Answer:
30 workers are required.
Step-by-step explanation:
If the site measured 30 acres and was completed in 10 days, then it can be said that on average [tex]\frac{30}{10} = 3\frac{acres}{day}[/tex] were made.
Then, 24 workers completed 3 acres / day.
Then, [tex]\frac{24.workers}{\frac{3acres}{day}} = \frac{8..Workers * days}{acre}[/tex]
8 workers can complete 1 acre per day
Now to know how many workers are needed to complete 45 acres in 12 days, we multiply:
[tex]8\frac{Workers * days}{acre}*\frac{45}{12} \frac{acres}{days} = 30.workers[/tex].
Finally, 30 workers are required.
To solve this problem it was assumed that everyone worked at the same pace, which may not be true, the fact that some work at a slower or faster pace than another could alter the result, causing them to finish less or more acres by day.
how many times does 3 go into 22
7 1/3 because 7 times 3 equals 21 then you add 1 and it makes 7 and 1/3
Divide 3 with 22
22/3 = 7.33 repeating
7.33 = 7 1/3
3 goes into 22 7 1/3 of a time
hope this helps
How do you convert a fraction or decimal to a degree?
To convert a fraction or decimal to a degree, convert the fraction to a decimal if necessary, and then multiply by 360 to get the degree measurement.
Explanation:The question is about how to convert a fraction or decimal to a degree, which is fundamentally a process of unit conversion. While the base information provided relates to converting decimals to percents and vice versa, converting to degrees requires a different approach.
To convert a decimal to a degree, you need to understand that one whole turn (360 degrees) equals a value of 1 in decimal form. If you have a decimal, you simply multiply it by 360 to get the degree measure. For a fraction, you convert it to a decimal by dividing the numerator by the denominator and then multiply by 360 to convert to degrees.
For example, to convert the fraction 1/2 to degrees, first convert it to a decimal (1 divided by 2 equals 0.5), then multiply by 360 to get 180 degrees. Similarly, to convert the decimal 0.25 to degrees, you would multiply 0.25 by 360 to get 90 degrees.
What is the value of x?
This is an isosceles triangle. Therefore |AC| = |BC|.
2x = 3x - 5 |subtract 3x from both sides
-x = -5 |change the signs
x = 5CAN SOMEONE PLEASE HELP ME!!!!!
The probability is 15%.
The answer you are looking for is 15%.
To find this answer, you must add up all the CDs to find the total. The total number of CDs is 40, which you divide into 6 (6/40). In doing so, you'll get 0.15, which you multiply by 100 to make it a percent. Thus making the answer 15%.
I hope this helps!
A plane traveled 2135 miles with the wind in 3.5 hours and 1855 miles against the wind in the same amount of time. Find the speed of the plane in still air and the speed of wind.
Answer:
The speed of air in still air =570 mph and
speed of wind = 40 mph
Step-by-step explanation:
Given that plane travelled 2135 miles in 3.5 hours with the wind.
Let the velocity of plane be x and that of wind be y.
Then with the wind speed =x+y and
against the wind the speed = x-y
Use distance = time x speed
Since travelled 2135 miles in 3.5 hours we have
2135 = 3.5 (x+y) ... i
Similarly with x-y speed it travelled 1855 miles in 3.5 hours
i.e. 1855 = 3.5(x-y) ... ii
Solving these two we can get x and y
i-ii gives
3.5y+3.5y = 2135-1855 = 280
i.e. 7y =280
Or y = 40 mph
Substitute in i
3.5(x+40) = 2135
x+40 = 610
x = 570 mph
Hence the speed of air in still air= x =570 mph and
speed of wind = 40 mph
To find the speed of the plane in still air and the speed of the wind, set up a system of equations using the given information and solve them simultaneously.
Explanation:To find the speed of the plane in still air and the speed of the wind, we can set up a system of equations using the given information. Let's call the speed of the plane in still air 'p' and the speed of the wind 'w'.
Given that the plane traveled 2135 miles with the wind in 3.5 hours, we can represent this as p + w = 2135/3.5.
