There are approximately 160 acres in a lot that is 1/2 mile by 1/2 mile.
To find the number of acres in a lot, you can use the following formula:
Number of acres = (length in feet) x (width in feet) / 43,560
First, convert the length and width from miles to feet. There are 5,280 feet in a mile, so:
Length in feet = 1/2 mile x 5,280 feet/mile = 2,640 feet
Width in feet = 1/2 mile x 5,280 feet/mile = 2,640 feet
Next, plug these values into the formula:
Number of acres = (2,640 feet) x (2,640 feet) / 43,560 = 174,240,000 / 43,560 = 160 acres
Therefore, there are approximately 160 acres in a lot that is 1/2 mile by 1/2 mile.
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Tre has 10 pencils and will has 14 pens what is the ratio of pencils to pens
The ratio of pencils to pens can be calculated by dividing the number of pencils by the number of pens. In this case, the ratio of pencils to pens is 10/14.
A ratio is a way to compare two or more values or quantities. It is expressed as a fraction or as a colon-separated pair of numbers. The first number in the ratio represents the number of units of the first quantity, and the second number represents the number of units of the second quantity.
In the case of the ratio of pencils to pens, the first quantity is the number of pencils and the second quantity is the number of pens. To calculate the ratio, you divide the number of pencils by the number of pens. In this case, you would divide 10 by 14, which is equal to 10/14 or 5/7.
The ratio can be expressed as either a fraction or as a colon-separated pair of numbers. In this case, the ratio of pencils to pens is either 5/7 or 5:7.
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a vendor at the basket ball game go to 405 bottles of water on Saturday she sold 127 fewer bottles on Sunday she sold 178 bottles on Sunday
The correct answer is 178 bottles of water sold on Sunday.
What is vendor ?Vendor is a person or a company that sells goods or services. The term is commonly used to refer to individuals who sell items at events, markets, or street stalls. Vendors may sell a variety of products, including food, drinks, clothing, accessories, and more
If the vendor sold 405 bottles of water on Saturday, and sold 127 fewer bottles on Sunday, then on Sunday she sold 405 - 127 = 278 bottles of water.
However, the question states that she actually sold 178 bottles of water on Sunday, so the number of bottles she sold on Sunday was incorrect.
The correct answer is 178 bottles of water sold on Sunday.
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HELP!!
A plane left Kennedy Airport on Tuesday morning for a 730-mile, 6-hour trip. For the first part of the trip, the average speed was 115 mph. For the remainder of the trip, the average speed was 125 mph. How long did the plane fly at each speed?
A. First part of trip: __ h
B. Second part of trip: __ h
The first part of the trip took approximately 6.39 hours and the second part of the trip took approximately 5.84 hours.
Solving for Time and Average Speed in a Two-Part Plane TripIn this problem, we are given the distance, total time, and average speeds for two parts of a plane trip.
Using the formula for average speed
Distance = average speed x time,
We can set up two equations and solve for the times spent flying at each speed.
We define t₁ as the time spent flying at 115 mph and t₂ as the time spent flying at 125 mph.
From the equation
730 miles = 115 mph x t₁,
we solve for t₁ and get
t₁ = 6.391304347826087 hours.
Similarly, from the equation
730 miles = 125 mph x t₂,
we solve for t₂ and get
t₂ = 5.84 hours.
Therefore, the plane flew at an average speed of 115 mph for approximately 6.39 hours and at an average speed of 125 mph for approximately 5.84 hours.
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Vocabulary Explain how to isolate the variable in the eqaution -2/3n = 7 + 15
The variable n in the original equation -2/3n = 7 + 15 is equal to -12.
What is equation?Equation is a physical and mathematical statement that describing physical phenomena and the relationship between different physical quantity typically consist of variable simple presenting physical quantity and then it personal variable maybe pointed search is the energy.
In order to isolate the variable in the equation -2/3n = 7 + 15, the first step is to subtract 7 from each side of the equation. This results in -2/3n = 8. Next, multiply each side of the equation by 3 to cancel out the 3 in the denominator. This leaves -2n = 24. Finally, divide each side of the equation by -2 to isolate the variable n. This results in the equation n = -12. Therefore, the variable n in the original equation -2/3n = 7 + 15 is equal to -12.
