Answer:
$340
Step-by-step explanation:
We are told that the pool measures 15 feet by 30 feet,
Since the cost of the wood around it is per yards, let's convert this measurement to yards.
15 ft = 5 yards
30 ft = 10 yards
The deck is 3 ft wide. Converting to yards it is 1 yard.
Since the deck is round the pool, it means when we add it to the pool dimensions, we now have a dimension of; width: 7 yards by length: 12 yards
Thus, total area of pool and deck is;
A_t = 7 × 12 = 84 Sq.yds
Area of only pool is;
A_p = 5 × 10 = 50 Sq.yds
Finally, area of the deck will be;
A_d = 84 Sq.yds - 50 Sq.yds = 34 Sq.yds
We are told that the costs of the wood is $10 per Sq.yds
Thus, total cost is;
C = 10 × 34
C = $340
1 2/5 as a fraction.
Answer:
7/5
Step-by-step explanation:
Use the backwards C:
5 times 1 = 5
5 + 2 = 7
7/5
Answer:
7/5is the answer, hope this helps you out!
9. Which of the following numbers is the greatest?
A. 0.2324
B. 0.2324
C. 0.2324
D. 0.2324
E. 0.2324
Answer:
None there all the same
Step-by-step explanation:
Answer:
Lol I could be wrong but I think all of the above
Reema has a road map with a scale of 1 cm representing 20 km. She drives 80 km on the road. What is the distance covered according to the map?
Answer:
4 cm on map
Step-by-step explanation:
since 1 cm on map represents 20 km on road, we can either use proportion or ratio to solve this, I'm using direct proportion
map : road
1 : 20
x : 80
20x = 80
x = 80/20
x =4
so 80 km on road is 4 cm on map
please give brainliest
stephanie invests $3,991 in a retirement account with a fixed annual interest rate of 6% compound continuously. What will the account balance be after 13 years?
Answer:
7103.98
Step-by-step explanation:
1) 3991 × 6% = 239.46 intrest rate of a year
2) 239.46 × 13 = 3112.98 intrest rate of 6% for 13yrs
3) 3991 + 3112.98 = 7103.98 Stephanie account balance after 13 yrs
A pitcher of water at 40 degrees Fahrenheit is placed into a 70 degree room. One hour later, the temperature has risen to 45 degrees. How long will it take for the temperature to rise to 60 degrees?
Answer:
3 hours
Step-by-step explanation:
The difference between the initial temperature and the temperature after an hour is an increase of 5 degrees. Since we need to calculate the time it would take for the temperature to rise to 60 degrees we need to find the difference in degrees from the current temperature to 60 degrees.
60 - 45 = 15 degrees
Since 1 hour equals an increase of 5 degrees we need to divide 15 by 5 to calculate how many hours before the temperature increases to 60 degrees
15 / 5 = 3 hours
It will take 3 hours for the temperature to rise to 60 degrees.
Represent time with x, and the temperature with y.
So, the given parameters can be represented using the following ordered pairs
(x,y) = (0,40) (1, 45), (x,60)
Start by calculating the slope using:
[tex]m = \frac{y_2-y_1}{x_2 -x_1}[/tex]
So, we have:
[tex]m = \frac{45 -40}{1-0}[/tex]
[tex]m = 5[/tex]
Calculate the slope again, using a different set of points.
So, we have:
[tex]m = \frac{60 - 45}{x - 1}[/tex]
This gives
[tex]m = \frac{15}{x}[/tex]
Multiply both sides by x
[tex]mx = 15[/tex]
Divide both sides by m
[tex]x = \frac{15}m[/tex]
Substitute 5 for m
[tex]x = \frac{15}5[/tex]
[tex]x = 3[/tex]
Hence, it will take 3 hours for the temperature to rise to 60 degrees.
Read more about linear functions at:
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Solve for s.
