Answer:
8 feetStep-by-step explanation:
Given,
Perimeter of a rectangular pool (P) = 40 feet
Length of the pool (l) = 12 feet
Let,
Width of the pool be = w
As we know,
Perimeter of a rectangle = 2(length + width)Therefore,
By the problem,
=> 2(l + w) = P
[On substituting the values of l = 12 and P = 40]=> 2(12 + w) = 40
[On multiplying 2 with 12 and w]=> 24 + 2w = 40
[On subtracting both sides with 24]=> 24 - 24 + 2w = 40 - 24
[On Simplifying]=> 2w = 16
[On Dividing both sides with 2]=> [tex]\frac{2w}{2}[/tex] = [tex]\frac{16}{2}[/tex]
[On Simplifying]=> w = 8
Hence,
The required width of the pool is 8 feet. (Ans)
Answer:
The Width of the pool would be 8 feet/ft. .
Step-by-step explanation:
According to the Question Given:
Perimeter = 40 ft/feet
Length of the pool = 12 ft/feet
To Find:
The width/breadth of the pool
Solution:
We know that,
[tex] \boxed{\tt \: Perimeter \: of \: Rectangle = 2(l + b)}[/tex]
So Put their values accordingly:
Perimeter of The Rectangle = 40Length[L] = 12[tex]\longrightarrow \tt \: 40 = 2(12 + b)[/tex]
We got an equation.By this method we can easily find the breadth/width of the pool.
Solve this equation:
[tex]\longrightarrow \tt40 = 2b + 24[/tex]
Flip the equation:
[tex]\longrightarrow \tt2b + 24 = 40[/tex]
Transpose 24 to the RHS[remember to change its sign]:[tex]\longrightarrow \tt2b = 40 - 24[/tex]
Simplify:[tex]\longrightarrow \tt2b = 16[/tex]
Divide both sides by 2:
[tex] \tt\longrightarrow \cfrac{2b}{2} = \cfrac{16}{2} [/tex]
Use Cancellation method and cancel LHS and RHS:[tex]\tt\longrightarrow \cfrac{ \cancel2 {}^{1} b}{ \cancel2} = \cfrac{ \cancel{16} {}^{8} }{ \cancel2} [/tex]
[tex]\longrightarrow \tt1b = 8[/tex]
[tex]\longrightarrow \tt{b} =\boxed{\tt 8 \: feet}[/tex]
Hence, the breadth/width of the pool would be 8 ft./feet .
[tex] \rule{225pt}{2pt}[/tex]
I hope this helps!
What is the area of the figure? Explain.
Answer:
24 cm²
Step-by-step explanation:
The rectangular section on the right is 8 - 4 = 4 cm wide.
It is 3 + 1.5 = 4.5 cm tall.
The area of the rectangular section is ...
A = LW
A = (4.5 cm)(4 cm) = 18 cm²
__
The triangular section on the left is 4 cm wide and 3 cm high. Its area is ...
A = 1/2bh
A = 1/2(4 cm)(3 cm) = 6 cm²
The total shaded area is the sum of the areas of the triangular section and the rectangular section:
area = 18 cm² +6 cm² = 24 cm² . . . area of the figure
ASAPPPPPPPPPPPPPP Pls help question in picture
Answer:
Three ways I experience these benefits is 1, being able to vote in free elections, 2, being able to receive an education, and 3, being able to volunteer for things.
Step-by-step explanation:
A basketball team played six games. In those games, the team won by 7 points, lost by 20, won by 8, won by 11, lost by 3, and won by 9. Which was the mean amount by which the team won or lost over the six games?
A. -3 points
B. 2 points
C. 3 points
D. 6 points
A box of candy weighs 340. 23 grams and costs $18. 99. If 1 gram is approximately 0. 03527 ounces, what is the unit price per ounce of the candy? a. $0. 53 b. $0. 67 c. $1. 58 d. $1. 97.
Unit price per ounce of the candy of 340.23 grams is $1.58
What is ounce and gram ?Ounce and gram are two different unit of mass and relation between them is 1 gram = 0.03527 ounces .
