Answer:
It’s 36 by 78 tennis court
width = 36 ft.
length = 78 ft.
Step-by-step explanation:
2(w+2w+6)=228 feet
2w+4w+12=228
6w=228-12
6w=216
w=36
So, 2w+6=78
It’s 36 by 78 tennis court
width = 36 ft.
length = 78 ft.
The dimensions of the tennis court can be determined by solving the equation system: width (w) = 42 feet and length (l) = 96 feet.
To find the dimensions of the tennis court, we can set up a system of equations based on the given information:
Equation for the perimeter:
The perimeter of a rectangle is given by the formula:
P = 2(length + width).
In this case,
the perimeter is 228 feet, so the equation gives:228 = 2(l + w)
Equation relating length and width: It is stated that the width (w) is equal to the length (l), which can be expressed as:
w = l
To solve the system of equations:
Substitute the value of l from the second equation into the first equation:
[tex]228 = 2((2w + 6) + w)[/tex]
Simplifying the equation:
[tex]228 = 2(3w + 6)[/tex]
Divide by 2 on both sides
[tex]114 = 3w + 6[/tex]
Subtract by 6 on both sides
[tex]108 = 3w[/tex]
Divide by 3 on both sides
[tex]w = 36[/tex]
Substituting the value of w back into the second equation:
[tex]l = 36[/tex]
Therefore, the width of the tennis court is 36 feet, and the length is 96 feet.
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Please help me with this thanks
If x = 1, then 3*1 = 3 which when modded with 5, we get 3 as a remainder. In other words, 3/5 = 0 remainder 3. We don't use the quotient at all when it comes to modular arithmetic. All we care about is the remainder.
If x = 2, then 3*2 = 6 which leads to remainder 1 when we divide by 5. Therefore, 3x = 1 (mod 5) when x = 2.
If x = 3, then 3*3 = 9 = 4 (mod 5) because 9/5 = 1 remainder 4.
So 3x = 4 (mod 5) when x = 3.
The final answer is C) 3We don't need to check D since x = 3 is a solution and it's smaller than x = 4.
If you wanted to check x = 4, then 3*4 = 12 = 2 (mod 5) because 12/5 yields a remainder of 2.
Need done ASAP
After measuring the foot size of 15 of his biology classmates, Laquon finds the average value and claims that it is the
average foot size of all 1,200 students in his high school.
What is most likely a problem with Laquon's conclusion?
A) He should have found the mode instead of the average.
B) He should have used shoe size instead of measuring feet.
C) The amount of data he collected was inadequate.
D) The data he collected was measured incorrectly.
Answer: C. The amount of data collected was inadequate:
Step-by-step explanation: Interviewing 15 students out of 1,200 does not show an accurate result, as he should have interviewed more students. Also, just took the quiz.
Find the distance represented by 4.9 inches if 1 inch = 50 miles.
O A. 4.9 miles
B. 49 miles
C. 209 miles
OD. 245 miles
O E. none of these
Answer:
E. none of these
Step-by-step explanation:
4.9 inches = 7.73359e-5 miles
Find the midpoint of the segment with the following endpoints.
(4,2) and (7,6)
Answer:
The answer is
[tex]( \frac{11}{2} \: , \: 4)[/tex]Step-by-step explanation:
The midpoint M of two endpoints of a line segment can be found by using the formula
[tex]M = ( \frac{x1 + x2}{2} , \: \frac{y1 + y2}{2} )[/tex]
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
(4,2) and (7,6)
The midpoint is
[tex]M = ( \frac{4 + 7}{2} \: , \: \frac{2 + 6}{2} ) \\ = ( \frac{11}{2} \: , \: \frac{8}{2} )[/tex]
We have the final answer as
[tex]( \frac{11}{2} \: , \: 4)[/tex]
Hope this helps you
please help!!!! D:
(word problem grade 7-8)
Answer:
1
Step-by-step explanation:
To solve this, first, take 22 minutes and divide it by 60 minutes, which is the number of minutes in an hour. Then, add two to the value, and multiply it by six square meters per hour, which is the rate that David can paint the wall. From there, you get 14.2 square meters which he painted in 2 hours and 22 minutes. Divide 14.2 square meters by the length of 11 meters to get 1.290 meters. Since they asked you to round to the nearest meter, you get 1 meter.
Help ASAP Plzzzz i don't got a brain
Answer:
c
Step-by-step explanation:
djdjsiksfnjdkdkdke
Which line contains point S and U
Answer:
N
Step-by-step explanation:
n has both s and u
m has only u
p has only s
A triangle has sides of length 4 inches and 7.5 inches. Which of the
following CANNOT be the length of the third side?