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Which of the following shows 87 and 1/2% as a fraction? 7/8, 5/8, -8/75, none of these
On solving the provided question we can say that 7/8 show 87 and 1/2% as a fraction
what is fraction?Any number of equal parts or fractions can be used to represent a whole. Standard English fractions indicate how many units of a particular size there are. 8, 3/4. Whole contains fractions. The numerator to denominator ratio is a way of representing numbers in mathematics. Each of these is a simple fractional integer. A complex number has a fraction in its numerator or denominator. A proper fraction has a numerator that is smaller than the denominator. A fraction is a sum that is part of a grand total. It can be evaluated by breaking it down into smaller parts. For example, a whole number or half article is represented as 12.
7/8 show 87 and 1/2% as a fraction
87 and 1/2% should be written as 87.5%
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How to figure out the area of a right angle triangle
The area of a right triangle can be found by multiplying half of the length of the base by the height.
The formula for the area of a right triangle is:
Area = (1/2) * base * height
It is important to note that the base and height must be perpendicular to each other, forming a right angle in the triangle. If the triangle is not a right triangle, then the area cannot be found using this formula.
To use this formula, simply measure the length of the base and height and plug these values into the formula. The result will be the area of the triangle, expressed in square units.
It is also worth noting that the height and base of a right triangle can be any two sides that form a right angle, not just the sides that are labeled as the base and height.
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0.22, 21%,0.21, 0.22 from least to greatest
0.21, 0.21, 0.22, 0.22 is the sequence from least to greatest.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
0.22, 21%, 0.21, 0.22
Now,
21% = 21/100 = 0.21
So,
0.22, 0.21, 0.21, 0.22
Arranging from least to greatest.
0.21, 0.21, 0.22, 0.22
Thus,
0.21, 0.21, 0.22, 0.22 is the sequence from least to greatest.
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The manager of a farmer's market has 350 lb of grain that costs $1.40 per pound. How many pounds of meal costing $0.80 per pound should be mixed with the 350 lb of grain to produce a mixture that costs $1.10 per pound?
350 pounds of the meal should be added to the grain to produce a mixture that costs $1.10 per pound.
What is meant by addition?
In mathematics, addition is the process of fusing two or more integers. The numbers being added are known as addends, while the outcome of the addition process, or the final response, is known as the sum. It is one of the fundamental mathematical operations we employ on a daily basis. We add numbers in many different contexts.
Let the amount of meal mixed with the grain be 'x' pounds.
Now, Total price of the mixture = x*0.80 + 350*1.40 = (x+350)*1.10
350*(1.40 - 1.10) = x*(1.10 - 0.80)
350*0.3 = x*0.3
x = 350
Therefore, the amount of meal that should be added to the grain is 350 pounds.
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14 Jun 2018 · Norman is 12 years older than Michael. In 6 years, he will be twice as old as Michael. How old is Michael now? (A) 3 (B) 6 (C) 12
Michael is now (B) 6 years old.
Let's start by defining variables for the current ages of Norman and Michael.
Let N be Norman's current age, and M be Michael's current age.
From the problem statement, we know that N = M + 12 (Norman is 12 years older than Michael).
We also know that in 6 years, Norman will be twice as old as Michael.
So we can set up the following equation:
N + 6 = 2(M + 6)
Substituting N = M + 12 into the equation, we get:
M + 12 + 6 = 2(M + 6)
Simplifying:
M + 18 = 2M + 12
M = 6
Therefore, Michael is currently 6 years old.
Answer: (B) 6
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Toilets rolls are sold in packs 4 how many toilet rolls are there 10 packs
Answer:
40
Step-by-step explanation:
To determine the number of rolls, take the number of packs and multiply by the number of rolls per pack.
10 *4 = 40
40 rolls total.
Answer:
40 rolls
Step-by-step explanation:
10 packs * 4 rolls per pack
shandra has a bag that contains pineapple chews, cherry chews, and peach chews. she performs an experiment. shandra randomly removes a chew from the bag, records the result, and returns the chew to the bag. shandra performs the experiment 57 times. the results are shown below: a pineapple chew was selected 8 times. a cherry chew was selected 25 times. a peach chew was selected 24 times. if the experiment is repeated 400 more times, about how many times would you expect shandra to remove a pineapple chew from the bag? round your answer to the nearest whole number.
Shandra is expected to select a pineapple chew about 56 times in the next 400 selections.
