A square plot of land will be fully used for a square swimming pool with a 5 foot wide walkway around it. The area of the entire plot, including the walkway, is A square feet. Which expression gives the length of the pool?
Answers
Answer:
The expression that gives the length of the pool is [tex]\sqrt{A}[/tex] - 5
Step-by-step explanation:
Assume that the length of the pool is x feet
∵ The length of the pool is x feet
∵ The wide of the walkway around the pool is 5 feet
∴ The total length of the pool with the walkway = (x + 5) feet
∵ The area of the entire plot, including the walkway, is A square feet
∴ The area of the entire plot, including the walkway = A feet²
∵ The area of the square = (length)²
→ Substitute the length by (x + 5)
∴ The area of the entire plot, including the walkway = (x + 5)² feet²
→ Equate it by A
∴ A = (x + 5)²
→ To find x take square root for both sides
∵ [tex]\sqrt{A}[/tex] = [tex]\sqrt{(x+5)^{2}}[/tex]
→ Cancel the square root of the right side by power 2
∴ [tex]\sqrt{A}[/tex] = x + 5
→ Subtract 5 from both sides
∵ [tex]\sqrt{A}[/tex] - 5 = x + 5 - 5
∴ [tex]\sqrt{A}[/tex] - 5 = x
→ x represents the length of the pool
∴ The length of the pool is [tex]\sqrt{A}[/tex] - 5 feet
∴ The expression that gives the length of the pool is [tex]\sqrt{A}[/tex] - 5
The length of the pool will be √A-10.
What is area?Area is defined as the total space taken up by a flat surface or shape of an object.
Given that, A square plot of land will be fully used for a square swimming pool with a 5-foot wide walkway around it. The area of the entire plot, including the walkway, is A square foot.
The area of a square is side².
Let the side of the walkway be (x+10)
A = (x+10)²
√A = x+10
x = √A-10
Hence, The length of the pool will be √A-10.
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Related Questions
Arianna correctly simplified an expression. When she substituted x=2 into the simplified expression, the value was –4. Which could be Arianna’s original expression? One-sixth (negative 3 x minus 24)
One-sixth (negative 5 x minus 8)
One-sixth (negative 10 x minus 4)
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Answer:
Step-by-step explanation: 1/6(-10x-4) or C
Answer: C
Step-by-step explanation:
Ms. Cole has 4 yards of string. She cuts the string into pieces that are each 1/2 yard long. How many pieces of string does Ms. Cole have? One-eighth One-fourth 2/8
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Step-by-step explanation:
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8
Step-by-step explanation:
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Answer:
the number of grain of salt in the packet
5,401.23
Step-by-step explanation:
1 grain .................... 6.48x10^-5 kg salt
x grain.................... 0.35 kg salt
x= 5,401.23
a) The number of grains of salt in the packet are 5.4 x [tex]10^6[/tex] grains. b) The answer in part (a) is unlikely to be the actual number of grains of salt in the packet because the weight of a grain of salt can vary.
a) The number of grains of salt in the packet can be calculated as follows:
number of grains = total weight of salt / weight of one grain
= 0.35 kg / 6.48 x [tex]10^{-5[/tex] kg/grain
= 5.4 x [tex]10^6[/tex] grains
b) The answer in part (a) is unlikely to be the actual number of grains of salt in the packet because the weight of a grain of salt can vary. The average weight of a grain of salt is 6.48 x [tex]10^{-5[/tex] kg, but the actual weight can be anywhere from 6.2 x [tex]10^{-5[/tex] kg to 6.7 x [tex]10^{-5[/tex] kg. This means that the actual number of grains of salt in the packet could be anywhere from 5.2 x [tex]10^6[/tex] grains to 5.6 x [tex]10^6[/tex] grains.
In addition, the density of salt can also vary slightly, which would also affect the number of grains of salt in the packet.
Therefore, the answer in part (a) is only an estimate of the actual number of grains of salt in the packet.
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You start a new business. The location costs $100,000 to rent for one year. The items cost you $12 to make. You sell the items for $20 each. How many items do you have to sell to break-even (make back what you spent) ?
Answers
Answer:my stuff is gliched
Step-by-step explanation:
What is the slope of the line that passes through the points (-4,2) and (2,-1)
Answers
Answer:
1/-2 is the slope
Step-by-step explanation:
[tex]\frac{2-(-1)}{-4-2} = \frac{2+1}{-4-2} = \frac{3}{-6} = \frac{1}{-2}[/tex]
Answer:
-1/2
Step-by-step explanation:
find the difference btwn the second and first y coords.
