Answer:
779.352 ft^2
Step-by-step explanation:
Given data
Diameter of circular garden= 16ft
Radius of garden= 16/2= 8ft
Length of side of square pond= 5ft
Area of circular garden= πr^2
A=3.142*16^2
A= 3.142*256
A=804.352 ft^2
Area of square pond
A= L^2
A= 5^2
A= 25ft
Hence the area that remains
=Area of circular garden- Area of square pond
=804.352- 25
= 779.352 ft^2
what year is 40040040040049039qji34btuewrbgsnbbg snk g smart
How do you create and solve equations in one variable given a real–world situation?
Step-by-step explanation:
1) first eliminate constant(number without variable) you eliminate constant by doing the inverse operation(if constant is being added, then subtract)(if constant is being subtracted, then add it)
ex: if x+9=32
subtract 9 from both sides to get rid of it
x=23
2) if there is another constant but this constant is being multiplied/divided then do the opposite operation to remove it
you could multiply by 3 on both sides:
x+9=69
x=60
Answer:
1) first eliminate constant(number without variable) you eliminate constant by doing the inverse operation(if constant is being added, then subtract)(if constant is being subtracted, then add it)
ex: if x+9=32
subtract 9 from both sides to get rid of it
x=23
2) if there is another constant but this constant is being multiplied/divided then do the opposite operation to remove it
you could multiply by 3 on both sides:
x+9=69
x=60
Hope this helps!
Step-by-step explanation:
NEED ASAP !! HELP PLEASE 10 PTS
Help Please 15 points!!!
A lawn seed mixture contains three types of seed: bluegrass, rye, and Bermuda. The costs per pound of the three types of seed are 12 cents, 14 cents, and 3 cents, respectively. In each batch there must be at least 25% bluegrass seed, and the amount of Bermuda must be no more than 2/3 the amount of rye. To fill current orders, the company must make at least 6000 pounds of the mixture. How much of each kind of seed should be used to minimize cost
Answer:
612 dollars
Step-by-step explanation:
From the given information:
Amount of the total mixture = 6000 pounds
Also, for each batch, there needs to be at least 25% bluegrass seed.
It implies that:
In 6000 pounds, there are (25×6000)/100 = 1500 pounds of bluegrass seed.
The remaining amount of (6000 - 1500 = 4500)pounds will be for rye and Bermuda.
Suppose the amount of rye seeds = x pounds
while that of Bermuda is (4500 - x) pounds
Then, since the amount of Bermuda contains no more than 2/3 of that of rye.
The equation can be written as:
[tex]( 4500 - x) = \dfrac{2x}{3}[/tex]
13500 - 3x = 2x
13500 = 5x
[tex]x = \dfrac{13500}{5}[/tex]
x = 2700
Now, the amount of rye seed = 2700 pounds
while that of Bermuda seed = 4500 - 2700 = 1800 pounds
However, For Bluegrass, we are told that the cost of 1 pound is 12 cents.
So, the cost of 1500 bluegrass seeds = 12 × 1500 = 18000 cents
For rye seed; cost of 1 pound = 14 cents
the cost of 2700 rye seeds = 14 × 2700 = 37800 cents
For Bermuda seed; cost of 1 pound = 3 cents
the cost of 1800 rye seeds = 3 × 1800 = 5400 cents
The total amount = (18000 + 37800 + 5400) = 61200 cents
Recall that:
100 cents = 1 dollars
61200 cents = x dollars
x = 61200 cents/100 cents
x = 612 dollars
Thus, the minimum cost is 612 dollars.
In your backpack there are three math books, two science books, and five notebooks. If you reach into your backpack and select a math book, and then reach in and select a notebook, are these independent events? Explain.
Answer:
No, because grabbing the math book changed the odds of grabbing the notebook.
These are not independent events as you didn't replace the first book so that changed the probability that you would draw a notebook second , Option C is the answer.
What is Probability ?Probability is the likeliness of an event to happen.
It is given that there are three math books, two science books, and five notebooks.
Total number of books = 3 + 2 + 5 = 10
The probability of drawing a mathbook is 3 / 10 = 0.3
and then if the mathbook is not replaced then the total outcomes for drawing a notebook changes.
Therefore they are not independent events and Option C is the answer.
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A plane with the tailwind is 500 km/h. While going against the wind it is 410 km/h. What is the speed of the plane without wind?
Answer:
45
Step-by-step explanation:
Let the plane speed be x
Let the wind speed be y
x +y= 500.....equation 1
x -y= 410........equation 2
x + y= 500
-
x- y= 410
2x= 90
x= 90/2
x= 45
From equation 1, substitute 45 for x
x + y= 500
45 + y= 500
y = 500-45
x = 455
Hence the speed of the plane is 45
Can I get help on this question? Please explain the process of how to solve it too.