Based on the given results, Shandra selected a pineapple chew 8 times out of 57 selections. To estimate the expected number of times she would select a pineapple chew in the next 400 selections, we can use the proportion of pineapple chews selected in the first 57 selections:
The proportion of pineapple chews selected = 8/57
To estimate the expected number of pineapple chews in the next 400 selections, we can multiply the proportion by the total number of selections:
Expected number of pineapple chews in the next 400 selections = (8/57) x 400
expected number of pineapple chews in the next 400 selections = 56.14
Rounding to the nearest whole number, we would expect Shandra to select a pineapple chew about 56 times in the next 400 selections.
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Two sides of a triangle measure 15 inches and 18 inches, respectively. Which of these is NOT a possible length for the third side of the triangle? Responses A 24 inches24 inches B 18 inches18 inches C 4 inches4 inches D 32 inches32 inches E 36 inches
Answer:
e
Step-by-step explanation:
The rule of the sides of a triangle is that the sum of the lengths of any two sides of a triangle is always greater than the length of the third side. This rule is also known as the triangle inequality theorem.
Need step-by-step explanation. Will mark the brainliest. Basically explained this equation as if i am a 5 year old child. (with step of course)
attached is solution. please excuse handwriting.
break up summation into two smaller summation,
then use summation formula for E (x)
word problem using division where the answer is 64
Answer:
Step-by-step explanation:
There are 256 people in a room. If they are divided into groups of 4, how many groups are there?
Answer: 64
Bonus: (up to 5 points) The answer to the clues on the left goes on the first line. When you rearrange the
letters of this answer, you will reveal the word that is the answer to the clue on the right
What we do at night for 7-8 hours
Piece of lumber
Where you buy pastrami, etc/sandwiches (plural)delic slide
Christmas decoration
A direction
north
Sleep
OFFIC
thern
Part of bananas
Wide
A piece of playground equipment
Part of a rose
Answer:
sleep-peels:board-broad:delis-slide:tinsel-silent:north-thorn
Step-by-step explanation:
Those are the corresponding words
on a certain hot summers day, 613 people used the public swimming pool
The number of children and adults in swimming pool is 398 and 224.
What is a linear equation?A linear equation is an equation that has the variable of the highest power of 1. The standard form of a linear equation is of the form;
Ax + B = 0.
We are given that;
Number of people swimming=613
Price of children=$1.75
Price of adults= $2.25
Total= $1184.75
Let, number of children be x
Number of adults be y
Now, the equations will be
x+y=613....1
1.75x+2.25y=1184.75....2
On solving both the equations
X=389, y=224
Therefore, the solution of linear equation will be 389 and 224.
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The complete question is;
on a certain hot Summer's Day 613 people use the public swimming pool the daily prices are $1.75 for children $2.25 for adults the receipts for admission totaled $1184.75 how many children and how many adults when I am at the public for that day
Rectangle ABCD is graphed in the
coordinate plane. The following are the
vertices of the rectangle: A(5,5), B(7,5),
C(7, -1), and D(5, -1).
Given these coordinates, what is the length
of side BC of this rectangle?
Answer:
Rectangle ABCD is graphed in the
coordinate plane. The following are the
vertices of the rectangle: A(5,5), B(7,5),
C(7, -1), and D(5, -1).
Given these coordinates, what is the length
of side BC of this rectangle?
Step-by-step explanation:
scores on a certain test are normally distributed with a variance of . a researcher wishes to estimate the mean score achieved by all adults on the test. find the sample size needed to assure with 95 percent confidence that the sample mean will not differ from the population mean by more than units.
A sample size of 44 is needed to assure with 95% confidence that the sample mean will not differ from the population mean by more than 2.5 units.
To find the sample size needed to assure with 95% confidence that the sample mean will not differ from the population mean by more than 2.5 units, we can use the formula:
n = [ (z * σ) / E ]^2
where n is the required sample size, z is the critical value for the desired confidence level (95% confidence level corresponds to a z-value of 1.96), σ is the population standard deviation (given as the square root of the variance, which is √(70) ≈ 8.37), and E is the maximum error, or the maximum difference between the sample mean and population mean that we are willing to tolerate (which is given as 2.5 units).
Substituting the given values into the formula, we get:
n = [ (1.96 * 8.37) / 2.5 ]^2
n ≈ 43.48
Rounding up to the nearest whole number, we get a required sample size of n = 44.