-1 - 2 = -3
find the difference between second and first x coords.
2 - -4 = 6
-3/6 simplifies to -1/2
Maya will deposit $1,650 in an account that earns 5% simple interest every year. Her brother, James, will deposit $1,600 in an account that earns 8% interest compounded annually. The deposits will be made on the same day, and no additional money will be deposited or withdrawn from the accounts. Compare and contrast the two siblings' accounts after four years
Answers
Answer:
each year james gets 3% more interest than maya. over 4 years james gets 34% interest and maya gets 20%. over 4 years james gets 16% more than maya.
HELP I DONT UNDERSTAND!
Answers
Answer:
B
Step-by-step explanation:
5/2=15/6=20/8=2.5
(4y + 5) + (-7y - 1)
Answers
Answer:
-3y+4
Step-by-step explanation:
(4y + 5) + (-7y - 1)=
4y-7y+5-1=
-3y+4
Find three consecutive odd integers such that when the third is subtracted from five times
the sum of the first and second, the result is 798 more than the first.
Answers
9514 1404 393
Answer:
99, 101, 103
Step-by-step explanation:
Let x represent the smallest. Then the sum of the first two is (x+x+2) and the third is x+4. The problem statement tells us the relation ...
5(2x +2) -(x +4) = x +798
10x +10 -x -4 = x +798
8x = 792
x = 99
The integers are 99, 101, 103.
__
Check
5(99 +101) -103 = 99 +798
897 = 897 . . . . answer checks OK
Which one is it please hurry. Thank you
Answers
Answer: I think it’s A if I am incorrect I am very sorry
Step-by-step explanation:
Ricky is solving a multiplication problem where both terms include decimal values. The first term has 4 digits after the decimal. The second term has 5 digits after the decimal. The product will have how many digits after the decimal?
Answers
Answer:
9 digits
Step-by-step explanation:
when doing multiplication with decimals the amount of digits after the decimal in the final product will be the sum of the amounts of digits after the decimal in the two numbers being multiplied together
For example, If you were to multiply 6.789 by 10.321 the answer would be 70.069269. There are six digits after the decimal because the numbers being multiplied each have three digits after their decimals
(If that makes sense. If not, I'm sorry)
(28 ⋅ 3−5 ⋅ 60)−2 ⋅ 3 to the power of negative 2 over 2 to the power of 3, whole to the power of 4 ⋅ 228
Answers
The answer would look like this:
(2^8 × 5^–5 × 19^0)–2 ×× 228 = (2^–16 × 5^10 × 19^0) × × 2^28 = (2^–16 × 5^10 × 1) × × 2^28 = (2^–16 × 5^10 × 1) × 5^–8 × 2^–12 × 2^28 = (2^–16 × 2^–12 × 2^28) ×(5^10 ×5^–8) = 2^–28 × 2^28× 5^2 = 2^0 × 25 = 25
Which of the following equations is equivalent to 4(a + 2) – 2(a – 8) = 24?
Answers
Answer:
Step-by-step explanation:
4a + 8 - 2a + 16 = 24
Solving like terms
2a + 24 = 24
2a = 24 - 24
2a = 0
Answer: 2a+24=24
Step-by-step explanation: How to get the CORRECT answer:
4(a+2)-2(a-8)
4a + 8 - 2 (a-8)
4a + 8 - 2a + 16
2a + 8 + 16
2a + 24
Final Answer: 2a + 24
I also got it correct on my test, hope this helps :)
The new post office has an area that is 6.5 times the area of the old post office. Let p represent the area of the old post office. Write an expression to represent the area of the new post office?
Answers
Answer:
[tex]Area = 6.5p[/tex]
Step-by-step explanation:
Given
[tex]Area\ of\ Old = p[/tex]
[tex]Area\ of\ New = 6.5 * Area\ of\ Old[/tex]
Required
Write an expression for the area of new post office
From the question, we have the following:
[tex]Area\ of\ Old = p[/tex]
and
[tex]Area\ of\ New = 6.5 * Area\ of\ Old[/tex]
Substitute p for Area of Old in the second equation
[tex]Area\ of\ New = 6.5 * p[/tex]
[tex]Area\ of\ New = 6.5 p[/tex]
Hence, the expression is:
[tex]Area = 6.5p[/tex]
At one gas station, gas costs $2.75 per gallon. Write an equation that relates the total cost, C, to the number of gallons of gas purchased, g.
Answers
Answer:
2.75g=c
Step-by-step explanation:
not quite sure what your asking, but this is my best answer you take the 2.75 base cost, add the variable G for the gallons purchased which gives you 2.75g which in the end would give you the total cost (C) giving you the equation 2.75g=c
if this isnt what you were asking id be happy to help if you elaborate more or post the exact question your needing help on
In these pictures, you have to find the area
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4.
Peppa has a carton with a dozen eggs in it. 6 eggs are brown.
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Answers
Answer:
6/12 or 1/2
Step-by-step explanation:
there ya go i think its right
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Answers
Answer:
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Answers
Answer:
A, C, D are true.
Step-by-step explanation:
Answer: A,B,C,D
Step-by-step explanation:
ALL ARE TRUE I JUST TOOK THE TEST A P E X
Find the y-intercept of the line y=-4x +2. Write the point as a coordinate (x,
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Answers
Answer:
(0, 2)
Step-by-step explanation:
You know the x-value has to be 0 in a y-intercept then you get you y-value by looking at b (assuming you are using y = mx + b) to get your y-value
HELP ASAP TIMED! GIVING BRAINLIEST
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4680
Step-by-step explanation:
65% of 7200 is 4680
Answer:
4680
Step-by-step explanation:
65% of 7200 is 4680
At a sale, suits were sold for $116 each. This price was 58% of a suit's original price. How much did a suit originally cost?
Answers
58% is 0.58.
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116 / 0.58
Original price is $200.00
A train leaves the station at time t0. Traveling at a constant speed, the train travels 360 kilometers in 3 hours. Write a function that relates the distance traveled d to the time t
Answers
Answer:
d=120t
Step-by-step explanation:
i dont have an explanation for this i just got it wrong and im giving you the answer hope this helps also you have to put it in exactly like this
d = 120t
^^^^^^^^
The function that relates the distance traveled d to the time t is (d = 120t) and this can be determined by using the formula of speed.
Given :
A train leaves the station at time t0. Traveling at a constant speed, the train travels 360 kilometers in 3 hours.The following steps can be used in order to determine the function that relates the distance traveled d to the time t:
Step 1 - The formula of speed can be used in order to determine the function that relates the distance traveled d to the time t.
Step 2 - The speed formula is given below:
[tex]\rm s = \dfrac{d}{t}[/tex]
where distance is 'd' and time is 't'.
Step 3 - Now, substitute the values of d = 360 and t = 3 in the above formula.
[tex]\rm s = \dfrac{360}{3}[/tex]
s = 120 km/hr
Step 4 - Now, at time 't' the distance is given by:
[tex]120=\dfrac{d}{t}[/tex]
d = 120t
For more information, refer to the link given below:
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List the following numbers from least to greatest: -12, 0.7, 3/4, -15, 0.05
Answers
Answer:
-15, -12, 0,05, 0,7, 3/4
Answer: That's easy, the answer is –15, –12, 0.05, 0.7, and 3/4 (0.75).
Step-by-step explanation:
please help me this is worth alot of points:(
Answers
SOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
I´m sure this was already answered because for me it says it was from a while ago so ima just take tha points
THAMKSSSSSSSSSSSSSSSSSSSSSS
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Answers
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Step-by-step explanation: ujjnnmmc’ecknjcnrjbbhf
Answer:
- 44/3
Step-by-step explanation:
if that spaced out 2 at the end is 22 then the above answer is right
4 Ted finished 1/8 of his homework this
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much homework does Ted have left?
Answers
Answer:
6 /1
Step-by-step explanation:
1/8+3/4= 24/4 = 6 or 6/1
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Answers
Answer:
I wasn't sure which 4 you were talking about, but I hope this helps! xx
Step-by-step explanation:
4- hundred-thousands
5- ten-thousands
3- thousands
4- hundreds
8- tens
Divide. Reduce the answer to lowest terms.
3/7 ÷ 1 1/6
Answers
9514 1404 393
Answer:
18/49
Step-by-step explanation:
Invert and multiply:
3/7 ÷ 1 1/6 = (3/7) ÷ (7/6)
= (3/7)×(6/7) = (3×6)/(7×7)
= 18/49
Answer:
Step-by-step explanation:
3/7 / 7/6
3/7 x 6/7= 18/49
x is less than 6 and greater than -1
Answers
Answer:
0, 1,2,3,4,5
Step-by-step explanation:
...............