In the question it is given that weight of candy is 340.23 grams
And it costs $18.99
Now we can covert grams to ounces as
[tex]1 \text{gram}= \ 0.03527 \text{ounces}\\[/tex]
Hence
[tex]340.23 \text{gram}= \ 340.23\times 0.03527 \text{ounces}\\\\\\340.23 \text{gram}=11.99 \ \text{ounces}\\[/tex]
Now 11.99 ounces of candy cost $18.99
So 1 ounce of candy cost 18.99/11.99= $1.58
Unit price per ounce of the candy of 340.23 grams is $1.58
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Solve the equation. (7x + 1 /16 = 1 /2
Answer:
x=1/16
Step-by-step explanation:
[tex]7x + 1 /16 = 1 /2\\\\7x=1/2-1/16\\\\7x=8-1/16\\\\7x=7/16\\\\x=7/16*7\\\\x=7/112\\\\x=1/16[/tex]
I need help please I need problem 2
Diagonals of paralleogram bisect eachother
[tex]\\ \rm\longmapsto 5x=30[/tex]
[tex]\\ \rm\longmapsto x=30/5[/tex]
[tex]\\ \rm\longmapsto x=6[/tex]
As we know that, Diagonal of parallelogram bisect each other. That means the two halves of the diagonal are equal. According to this property;
[tex]5x = 30[/tex]
Now, Solve for x by dividing both sides of equation by 5 to eliminate the coefficient of x
[tex]x = 6[/tex]
Verification:[tex]5x = 30[/tex]
x = 6[tex]5 \times 6 = 30 \\ 30 = 30[/tex]
Story Problems Level 1
Ean buys lilies and gladiolas
He buys 36 total flowers
He pays $126 total.
Lilies cost $2, gladiolas cost $5
How many of each flower did he buy?
State the variables carefully
(hint,go look at the go karts and bikes prob
Total cost
Guys pls help me asap
Answer:ngl ion een kno cuh
Step-by-step explanation:
serena paid $24.60 for 7 1/2 gal of gasoline
Answer:
For each gallon, serena payed $3.28.
Step-by-step explanation:
Answer:
Serena paid 3.28 for each gal of gasoline
Step-by-step explanation:
Simply, divide 24.60 by [tex]7\frac{1}{2}[/tex] and you get 3.28 (your answer)
How many points did Miguel earn?
Billy earned 32 points on the quiz.
Miguel earned 5 more points than Billy.
Answer:
Miguel earned 37 points.
Step-by-step explanation:
32+5=37
4. What is the solution to the inequality
below?
2x + 10 < 40
A x< 10
CX > 10
B x < 15
D x> 15
Answer:
the answer I got was B
Step-by-step explanation:
subtact 10 from both sides:
2x + 10 - 10 < 40 - 10
simplify the arithmetic:
2x < 40 - 10
simply again:
2x < 30
divide:
30 / 2 = 15
HELP!!!! In the diagram, which pair of angles are corresponding angles? 1 and 8, 4 and 6, 3 and 7, 2 and4????
Answer:
Diagram not visible!
Corresponding angles are equal.
Step-by-step explanation:
I think you would have to ask the question again.
Please help me solve this inequality thank you
Answer:
x < 4
Step-by-step explanation:
12x - 11 < 37 ( add 11 to both sides )
12x < 48 ( divide both sides by 12 )
x < 4
Find [tex]\frac{d^2y}{dx^2}[/tex] if [tex]x^2y^2=1[/tex]
Options:
A. [tex]\frac{2y}{x^2}[/tex]
B. 0
C. [tex]\frac{y}{x}[/tex]
D. [tex]\frac{-y}{x}[/tex]
E. [tex]\frac{-y}{x^2}[/tex]
Answer:
A) [tex]\frac{d^2y}{dx^2}=\frac{2y}{x^2}[/tex]
Step-by-step explanation:
Use implicit differentiation to find dy/dx
[tex]x^2y^2=1\\\\\frac{d}{dx}(x^2y^2)=\frac{d}{dx}(1)\\ \\x^2(\frac{d}{dx}y^2)+(\frac{d}{dx}(x^2))y^2 =0\\\\2yx^2\frac{dy}{dx}+2xy^2=0\\\\2xy(x\frac{dy}{dx}+y)=0\\ \\x\frac{dy}{dx}+y=0\\ \\x\frac{dy}{dx}=-y\\ \\\frac{dy}{dx}=-\frac{y}{x}[/tex]
Determine d²y/dx² using dy/dx