Therefore, a sample size of 44 is needed to assure with 95% confidence that the sample mean will not differ from the population mean by more than 2.5 units, assuming a normal distribution with a population variance of 70.
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scores on a certain test are normally distributed with a variance of 70 . a researcher wishes to estimate the mean score achieved by all adults on the test. find the sample size needed to assure with 95 percent confidence that the sample mean will not differ from the population mean by more than 2.5 units.
PLEASE HELP!!!!!!!!!!!!!!!!
There is only one pair of solution to the given system.
What is system of equations?In mathematics, a set of simultaneous equations, also known as a system of equations or an equation system, is a finite set of equations for which common solutions are sought.Given is the system of equations as graphed.
The solution of the given system of equations is given by the total number of intersections of the graphed lines. These lines intersect at only one point (1, 4). So, there is only one pair of solution.Therefore, there is only one pair of solution to the given system which is (1, 4).
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One number is 3 less than 4 times a second number. The difference of the
first number and twice the second number is 7. What are the two numbers?
Show your work.
Answer:
atq= let no.be x and y
x= 4y-3.......(1)
x-2y=7....(2)
subtracting both eqn
x-x+2y=4y-3-7
2y=4y-10
-2y= -10
y=5 ........second no.
first no...x=7+2y=7+10=17.......first no.
Step-by-step explanation:
suzy borrows $4500 and agrees to repay it all in equal monthly instalments over 3 years. Simple interest at 7.2% p.a is charged on a loan. find the amount of each instalment
The amount of Suzy's instalment every month if it is agreed to repay equal amount monthly is $152
What is the amount of each instalment?Simple interest = principal × rate × time
= 4500 × 0.072 × 3
= $972
Total amount to repay = $4500 + $972
= $5472
Repayment time = 3 years
Suzy will repay every month
3 years= 12 months × 3
= 36 months
Since,
the repayment is equal every month
Amount of instalment every month= $5472 / 36
= $152
Therefore, Suzy will repay $152 each month instalmentally.
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g is most data likely to be skewed or symmetric? there is no right or wrong here but discuss and take a side on the issue.
Most data is likely to be skewed following a particular trait because when considering real life data, it is likely that it may concentrate on one end of the values on the real line as there is high uncertainty that exists with real life.
There is very little confidence that the population would behave in expected ways.
The skewed distribution implies the distribution that is not symmetrical. If a distribution is skewed it can be skewed to the left i.e. mean lies to the left of the center or skewed to the right i.e. mean lies to the right of the center of the distribution.
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What is the measure of each angle in a regular polygon with 9 sides?
Answer: 140
Step-by-step explanation:
Measure of each angle in a regular polygon can be determined by the equation 180(n-2)/n, where n is the number of sides. Plug in 9 to get 140 degrees.
magic the gathering is a popular card game. cards can be land cards, or other cards. we consider a game with two players. each player has a deck of 40 cards. each player shuffles their deck, then deals seven cards, called their hand. (a) assume that player one has 10 land cards in their deck and player two has 20. with what probability will each player have four lands in their hand? (b) assume that player one has 10 land cards in their deck and player two has 20.with what probability will player one have two lands and player two have three lands in hand? (c) assume that player one has 10 land cards in their deck and player two has 20. with what probability will player two have more lands in hand than player one?
Probability the player two have more lands in hand than player one is:
A) 0.0135
B) 0.102
What is probability?
The probability of an event is a number that indicates how likely the event is to occur. It is expressed as a number in the range from 0 and 1, or, using percentage notation, in the range from 0% to 100%. The more likely it is that the event will occur, the higher its probability.
Here, we have
Given: each player has a deck of 40 cards. each player shuffles their deck, then deals seven cards, called their hand.
A ) probability of each player having four lands in their hand
Given data:
player 1 has 10 land cards
player two(2) having 20 land cards
Hence, the probability can be calculated as
= 0.0135
B) probability of player one having two lands and player two having three lands in hand
Given data:
player one (1) has 10 land cards
player two has 20
Hence, the probability of player one having two lands and player two having three lands in hand can be calculated as attached below
= 0.102
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how many pattern block trapezoids would create 3 hexagons
18 pattern block trapezoids would be needed to create 3 hexagons.
Pattern block trapezoids are geometric shapes used for pattern block activities.
Each hexagon is typically made up of 6 pattern block trapezoids.