Answer:
x = 13
y = 18.38
Step-by-step explanation:
tan 45 = x/13 (tangent = opposite / adjacent)
1 = x/13
multiply both sides by 13
x = 13
cos 45 = 13/y (cosine = adjacent / hypotenuse
0.7071 = 13/y
multiply both side by y
0.7071y = 13
divide both side by 0.7071
y = 18.38
A school reserved a banquet hall for the spring dance. In addition to a $100 deposit, each couple must pay $20. If the total cost of the banquet hall is $1, 140, write and solve an equation to find the number of couples attending the spring dance.
Please help me!! I have been stuck on this question for too long.
Answer: A school reserved a banquet hall for the spring dance. In addition to a $100 deposit, each couple must pay $20. If the total cost of the banquet hall is $1,140, write and solve an equation to find the number of couples attending the spring dance. b. Solve the problem arithmetically. Show the steps you used. c. Compare and contrast the steps you used to solve the problem algebraically and arithmetically.
Step-by-step explanation:
there ya go this was hard
please help me asap!!!
Answer:
6
Step-by-step explanation:
Which graph represents a function
Answer and Step-by-step explanation:
The graph to the top right is a function.
This is a function because it a straight, connected line.
The First graph isn't a function because the lines are connected, and doesn't pass the horizontal test.
The Bottom left graph isn't a function because there are two lines and they intersect.
The Bottom right graph isn't a function because there are points but aren't connected.
#teamtrees #PAW (Plant And Water)
A bicycle path starts 5 miles due east of an intersection, and continues in a straight line to finish 8 miles due north of the same intersection. Let the intersection be represented by the point (0, 0). Suppose a cyclist rides the path from start to finish in 2 hours. Which parametric equations model the path of the rider?
The parametric equations that models the path of the rider are:
x(t) = -5/2t + 5 and y (t)= 4tx(t) = -5/2t + 5 and y(t) = 4t + 8What is a Parametric Equation?This refers to the type of equation that makes use of a parameter to define dependent variables.
Hence, we can see that to model the path of the rider, the parametric equation that can be best used is to model the direction of the bicycle which is moving 5 miles east and then continues 8 miles north, and the fact that they started at rest 0 and the equations to make the model are:
x(t) = -5/2t + 5 and y (t)= 4tx(t) = -5/2t + 5 and y(t) = 4t + 8
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please help me asap!!!
Answer:
Already answered it
Step-by-step explanation:
Help&EXPLAIN
Don’t use for points or I’ll take it back and u will be reported
Answer:
103
Step-by-step explanation:
Every straight line's angle measurement is 180 degrees, so if one angle is 77 degrees, the other must be 103 degrees to equal 180. (77+103=180)
Hope this helps!
A line goes through the point (-8,9), and has a slope of 3/4
Write in form of a Ax + B and C for this line
Answer:
[tex]y=\dfrac{3}{4}x+15[/tex]
Step-by-step explanation:
Given that,
A line goes through the point (-8,9), and has a slope of 3/4.
We need to express in the form of Ax+B for this line.
We have, m = 3/4
So,
[tex]y=\dfrac{3}{4}x+B[/tex]
Put y = 9 and x = -8 in the above equation.
[tex]9=\dfrac{3}{4}(-8)+B\\\\9=-6+B\\\\9+6=B\\\\B=15[/tex]
So,
[tex]y=\dfrac{3}{4}x+15[/tex]
It is the required equation of the line.
Help me pls pls pls
Answer / Step-by-step explanation:
4 * (2 + 3) - 12
To get our final answer, we need to follow PEMDAS, which is :
Parenthesis
Exponent
Multiply
Divide
Addition
Subtraction
These mean that this is the order you will solve by what is in the question, let us start with the parenthesis.
(2 + 3) fits this description, therefore we add them together :
4 * 5 - 12
There are no more parenthesis and also no more exponents, so move onto multiplying.
4 * 5 - 12
20 - 12
Now subtract :
8
2X plus 7 for x equals five
Answer:
17
Step-by-step explanation:
If x equals 5, then you just do 2(5) + 7.
2×5=10 10+7=17
Which equation matches line p?
Answer:
line p matches with the first equation
Step-by-step explanation:
This is really easy but I’m lazy
Answer:
D
Step-by-step explanation:
it does not matter which side you put the eight.
How do you solve 2.5x + 10 = 50?
Answer:
I think the answered is x = 16 hope I right
Answer:
X = 16
Step-by-step explanation:
2.5x+10 = 50
distribute the ten to the other side by substracting
2.5x = 50-10
2.5x = 40
Now divide 2.5 on both sides
2.5x/2.5 = 40/2.5
x = 16
Which of the follow triangles is similar to APOR?
Answer:
D
Step-by-step explanation:
For each triangle, you are given two sides and the included angle (the one between those 2 sides). That's side-angle-side, so it is S-A-S.
The SAS Rule for Similar Triangles says that for 2 triangles X and Y, if you have the SAS of one and the SAS of the other, then X and Y are similar (same shape and proportions) if
(a) the angle in X is congruent (same) as the angle in Y
(b) the ratio between the two given sides in X is the same as the ratio between the two given sides in Y
For this particular problem, the ratio PR/PQ = 18/21 = 6/7 if you simplify by dividing both top and bottom by 3.
