Answer:
The width and the length of the pool are 12 ft and 24 ft respectively.
Step-by-step explanation:
The length (L) of the rectangular swimming pool is twice its wide (W):
[tex] L_{1} = 2W_{1} [/tex]
Also, the area of the walkway of 2 feet wide is 448:
[tex] W_{2} = 2 ft [/tex]
[tex] A_{T} = W_{2}*L_{2} = 448 ft^{2} [/tex]
Where 1 is for the swimming pool (lower rectangle) and 2 is for the walkway more the pool (bigger rectangle).
The total area is related to the pool area and the walkway area as follows:
[tex] A_{T} = A_{1} + A_{w} [/tex] (1)
The area of the pool is given by:
[tex] A_{1} = L_{1}*W_{1} [/tex]
[tex] A_{1} = (2W_{1})*W_{1} = 2W_{1}^{2} [/tex] (2)
And the area of the walkway is:
[tex] A_{w} = 2(L_{2}*2 + W_{1}*2) = 4L_{2} + 4W_{1} [/tex] (3)
Where the length of the bigger rectangle is related to the lower rectangle as follows:
[tex] L_{2} = 4 + L_{1} = 4 + 2W_{1} [/tex] (4)
By entering equations (4), (3), and (2) into equation (1) we have:
[tex] A_{T} = A_{1} + A_{w} [/tex]
[tex]A_{T} = 2W_{1}^{2} + 4L_{2} + 4W_{1}[/tex]
[tex]448 = 2W_{1}^{2} + 4(4 + 2W_{1}) + 4W_{1}[/tex]
[tex] 224 = W_{1}^{2} + 8 + 4W_{1} + 2W_{1} [/tex]
[tex] 224 = W_{1}^{2} + 8 + 6W_{1} [/tex]
By solving the above quadratic equation we have:
W₁ = 12 ft
Hence, the width of the pool is 12 feet, and the length is:
[tex] L_{1} = 2W_{1} = 2*12 ft = 24 ft [/tex]
Therefore, the width and the length of the pool are 12 ft and 24 ft respectively.
I hope it helps you!
Salma is going to build a large wooden box. The box will be in the shape of a rectangular prism.... check photos,
40 points.
Answer:
162
Step-by-step explanation:
7x3 is 21 21x6 is 126
that’s the area
we don’t need it lol
7x3 is 21
7x6 is 42
3x 6 is 18
all of these together plus 2 make 162
how could you represent the following scenarios of the graph ? Silvia has $5.50 in her piggy bank and earns $2
per chore she does at her house.
Answer:
We know that Silvia has $5.50 in her piggy bank, and she earns $2 per chore she does at her house.
So if she does x chores at her house, she will have:
y = f(x) = $2*x + $5.50
where y = her savings.
This is a linear relationship, to graph this, we need to evaluate the function in two different values of x so we can get two ordered pairs.
Then we graph the ordered pairs in the coordinate axis, and then we draw a line that passes through both points.
We can use the points given by x = 0.
y = f(0) = $2*0 + $5.50 = $5.50
Then we have the point (0, $5.50)
and if we use x = 1 we get:
y = f(1) = $2*1 + $5.50 = $7.50
Then we have the point (1, $7.50)
Now we just need to graph the points (0, $5.50) and (1, $7.50), and draw a line that passes through them.
The graph is shown below.
At a recent breakfast, four friends paid for their own drinks and shared the cost of a bag of donuts. Joe's drink was $1.75. He paid a total of $3.20 for breakfast. How much did the bag of donuts cost?
Answer:
$5.80
Step-by-step explanation:
To answer, we must first subtract the toal cost Joe paid by the amount he paid for his drink, because ha paid for his drink separately. so:
3.20 - 1.75 = 1.45
And because there were a total of 4 friends, we mulitply the answer by 4:
1.45 * 4 = 5.8
So, the bag of donuts costed $5.80
Hope this helps :)
Anyone can help ? I have no clue what the answer maybe
help I will give brainiest it will mean alot. find the scale factor
Answer:
Step-by-step explanation:
16:1
Write an inequality to represent a number is at most two".
Answer:
Step-by-step explanation:
X<= 2
Which is x is less than or equal to 2.
