Answer:
If the length is 50 yd, the width is 60 yd.
If the length is 40 yd, the width is 75 yd.
If the length is 48 yd, the width is 62.5 yd.
If the length is 36 yd, the width is 83.33 yd.
The length and the width vary inversely because when the length decreased the width increased
Step-by-step explanation:
The area of any rectangle A = L × W, where
L is its lengthW is its widthThe relation is direct proportion if the quotient of two quantity equals constant (y/x = k, when y and x increased) and inverse if the product of the two quantity equals constant (yx = k, when x increased y decreased and vice versa)
∵ The area of the rectangular plot of land = 3000 yards²
∴ A = 3000
∵ Its length = 50 yards
∴ L = 50
→ Substitute them in the rule above to find W
∵ 3000 = 50 × W
→ Divide both sides by 50 to find W
∴ 60 = W
∴ The width of the plot is 60 yards
∵ Its length = 40 yards
∴ L = 40
→ Substitute them in the rule above to find W
∵ 3000 = 40 × W
→ Divide both sides by 40 to find W
∴ 75 = W
∴ The width of the plot is 75 yards
∵ Its length = 48 yards
∴ L = 48
→ Substitute them in the rule above to find W
∵ 3000 = 48 × W
→ Divide both sides by 48 to find W
∴ 62.5 = W
∴ The width of the plot is 62.5 yards
∵ Its length = 36 yards
∴ L = 36
→ Substitute them in the rule above to find W
∵ 3000 = 36 × W
→ Divide both sides by 36 to find W
∴ 83. 33 = W
∴ The width of the plot is 83.33 yards
∵ The area is a constant value
∵ A = LW
→ The product of L and W equals the constant value, can you discover
that from the values of L and W
∴ The length and the width of the rectangular plot vary inversely
The length and the width of the rectangular plot vary inversely when the same area is needed.
Area of Rectangle:Area of rectangular plot [tex]=length *width[/tex]
Given that, Area of plot is 3000 square yards.
If the length is 50 yards. Then,[tex]width=\frac{3000}{50} =60yd[/tex]
If the length is 40 yards. Then,[tex]width=\frac{3000}{40}=75yd[/tex]
If the length is 48 yards. Then,[tex]width=\frac{3000}{48}=62.5yd[/tex]
If the length is 36 yards. Then,[tex]width=\frac{3000}{36}=83.34yd[/tex]
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HEY YOU, YES YOU, PLEASE HELP ME ASAP!!
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The science club charges $6.50 per car at their car wash. How many cars do they have to wash to earn at least $500?
Answer: 77 cars
Step-by-step explanation: 6.50 * 77 = 500.5
Children’s Fever Medicine
(given every 4–6 hours, as needed)
Weight 24+ lbs 36+ lbs 48+ lbs 60+ lbs 72+ lbs
Dosage 5 mL 7.5 mL 10 mL 12.5 mL 15 mL
a) Evaluate the data and find the rate of change from one age group to the next. Explain how you found the rate of change. (2 points)
Answer:
The rate of change would be 50
Step-by-step explanation:
The graph with weight is going by 12 in each so an example would be 24 and 36 is going by 12 like the graph. and the dosage is going by 2.5 an example would be 5 and 7.5 witch is going by 2.5
What is the slope intercept form for this?
Slope= 2/3 Y intercept= -1
Answer:
y = 2/3x-1
Step-by-step explanation:
6. Joann needs $100 for a class trip. She has already saved $44. She sells
jean passes for $5 each. Which equation shows how many jean passes she
will need to sell?
A) 100 = 5x - 44
B) 100 = 5x + 44
C) 100 = -5x + 44
D) 100 = -5x + (-44)
Answer:
C
Step-by-step explanation:
Hope this helps :)
Brainest pls?
Answer:
answer c I took it got 100%
Part b at the airport to walk from the car to the waiting area by the gate was
Answer:
24
Step-by-step explanation:
Answer:
24
Step-by-step explanation:
2x•(-3x)+5•(2x²)-x•x=
??
Answer:
Step-by-step explanation:
The product of two consecutive odd integers is 2,915. Build a function that can be used to
solve for the integers. What are the two integers?
The values of the two consecutive odd integers are 53 and 55.
Let the two consecutive odd integers be x and x+2.
Based on the information given, the equation to solve the question will be:
x(x + 2) = 2915
x² + 2x = 2915
x² + 2x - 2915 = 0
x² + 55x - 53x - 2915 = 0
x(x + 55) - 53(x + 55) = 0.
Therefore, x - 53 = 0
x = 0 + 53 = 53
x + 2 = 53 + 2 = 55
Therefore, the numbers are 53 and 55.