F. 3.5 inches
G. 4.0 inches
H. 5.0 inches
J. 5.5 inches
K. 9.5 inches
The question is in the picture, please help.
Answer:
b c and f edit: also A
Step-by-step explanation:
just gotta find what is reflexive
Determine the standard form of the equation of the line that passes through (-2, 0) and (-8, 5).
5x + 6y = 10
5x - y = - 10
6x + 5y = - 10
d. 5x + y = -10
C.
b.
Please select the best answer from the choices provided
A
B
С
D
Answer:
5x + 6y = -10
Step-by-step explanation:
(-2, 0) and (-8, 5)
m = (y₂ - y₁) / (x₂ - x₁)
m = (5 - 0) / (-8 -(-2)
m = 5 / (-8+2)
m = -5/6
y = mx + b
(-8, 5)
5 = -5/6(-8) + b
5 = 40/6 + b
b = 5 - 40/6
b = -5/3
y = mx + b
y = -5/6x - 5/3 *6
6y = -5x -5(2)
6y = -5x - 10
5x + 6y = -10
If fx = 3x over 5 +3 which of the following is the inverse
Answer:
f^(-1)(x) = -3x/(3x-3)
Step-by-step explanation:
1) replace f(x) by y
● y = 3x/(5x+3)
2) exchange x and y
● y = 3x/(5x+3)
● x = 3y / (3y +3)
3) solve for y
● x = 3y / (3y +3)
● x (3y +3) = 3y
● 3xy + 3x = 3y
● 3xy - 3y = -3x
● y (3x - 3) = -3x
● y = -3x /(3x-3)
4) replace y with f^(-1)(x)
● y = -3x/(3x-3)
● f^(-1)(x) = -3x/(3x-3)
Tallahassee, FL, has a population of 483,493. New York, NY, has 345,876 more people than Tallahassee
What is the population of new york?
HELP ASAP Write an equation for a line that satisfies the given conditions which are through (9,5); slope 0
Answer:5=0+9
Step-by-step explanation:
how can you find the value of the expression -5 + 12 + 10 - 7
Answer:
10
Step-by-step explanation:
-12+22
10
Answer:
10
Step-by-step explanation:
The dimensions of various-sized mirrors are created using the expression 0.5x – 2 for the width and 2x + 2 for the length. The function A(x) = x2 – 3x – 4 represents the area of the mirrors. The maximum length of the mirrors is 52 centimeters.
How do the mathematical domain and reasonable domain compare?
a.) mathematical: {x E R} reasonable: {x > 0}
b.) mathematical: {x E R} reasonable: {x > 4}
c.) mathematical: {x > 1.5} reasonable: {x > 0}
d.) mathematical: {x > 1.5} reasonable: {x > 4}
Answer:
b all real numbers x>4
Step-by-step explanation:
edg answer
Use the drop-downs to identify the domain and range of the following relation.
{(4, -7), (0, 6), (5,-3), (5, 2)}
What is the domain of this relation?
What is the range of this relation?
Answer:
Domain ( -4,0, 5) Range ( -7, -3, 2, 6)
Step-by-step explanation:
The domain and range of the given relation {(4, -7), (0, 6), (5,-3), (5, 2)}
is:
Domain = { 4, 0, 5, 5 }
Range = { -7, 6, -3, 2 }
Given,
{(4, -7), (0, 6), (5,-3), (5, 2)}
We need to find what is the domain and range of this relation.
What are the domain and range of a function?A function has an input and an output.
Example: f(x) = x + 4
Now,
x = 1, 2, 3
f(1) = 1 + 4 = 5
f(2) = 2 + 4 = 6
f(3) = 3 + 4 = 7
Here,
Domain = 1, 2, 3
Range = f(1), f(2), f(3) = 5, 6, 7
We can also write it as { (1,5), (2,6), (3,7)}
Find the relation.
(4, -7)
Here,
domain = 4 and range = -7
(0, 6)
domain = 0 and range = 6
(5,-3)
domain = 5 and range = -3
(5, 2)
domain = 5 and range = 2
Find the domain and range of {(4, -7), (0, 6), (5,-3), (5, 2)}.
Domain = { 4, 0, 5, 5 }
Range = { -7, 6, -3, 2 }
Thus the domain and range of the given relation {(4, -7), (0, 6), (5,-3), (5, 2)}
is:
Domain = { 4, 0, 5, 5 }
Range = { -7, 6, -3, 2 }
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During a huge snowstorm in the White Mountains last year, it snowed 300 centimeters in one week. How much did it snow in meters?