[tex]\frac{dy}{dx}=\frac{-y}{x}\\ \\ \frac{d^2y}{dx^2}=\frac{(x)[\frac{d}{dx}(-y)]-(-y)[\frac{d}{dx}(x)] }{x^2}\\ \\ \frac{d^2y}{dx^2}=\frac{-x\frac{dy}{dx}+y}{x^2}\\ \\ \frac{d^2y}{dx^2}=\frac{-x(\frac{-y}{x})+y}{x^2}\\\\ \frac{d^2y}{dx^2}=\frac{-(-y)+y}{x^2}\\\\ \frac{d^2y}{dx^2}=\frac{y+y}{x^2}\\\\ \frac{d^2y}{dx^2}=\frac{2y}{x^2}[/tex]
Helpful tips
When doing implicit differentiation, make sure to treat "y" as a constant and write dy/dx next to the y-term because it's differentiated with respect to xThe product rule is [tex]\frac{d}{dx}[f(x)g(x)]=f(x)[\frac{d}{dx}g(x)]+[\frac{d}{dx}f(x)]g(x)[/tex]The quotient rule is [tex]\frac{d}{dx}[\frac{f(x)}{g(x)}]=\frac{f(x)[\frac{d}{dx}g(x)]-g(x)[\frac{d}{dx}f(x)]}{(g(x))^2}[/tex][tex]\frac{dy}{dx}[/tex] represents the first derivative of y with respect to x and [tex]\frac{d^2y}{dx^2}[/tex] represents the second derivative of y with respect to xLet me know if you have any more questions!
Katie is making cookies. She makes a batch of 18 cookies. Her little brother Bridger ate some of the cookies and Katie wants to see how many are left. How many cookies did Bridger eat? How many are left over?
Answer:
15 cookies
Step-by-step explanation:
Well she has 18 and well we know that
some = a few= 3
SO all you have too is subtract 18-3
and get 15 cookies ;)!
YW!
(SHOW UR WORK) What is the result of 90.425 subtracted from 48.4?
Answer
42.025
Step-by-step explanation:
8
90.425
- 48.400
= 42.025
You substitute the 9 to an 8
Hope this helps ._.
What is the value of x in this figure?
x = 22
x = 68
X = 90
Answer:
2nd Option 68 :)
Step-by-step explanation:
A rectangular vegetable garden will have a width that is 4 feet less than the length, and an area of 140 square feet. If x
represents the length, then the length can be found by solving the equation:
x(x - 4) = 140
What is the length, x, of the garden?
The length is
feet
Answer:
14
Step-by-step explanation:
x equals 14
14(14-4)=140
Please name every primary number up to 1000
Answer:
2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199, 211, 223, 227, 229, 233, 239, 241, 251, 257, 263, 269, 271, 277, 281, 283, 293, 307, 311, 313, 317, 331, 337, 347, 349, 353, 359, 367, 373, 379, 383, 389, 397, 401, 409, 419, 421, 431, 433, 439, 443, 449, 457, 461, 463, 467, 479, 487, 491, 499, 503, 509, 521, 523, 541, 547, 557, 563, 569, 571, 577, 587, 593, 599, 601, 607, 613, 617, 619, 631, 641, 643, 647, 653, 659, 661, 673, 677, 683, 691, 701, 709, 719, 727, 733, 739, 743, 751, 757, 761, 769, 773, 787, 797, 809, 811, 821, 823, 827, 829, 839, 853, 857, 859, 863, 877, 881, 883, 887, 907, 911, 919, 929, 937, 941, 947, 953, 967, 971, 977, 983, 991, 997
Step-by-step explanation:
168 total
Determine whether the line through (−4, 6) and (−3, −2) intersects the line through (−3, −3) and (−5, 5).
Answer: No
Step-by-step explanation:
Like all the numbers in are the negative sides of the axis, -3,3 could not possibly go through -3, -2 because one side is horizontal the other is vertical.
a number y squared plus twice the same number minus seventy-four
Step-by-step explanation:
Key words:
Squared - To the power of 2.Plus - AdditionTwice - 2 Times/DoubleMinus - SubtractionLet's create an equation:
y is squared.
[tex] {y}^{2} [/tex]
Then, added to twice the same number.
[tex] {y}^{2} + {y}^{4} [/tex]
Lastly, minus by 74.
[tex] {y}^{2} + {y}^{4} - 74[/tex]
is your equation.
