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Stan wants to make a rectangular garden. he has 34 ft of fencing to put around the perimeter. if the length is to be 5 ft more than the width, find the dimensions of the planned garden.
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P = 34
L = W + 5
34 = 2(W + 5 + W)
34 = 2(2W + 5)
34 = 4W + 10
34 - 10 = 4W
24 = 4W
24/4 = W
6 = W <==== the width is 6 ft
L = W + 5
L = 6 + 5
L = 11 <==== the length is 11 ft
Using the concept of perimeter and given conditions, the planned garden's dimensions should be 6 feet by 11 feet with a total perimeter coverage of 34 feet.
Explanation:The problem can be solved by using the concept of perimeter in mathematics. The perimeter of a rectangle is the sum of all its sides, and given that Stan has 34 ft of fencing, this can be translated to a formula: 2*(length + width) = 34ft.
From the question, we also know that the length of the fence is 5 ft more than the width. This can also be translated into an equation: length = width + 5.
By substituting this into the earlier equation, we can find the width: 2*(width + width + 5) = 34, which simplifies to 4*width + 10 = 34. Solving this gives us width = 6 ft.
Substitute width = 6 ft into the length equation to get length = width + 5 = 6 + 5 = 11 ft. Therefore, the dimensions of the planned garden are 6 ft by 11 ft.
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What is the length of y on this circle
8 units
12 units
10 units
18 units
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---------------------------------------
---------------------------------------
Explanation:
Use the intersecting chords theorem to get
y*6 = 4*12
6y = 48
6y/6 = 48/6
y = 8
Therefore y is 8 units long.
Check:
y*6 = 4*12
8*6 = 4*12
48 = 48
our answer checks out
Converting improper fractions to mixed numbers questions
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choose the correct word to complete the following sentance: a natural number is (always, sometimes, never) a whole number
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The set of natural numbers is this {1, 2, 3, 4, 5, ...} basically the set of counting numbers. Zero is not part of this set.
The set of whole numbers is {0, 1, 2, 3, 4, 5, ...} almost the same set but now zero is part of the group.
Any number in the first set is automatically part of the second. We consider the first set to be a subset of the second set. Any natural number you can think of is also a whole number. The same cannot be said the other way around. As you can see, zero is NOT a natural number. So the set of whole numbers is not a subset of the natural numbers.
Kira and ahmad walk around a track. Kira walks each lap in 10 minutes.Ahmad walks each lap in 12 minutes. The two of them begin at the starting line at the same time.They walks until they meet again at the starting line. How much times does it take for them to meet again at the starting line? How many laps did kira complete? How many laps did ahmad complete Plz help <3
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what is the solution to the inequality 2n+5 > 1
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The solution to the inequality 2n + 5 > 1 is n > -2 after isolating the variable n and simplifying the equation.
Explanation:The solution to the inequality 2n + 5 > 1 involves some basic algebra. First, we should isolate the variable, n, on one side of the inequality. This is accomplished by subtracting 5 from both sides of the inequality which gives us: 2n > 1 - 5.
Simplifying the right side gives us 2n > -4. Then, we need to divide every term by 2 which gives us n > -4/2. Simplifying further, we find that the solution to the inequality 2n + 5 > 1 is n > -2.
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Please help. Determine the domain of the inverse function and find the inverse function.
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now, the range for that equation is all real numbers, is a linear equation and therefore will pass the "vertical line test" and thus be a one-to-one function, and therefore will have an inverse function.
for a function that has an inverse function, the range of the original function is exactly the same as the domain for its inverse. Therefore, if the range of that function is all real numbers, then the domain of its inverse is just that.
what's the inverse, well, let's do the switcharoo.
[tex]\bf A=10h\qquad inverse\implies \boxed{h}=10\boxed{A}\impliedby A^{-1}(h)[/tex]
we are not solving for "h", because, well, is already solved for "h".
Solve the Quetion and times 50 equals 5000 explain your solution
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50x/50 = 5000/50 (isolate the x to get the x, do this by dividing each side)
x= 100 (answer)
hope this helps
Gabrielle is 14 years older than Mikhail. The sum of their ages is 96 . What is Mikhail's age?
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How to you find the cotangent of 5(pi)/6?