Answer:
[tex]n\leq 2[/tex]
Step-by-step explanation:
find the distance round to the nearest tenth (-8, -6) (-3,-2)
Answer:
[tex]\displaystyle d \approx 6.4[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightAlgebra I
Coordinates (x, y)Algebra II
Distance Formula: [tex]\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Step-by-step explanation:
Step 1: Define
Point (-8, -6)
Point (-3, -2)
Step 2: Find distance d
Simply plug in the 2 coordinates into the distance formula to find distance d
Substitute in points [Distance Formula]: [tex]\displaystyle d = \sqrt{(-3+8)^2+(-2+6)^2}[/tex][√Radical] (Parenthesis) Add: [tex]\displaystyle d = \sqrt{(5)^2+(4)^2}[/tex][√Radical] Evaluate exponents: [tex]\displaystyle d = \sqrt{25+16}[/tex][√Radical] Add: [tex]\displaystyle d = \sqrt{41}[/tex][√Radical] Evaluate: [tex]\displaystyle d = 6.40312[/tex]Round: [tex]\displaystyle d \approx 6.4[/tex]Answer:
6.4
Step-by-step explanation:
d=√((−3−(−8))^2+(−2−(−6))^2)
d=√((5)^2+(4)^2)
d=√(25+16)
d=√(41)
d=6.403124
d=6.4
On a scale drawing 1cm represents 4 m.What length on the drawing would be used to represent 6.5 m
Answer:
1.6cm
Step-by-step explanation:
1cm=4m
=6.5m
6.5÷4=1.625 round it off to the nearest tenths=1.6
A pyramid has a surface area of 539 ft.² what is the surface area of a similar pyramid that is smaller by a scale Factor of 1/7
Answer:
77 ft²
Step-by-step explanation:
Given that:
Surface Area of larger pyramid = 539 ft²
Scale factor of the smaller pyramid = 1/7
Tbe surface area of the smaller pyramid will be :
Scale factor * surface area
1/7 * 539ft²
= 539 ft² / 7
= 77 ft²
Help Plz!!
What system is Y = 2x + 1 and Y = -2x + 5?
A. Consistent system
B. Dependent system
Answer:
consistent
Step-by-step explanation:
Plz tell me the answer
Hi, could someone help me with these two questions please? Thank you!
Which one is the correct answer please please.
Answer:
option 1
plz mark as brainiest
Step-by-step explanation:
Answer:
1/2 (option 1)
Step-by-step explanation:
the equation is in y=mx+b form (slope-intercept form)
y: y-axis
m: slope
x: variable
b: y-intercept
If triangle LMN is similar to triangle XYZ, then side LN corresponds to side
Answer:
The side it corresponds to is XZ
I will give you branilest! This is due and if I fail this I will have an F.
While in New York City, is it a better deal for a group of friends to take a taxi or the subway to get from the Empire State Building to the Metropolitan Museum of Art? Explain your reasoning.
Here is some information about New York City and its transportation system.
Information about NYC taxi cabs:
As of 2020, taxi cabs charge an initial fee of $2.50. Then there is an additional charge of $0.50 per 1/5 mile if the car is traveling about 12 miles per hour. In slower or stopped traffic, the additional fee is $0.50 per minute.
Information about the NYC subways:
As of 2020, a single subway ride is 2.75. However, multiple day passes can be purchased at a discount rate.
Information about the NYC tourist attractions:
The distance between the Empire State Building and the Metropolitan Museum of Art varies between 2.5 miles to 3.2 miles depending on your route.
Answer:
It would definitely be cheaper by Subway..
Step-by-step explanation:
Subway is 2.75 per person and taxi (given all variables) could be close to $20...however, the Subway takes much longer but is still the best bet. Especially if traffic is an issue
Line 6 subway•24m
US$3
Taxi•5m
US$16-US$20
Tell whether the equation has one, zero, or infinitely many solutions.9(x − 3) + 15 = 9x − 11.
Answer:
Zero solutions; there are no variables and thus there are no solutions
Step-by-step explanation:
We start out with the equation 9 (x - 3) + 15 = 9x - 11
Which simplifies to 9x - 27 + 15 = 9x - 11
The 9x terms cancel each other out, and we're left with 15 - 27 = -11
And we end up with -12 = -11, which is not true.
This tells us that the equation has zero solutions, because no matter what value we substitute for x, the equation will not be true.
Answer:
No solution
Step-by-step explanation:
9(x-3)+15= 9x-11
9x-27+15=9x-11
-15 on both sides
9x-27=9x-26
add 26 on both sides
9x -1=9x
add 1 on both sides
9x=9x+1
divide 9 on both sides
x=x+1/9
No solution
2/5 + 1/3 = ??
It's fractions btw
Answer: 11/15
------------------------------
Answer:
sorry sweetie no
Step-by-step explanation:
What is 193 + y ≥ 201.
Answer:
y≥ 8
Step-by-step explanation:
[tex]\frac{2y+1}{3}[/tex]=[tex]\frac{y-2}{4}[/tex]
Which of the following functions represents an arithmetic sequence?
Of(n) 3"-4"
Of(n) 3-4
O fm) 374
O fin) - 34
Answer:
Step-by-step explanation:
The O is not part of the function.
f(n) = 3n-4 is an arithmetic sequence. The first term is -1 and the common difference is 3.
The width of a rectangular video game cartridge is 2 in. more than the length. The area is 16 in?.
