The camp athletic director wants to arrange kickball games for high school students and middle school students. Because of the ages of the campers, the high school kickball field is larger than the middle school field. The length of the square base path of the high school field is represented by the expression 2x−3 and the length of the middle school base path is represented by the expression x−8.
What is the area of the middle school field if its side measures x−8 feet?
What is the area of the high school field if its side measures 2x−3 feet?
Answers
Answer:
Step-by-step explanation:
The area of the high school field’s base path is (4x^2 -12x + 9) ft^2
The area of the middle school field’s base path is ( x^2 -16x + 64) ft^2
The difference in size between the two is
(3x^2 +4x - 55) ft^2
Step-by-step explanation:
Firstly, we are to calculate the area of the high school field’s base path
Mathematically, the area of a square is L^2
where L is the length of the side of the square. The area of the high school field base path is thus;
(2x-3) * (2x-3) = 2x(2x-3) -3(2x-3) = 4x^2 -6x -6x + 9 = (4x^2 -12x + 9) ft^2
The area of the middle school field’s base path can be calculated in a similar fashion
That would be (x-8) * (x-8) = x(x-8)-8(x-8) = x^2 -8x -8x + 64 =( x^2 -16x + 64) ft^2
The difference in size between this two will be;
(4x^2 -12x + 9) - ( x^2 -16x + 64) = 4x^2-x^2-12x+16x+9-64 = (3x^2 +4x - 55) ft^2
Related Questions
Mercedes can download new songs for $1.39 each. Write an equation to show how many songs she can download for $15.00. NEEED HELP PLZ :(
A 15x = 1.39
B 15 + x = 1.39
C 1.39x = 15
D 1.39 + x = 15
Answers
Answer: C. 1.39x=15
Step-by-step explanation:
each song is worth 1.39 dollars
If there are x songs, the total value would be 1.39x
1.39x=15
Suppose you want to accumulate $25,000 as down payment on a house and the best you can do is to put aside $200 a month. If you deposit this amount at the beginning of each month in an account that credits 0.75% interest monthly, how long will it take you to attain your goal?
Answers
Answer:
It will take 88.2 months to accumulate the amount
Step-by-step explanation:
Given;
Future value of money, FV = $25,000
investment per compound period, P = $200
interest rate, i = 0.75% x 12 = 9%
The number of monthly installments required to amount to FV is given by;
[tex]n = \frac{ln(FVi +cp)-ln(cp)}{ln(c+i)-ln(c)}\\\\ n = \frac{ln(25000*0.09 +200*12)-ln(200*12)}{ln(12+0.09)-ln(12)}\\\\n = \frac{8.4446 -7.7832}{2.4924-2.4849}\\\\n = 88.2 \ months[/tex]
Therefore, it will take 88.2 months to accumulate the amount.
HeoeiejJSJJSJSJSKSKWKWKW
Answers
Answer:
0.27 or B (✿◠‿◠)
Solve for x : x/14-4=3
Answers
Answer:
98
Step-by-step explanation:
3+4 then times 14
Jim brought a pizza and decided to share it with four of his friends his portion was twice as much as any of the others who each received a piece that was the same size. what fraction of the pizza did Jim have
Answers
Answer:
Jim had 1/3 of of the pizza
Step-by-step explanation:
He shared a pizza with four friends, each friend had a Piece that was the same size as the other pieces, Jim had TWICE as much pizza as his friends so He had 2 pieces since he has 4 friends and each has 1 piece, so 4 + 2 = 6
2/6 simplify if, 1/3.
Have a nice day :)
Jose's school is selling tickets to a choral performance. On the first day of ticket sales
the school sold 3 adult tickets and 7 child tickets for a total of $132. The school took
in $141 on the second day by selling 4 adult tickets and 7 child tickets. What is the
price each of one adult ticket and one child ticket?
Answers
Step-by-step explanation:
let x be the price of the adult ticket and y the price of child ticket
so
3x+7y=132
4x+7y=141
from the first equation 7y=132-3x
lets replaxe this from the second equation
4x+(132-3x)=141
4x-3x=141-132
x=9
so knowing that 7y=132-3x
7y=132-3*9
7y=105
y=105/7=15
so finaly the adult ticket cost 9 dollars and child ticket cost 15 dollars
the square root of 81
Answers
Answer:9
Step-by-step explanation:
PLEASE HELP ITS TIMED
The inside of an oven is set to rise to a temperature of 298F . So far it has risen 76% of this amount.