Similarly, given that the plane traveled 1855 miles against the wind in 3.5 hours, we can represent this as p - w = 1855/3.5.
Solving these two equations simultaneously will give us the values of 'p' and 'w'.
Learn more about Speed of plane and wind here:https://brainly.com/question/4721806
#SPJ3
Pls help I’ll put in 25
given -2(x + 1) = 5x + 4 - x ( distribute left side )
-2x - 2 = 4x + 4 ( simplifying both sides )
subtract 4x from both sides
- 6x - 2 = 4 ( add 2 to both sides )
- 6x = 6 ( variable by itself on left side )
divide both sides by - 6
x = [tex]\frac{6}{-6}[/tex] = - 1
as a check, substitute x = - 1 into the equation and if both sides are equal then it is the solution.
left side = - 2(-1 + 1 ) = - 2 × 0 = 0
right side = (5 × - 1) + 4 - (- 1) - 5 + 4 + 1 = 0
hence x = - 1 is the solution
9 minutes!!!!!!!!!!!!!!!
Substitute y = x - 4 to the first equation:
-3x + 4(x - 4) = -20 use disrtibutive property
-3x + (4)(x) + (4)(-4) = -20
-3x + 4x - 16 = -20 add 16 to both sides
x = -4
Substitute the value of x yo the equation y = x - 4:
y = -4 - 4 = -8
Answer: (-4, -8)which value x makes the equation 0.75(x+20)=2+0.5(x-2)
0.75(x+20)=2+0.5(x-2)
Distribute on both sides
0.75x+15= 2+0.5x-1
Add common factors
0.75x+15=1+0.5x
Subtract 0.5x on both sides
0.25x+15=1
Subtract 15 on both sides
0.25x=-14
Divide by 0.25 on both sides
x = -56
The value of x that will make both equations to be equivalent to each other is = -56
From the equation:
0.75(x + 20) = 2 + 0.5(x - 2)
Open brackets
0.75x + 15 = 2 + 0.5x - 1
Collect like terms
0.75x - 0.5x = 2 - 1 - 15
0.25x = - 14
Divide both sides by 0.25
[tex]\mathsf{\dfrac{0.25x}{0.25} =\dfrac{ - 14}{0.25}}[/tex]
x = -56
Therefore, we can conclude that the value of x that will make both equations to be equivalent to each other is -56
Learn more about solving algebraic equations here:
https://brainly.com/question/953809?referrer=searchResults
You created a new playlist in 100 of your friends listened to it and shared if they likedThe new playlist or not nadhi said the ratio Of people who liked the playlist to those who did not like the playlist is 75:25 Dylan said that for every three people who like to playlist one person did not Do Nadhii and Dylan Agree explain why or why not
Given
You created a new playlist in 100 of your friends listened to it and shared if they liked
The new playlist said the ratio Of people who liked the playlist to those who did not like the playlist is 75:25.
Dylan said that for every three people who like to playlist one person did not
Find out Do Nadhii and Dylan Agree or not.
To proof
As given in the question
created a new playlist in 100 of your friends listened to it and shared if they liked
new playlist said the ratio Of people who liked the playlist to those who did not like the playlist is 75:25.
Simply the ratio of people who liked the playlist to those who did not like the playlist
[tex]= \frac{75}{25}[/tex]
[tex]= \frac{3}{1}[/tex]
Thus
[tex]\frac{People \ like \ the \ playlist}{People \ didnot \ like \ the\ playlist}=\frac{3}{1}[/tex]
also
Dylan said that for every three people who like to playlist one person did not
In the form of ratio written as
[tex]\frac{People \ like \ the \ playlist}{People \ didnot \ like \ the\ playlist}=\frac{3}{1}[/tex]
the value of both new playlist and Dylan said about the ratio of people who liked the playlist to those who did not like the playlist is 3:1.
The value both of their ratio are equivalent .
Thus Nadhii and Dylan Agree
Hence proved
Vanessa wants to cover her closet floor with tile’s that are 1/3 feet on each side the closet is 3 1/3 feet wide on a 6 foot deep. How many towels with Vanessa need to cover the closet floor
She will need 51
3.4 multiple by 6 for the sq feet then multiple by 3.4 which gives
24.4 sq feet divided by .4 is 51
Answer:
180 tiles.