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Translate this sentence into an equation.
57 is the sum of 9 and Diego's height.
Use the variable d to represent Diego's height.
Answer:
d + 9 = 57
Step-by-step explanation:
Suppose we want to choose 6 letters, without replacement, from 12 distinct letters
What’s the slope for (15,8) (10,7)
Answer:
[tex]\frac{1}{5} = 0.2[/tex]
I hope this helps!
Jordan will hike the trail shown at a rate of 2 mi/h. Write a linear equation to represent the distance Jordan still has to
walk after x hours. What does the y-intercept of the equation represent?
Answer:
If y represents the distance Jordan still has to walk after x hours, then the equation [tex] y = -2x + 13 [/tex] describes the given equation.
The y-intercept of the equation represents total distance of the trail
Step-by-step explanation:
A linear equation can be written to represent the situation above using the slope-intercept equation form, which is given as [tex] y = mx + b [/tex]
Where,
m = slope or rate of change = -2 mi/h (the slope is negative, because distance remaining decreases as hours increases)
b = y-intercept = 13 miles (this is the total distance of the trail. x (hours) is zero at this point)
The equation of the given situation, in slope-intercept form would be:
[tex] y = -2x + 13 [/tex]
A linear equation can be use to describe Jordan's distance because the
rate of change of the distance with time is constant.
First part: The linear equation is; y = 13 - 2·xSecond part: The y-intercept represents the total distance of the trail.Reasons:
From the map in the question, we have;
The distance of the trail Jordan has to hike = 13 miles
The rate at which Jordan will work = 2 mi/hr.
Part One:
Required:
The linear equation that represents the distance Jordan still has to walk
after x hours.
Solution:
Let y represent the distance Jordan still has to walk after x hours
The distance walked per hour = 2 miles
The distance walked after x hours = x × 2 miles = 2·x miles
Total distance = 13 miles
Distance remaining = Total distance - Distance walked
Distance remaining, y = 13 - 2·x
The linear equation that gives the distance Jordan still have to walk after x hours, is therefore;
y = 13 - 2·x
Second part:
The y-intercept is the y-value when x = 0
Therefore;
The y-intercept is; y = 13 - 2 × 0 = 13
Therefore;
The y-intercept represents the distance Jordan has to walk at the start
when the time, x, is 0, which is 13 miles or the the entire distance Jordan
has to walk.
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Express the shaded area as a fraction, a decimal, and a percent of the whole.
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Fraction :
[tex] \frac{1}{2} \\ [/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Decimal :
[tex]0.5[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Percent : 50 %
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
The distance between two points is √39 One endpoint is (4,−3). It is known that the y-coordinate of the other endpoint is 2.
What is the x-coordinate of this endpoint?
Answer:
[tex](4-\sqrt{14}, 2)\text{ or } (4+\sqrt{14}, 2)[/tex]
Step-by-step explanation:
We have the two points: (4, -3) and (x, 2).
We know that the distance between them is √39.
To find our x-coordinate of the second point, we can use the distance formula:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2[/tex]
Let (4, -3) be (x₁, y₁) and let (x, 2) be (x₂, y₂). We also know that the distance d is √39. Substitute:
[tex]\sqrt{39}=\sqrt{(x-4)^2+(2-(-3))^2[/tex]
Solve for x. First, let's square both sides. This cancels out the square roots:
[tex]39=(x-4)^2+(2+3)^2[/tex]
Evaluate the second term on the right:
[tex]39=(x-4)^2+(5)^2[/tex]
Square:
[tex]39=(x-4)^2+25[/tex]
Subtract 25 from both sides:
[tex]14=(x-4)^2[/tex]
Take the square root of both sides. Since we're taking an even root, we need plus/minus. So:
[tex]x-4=\pm\sqrt{14}[/tex]
Add 4 to both sides:
[tex]x=4\pm\sqrt{14}[/tex]
Therefore, there exists two possibilities for our second point. It can either be:
[tex](4-\sqrt{14}, 2)\text{ or } (4+\sqrt{14}, 2)[/tex]
And we're done!
Round 34,330 to the nearest thousand
Answer:30,000
Step-by-step explanation:
5 or more is greater 4 or you give it a rest
Please help me figure this out-
Find the measure of the indicated angle that makes lines U and V parallel.
Answer:
80
Step-by-step explanation:
100°+?=180
?=180-100=80
Solve 6.74x – 1.026 = 0.138. Round to the nearest thousandth. Show your work.
Answer:
x=0.173
Step-by-step explanation:
First thing I would do is add 1.026 to both sides. This would get you a equation that looked like, 6.74 x=1.164. Then just divide 1.164 and 6.74 by 6.74. This would get you x=0.1727003. Then because you have to round to the nearest thousand you have to round the 2 up because 7 is more then 5. Keep the first two number the same. The final answer is x=0.173.