Which would be the best way to estimate the number of degrees Fahrenheit the inside of the oven has risen so far?
Find 70% of 200.
Find 80% of 300.
Find 80% of 200.
Find 70% of 300.
Answers
Answer:
Find 70% of 300
Step-by-step explanation:
I calculated the different percentages, and 70% of 300 was the one that came closest to 76% of 200.
Convert 9340 m to km
Answers
Answer:
9.34 km
Step-by-step explanation:
m to km = m ÷ 10009340 ÷ 1000 = 9.34I hope this helps!
Answer:
[tex]9. 34[/tex]
Step-by-step explanation:
[tex]M to KM \\1m = 0.001 KM\\9340M = 9.34 KM\\\\Hope \\ this \\helps[/tex]
HELP QUICK ILL GIVE THE BRAINLIEST!
Find three consecutive even integers for which -4 times the sum of the first and third integers is 192. Write and solve an equation.
Answers
Answer:
192x-4= -768
Step-by-step explanation:
what is the next number on the sequence 6,13,20,27?
Answers
Answer:
34
Step-by-step explanation: goes up in 7's
please help me, ASAP
Answers
Answer:
The answer is A
Step-by-step explanation:
All of the other relations shows have duplicate numbers of x. For example, relation B has two 3s and D has two 20s. If a relation has a duplicate x, it is not a function.
The figure shows a line graph and two shaded triangles that are similar:
Which statement about the slope of the line is true? (1 point)
It is 7 throughout the line.
It is fraction 1 over 7 throughout the line.
The slope from point O to point A is fraction 1 over 7 times the slope of the line from point A to point B.
The slope from point O to point A is seven times the slope of the line from point A to point B.
Answers
True:
3rd One
4th One
False: All of the others.
It's a straight line, so it is going to have straight qualities and straight inequalities throughout the graph.
how do i solve equations with fractions in them?
Answers
write an equation given a slope of 1/2 that goes through the ordered pair (2,4)
Answers
Answer:
y= 1/2x +3
Step-by-step explanation:
Please help! I'm very behind on work and just don't have the time to catch up without costing the grade of another class. Thank you so much!
Answers
Answer:
5. alternate exterior, p
6. consecutive interior, r
7. consecutive exterior, s
8. alternate interior, q
9. corresponding, s
Step-by-step explanation:
A train travels 170 miles in 4 hours . How far will the train travel in 6 hours , if it travels at the same speed ? Answer Choices : (A) 240 mi , (B) 245 mi , (C ) 252 mi , (D) 255 .
Answers
Answer:
(170/4)x61= 255
Step-by-step explanation:
x/20=2/8
x=__
pls explain the steps
Answers
Answer:
Today: Thursday, 15 October 2020
Hour: 04.09 WIB (in Indonesian)
____________________________
x/20 = 2/8
20 × 2 = 8 × x
40 = 8x
x = 40/8
x = 5
Kaitlin runs 6 miles in 50 minutes at the same rate how many miles would she run in 35 minutes
Answers
Answer:
4.2 miles
Step-by-step explanation:
6/50=.12
.12*35=4.2 miles
Write the standard form of the equation y-3=-2/3(x+5)
Answers
Answer:
In linear standard form, 10x-15y=29
Step-by-step explanation:
The solution is y = ( -2/3 )x - 1/3
The standard form of the equation y-3=-2/3(x+5) is given by the equation A
where y = ( -2/3 )x - 1/3
What is an Equation of a line?
The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
So , the standard form of the equation of line is given by equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
Now ,
y - 3 = -2 / 3 ( x + 5 )
Multiply by 3 on both sides of the equation , we get
3y - 9 = -2 ( x + 5 )
On simplifying the equation , we get
3y - 9 = -2x - 10
Adding 9 on both sides of the equation , we get
3y = -2x - 1
Divide by 3 on both sides of the equation , we get
y = ( -2/3 )x - 1/3
The equation of line is y = ( -2/3 )x - 1/3 where the slope of the line is -2/3 and the y intercept of line is -1/3
Hence , The standard form of the equation y-3=-2/3(x+5) is given by the equation A where y = ( -2/3 )x - 1/3
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how do I find the answer to 47+ (7 + 6) × 3
Answers
Answer:
86
Step-by-step explanation:
1) 7+6= 13 2) 13×3 = 39 3) 47+39= 86
help show work
assig 8
Answers
Answer: see below
Step-by-step explanation:
8) 3x ≥ 24
÷3 ÷3
x ≥ 8
Graph: ·--------→
8
Interval Notation: [8, ∞)
If 1 gallon of orange juice cost 6.25. How much does it cost for 128 ounces of oj?
Answers
Answer:
$6.25
step-by-step explanation:
a gallon of oj coat 6.25
there are 128 ounces in a gallon
so 6.25 for 128 ounces is just a gallon
so 128=1 gallon. so its just $6.25
The numbers -12, -7, -2, 3 follow a pattern. What are the next three numbers in this pattern?
Answers
Answer:
8,13
Step-by-step explanation:
The pattern in +5 so 3+5=8, and 8+5=13
Answer:
8, 13, 18
Step-by-step explanation:
24 for 4 quarts
find the rate
Answers
Answer:
UNIT CONVERSION FACTOR. Length ... 1 gallon = 4 quarts or or or or ... 24 hr. 1 week. 7 days. 7 days. 1 week. 8 fl oz. 1 cup. 1 pt. 2 cups. 2 pts. 1 qt. 1 cup.
Quarts. Gallons. 5 Gallons. 24 oz. Trigger Spray. Bottle. To make a quart of solution use ... concentrate. Dilution. Ratio. Add this amount of concentrate. 1:4. 6.5 oz. 1:4 ... When mixing cleaners, you may find it helpful to fill your container with the.
Step-by-step explanation:
2x+y=-5 slope intercept form please
Answers
Answer:
y=-2x+5
Step-by-step explanation:
Answer: y= -2x - 5
Step-by-step explanation:
2x + y = - 5 To convert it into slope-intercept form subtract 2x from both sides
-2x -2x
y= -2x - 5
9 - 6(x+1) = 2(x-4) + 27
Answers
1) Use the distributive property to multiply −6 by x + 1
9−6x −6 = 2(x−4) +27
2) Subtract 6 from 9 to get 3
3−6x =2(x−4) +27
3) Use the distributive property to multiply 2 by x−4
3−6x =2x−8 +27
4) Add −8 and 27 to get 19
3−6x = 2x +19
5) Subtract 2x from both sides
3−6x −2x = 19
6) Combine −6x and −2x to get −8x
3−8x = 19
7) Subtract 3 from both sides
−8x= 19−3
8) Subtract 3 from 19 to get 16
−8x = 16
9) Divide both sides by −8
x= 16/-8
10) Divide 16 by −8 to get −2
x=−2
Hope this helps :D
please help!!!!!! I will mark brainliest!!!
Answers
Answer:
second dot choice thing
Answer:
The second dot that is the answer.
Step-by-step explanation:
hope this helps.
The side with intermediate length is:
1. OD
2. DE
3 EO
Answers
Answer:
I don't know exactly, I think it is EO, but I could be wrong.
Step-by-step explanation:
The side with intermediate length is OE .
What is the relationship between length of side of triangle and their interior angle ?Relationship of sides to interior angles in a triangle
In any triangle:
The shortest side is always opposite the smallest interior angleThe longest side is always opposite the largest interior angleAccording to the question
Side opposite to smallest ∠20° = OD
Side opposite to largest ∠110° = DE
Side opposite to intermediate ∠50° = OE
Now,
according to the relationship between length of side of triangle and their interior angle
The smallest side is opposite the smallest angle, and the longest is opposite the largest angle, then it follows that since a triangle only has three sides, the midsize side is opposite the midsize angle.
Therefore,
OD = smallest side
DE = Largest side
OE = intermediate side
Hence, The side with intermediate length is OE .
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PLEASEEEEE HELP
f(x) = 2x^2+ 6 when f (4)