Step-by-step explanation:
We have been given that Vanessa wants to cover her closet floor with tile’s that are 1/3 feet on each side the closet is 3 1/3 feet wide on a 6 foot deep.
To find the number of tiles needed to cover the closet floor, we will divide area of closet floor by area of each tile as:
[tex]\text{Area of closet floor}=3\frac{1}{3}\text{ feet}\times 6\text{ feet}[/tex]
[tex]\text{Area of closet floor}=\frac{10}{3}\text{ feet}\times 6\text{ feet}[/tex]
[tex]\text{Area of closet floor}=10\text{ feet}\times 2\text{ feet}[/tex]
[tex]\text{Area of closet floor}=20\text{ feet}^2[/tex]
[tex]\text{Area of each tile}=\frac{1}{3}\text{ feet}\times \frac{1}{3}\text{ feet}[/tex]
[tex]\text{Area of each tile}=\frac{1}{9}\text{ feet}^2[/tex]
[tex]\text{Tiles needed to cover the closet floor}=20\text{ feet}^2\div \frac{1}{9}\text{ feet}^2[/tex]
Convert into division problem by flipping the fraction:
[tex]\text{Tiles needed to cover the closet floor}=20\times\frac{9}{1}[/tex]
[tex]\text{Tiles needed to cover the closet floor}=180[/tex]
Therefore, Vanessa needs 180 tiles to cover the closet floor.
combine terms to simplify. 93a-3b-10a+6
93a - 3b - 10a + 6 = (93a - 10a) + (-3b) + (6) = 83a - 3b + 6
What is the area, in square feet, of a section of pavement that is 20 ft wide and 100 yd long?
a. 6,000 ft2
b. 2,000ft2
c. 640 ft2
d. 240 ft2
Answer:
Correct option is:
a. 6,000 ft²
Step-by-step explanation:
A pavement is 20 ft wide and 100 yd long
1 yd= 3 ft
100 yd = 300 ft
we have to find the area of pavement
Area= Length × Width
= 300 ft × 20 ft
= 6000 ft²
Hence, Correct option is:
a. 6,000 ft²
Ram is twice as old as Sheeta. Five years ago his age was three times the age of Sheeta. Then the age of Sheeta is
Final answer:
Using the information that Ram is twice as old as Sheeta and that five years ago his age was three times the age of Sheeta, we solve the equation 2S - 5 = 3(S - 5) to find that Sheeta's current age is 10 years old.
Explanation:
The question involves creating equations based on the given information to solve for Sheeta's age. Let's denote Sheeta's age as 'S' and Ram's age as '2S' since Ram is twice as old as Sheeta. According to the second statement, five years ago Ram's age was three times Sheeta's age at that time. Therefore, we can write the equation as 2S - 5 = 3(S - 5).
Solving the equation step-by-step:
This simplifies to -S = -10
Hence, Sheeta's current age is 10 years old.
The equation -x = y + 7 written in slope-intercept form is
y = x + 7
y = -x - 7
y = -x + 7
I think that it's B, y = -x - 7 because first you'd subtract y to get it on the other side then add x and then you'd need to make the y positive so you would divide x + 7 by -1 and that would make it y = -x - 7.
Answer:
Step-by-step explanation:
Start with -x = y + 7. Subtract 7 from both sides. Then y = -1x - 7. This is the equation in slope-intercept form.
how would you find the ordered pair for point H
Kim rented a bike from Kayla’s bikes. It cost $20 Plus $8 per hour. If Kim paid $52, then she rented the bike for how many hours?
x = the number of hours
write an equation of the problem: 8x + 20 = 52
subtract 20 from each side: 8x = 32
divide each side by 8: x = 4
she rented the bike for 4 hours.