3(7.68 + 9s) = -3(-6.8s - 7.02)
Step-by-step explanation:
answer is -0.3.............
Find three consecutive even integers such that the sum of the squares of the first two is four less than twice the square of the third.
Answer:
the three consecutive even integers are -2, 0, 2
Step-by-step explanation:
Let the first even integer = n
Let the second even integer = n + 2
Let the third even integer = n + 4
From the given statement, we form the equation below
(n²) + (n + 2)² + 4 = 2(n + 4)²
Expand this equation;
n² + (n + 2)(n + 2) + 4 = 2(n + 4)(n + 4)
n² + n² + 2n + 2n + 4 + 4 = 2(n² + 4n + 4n + 16)
2n² + 4n + 8 = 2(n² + 8n + 16)
2n² + 4n + 8 = 2n² + 16n + 32
collect like terms together;
2n² - 2n² + 4n - 16n = 32 - 8
- 12n = 24
-n = 24/12
-n = 2
n = -2
Second integer = n + 2
= -2 + 2 = 0
Third integer = n + 4
= -2 + 4
= 2
Therefore, the three consecutive even integers are -2, 0, 2
The three consecutive even integers are -2, 0, 2
The calculation is as follows:
Let us assume the first even integer = n
Let us assume the second even integer = n + 2
Let us assume the third even integer = n + 4
Now
[tex](n^2) + (n + 2)^2 + 4 = 2(n + 4)^2\\\\n^2 + (n + 2)(n + 2) + 4 = 2(n + 4)(n + 4)\\\\n^2 + n^2 + 2n + 2n + 4 + 4 = 2(n^2 + 4n + 4n + 16)\\\\2n^2 + 4n + 8 = 2(n^2 + 8n + 16)\\\\2n^2 + 4n + 8 = 2n^2 + 16n + 32\\\\2n^2 - 2n^2 + 4n - 16n = 32 - 8\\\\- 12n = 24[/tex]
n = -2
Now
Second integer = n + 2
= -2 + 2 = 0
And,
Third integer = n + 4
= -2 + 4
= 2
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Which Statement is True?
Answer:
D or last one
Step-by-step explanation:
5x +y=8
2x +y = 32
how do i solve this using the system of elimination? (only using + and -) helppp
PLEASE HELP ME!!!!
A 25-foot wire connects the top of a utility pole to a point on the ground located 7 feet away from the base of the pole.
If h represents the height of the pole, what is its measure?
A. 175 ft.
B. 24 ft.
C. 674 ft.
D. 1250 ft.
Answer:
The answer is D
Step-by-step explanation:
The measure of the height of the pole (h) will be;
⇒ h = 24 ft.
What is Pythagoras theorem?
The Pythagoras theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the square of the other two sides.
We have to given that;
The length of the wire which connects the top of a utility pole to a point on the ground = 25 foot
And, A point on the ground located 7 feet away from the base of the pole.
Now,
Let the height of the pole = h
So, We can apply the Pythagoras theorem as;
⇒ 25² = h² + 7²
⇒ 625 = h² + 49
⇒ h² = 625 - 49
⇒ h² = 576
⇒ h = √576
⇒ h = 24 ft.
Thus, The height of the pole = 24 ft.
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Can someone please help me?
Verify the identity 1 - sin^2 x cot^2 x = sin^2 x. Is there more than one way to verify the identity? If so, tell which way you think is easier and why.
Answer:
the given identity is true.
Step-by-step explanation:
this identity may be verified using several ways, the simpliest is:
1-sin^2xcot^2x=sin^2x;
[tex]1-sin^2x*\frac{cos^2x}{sin^2x}=sin^2x;[/tex]
1-cos^2 x=sin^2 x;
sin^2 x= sin^2 x.
A fishing hook is at an elevation of −12 m relative to sea level. Half an hour later, the fishing hook's elevation increases by 12 m. Which equation represents this situation?
Answer:
[tex]-12m + 12m =0[/tex]
Step-by-step explanation:
Given
[tex]Initial\ Position = -12m[/tex]
[tex]Rise = 12m[/tex]
Required
Represent as an equation
The new position of the hook is calculated by:
[tex]New\ Position = Initial\ Position + Rise[/tex]
This gives:
[tex]New\ Position = -12m + 12m[/tex]
[tex]New\ Position = 0[/tex]
Hence, the equation is:
[tex]-12m + 12m =0[/tex]
PLEASE HELP ME QUICK
Lori tosses a ball into the air. The equation y = –16(x – 1)2 + 25 models the height, y, in feet, of the ball after x seconds. What is the maximum height the ball reaches?
1 ft
9 ft
16 ft
25 ft
Answer: D. 25 ft
Step-by-step explanation:
When graphing a parabola in the format [tex]y = a(x-h)^2+k[/tex], know that:
if a is positive, the parabola points upwards (meaning that there is only a minimum value, no maximum exists) if a is negative, the parabola points downwards (there is a maximum, but no minimum)You can try playing around with these values on a graphing calculator like Desmos!
In both cases, k would be the minimum or maximum value.
For this problem, k = 25. So, the maximum is 25 ft.
Additional information:
the parabola equation is in vertex form, so (h, k) is the vertexHELP PLEASE. I ONLY HAVE 25 MINUTESSS..
Answer:
D, 42
Step-by-step explanation:
Answer: D) 42
Step-by-step explanation:
1. Connie had 5 marbles. Jim gave her 8 more marbles. How many does Connie have all
together?
Answer:
Connie has 13 marbles in total.
Step-by-step explanation:
5+8=13
Answer:
Connie's 5 marbles + Jim's 8 marbles = 13 Total Marbles that Connie now has.
54 out of the 60 magazines at the bookstore are women's magazines. What percentage of the magazines at the bookstore are women's magazines?
Answer:
90
Step-by-step explanation:
for percentage
[tex]\frac{54}{60}[/tex]×100
= 0.9×100
=90
I need help ASAP!! Please giving brainliest PLEASE!!!!
Answer:
The answer will be 6 times
Step-by-step explanation:
I hope this helps!!
Guests at a picnic try to guess the number of candies in a jar. The distribution of guesses has a mean of 858585 candies and a standard deviation of 121212 candies.
Suppose the jar actually holds 105105105 candies, and we want to convert each guess to its error—that is, we'll subtract 105105105 from each guess to see how far above or how far below the guess was from the correct number.
Answer:
-20 12
Step-by-step explanation:
The new mean of candies = 20 and the standard deviation is 12.
Given that,
Guests at a picnic try to guess the number of candies in a jar.
Mean = 85, standard deviation = 12
the jar actually holds 105 candies,
Want to convert each guess to its error, that is, we'll subtract 105 from each guess.
The process in mathematics to operate and interpret the function to make the function simple or more understandable called simplifying and the process is called simplification.
Statistics is the study of mathematics that deals with relations between comprehensive data.
Since,
Mean = 85,
jar actually holds 105 candies
New mean = 105 - 85
= 20
Since,
When a certain value is subtracted from all the values standard deviation still remains the same.,so
Standard deviation = 12
Thus, the new mean of candies = 20, and the standard deviation is 12.
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Kimberly makes a conjecture that the sum of two odd integers is always an even integer. Which choice is the best proof of her conjecture?
Answer:
third choice : Let 2a + 1 be one odd number, and let 2b + 1 be the other odd number. (2a + 1) + (2b + 1) = 2a + 2b + 2 = 2(a + b + 1). Because 2(a + b + 1) is evenly divisible by 2, it is an even number.
You’re welcome ;)
Siena draws a map of her flower garden. She wants to plant roses 6 feet away from the marigolds and 5 feet away from the lavender. Where should Siena plant the roses?