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cot = [tex]\frac{-\frac{\sqrt{3}}{2}}{\frac{1}{2}} [/tex]
cot = [tex]\frac{-\frac{\sqrt{3}}{2}}{\frac{1}{2}} = -\sqrt{3} [/tex]
The area of a triangle is 27 square feet its height is three times the length of its base find the height and base of the triangle
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A = 27
h = 3b
27 = 1/2 * 3b * b
27 = 1/2 * 3b^2
27 * 2 = 3b^2
54 = 3b^2
54/3 = b^2
18 = b^2
sqrt 18 = b
4.24 = b <=== base
h = 3b
h = 3(4.24)
h = 12.72 <== height
Solve for c.
a(c + b)=d
A. c = d + ab / a
B. c = d − ab/b
C. c = d − ab/a
D. c = ab − d/a
Solve for b.
d = 3a + 3b
A. b = 3a−d/3
B. b = d−3a/3
C. b = d − 3a
D. b = d − 3a/ a
The formula for a trapezoid relates the area A, the two bases, a and b, and the height, h.
A = h(a+b)/2
Solve for b.
b=2A−a/h
b=Ah/2 − a
b=2A/h − a
b=2A/h + a
The formula for the perimeter of a rectangle is P = 2(l+w).
Solve for l.
l = 2P − w
l = p−w/2
l = P/2 + w
l = p/2 − w
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ac + ab = d
ac = d - ab
c = (d - ab) / a
==============
d = 3a + 3b
d - 3a = 3b
(d - 3a) / 3 = b
==============
A = h(a + b) / 2
2A = h(a + b)
2A/h = a + b
(2A/h) - a = b
===============
P = 2(L + W)
2P = L + W
2P - W = L
Answer:
Here is your answer for K12 AZVA:
c = d − a b / a
Please Mark brainiest!
How would I do this?
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The idea is that we have these arguments in symbolic form
P = Ron eats lunch today
Q = Ron eats a sandwich
R = Ron will drink a glass of milk
The format is
"If P then Q" ----> "if Q then R" so therefore "If P then R"
We see that P leads to Q, then Q leads to R. So overall P leads to R. We connect them as a chain of sorts. We can skip over Q since we know the first point will lead to the last. Think of it as a shortcut of sorts.
Nina can ride her bike 63,360 feet in 3,400 seconds, and Sophia can ride her bike 10 miles in 1 hour. What is Nina's rate in miles per hour if there are 5,280 feet in a mile?
Which girl bikes faster?
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3400/60 = 56.6666 minutes/60 = 0.94 hours
63360/5280 = 12 miles
12/0.94 = 12.76 miles per hour for Nina
Nina is faster
2 angles, angle A and angle B, form a linear pair. Angle B is an obtuse angle. What type of angle is angle A
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So, the answer: acute angle.
God bless!
An ant is roughly 10 superscript negative 3 meters in length and the average human roughly one meter. how many times longer is a human than an ant?
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Human = 1 mx = 1 m : 0.001 m = 1 : 1/1,000 = 1 * 1,000 = 1,000Answer: A human is 1,000 times or 10³ times longer than an ant.
if f(x)=-6x+12, then f^-1(x)=
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Okay, so let's start with swapping all of the variables.
x = -6y + 12.
We'll start with subtracting both sides by 12. Our goal is to isolate y, and we do so by doing the inverse of the operation on each value.
Since 12 is positive, the inverse of being positive is negative. So, we shall subtract!
x - 12 = -6y + 12 - 12.
Which leaves us with x - 12 = -6y.
Since the -6 is multiplying our variable, the inverse of multiplication is division, so we shall divide both sides by -6.
[tex] \frac{x - 12}{-6} [/tex] = -6y / -6.
Which leaves us with [tex] \frac{x - 12}{-6} [/tex] = y.
Our final answer is:
[tex] f^{-1}(x) [/tex] = [tex] \frac{x - 12}{-6} [/tex].
Hopefully, this helps! =)
y = -6x + 12
Switching y and x, and then solving for y:
x = -6y + 12
6y = 12 - x
y = [tex] \frac{12- x}{6} [/tex]
Hence,
[tex] f^{-1} (x) = \frac{12- x}{6}[/tex]
Which is true? A 11.949 > 12.000 B 14.887 < 14.097 C 17.0010 > 17.0100 D 19.0929 < 19.7893
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B also not true
D is the only one that is true
Cynthia besch wants to buy a rug for a room that is 1313 ft wide and 2222 ft long. she wants to leave a uniform strip of floor around the rug. she can afford to buy 112112 square feet of carpeting. what dimensions should the rug have?
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Since the area is 112112 square feet, we get that (1313-x) *(2222-x) is the area of the rug which equals 112112. Multiplying it out, we get
x^2-2222x-1313x+(1313*2222)=112112. Next, we get
x^2-3535x+2917486=112112, and we subtract 112112 from both sides to get x^2-3535x+2805374=0. Using the quadratic formula, we get
(3535+-sqrt(3535^2-4*2805374))/2=either around 2332 or 1203. Since it can't be 2332 due to that 1313 is less than that and the rug cannot be negative in width, we get 1203 as the uniform width.
The dimensions of the rug are 1313-1203=around 110 as the width and 2222-1203=around 119 feet
A used car dealership buys a car for $2800 and then sells it for $4500 what is the percent increase?
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The percentage is the indicating hundredth of any change in quantity thus the percentage increase of cars from $2800 to $4500 is 60.72%.
What is the percentage?The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.
As per the given question,
Buying cost of car = $2800
Selling cost of car = $4500
Percentage change = (change/original) × 100
Percentage change = [(4500 - 2800)/(2800)] × 100
Percentage change = [(1700)/2800] × 100
Percentage change = 0.607 × 100
⇒ 60.72%
Hence "The percentage is the indicating hundredth of any change in quantity thus the percentage increase of cars from $2800 to $4500 is 60.72%".
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How is place value used to read decimals
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During the month of February, Fabulous Feet Shoe Mart sold 30 pairs of red loafers. After an ad campaign to boost sales, they sold 39 pairs in March. Find the percent of increase in sales.
35%
30%
23%
18%
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Lola takes the train from Paris to Nice. The distance between the two cities is about 921,000 meters. If the train travels at a speed of 307 kilometers per hour, how long will it take Lola to travel from Paris to Nice
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Answer: It will take 1.75 minutes to travel from Paris to Nice.
Step-by-step explanation:
Since we have given that
Distance between the two cities = 921,000 meters
Since we know that
1 km = 1000 meters
[tex]1\ m=\dfrac{1}{1000}\ km\\\\921000\ m=\dfrac{921000}{1000}\ km=921\ km[/tex]
Speed at which the train travels = 307 km/hr
As we know the formula for time taken:
[tex]Time=\dfrac{Distance}{Speed}=\dfrac{921}{307}=0.029\ hours\\\\Time=0.029\times 60=1.75\ minutes[/tex]
Hence, it will take 1.75 minutes to travel from Paris to Nice.
PLEASE HELP ASAP!!! Will give brainliest!
What is the relationship between 8.76×106 and 8.76×102 ?
Select from the drop-down menus to correctly complete the statement.
8.76×10^6 is ___ times ___ than 8.76×10^2 .
1) 1000, 10,000, 100,000, or 1,000,000.
2) Greater or Less.
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10^6 = 1,000,000
10^2 = 100
1,000,000 / 100 = 10,000
so 8.76x10^6 is 10,000 times greater than
t - yc = b solve for c (literal equations)
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yc = T - b
c = (T - b) / y
hope it helps
Hey!
Hope this helps...
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Like equations with the same variable on both sides...
We want to get c by itself...
T - yc = b [Subtract T from both sides]
-yc = b - T [divide -y from both sides]
c = -(b - T)/y
So...
The answer is: c = -(b - T)/y
Write a real world description to fit the expression -59/5
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A debt of $59 dollars owed by five (5) ladies and will also be divided among them. They borrow $59 dollars to buy the materials for their science project because 3 out of 5 ladies do not have money to spend to their science project.
The measurement 5.22 cm has three significant figures which means that
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Noah wants to put $1,000 in a savings account with a 1.5% annual interest rate. How much more money will he have after one year if it is compounded monthly versus no compounding
A:$0.10
B:$15.00
C:$1015.00
D:$1015.10
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If you put $1000 for annual interest, the saving account would become: $1000*(100%+1.5%)= $1015
If you put $1000 for monthly interest, the saving account would become: ($1000*(100%+0.125%)= $1000*1.0151035559= $1015.10
Then, the money difference should be: $1015.10-$1015= $0.10
(01.04) jorge was tracking the decreasing temperature in the morning. at 7
a.m., it was 65 degrees fahrenheit. at 9
a.m., it was 55 degrees fahrenheit. if jorge made the function f(x) = −5x + 100, what would the −5 represent? (1 point) the temperature at midnight the length of time he recorded for the total change in degrees the rate at which the temperature was decreasing
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Find a number whose product with 9 is the same as its sum with 56
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9x must be the same as x+56:
[tex] 9x = x+56[/tex].
We substruct x from both sides:
[tex] 8x = 56[/tex]
and we divide by 8 in both sides of the equality:
[tex] x = 7[/tex]
Final answer:
The requested number is 7, which when multiplied by 9 or added to 56, gives the same result of 63.
Explanation:
To find a number whose product with 9 is the same as its sum with 56, we set up the equation x * 9 = x + 56. Solving for x, we first distribute the 9 to the x, resulting in 9x = x + 56. Next, we subtract x from both sides to get 8x = 56. Finally, we divide both sides by 8 to find that x = 7. Hence, 7 is the number we are looking for, as 7 * 9 = 63 and 7 + 56 = 63, confirming that the product and the sum yield the same result.