The sum of 6 and 3 divided by the difference of 6 minus 3
The sum of 6 and 3: 6+3
The difference of 6 minus 3: 6-3
The sum of 6 and 3 divided by the difference of 6 minus 3: [tex]\frac{6+3}{6-3}[/tex][tex]=\frac{9}{3}=3[/tex]
I hope this helps :)
Final answer:
To solve the expression given in the question, perform subtraction first (6-3), then addition (6+3), and finally, divide the sum by the difference to get the answer, which is 3.
Explanation:
The question asks us to find the sum of 6 and 3 divided by the difference of 6 minus 3. To find this, we must apply the order of operations, also known as PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, Addition and Subtraction from left to right).
Firstly, let's find the difference of 6 minus 3:
6 - 3 = 3.
Now we shall find the sum of 6 and 3:
6 + 3 = 9.
Lastly, we divide the sum by the difference we found earlier:
9 / 3 = 3.
So the answer to the question is 3.
f(x) = 1 x g(x) = x − 4 Can you evaluate (g ○ f)(0)? Explain why or why not.
Answer:
To evaluate the composition, you need to find the value of function f first. But, f(0) is 1 over 0, and division by 0 is undefined. Therefore, you cannot find the value of the composition.
Step-by-step explanation:
NO, because the resulting function for (g ○ f)(0) tends to infinity
An undefined term or function is a term or function that does not exsit.
A composite function is a function that is placed in another function.
Given the functions
f(x) = 1/x g(x) = x − 4
Before we can calculate the composite function (g ○ f)(0), we ned to first calculate (g ○ f)(x) as shown:
(g ○ f)(x) = g(f(x))
g(f(x)) = g(1/x)
Substitute x as 1/x in g(x) as shown:
[tex]g(f(x)) =g(\frac{1}{x} )\\g(\frac{1}{x} )=(\frac{1}{x}-4 )\\Find \ the \ LCM\\g(\frac{1}{x} )=(\frac{1-4x}{x} )\\[/tex]
NExt is to check whether we can evaluate (g ○ f)(0) by substituting x = 0 into the resulting function as shown:
[tex]g(f(0) )=(\frac{1-4(0)}{0} )\\g(f(0) )=(\frac{1}{0} )\\g(f(0) )=\infty[/tex]
We can see that the resulting function tends to infinity which shows that g ○ f)(0) cannot be evaluated.
Learn more here: https://brainly.com/question/12276999
Which of the following shoes the graph of the inequality y> -x -2?
we have that
[tex]y > -x-2[/tex]
using a graphing tool
see the attached figure
The solution is the shaded area above the dashed line
The slope of the line is m=-1
The x-intercept is the point (-2,0)
The y-intercept is the point (0,-2)
therefore
the answer in the attached figure
if 6 sandwich rolls cost $1.44, how much will 26 rolls cost?
$6.24. This is because 1.44 / 6 = 0.24, and 0.24 x 26 = 6.24.
the answer is $37.44
I Need help please I don’t understand this
Remember that parentheses come first. Follow PEMDAS
Which statement most accurately summarizes the text? forensic science version.
A.Criminal investigators still solve crimes in the same manner Sherlock Holmes solved crimes many years ago.
B.Forensic science is a complicated process that relies too much on human perception and not enough on actual scientific evidence.
C. From the several types of evidence that can be presented at trial, including eyewitness testimony, forensic evidence is the most reliable.
D. Solving crimes involves law enforcement officials working together to gather many types of evidence to construct a clear picture of a crime.
I feel the best answer would be c
Does 14.2857143 round to a whole number
Answer:
Yes it can be rounded to the nearest whole Number 14
Step-by-step explanation:
i need help asap I don't get this
The correct answer is C. They are going down by 3.
simplify (2 x 10^3) (4 x 10^-5)
the answer to this problem is 2/25. I got this by simplifying both exponents which changes the equation to (2)(1000)(4)(1/100000). Then you multiply the other numbers by its simplified exponent and makes the equation 2000(1/25000). The last step is to multiply those two and you get your answer, 2/25(simplified version) :)
To simplify (2 x 10^3) (4 x 10^-5), you multiply the numbers 2 and 4 to get 8 and add the exponents +3 and -5 to get -2, giving the final result of 8 x 10^-2.