Eighteen is 25% less than what number?
Answer:
72
Step-by-step explanation:
multiply 18 by 4,
since 100/4 is 25, and four quarters makes a dollar, multiply it by 4
18(4) = 72
Leonard went fishing and caught 40 fish in 8 hours. Charlotte went fishing and caught 32 fish in 8 hours. On average, how many fish did Leonard catch in one hour? On average, how many fish did Charlotte catch in one hour? Use unit rates to determine who caught fish faster.
To find the average divide total caught by total hours:
Leonard = 40 / 8 = 5 fish per hour
Charlotte = 32/8 = 4 fish per hour
Leonard caught more fish per hour.
Answer:
See Below.
Step-by-step explanation:
average: fishes caught/time takenFor Leonard: 40/8 = 5 fishes/hr
For Charlotte: 32/8 = 4 fishes/hr
On average, 5 fishes Leonard caught in one hour.On average, 4 fishes Charlotte caught in one hour.From this, we can identify that Leonard caught more fishes per hour or faster.
Parallelogram ABCD is a rhombus. Side BC= 5 cm and segment AO = 3.8 cm. what is the area of ABCD
The area of a shape is the amount of space it occupies
The area of the rhombus is 24.7 square inches
How to determine the area of the rhombusStart by calculating the length BO using the following Pythagoras theorem
[tex]BC^2 = AO^2 + BO^2[/tex]
So, we have:
[tex]5^2 = 3.8^2 + BO^2[/tex]
Evaluate the exponents
[tex]25 = 14.44 + BO^2[/tex]
Collect like terms
[tex]BO^2 = 25 - 14.44[/tex]
[tex]BO^2 = 10.56[/tex]
Take the square roots
[tex]BO = 3.25[/tex]
The area of the rhombus is then calculated as:
[tex]Area = \frac{2BO * 2AO}{2}[/tex]
This gives
[tex]Area = \frac{2 * 3.25 * 2 * 3.8}{2}[/tex]
[tex]Area = 24.7[/tex]
Hence, the area of the rhombus is 24.7 square inches
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The net for a cube is shown below. Find the lateral surface area of the
cube.
8 m
Answer:
48 m
Step-by-step explanation:
8 times 6 which is how many sides a square has.
I need help I forgot all about this and I would appreciate it!
Answer:
$3.75
Step-by-step explanation:
You only have to multiply 3 pounds by the $1.25 to get the cost.
A farmer owns a total of 8 4/5 acres of land. The land is separated into 4
equally sized sections. How many acres are in each section?
Explanation:
The mixed number 8 & 4/5 consists of the whole part 8 and the fractional part 4/5.
Divide the whole part 8 into 4 equal pieces
8/4 = 2
This means 2 is part of the final answer.
Also, divide the 4/5 into 4 equal pieces as well. This is the same as multiplying by 1/4
(1/4)*(4/5) = 1/5
Overall, the size of each section is 2 & 1/5 acres
Can someone tell me if this right or wrong
Answer:
Yes, it's right
Step-by-step explanation:
solve: this equation down below:
7×10n=700
Answer:
n = 10
Step-by-step explanation:
[tex]7 \times 10n = 700 \\ 10n = \frac{700}{7} \\ 10n = 100 \\ \frac{10n}{10} = \frac{100}{10} \\ n = 10[/tex]
An investor bought 50 shares of stock for $98.40 per share when the value of the stock was $142.00 per share
The profit on the shares is $2180
How to determine the profit on the sharesFrom the question, we have the following parameters that can be used in our computation:
Number of shares = 50
Cost price = $98.40
Current price = $142.00
The profit on the shares is then calculated as
Profit = (Current price - Cost price) * Number of shares
Substitute the known values in the above equation, so, we have the following representation
Profit = (142 - 98.40) * 50
Evaluate
Profit = 2180
Hence, the profit is $2180
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#SPJ1
Arnold and jamie are both performing the same experiment. Arnold does 20 trials and gets 7 positive results. Jamie does 10 trials and gets 3 positive results. What is the best estimate for the probability of a positive result. Marking brainliest
A. 1/2
b. 1/3
c. 1/4
d. 1/5
Answer:
B
Step-by-step explanation:
This is all 1/3 of the number of times the experiment was tried to put in perspective john has 10 apples and he gives 3 away that's about 1/3 of the amount of apples