Answer:
3 Meters
Step-by-step explanation:
100 centimeters is equal to 1 meter
300/100=3
or
300 centimeters divided by 100 centimeters (for ever meter) is 3
3/5 + -1/3 =
help qwq
Answer:
the answer is
3/5-1/3=4/15
Solve for x. 2(-5x-10)=-60
Answer:
x=4
Step-by-step explanation:
Find the area of a right triangle with a base length of 30 units and a height of 24 units
Answer:
360
Step-by-step explanation:
Area= 1/2 ( 30)(24)
Area = 360
I need to find the length of MK.
Answer:
Here,
JM=MK
so,
7x+5 = 8x
[tex]7x + 5 = 8x \\ ⇒ 5 = 8x - 7x \\ ⇒5 = x[/tex]
. ° . JM = 7x+5 = 7×5+5 = 40
. ° . MK = 8x = 8×5 = 40
Hence,
MK = 40what is 23/11 in decimal form with an explanation
Answer
2.0909090909090909090909090909090909090...
Step-by-step explanation
Georgina bought 6 shirts that cost
the same amount of money. She
had a $15 off coupon for the
shirts. Using the coupon,
Georgina spent $39. Find the cost
of each shirt before the coupon
was applied. (Don't forget your
units!)
Answer:
54$
Step-by-step explanation:
1. 39+15 = 54
Please help it’s due tomorrow and I really don’t want to fail please
If the triangles are similar, that means their side to side ratios will be the same.
For example, we are given the side lengths 6 and 9 to corresponding sides.
Meaning that the side to side ratios are 6:9, or 2:3.
Using this, we can find the missing side length value.
58:x = 2:3
[tex]\frac{58}{x}=\frac{2}{3}[/tex]
[tex]2x=174[/tex]
[tex]x=87[/tex]
The missing side length is 87.
Hope this helps.
頑張って!
A box contains four tiles 1,4,5 and 8 as shown. Kelly chooses one time places it back in the box then chooses a second tile. What is the probability that the sum of the two chosen tiles is greater than 7?
Answer:
the answer to that question is 11/16
Using the probability principle, the probability of picking two tiles which sums above 7 is 11/16.
Recall :
Probability = required outcome / Total possible outcomesThe only way to choose two tiles which sums up to a number greater than 7 would be :
(1,8), (8, 1), (4, 5), (5,4), (4, 8), (8,4), (5,8), (8,5), {4, 4}, {5, 5}, {8, 8}Since selection is performed with replacement ;
Total possible outcome = sample size = 4² = 16The probability of choosing two tiles whose sum is greater than 7 ;
11/16 =Hence, probability of choosing tiles with a sum greater than 7 is 11/16
Therefore, the probability of picking two tiles which sums above 7 is 11/16.
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f(x)=2x-5 find the inverse
Answer:
1/2x+5/2
Step-by-step explanation:
1. Change f(x) to y
y = 2x – 5
2. Switch x and y.
x = 2y – 5
3. Solve for y by adding 5 to each side and then dividing each
side by 2.
x+5=2y
4. Change y back to f^-1(x)... in other words the inverse
f^-1(x)=(x+5)/2
= 1/2x+5/2
Step-by-step explanation:
y=f-1(x)=1/2(x+5)
explanation: write y equals 2x - 5 and now interchange X and Y it becomes x equals 2y - 5
now solve for y equals F -1 (x) equals 1/2(x + 5)
g(x)= (x + 5) / (2)
is the inverse function of F (x)= 2x - 5
Nick walked 3/4of a mie in 12
minutes. How long would it take
him to walk three mies at this
pace?
Answer:48
Step-by-step explanation:
Allison is rolling her hula hoop on the playground. The radius of her hula hoop is 35 cm What is the distance the hula hoop rolls in 4 full rotations? Round your answer to the nearest cm
Answer:
58 i think
Step-by-step explanation:
evaluate 1/2 power 3
Step-by-step explanation:
[tex]( \frac{1}{2}) {}^{3} [/tex]
[tex] \frac{ {1}^{3} }{2 {}^{3} }{} [/tex]
[tex] \frac{1}{8} [/tex]
what type of transformation does shape A undergo to form shape B?
A. a reflection across the x-axis
B. a translation 3 units right and 1 unit down
C. a 90° counter clockwise rotation
D. a 90° clockwise rotation
a 90° clockwise rotation
Answer:it’s A 90 clockwise rotation
Step-by-step explanation: