A playground is rectangular with a length of 7/8 miles. If the area of the playground is 8/20 square miles, what is its width? Input your answer as a fraction.
Answer:
16/35miles
hope it is helpful
17 G Natalie is going mountain biking. She can buy a bike for $250 or she can rent a bike for $30 an hour. In both cases, she must also rent a helmet for $5 an hour. Which inequality shows the number of hours Natalie must bike for the cost of buying a bike to be less than renting a bike? F 250 + 5x > 30x G 250 + 5x > 35x H 250 + 5x < 30x J 250 + 5x < 35x
Buying Option:
Bike = 250
Per hour = 5 (for helmet)
Renting Option:
Rent per hour = 30 + 5 = 35 (bike and helmet)
Let x be number of hours, so
Buying Option Cost = 250 + 5x
Renting Option Cost = 35x
Now, we want BUYING COST < RENTING COST, so
250 + 5x < 35 x
Correct Answer, J
Simplify: -8x +7-5-5x + 5x
A
- 8x + 2
B
-18x+12
-x-5
D
-X+12
Answer:
A) -8x+2
Step-by-step explanation:
-8x + 7 - 5 - 5x + 5x
-8x -5x + 5x + 7 - 5
- 8x+2
The length of a rectangle is 4 less than three times the width. The area of the rectangle is given by the formula A = l × w. Which of the following equations could be used to find the area?
Question 19 options:
A)
A = 4w2 – 3w
B)
A = w2 – 4w
C)
A = 3w2 – 4w
D)
A = 3w2 – w
Answer:
C) A = \(3w^{2} - 4w\)
Step-by-step explanation:
First, read through what the question is asking.
Now, read it again, but slowly and take in everything it is saying (Don't read into it too slowly, or else you will over-complicate the problem and get frustrated - told from experience :) )
Alright, 4 less than 3 times the width. So, lets rearrange this and give width a variable (w).
So, the length is equal to:
l = 3w - 4
and the width is equal to:
w = w
The area of a rectangle is A = l * w
Let's plug in the values.
A = (3w - 4) * w
Now, simplify:
A = \(3w^{2} - 4w\)
A = \(3w^{2} - 4w\) is your final answer.
I hope this helps!
Draw a model to help solve 5/6 + 1/4. Write your answer as a mixed number. You do not have to simplify.
100 point hope u enjoy
Answer:
tysm
Step-by-step explanation:
Penny reads 13 pages per 1/4 hour, how many hours does it take penny to read a page
Answer:
1/52 of a hour lol
Step-by-step explanation:
Answer: 1/52 hour
Step-by-step explanation:
answer asap for brainliest
Answer:
(2,4)
Step-by-step explanation:
Plug in 2 for x and plug in 4 for y and the equation should be correct
What is the slope of the line that contains the points (2, −8) and (−4, 4)? 2 one half negative one half −2
Answer;
-2
Step-by-step explanation;
Well take the last numbers in these points and subtract them
4 - (-8)
4+8
12
You've got the upper part of the slope fraction now subtract the first two numbers.
-4-2
-6
Put this fun together, 12/-6 = -2
hence, slope=-2 .
Answer:
Step-by-step explanation:
-2
A travel agent receives a 6% commission on the base fare of a customer- that is, the fare before sales tax is added. If the total fare
charged to a customer comes to $787.91 including 5.5% sales tax, how much commission should the agent receive?
The agent will get $47.2746 for his commission.
What is the percentage?A percentage is a number or ratio expressed as a fraction of 100 in mathematics. The percent sign, "%," is commonly used, but the abbreviations "pct.", "pct," and sometimes "pc" is also used. A percentage is a number with no dimensions; it has no unit of measurement. To calculate a percentage, divide the value by the total value and multiply the result by 100. (value/total value)100% is the formula for calculating the percentage.
So, we have to take out 6% of $787.91 in order to obtain the commission of the agent.
Then,
787.91/100 × 67.8791 × 6$47.2746Therefore, $47.2746 will the agent get for his commission.
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Which of the following equations represents a linear function?
Question 8 options:
y =6x
x3 – y = –2
2x – 4y = 6
y =4x−−√
Simplify.
6v^8y^-7vw^6 • 2w^-4 • 8y^6
Use only positive exponents in your answer
Answer:
96v^9·y^-1·w^2 = 96v^w²/y
Step-by-step explanation:
multiply coefficients, add exponents
(6)(2)(8) = 96
v^8·v = v^9
y^-7·y^6 = y^-1
w^6·w^-4 = w²
Answer:
\(\frac{96v^9w^2}{y}\)
Brainliest Pls
A bouquet has 30 flowers. 21 are carnations.
The rest are roses. What percent of the
flowers are roses?
Answer
30%
Step-by-step explanation:
21 is 70% of 30. 100-70= 30
A lorry left town A to town B and maintained an average speed of 50km/hr. A car left town A for town B 42 minutes later maintained an average speed of 80km/hr . At the time car arrived to town B the lorry had 25km to cover to town B. Determine the distance between town A and B
The distance between town A and town B is 93.5 km.
