Answer:
Step-by-step explanation:
Find the digram attached.
Perimeter of the track = perimeter of the rectangle + perimeter of the 2semicircles
Perimter of a rectangle = 2(x+r) where:
x is the length
2r is the width of the rectangle = diameter of the semicircle
Perimeter of semicircle = 2πr/2 = πr
Perimeter of 2semicirle = 2πr
Perimeter of the track = 2(x+2r) + 2πr
r is the radius if the semicircle
Expand
Perimeter of the track = 2x+4r + 2πr
Perimeter of the track = 2(x+2r+πr)
b) Given P = 2(x+2r+πr), we are to make x the subject of the formula.
P = 2x+4r+2πr
P-4r-2πr = 2x
Divide both sides by 2.
(P-4r-2πr)/2 = 2x
x = (P-4r-2πr)/2
c) Given
P = 600fr
r = 50ft
x = (600-4(50)-2π(50))/2
x = (600-200-100(3.14))/2
x = 400-314/2
x = 86/2
x = 43ft
Hence the value of x to nearest foot is 43ft
Please help with these questions!!
Answer: 308
Step-by-step explanation: Divide 70 by 5 which is 14 and then 14 times 22 is 308
Create your own literal equation that contains distribution, addition/subtraetion, division, and at least 4 variables. Then chose a variable and solve your equation for it.
Answer:A combination of variables, numbers, and at least one operation.
Example: x+4
Step-by-step explanation:
PLS HELP ME I REALLY NEED HELP I DO NOT FEEL GOOD AND I HAVE TO MCUH WORK...pls? (7th grade work)
Answer:
see below
Step-by-step explanation:
65 - 32 = 13
13 divide by 65 = 0.20
0.20 x 100% = 20%
so the percentage drop is 20%
therefore, Marcus is correct.
How many meters are equivalent to 3 kolomiters
Answer:
3000 meters
Step-by-step explanation:
1 kilometer = 1000 meters
3 kilometers = 3(1000 meters)
3 kilometers = 3000 meters
Hope this helps!!!
Please help if you can
Answer:
the first choose
Step-by-step explanation:
becouse m(ABC) =m(CDE)m(ACB) = m(ECD) Vertical obejet angleso n=m(CED)8x = 10x + 20
Could you guys explain as well?
Answer:
x= -10
Step-by-step explanation:
-8x+10x+20=0
2x+20=0
2x=0-20
2x=-20
x=-20/2
x= -10
Answer:
x = -10
Step-by-step explanation:
8x (-10x)= 10x +20 (-10x)
subtract 10x from both sides of the equation
-2x/-2 = 20/-2
divide both sides by -2
x = -10
20% turned into a whole number
Answer:
0.2
Step-by-step explanation:
20/100= 2/10
2/10= 0.2
i need to know the answer to this, im not sure if i know it.
Answer:
Put a Greater than symbol >
Step-by-step explanation: That question is showing absolute value which is basically the amount it takes to get there from zero.
-5 with absolute value becomes a regular 5
Answer:
its >
Step-by-step explanation:
Flight Distances
Chicago O'Hare is a busy international airport. The map shows the flight distance from
Chicago O'Hare to several cities. Lee conjectured the flight distance from Chicago to
Istanbul is the same as the flight distance from Chicago to Sao Paulo when the distances
are rounded to the nearest thousand.
To Beijing
5,784 miles
5,784 miles
S
6,579 miles
Chicago, Illinois
Istanbul, Turkey
Beijing, China
5,252 miles
Sao Paulo, Brazil
4. Construct Arguments Describe at least one way you could
construct an argument justifying Lee's conjecture.
Answer:
4. Given that the distance from one place to another are placed in ranges of a thousand, then the distances from Sao Paulo to Chicago Illinois which is 5,252 miles and from Chicago Illinois to Istanbul Turkey which is 5,784 miles will be in the same 5,000 kilometer distance range and both distances will taken as the same distance
The same situation can also be arrived at by rounding down both distances
Step-by-step explanation:
The given information are;
The flight distances given;
From Sao Paulo to Chicago Illinois = 5,252 miles
From Chicago Illinois to Istanbul Turkey = 5,784 miles
From Beijing China to Chicago Illinois = 6,579 miles
Lees conjectured the flight distance from Chicago to Istanbul is the same as the flight distance from Chicago Sao Paulo when the distances are rounded to the nearest thousand
Placing the distances in ranges of 1000, we have the 5,252 miles and the 5,784 miles will be in the same 5,000 to 5,999 miles range.
Select the graph that would represent the best presentation of the solution set.
l2x-6l>10
Answer:
[-2,8]
Step-by-step explanation:
Answer:
Fifth option
Step-by-step explanation:
Simplify the solution set, so it now looks like this: -2 < x < 8Look for the graph that looks the most like the simplified solution set. The fifth option has both numbers that's in the solution set, -2 and 8. Therefore, it is correct. It's also in the order on the number line that the solution set is in, so that's another way I know it's correct.Please help me find the answer
34=___
Answer:
34 divided by 2
Step-by-step explanation:
come onnnnnnnnnn
What is the importance of function in real life?
Answer:
it's not important.........
solve: 4(x+1)= -3x-10
SHOW WORK!!!!
WILL MARK BRAINLIEST
━━━━━━━☆☆━━━━━━━
▹ Answer
x = -2
▹ Step-by-Step Explanation
4(x + 1) = -3x - 10
Distribute 4:
4x + 4 = -3x - 10
4x + 3x
Move the terms:
4x + 3x + 4 = -10
Collect like terms:
7x = -10 - 4
7x = -14
FINAL ANSWER:
x = -2
Hope this helps!