Find the dimensions of the cartridge.
Equation:
Solution:
PLEASE HELP ASAP!!
When a ball is dropped, the function () = 4(0.6)x models the ball’s height in feet after each bounce, where x is the bounce number. To the nearest hundredth, what is the height after the third bounce?
Answer:
7.2 feet
Step-by-step explanation:
plug in x = 3 since we are looking for the height after the 3rd bounce
4(0.6)(3)
4(1.8)
7.2
The height after the third bounce is 0.86 feet.
What is a function?A function is a relationship between inputs where each input is related to exactly one output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
f(x) = 4 x [tex]0.6^x[/tex] models the ball’s height in feet after each bounce.
Where x is the bounce number.
Now,
Substituting x = 3,
f(x) = 4 x [tex]0.6^x[/tex]
f(x) = 4 x [tex]0.6^3[/tex]
f(x) = 4 x 0.6 x 0.6 x 0.6
f(x) = 0.864
f(x) = 0.86
The height after the third bounce is 0.86 feet.
Learn more about functions here:
https://brainly.com/question/28533782
#SPJ6
is -11/8 greater or less than -1.37? HELP
Answer: less than plz mark as brainliest
Step-by-step explanation:
Amanda bought tickets for a concert for $218. Jamie bought tickets to the same concert but paid 14% less than Amanda. What were the price of Jamie's tickets?
Answer:
Jamie's tickets = $187.48
Step-by-step explanation:
The amount for which Amanda bought tickets = $218
Jamie bought tickets to the same concert but paid 14% less than Amanda.
Jamie's tickets = [tex]218-14\%\ of\ 218[/tex]
We can solve it as follows :
[tex]218-14\%\ of\ 218=218-\dfrac{14}{100}\times 218\\\\=218-30.52\\\\=\$187.48[/tex]
So, the price of Jamie's tickets is $187.48.
26 sit ups in 2 minutes . find the unit rate and how many in 5 minutes
Answer:
Unit rate: 13 sit ups per minute
65 sit ups can be done in 5 minutes
Step-by-step explanation:
Find the unit rate by dividing 26 by 2
26/2
= 13
This means 13 sit ups can be done in 1 minute.
To find how many can be done in 5 minutes, multiply 13 by 5.
13(5)
= 65
So, the unit rate is 13 sit ups per minute, and 65 sit ups can be done in 5 minutes.
Please help, Thank you.
Answer:
It's all about the ratios of corresponding sides.
I'll do #6 for you.
x=13.33
Step-by-step explanation:
4/x=(4+3)/(x+=10) this is the ratio
4(x+10)=(3+4)(x)
4x+40=7x
4x-4x+40=7x-4x
3x=40
x=13.33
Freddy’s savings account went from $520 to $321 after he purchased a new bike. What was the percent decrease?
Step-by-step explanation:
The bike cost $199 to get $199 you do a number line then label 520 then at the end label 321 so then you do -20 then -100 then -50 then -20 then -9. so now you add them up 20+100+50+20+9 which equals =199
so bike cost $199
then 520%×199= 1034.8
or 520%×321=1669.2
so the percentage is 1669.2 or 1034.8 probably 1669.2 but they bot count.
In 2011, a professional climber scaled the outside of the Burj Khalifa, making it all the way to 828 meters (the highest point on which a person can stand) in 6 hours.
Answer:
276 meters in the first 2 hours
Step-by-step explanation:
Given that,
Professional climbers climb 828 meters in 6 hours.
Let us assume we need to find how far did they climb in the first 2 hours.
6 hours = 828 m
⇒ 1 hour = 138 m
So, in 2 hours,
2 hours = 138 × 2 m
= 276 m
So, the climber climb 276 meters in the first 2 hours
*HELP ASAP*
The total length of two ships is 2341 feet. The difference in their lengths is 13 feet.
a. Find the length of each ship.
b. If a football field has a length of 100 yards, determine the length of the longer ship in terms of football fields.
Answer:
The smaller ship is 1,164 ft
The larger ship is 1,177 ft
The larger ship is 3.923 football fields
Step-by-step explanation:
A. Find the length of each ship
x + x + 13 = 2,341 ft
2x + 13 = 2,341 ft
2x = 2,328 ft
x = 2,328/2
x = 1,164 ft ( This is the length of the smaller ship)
1,164 + 13 = 1,177 ft (length of the larger ship)
B)If a football field has a length of 100 yards, determine the length of the longer ship in terms of football fields.
1,177/3ft= 392.3 yards
392.3 yards /100 yards = 3.923 football fields
What is the equation of a circle with a radius of 7 and centered at point (3, -4)? please help fast!
Answer:
Vertex (3, –4) r = 7
Step-by-step explanation:
[tex](x -3)^{2} + (y+4)^{2} = 49[/tex]