To determine the number of pattern block trapezoids required to create 3 hexagons, multiply the number of hexagons by the number of trapezoids in each hexagon.
Number of trapezoids = Number of hexagons × Number of trapezoids in each hexagon
= 3 × 6
= 18
Therefore, 18 pattern block trapezoids would be needed to create 3 hexagons.
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what’s wrong with the question
The graph is wrong because of less than or equal to sign. the correct inequality for the given graph would be y ≥ 3x - 2.
What is inequality?
In Mathematics, the relationship between two values that are not equal is defined by inequalities. Inequality means not equal. Generally, if two values are not equal, we use “not equal symbol (≠)”. But to compare the values, whether it is less than or greater than, different inequalities are used.
The given graph is wrong for the given inequality y ≤ 3x - 2
The correct graph for the given inequality is shown below.
The given graph would be correct for the inequality
y ≥ 3x - 2.
Hence, the graph is wrong because of less than or equal to sign. the correct inequality for the given graph would be y ≥ 3x - 2.
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I need help on this and it’s my last one please help
The number line is completed and attached.
What is a number line?A number line is a straight line that extends in both directions and is used to represent numbers. It is often used to visually demonstrate the relationships between numbers, including ordering and magnitude.
The number line is arranged in steps of 1/4 (fraction) or 0.25 (decimal), this represents the smallest tick marks
The medium sized marks represents the 0.5 line while the largest line mark represents the benchmark numbers chosen suitable to suit the numbers.
The negative part of the number line are numbered with the zero mark.
numbers like 1/8 (or 0.125) are converted to decimal and falls half way between each marked line.
2² = 4 and this is a benchmark number.
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There are hundred students in a class who took an examination in Math and Science. 68 of them passed in Science, 32 passed in both Mathematics and Science, 12 students did not pass in any of the subjects
(i) How many students passed in Mathematics?
The number of student that pass mathematics is 52.
How to solve set theory?There are hundred students in a class who took an examination in Math and Science. 68 of them passed in Science, 32 passed in both Mathematics and Science, 12 students did not pass in any of the subjects. Therefore, the number of student that passes maths can be solved as follows:
U = 100
n(S) = 68
n(M n S) = 32
n(M U S)' = 12
Let
x = number of student that pass maths
Therefore,
100 = 68 + x - 32 + 12
100 - 68 + 32 - 12 = x
x = 52
Therefore,
number of student that pass maths = 52
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12 - 1 / 5r = 2r + 1
Answer: r = 5
Step-by-step explanation:
a bucket that weights 70lb when filled with water is lifted at a constant rate, by a mechanical winch, from the bottom of a well that is 60 feet deep. a) compute the work required to lift the bucket from the bottom of the well to the top. (5pts) b) oops, we forgot to tell you! the chain that is being used to lift the bucket weighs 0.55 lbs per foot. now find the correct amount of work required to lift the bucket from the bottom of the well all the way to the top. (5pts) c) oh no! where is our head at today? we completely forgot to mention that the bucket has a hole in the bottom. it only weighs 35lb when it reaches the top, due to the water leaking out at a constant rate. now compute the real work required to lift the bucket from the bottom of the well to the top of the well. (recall that the bucket is being lifted at a constant rate, as well.) (5pts)
If the weight of the bucket is 70 lb , then the work required to lift the bucket from bottom is 135240 foot-pounds .
We use the formula : Work = Force × Distance to calculate the work done
where "Force" is weight of bucket filled with water and "Distance" is height it is lifted.
The weight of bucket filled with water is = 70 pounds.
We convert this to a force in pounds force, by using g = 32.2 feet per second squared ;
So , Force = Weight × Gravity
⇒ 70 lb × 32.2 ft/s² = 2254 lb-ft/s²
The distance that the bucket is lifted is = 60 feet ;
So , work required to lift bucket from bottom of well to top is :
⇒ Work = Force × Distance = 2254 lb-ft/s² × 60 ft
⇒ 135240 foot-pounds
Therefore , it will require 135240 foot-pounds of work to lift the bucket filled with water from the bottom of the well to the top.
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The given question is incomplete , the complete question is
A bucket that weights 70lb when filled with water is lifted at a constant rate, by a mechanical winch, from the bottom of a well that is 60 feet deep.
Compute the work required to lift the bucket from the bottom of the well to the top .