So we are looking for another triangle where we have the same ratio. (Put the smaller number on top, in the fraction.)
Answer A: 12/15 simplifies to 4/5, wrong answer
Answer B: 9/12 simplifies to 3/4, wrong answer
Answer C: 6/10 simplifies to 3/5, wrong answer
Answer D: 15/17.5 looks harder, because there is a decimal in it. But we know 17.5 is just 17 and a half, so I would first multiply top and bottom by 2
We get 30/35. That looks a lot better. Now it is easier to see we can divide both top and bottom by 5.
We get 6/7! That is the correct answer, so D is the triangle similar to PQR.
PLEASE HELP! ASAP PLEASE!
Answer:
4, it's an isosceles trapezoid, so sides TP and RA should be equivalent
The diagram shows a door lock.
А
B
1
2
3
4
The code is a letter followed by a number.
Write down all the possible codes,
write your answers like this: (A, 1) You must write all of your answers on one line.
Answer:
(A, 1); (A, 2); (A, 3); (A, 4); (B, 1); (B, 2); (B, 3); (B, 4)
Step-by-step explanation:
What a tedious question...
What is the median of 30,33,38,40,51,57,81,91?
Answer:[tex]{ \left[\begin{array}{ccc}45.5\\\\\end{array}\right] }{}\\\\\end{array}\right] } ----[/tex]
Step-by-step explanation: Hey, Basically we are going to arrange the data in an ascending order and the median is the middle value. If the number of values is an even number, the median will be the average of the two middle numbers.
Hope this helps!
A researcher for a polling organization used a random sample of 1,540 residents in a city to construct a 95 percent confidence interval for the proportion of voters who would vote for candidate Jones. The resulting confidence interval was 0.480 ± 0.025. What is the correct interpretation of the confidence interval?
A proportion of 0.455 and 0.505 of respondents think that Jones has a 95% chance to win.
If 95% of all the voters voted, then Jones would receive between 45.5% and 50.5% of the votes.
The polling organization can be 95% confident that the interval from 0.455 to 0.505 captures the proportion of all city voters who would vote for Jones.
If we repeatedly sampled voters from this city, taking samples of size 1,540, approximately 95% of those samples would have between 45.5% and 50.5% voting for Jones.
Answer:
The polling organization can be 95% confident that the interval from 0.455 to 0.505 captures the proportion of all city voters who would vote for Jones.
Step-by-step explanation:
took the quiz
The polling organization can be 95% confident that the interval from 0.455 to 0.505 captures the proportion of all city voters who would vote for Jones.
What is confidence interval?A confidence interval is a set of values used to estimate an unknown population parameter with a high degree of certainty. It is calculated from a sample of data and takes into account the sample's variability.
The polling organisation is 95% confident that the range of 0.455 to 0.505 accurately represents the proportion of all city voters who would vote for Jones.
This means that if the researcher repeated the sampling process a number of times and created a confidence interval for each sample, 95% of those intervals would contain the true proportion of all city voters who would vote for Jones.
Thus, it does not imply that the true proportion is 95% likely to fall within the interval.
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How many times do parallel lines intersect?
A. 0
B. 1
C. 2
D. 3
Please help. Will make brainiest !!
Answer:
A) 0
Step-by-step explanation:
The actual definition of parallel lines are lines that never intersect, so the answer is 0
The number of times parallel lines intersect is (a) 0
How many times do parallel lines intersect?From the question, we have the following parameters that can be used in our computation:
The list of options in relation to parallel lines
By definition of parallel lines, we have
Parallel lines are lines that extend indefinitely on both sides without intersecting
Using the above as a guide, we have the following:
Point of intersection = 0
Hence, parallel lines intersect (a) 0 times
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(x + 5)(x – 5)
Multiply
Answer:
[tex] {x}^{2} - 25[/tex]
Step-by-step explanation:
[tex](x + 5)(x – 5) \\ \\ = {(x)}^{2} - {(5)}^{2} \\ \\ = {x}^{2} - 25[/tex]
Answer:
x²-25
Step-by-step explanation:
To do a sum like this, break up the first bracket and multiply by the second (terms from the first bracket is in bold in first few steps for clarity):
(x + 5)(x – 5)
x(x-5)+5(x-5)
x²-5x+5x-25
x²-25
what does the word "of" mean?
A. in addition to
B. multiply by
C. divided by
Answer:
B. multiply by
A fruit basket is filled with 8 bananas, 3 oranges, 5 apples, and 6 kiwis.
For every 3 kiwis, there are 4
Answer:
83
Step-by-step explanation:
666
Answer:
Bananas
Step-by-step explanation:
A random sample of 40 business days from the past year was taken from the store
records. For each day, the net income was determined. The sample standard
deviation was found to be $57.19. How many MORE business days should be
included in the sample to be 95% confident that the sample mean i of daily net
incomes is within $10 of the population mean p of daily net incomes?
Answer:
20,00,00
Step-by-step explanation: