of x in the Triangle shown below
x=?
Answer:
Step-by-step explanation:
We know there are 180° in EVERY triangle. Given one angle is 58°
This triangle shown has two sides that are the same, both are 6. The value of those two sides is irrelavent, except for the fact that this is an Isosceles triangle and the angle opposite those two sides are equal.
x + x + 58 = 180
2x + 58 = 180
2x = 180 -58
2x = 122
x = 61
5. At Michael's store, a paint set is on sale for $39.99. The original price was
$66.65. What percent of the original price is the sale price?
PLS HURRY
around 50%
Step-by-step explanation:
because 30 of half of 60
Answer:
$ 26.66
Step-by-step explanation:
Minus the orignal price and the sale price and then you will get the answer
What is the volume of a sphere with a diameter of 15 cm?
Answer:
V≈1767.15cm³
Step-by-step explanation:
Using the formulas
V=43πr3
d=2r
solving for v
V=16πd3=16·π·153≈1767.14587cm³
hope i helped plz mark me brainlest
Please help me I'm so bad at math and doing AFDA really doesn't help..
substitution of a,b,c in this equation
Answer:
2, 1 and -3
Step-by-step explanation:
Given the quadratic expression
x^2+2x = 3
Write in standard format
x^2+2x-3 = 0
Get the value of a, b and c
The standard form is ax^2+bx+c = 0
ax^2 = x^2
a = 1
bx = 2x
b = 2
c = -3
Substitute into the general formula
x = -b±√b²-4ac/2a
x = -2±√(2)² - 4(1)(-3)/2(1)
The correct values are the values in bold format
-8 < x/4
I need the answer ASAP
Answer:
2/3 I think, If not please tell me !
giving brainliest !!! *easy*
Answer: 600 sq cm
Step-by-step explanation: Each side is 100 cm^2, and there are a total of 6 sides. 100•6=600.
Hope this helps!
Answer:
SA = 600
Step-by-step explanation:
A cube has six sides.
The formula to find the SA of a cube is 6a^2
6 x 10^2 = 6 x 100 = 600
Help please 20 points for anyone
Answer:
The answer is B!
Step-by-step explanation:
I hope this helps! Have a great rest of your day!
15) Which coordinate pair identifies a point in Quadrant III of the coordinate plane?
A) (2,3)
B) (-2,3)
C (2, 3)
D (-2, -3)
Help me and give me the answer please no scammers
Answer:
r = 84
Step-by-step explanation:
2pir
2(3)(14)
6(14)
84
Find the value of X. geometry!! only answer if you know how please !
Answer:
x = 136
Step-by-step explanation:
This one is quite simple
The shape formed inside of the circle is a quadrilateral.
when a quadrilateral is formed inside of a circle opposite angles of the quadrilateral will add up to 180
we are given x's opposite angle so we can find x by subtracting the given angle's measure (44) from 180
so x = 180 - 44
180 - 44 = 136
hence, x = 136
Match each inequality to the number line that represents its solution. x – 99 ≤ -104 x – 51 ≤ -43 150 + x ≤ 144 75 < 69 – x