Solving for the distance between town A and town B:
Let's first convert the 42 minutes delay of the car to hours:
42 minutes = 42/60 hours
= 0.7 hours
Now, let's assume that the time it took for the car to travel from A to B is t hours.
The distance between A and B is the same for both the lorry and the car, so we can set up an equation:
Distance = Speed x Time
For the lorry:
Distance = 50t
For the car:
Distance = 80 (t-0.7)
We know that when the car arrived at B, the lorry had 25km left to cover. So:
50t - Distance covered by lorry = 25
50t - (50t - 25) = 25
Simplifying:
25 = 25
This equation is always true, which means our assumptions are correct.
Therefore, we can equate the two distance equations:
50t = 80(t-0.7)
50t = 80t - 56
30t = 56
t = 1.87 hours
Finally, we can use the distance equation with either the lorry or the car to find the distance between A and B:
Distance = Speed x Time
Distance = 50 x 1.87
Distance = 93.5 km
So the distance between town A and town B is 93.5 km.
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At the school bookstore, pencils cost $1 29 each, erasers cost $2.55 each, rulers cost 3 52 each and a pack of twelve pens costs $7.56 Which of these sistements are TRUE See all that apply
Answer:
yes its true
Step-by-step explanation:
hope i help have a fant
Does this table represent a function? Why or why not?
X
у
2.
1
3
4.
4
4
5
2
5
5
What is 87.9 to the square root of 6
Answer:
57780.4353288
Step-by-step explanation:
The square root to the square root of 6 is 57780.4353288
Hope it helped! :)
May i have brainliest!
PLEASE HELP FILL IN LAST TWO BLANKS!!! Suppose the time it takes Lizzie to eat an apple is uniformly distributed between 5 and 10 minutes. Let X = the time, in minutes, it takes Lizzie to eat an apple.
SHOW WORK SO I UNDERSTAND
Answer:
c. 18%
e. 46%
Step-by-step explanation:
c. Since the time given is 5.9, it is easiest to just calculate for every 0.1 second. So, there are 50 0.1 seconds in 5 seconds. If you divide 100/50 you get 2. So that is your percentage for each 0.1 seconds. It says less than 5.9 so theres 10 0.1 seconds. If you multiply 9x2 you get 18%.
e. based on 2% for every 0.1 seconds, there are 5 0.1 seconds between 5 and 5.5 and 18 0.1 seconds between 7.2 ad 10. 23x2= 46%
I would like to note that this question is incorrectly asked as it says less than which means the time given wouldnt count. It would have made much more sense to say 5.9 minutes or less.
Im pretty sure this is the right answer but it could be c. 20% and e. 50%
Hope this helps!
Suppose the time it takes Lizzie to eat an apple is uniformly distributed:
a. The distribution of X, is Uniform with X ~ U(5, 10).b. The probability is 0.c. The probability is approximately 0.18.d. The probability is approximately 0.34.e. The probability is approximately 0.46.How to find probability?a. The distribution of X is Uniform, denoted as X ~ U(5, 10).
b. To find the probability that it takes Lizzie more than 11 minutes to finish the next apple, find the area of the distribution curve to the right of 11. Since the distribution is uniform, the probability is the ratio of the length of the interval [11, 10] to the total length of the interval [5, 10].
Probability (X > 11) = (10 - 11) / (10 - 5) = -1 / 5 = 0 (rounded to 4 decimal places)
c. Probability (X < 5.9) = (5.9 - 5) / (10 - 5) = 0.18
d. Probability (5.5 < X < 7.2) = (7.2 - 5.5) / (10 - 5) = 0.34
e. To find the probability that it takes Lizzie fewer than 5.5 minutes or more than 7.2 minutes to finish the next apple, find the sum of the probabilities of these two disjoint events:
Probability (X < 5.5 or X > 7.2) = Probability (X < 5.5) + Probability (X > 7.2)
= (5.5 - 5) / (10 - 5) + (10 - 7.2) / (10 - 5)
= 0.1 + 0.36
= 0.46
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An electronic games manufacturer producing a new product estimates the annual sales to be 8000 units. Each year 2% of the units that have been sold will become inoperative. So, 8000 units will be in use after 1 year, [8000 0.98(8000)] units will be in use after 2 years, and so on. How many units will be in use after n years
Help ASAP!!!
Suppose you buy a stock for $2,100. It decreases in value by 15% and then rises
20%. What is the new stock value? Round to the nearest cent.
A) $2,142.00
$1,785.00
B) $2,205.00
D) $2,520.00
Answer:
B
Step-by-step explanation:
20-15= 5 so you do 5% of 2100 by doing 2100 times 0.05 which gives y9u 105. you then add 2100 and 105 together
in Malik's class 12 of 30 students have attended a movie in the last week. what fraction decimal and percent represent the students who have attended a movie
Answer:
2/5, 0.40 and 40%
Step-by-step explanation:
These all represent this problem, check for yourself if you have doubts.
For each one of the following statements, indicate whether it is true or false.
(a) If X = Y (i.e., the two random variables always take the same values), then Van X | Y = 0.
(b) If X = Y (the two random variables always take the same values), then Var (X | Y) = Var (X).