Explanation:To simplify the expression (2 x 10^3) (4 x 10^-5), you need to multiply the numbers (2 and 4) and the exponents of 10 (+3 and -5) separately. To multiply 2 and 4, you get 8. When multiplying numbers with exponents, you add the exponents together. So, 10^3 multiplied by 10^-5 is the same as 10^(3 - 5), or 10^-2. So the answer is 8 x 10^-2.
Learn more about Exponents here:https://brainly.com/question/5497425
#SPJ2
If y = 6x - 4 which of the following sets represents possible inputs and outputs of the function represented as ordered pairs?
(0,-4) (1,2) (3,14)
(5,20) (2,10) (-1,-3)
(-3,-15) (6,25) (3,5)
(4,18) (0,10) (0,-2)
The only of these that is a proper set of ordered pairs for this equations is A) (0,-4) (1,2) (3,14)
In order to prove this, you need to put each ordered pair into the equation and prove that it is a true statement. Below are the examples of this for A.
(0, -4)
y = 6x - 4
-4 = 6(0) - 4
-4 = 0 - 4
-4 = -4 (TRUE)
(1, 2)
y = 6x - 4
2 = 6(1) - 4
2 = 6 - 4
2 = 2 (TRUE)
(3, 14)
y = 6x - 4
14 = 6(3) - 4
14 = 18 - 4
14 = 14 (TRUE)
Therefore, each of these ordered pairs works in the equation.
The set of ordered pair which is representing the inputs and outputs of the given function is (0,-4) (1,2) (3,14)
What are functions?A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.
Given that, is a function, y = 6x - 4, we need to identify the possible inputs and outputs of the function from the given ordered pairs,
To find the same, we need to put each ordered pair into the equation,
(i) (0, -4)
y = 6x - 4
-4 = 6(0) - 4
-4 = 0 - 4
-4 = -4 [correct]
(ii) (1, 2)
y = 6x - 4
2 = 6(1) - 4
2 = 6 - 4
2 = 2 [correct]
(iii) (3, 14)
y = 6x - 4
14 = 6(3) - 4
14 = 18 - 4
14 = 14 [correct]
Therefore, each of these ordered pairs satisfy the equation.
Hence, the set of ordered pair which is representing the inputs and outputs of the given function is (0,-4) (1,2) (3,14)
Learn more about functions, click;
https://brainly.com/question/12431044
#SPJ5
i need help with this riddle
Clue 1 : My number has two digits,and both digits are even.
Clue 2: the sum of my numbers digits is 10.
Clue 3. My number has 4 as a factor.
Clue 4 the difference between the two digits of my number is 6 .
If we see first option: A. 28.
a) Both digits 2 and 8 are even.
b) Sum of 2 and 8 is 10.
c) 28 has a factor 4.
d) Difference between 8 and 2 is 6.
Therefore, correct option is A. 28.
Answer:i would say A)28
Step-by-step explanation:
Benjamin had 1/2 lb of modeling clay. He used 1/5 lb on Monday and another 1/4 lb on Tuesday. How many pounds of clay does Benjamin have left after Tuesday? Enter your answer in simplest fractional form in the box.
Answer: 1/20 pounds
Step-by-step explanation:
Hi, to answer this question we have to analyze the information given:
Modeling clay available: 1/2lb Modeling clay used: 1/5 lb on Tuesday and 1/4 on Tuesday.So, we have to subtract the amount of clay used (1/5 +1/4) to the amount of clay available (1/2).
Mathematically speaking:
1/2 lb - ( 1/5 lb +1/4 lb) =
1/2 lb - 9/20 lb = 1/20 lb = 1/20 pounds
Combine like terms 12p-10(p-5)
Simplifying
2(3(4 + p) + p) + p
2((4 * 3 + p * 3) + p) + p
2((12 + 3p) + p) + p
Combine like terms: 3p + p = 4p
2(12 + 4p) + p
(12 * 2 + 4p * 2) + p
(24 + 8p) + p
Combine like terms: 8p + p = 9p
24 + 9p
solve the proportion.if necessary round to the nearest hundredth y_10÷6=7÷10
1.7=0.7 is the answer