(–2, 3)? or (–2, 4)? or (–3, 2)? or (3, –2)?
Answer:
The answer would be (3,-2)
Step-by-step explanation:
At the location of (3,-2), if you went upwards 6 units, you would be at the Marigolds. If you went to the left 5 units, you would be at the Lavender. Therefore, (3,-2) is the correct answer.
Write a system of equations to describe the situation. Then solve the system.
Be sure to define your variables
Rizzo has $1.50 less in his piggy bank than his sister Shonda. If Shonda had $9 more, she would have three times as much money as Rizzo. How much money do each of the children have in their banks?
Answer:
Shonda has ( x )dollars in her piggy bank.
Rizzo has ( x-1.50 )
if Shonda has $9 more than x; (x+9),would be equal to
3 times the dollars Rizzo has, or, 3(x-1.50). The two quantities are equal, we can solve for x.
x+9 = 3(x-1.50)
Dustribute the 3
x+9 = 3x - 4.50
Isolate the variable on the left and constants on the right of the equation by subtracting 3x and 9 from both sides.
x+9 = 3x - 4.50
-3x-9 = -3x - 9
-2x = - 13.50
Divide both sides by - 2
Shonda has; x = 6.75
Rizzo has; (6.75 - 1.50) = 5.25
6.75 + 9 = 3(6.75 - 1.50)
15.75 = 3(5.25) or 15.75.
Passes the check.
Shonda has $6.75 in her piggy bank and Rizzo has $5.25.
On a map, 1 cm = 5 km. The distance between the shopping mall and the movie theater measures 6.7 cm. What is the actual distance between the mall and movie theater?
Answer:
33.5 km
Step-by-step explanation:
If 1cm = 5km, then you multiply 6.7 by 5 to get distance, which would be 33.5 km.
(hope this helps :P)
Answer:
33.5 km
Step-by-step explanation:
1/5 = 6.7/x
cross multiply and solve
5 × 6.7 = 33.5
What is the exponent for the expression?
2x2=?
Answer:
2 sqaured
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
75% of students were boys. there 18 boys in the class wht is the total number of students
Answer:
the answer is 24.
Step-by-step explanation:
I WILL GIVE BRAINLIEST TO WHOEVER ANSWERS FIRST WITH WORK SHOWN!!!
Due to inflation there were two demand increases. After the second increase the price for a certain item became twice as big as the original. By what percent was the first increase, if the second increase was 25%?
Thrice a number decreased by 5 exceeds twice the number by a unit find the number
With steps please
The two angles have a combined measure of 90°.
(See photo)
Write and solve an equation to find the measure of angle x.
Enter the correct answers in the boxes.
How do you write the equation? I know the answer
Answer:
it's 46 if you add 46 whit 44 you get 90
hope that helps you
Answer:
46 is the answer.
Step-by-step explanation:
the equation is x+44=90
There are 3 boxes the 1st Box contains the letters MATH the 2nd Box contains the letters AND the 3rd Box contains the letters HISTORY every Box is chosen at random and then a letter is drawn out at random from the Box what is the probability that the outcome is the letter A
Answer:
2/14
Step-by-step explanation:
There are 14 letters in all of the boxes combined and only 2 of those letters are A.
A shipping box, in the shape of a cube, has a volume of 2,300 cubic inches. Calculate the length of the side of the shipping box to the nearest tenth
Answer:
The side length is approximately 13.2 inches
Step-by-step explanation:
Given
[tex]Volume = 2300in^3[/tex]
Shape: Cube
Required
Determine the side length
Represent each side with x.
So, we have:
[tex]Volume = x^3[/tex]
Substitute 2300 for Volume
[tex]2300 = x^3[/tex]
Take cube roots of both sides
[tex]\sqrt[3]{2300} = x[/tex]
[tex]x = \sqrt[3]{2300}[/tex]
[tex]x = 13.2\ in[/tex] -- approximated