(c) If Y takes on the value y, then the random variable Var (X | Y) takes the value E[(X – E[X | Y = y])2 |Y = y].
(d) If Y takes on the value y, then the random variable Var (X | Y) takes the value E[(X - E[X | Y])2 | Y = y].
(e) If Y takes on the value y, then the random variable Var ( X | Y) takes the value E[(X – E[X])2 | Y = y].
Solution :
a). \($\text{Var} (X|Y) =E ((X-E(X|Y))^2 |Y)$\)
Now, if X = Y, then :
\(P(X|Y)=\left\{\begin{matrix} 1,& \text{if } x=y \\ 0, & \text{otherwise }\end{matrix}\right.\)
Then, E[X|Y] = x = y
So, \($\text{Var} (X|Y) =E((X-X)^2 |Y)$\)
\($=E(0|Y)$\)
= 0
Therefore, this statement is TRUE.
b). If X = Y , then Var (X) = Var (Y)
And as Var (X|Y) = 0, so Var (X|Y) ≠ Var (X), except when all the elements of Y are same.
So this statement is FALSE.
c). As defined earlier,
\($\text{Var} (X|Y) =E ((X-E(X|Y))^2 |Y=y)$\)
So, this statement is also TRUE.
d). The statement is TRUE because \($\text{Var} (X|Y) =E ((X-E(X|Y))^2 |Y=y)$\).
e). FALSE
Because, \($\text{Var} (X|Y) =E ((X-E(X|Y=y))^2 |Y=y)$\)
If T is the midpoint of SU, find TU.
S 9x
T 5x+28 U
The length of each segment ST = 63, TU = 63, SU = 126
What is a midpoint theorem?The midpoint theorem states that “The line segment in a triangle joining the midpoint of two sides of the triangle is said to be parallel to its third side and is also half of the length of the third side.”
From the given figure
ST = 9x
TU = 5x+28
According to midpoint theorem,
ST = TU
9x = 5x+28
9x-5x = 28
4x = 28
x = 7
It means,
ST = 9×7 = 63
TU = 5×7+28 = 35+28 = 63
SU = ST+TU
= 63+63
ST = 126
Hence, The length of each segment ST = 63, TU = 63, SU = 126
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Can you help me please here is the image
Answer:
J= +6 This is the rule followed. Hope this helps!!:)
please answer fast...............................
The coordinate of point R after the rotation is determined as = ( - 4, 7).
option A.
What is the rotation of a figure?A rotation is a transformation that turns the figure in either a clockwise or counterclockwise direction.
You can turn a figure 90°, a quarter turn, either clockwise or counterclockwise. When you spin the figure exactly halfway, you have rotated it 180°. Turning it all the way around rotates the figure 360°.
When a figure is rotated 180 degrees, each point of the figure is moved to a new position that is exactly opposite its original position with respect to a fixed center of rotation.
The initial coordinate of point R = ( 4, 7),
The new coordinate of point R after the rotation = ( - 4, 7)
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Can someone show me an example of an equation in point slope form. I don't need an explanation just literally any equation in point slope form please.
Which pair shows equivalent expressions? A. 3(x+2)=3x+6 B. 3x+2x=x squared(3+2) C. 3x+2=3(x+2) D. -3(2+x)=-6x-3
Answer: A.
Step-by-step explanation: we just need to distribute and see that the only plausible answer is a because when distributed it equals 3x=6
2. A laser printer prints 200 pages in 4
minutes. How many pages does it print in 25
minutes?
А
1000
800
2
1250
1050
Answer: I think the answer is 1250.
Step-by-step explanation:
I did 200 divided by 4 which is 50. I then multiplied 50 * 25 and got 1250.
Please look at the photo for the question. Thank you!
The zeros with each multiplicity are given as follows:
Multiplicity one: x = 6.Multiplicity two: x = 11.Multiplicity three: x = -6 and x = -5.How to obtain the multiplicities?The factor theorem is used to define the functions, which states that the function is defined as a product of it's linear factors, if x = a is a root, then x - a is a linear factor of the function.
Considering the linear factors of the function in this problem, the zeros are given as follows:
(x + 6)³ -> zero at x = -6 with multiplicity of 3.(x - 11)² -> zero at x = 11 with multiplicity of 2.x - 6 -> zero at x = 6 with multiplicity of 1.(x + 5)³ -> zero at x = -5 with multiplicity of 3.More can be learned about the Factor Theorem at brainly.com/question/24729294
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A bike path is 12.5 miles. Dominic is 70% of the way to the end. How far is Dominic on the path?
The percentage of the distance Dominic is on the path is his distance
travelled as a fraction of the total distance when equivalent to 100.
The distance he has travelled on the path is 8.75 miles.
The given parameter are;
Length of Dominic's path = 12.5 miles
The length of the way Dominic is to the end = 70%
Required:
The distance Dominic has travelled on the path
The distance Dominic has travelled, D is 70% of 12.5 miles.
70% of 12.5 miles = 70% × 12.5 miles = 8.75 miles
The distance Dominic has travelled on the path, D = 8.75 miles
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