If (-8, 3) is reflected across the x-axis the new point would be
Answer:
(-8, -3)
Step-by-step explanation:
write a verbal expression for x + y
Directions: Find the value of x.
5x-2 || 3x+4 || LOOK AT PICTURE PLEASE!!!!
Answer:
Step-by-step explanation:
180-90=90
5x-2+3x+4=90
5x-2+3x=90-4=86
5x+3x=86+2=88
8x=88
X=11
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The value of x in the given right triangle is 11.
What is right triangle?A triangle in which one of the interior angles is 90° is called a right triangle. The longest side of the right triangle, which is also the side opposite the right angle, is the hypotenuse and the two arms of the right angle are the height and the base.
Given is a right triangle, with angles 5x-2 and 3x+4
We know that the sum of the both acute angles of a right triangle, is 90°
Therefore,
5x-2 + 3x+4 = 90°
8x = 88
x = 11
Hence, the value of x in the given right triangle is 11.
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Richard is W years old express algebraically is age 10 years ago
Answer:
W-10
Step-by-step explanation:
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Ariana needs to rent a car while on vacation. The rental company charges $18.95, plus 16 cents for each mile driven. If Ariana only has $40 to spend on the car rental, what is the maximum number of miles she can drive?
Ariana can drive a maximum of
miles without the cost of the rental going over $40.Round your answer to the nearest mile.
Answer:
Ok simple Algebra Question:
Let "x" be the number of miles she drives.
18.95 + 0.16x = 40.00
Subtract 18.95 from both sides.
0.16x = 21.05
Divide both sides by 0.16
You get:
x = 131.5625
Round to nearest mile:
Answer is: 132
help i am stuck look at the image to see but here anyways A teacher is planning a class trip to the aquarium. The aquarium requires two chaperones for every 15 students. The teacher plans accordingly and orders a total of 85 tickets. How many tickets are for chaperones and how many are for students
Answer:
Kids- 75
Chaperones- 10
Step-by-step explanation:
We know that the total is 85 tickets. then the aquarium requires 2 chaperones for 15 kids, so you need to do...
15 + 2 = 17
85 / 17 = 5
15 x 5 = 75
2 x 5 = 10
check you work-
75 + 10 = 85
Mike sold half of his comic books and then bought 8 more. He now has 18. How many did he begin with?
Answer: 20
Step-by-step explanation:
Answer:
20.
Step-by-step explanation:
If he sold half of them, bought 8 more, and now has 18, he had 20 to begin with.
Mary is the manager of a new clothing shop. The shop located in a new shopping mall and Mary wants to estimate the average daily demand for her clothes. From her own experience, she believes that the mean daily demand of her clothes in this region should be greater than or equal to 100. She is going to perform a survey to test this claim and the result will be used to decide how many clothes should be maintained every morning in order to satisfy the customers' needs. (a) What is the implication of Type I error in this case? (b) What is the implication of Type II error in this case? (c) Which type of error is more significant (important), for Mary, in this case?
Explanation:
a) First, note that the Type I error refers to a situation where the null hypothesis is rejected when it is actually true. Hence, her null hypothesis would be H0: mean daily demand of her clothes in this region should be greater than or equal to 100.
The implication of Type I error in this case is that Mary rejects that the mean daily demand of her clothes in this region is greater than or equal to 100 when it is actually true.
b) While, the Type II error, in this case, is a situation where Mary accepts the null hypothesis when it is actually false. That is, Mary accepts that the mean daily demand of her clothes in this region is greater than or equal to 100 when it is actually false.
c) The Type I error would be important to Mary because it shows that she'll be having a greater demand (which = more sales) for her products despite erroneously thinking otherwise.
The ratio of cows to chickens on Jack's farm is 3:5. Choose ALL correct statements that describe this relationship.
will give brainliest
Help
Question 1:
Which of the following expressions are equivalent to −3.5(2 − 3n) − 2.5n?
A. −7 − 8n
b. −7 − 13n
c. −7 − n(10.5 − 2.5)
d. . −7 + n(10.5 − 2.5)
Answer:
A is your correct answer
Step-by-step explanation:
Expand -3.5(2-3n): -7+10.5n
=-7+10.5n-2.5n
Add similar elemnts: 10.5n-2.5n=8n
=-7-8n
8.5 x 103 - 5.3 x 103 -1.0 x 102
What is the correct next step to solve 3+2m=4m+1
A 3=2m+1
B 3+6m=1
C 3=6m+1
D 4=6m