CloutAnswers ❁
━━━━━━━☆☆━━━━━━━
How do you solve a perpendicular equation?
Step-by-step explanation:
First, put the equation of the line given into slope-intercept form by solving for y. You get y = -2x +5, so the slope is –2. Perpendicular lines have opposite-reciprocal slopes, so the slope of the line we want to find is 1/2. Plugging in the point given into the equation y = 1/2x + b and solving for b, we get b = 6. Thus, the equation of the line is y = ½x + 6. Rearranged, it is –x/2 + y = 6.
Help needed ASAP will give brainliest and 5 stars rate not a test
Answer:
area square inches is less than 1.2
Step-by-step explanation:
If the principle is $200 and the interest rate is 4%
HELP I NEED THIS ANSWER ASAP OR I FAIL
PLEASE
Answer: A
Step-by-step explanation:
2. Suppose that four times the square of a number equals 20 times that num-
ber. What is the number?
3. Twice the square of the sum of a number and 3 is 98. Find the number. help me in number 2 and 3 please
Answer:
2. the answer is 5 because the square of 5 is 25 and 4 x 25 = 100 which is 20 x 5
Step-by-step explanation:
We are required to find the unknown number from the expression
2.
let
the number = x
four times the square of a number equals 20 times that number
4x² = 20x
Divide both sides by 4x
x = 5
The number is 5
3.
let
x = the unknown number
Twice the square of the sum of a number and 3 is 98
sum of a number and 3 = x + 3
square of the sum = (x+3)²
Twice the square = 2(x + 3)²
2(x + 3)² = 98
2(x² + 6x + 9) = 98
2x² + 12x + 18 = 98
2x² + 12x +18 - 98 = 0
2x² + 12x - 80 = 0
x² + 6x - 40 = 0
using factorization method to solve the quadratic equation
x² + 10x - 4x - 40 = 0
x(x + 10) - 4(x + 10) = 0
(x + 10) ( x - 4) = 0
x + 10 = 0 or x - 4 = 0
x = -10 or x = 4
Therefore, the unknown number is -10 or 4
Read more:
https://brainly.com/question/19952256
A.
B.
C.
D.
look at the picture ^^
Answer:
C, he did not divide properly .
Step-by-step explanation:
3(2x + 1) + 2(x + 3)
Answer:
2) Expand the distribution of terms.
6x+3+2x+6
3) Collect the like terms.
(6x+2x)+(3+6)
4) simplify.
8x+9
145 over 1000 in simplest form
29/200. 145 / 5 = 29, and 1000 / 5 = 200. 29 is a prime, so that's the lowest you can go: 29/200.
Evaluate 2x2 + 4 if x = 2
Answer:
x = 12
Step-by-step explanation:
insert 2 into the equation where x is.
2(2)2 + 4
so this is 2 * 2 * 2 + 4 = 12
Your internet provider offers two different plans. One plan costs $.02 per email
plus a $9 monthly service charge. The other plan costs $.05 per email with no
service charge.
a. Write a system of equations to model the cost of the two internet plans.
b. For how many email messages will both plans cost the same?
c. If you send and receive about 500 email messages per month, which plan
should you use?
a.) y= 0.2x + 9 and y= 0.5x
b.) 30 emails
c.) the first plan
Step-by-step explanation:
a.) cost per email is a variable
b.) graph and find intersection of the lines
c.) plug in 500 for x in both equations
The number of email messages where both plans will cost the same will be 300 messages.
The system of equations to model the cost of the two internet plans based on the information given will be:
Internet provider 1 = 9 + 0.02m
Internet provider 2 = 0.05m
where m = number of mails
The number of email messages where both plans will cost the same will be:
9 + 0.02m = 0.05m
Collect like terms
0.05m - 0.02m = 9
0.03m = 9
m = 9/0.03
m = 300
When there's 500 messages for the month, the cost for each plan will be:
Internet provider 1 = 9 + 0.02m
= 9 + 0.02(500)
= 9 + 10
= 19
Internet provider 2 = 0.05m
= 0.05(500)
= 25
Therefore, based on the calculation, the first plan is cheaper.
Read related link on:
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“Write an equation and solve for the unknown” I know it’s a lot but can someone help me with this
Answer:
g) x = 30
h) x = 30
i) m = 55
j) x = 24
k) k = 45
Step-by-step explanation:
G)
all angles of a triangle add up to 180.
the square in the bottom right of the triangle is 90 btw
2x + x + 90 = 180
3x + 90 = 180
3x + 90 - 90 = 180 - 90
3x = 180 - 90
3x = 90
3x/3 = 90/3
x = 30
H)
this is an Isosceles triangle.
that means the bottom two angles are equal.
75 + 75 + x = 180
x + 150 = 180
x + 150 - 150 = 180 - 150
x = 180 - 150
x = 30
I)
2m is supplementary to the bottom right angle of the triangle.
that means they add together to make 180.
80 + 30 + (180 - 2m) = 180
110 - 2m = 180 - 180
110 - 2m = 0
110 = 2m
110/2 = m
55 = m
J)
to save time I'm not going to write out the steps, its the same as the i.
2x + 3x + (180 - 120 ) = 180
5x + 60 = 180
5x = 180 - 60
5x = 120
x = 120/5
x = 24
K)
imagine this as a triangle and a square.
sorry I'm not sure how to explain this -.-
but the equation would be
k + k + 90 = 180
2k + 90 = 180
2k = 180 - 90
2k = 90
k = 45
L)
Im not sure how to solve this, I'm sorry :( hope you figure it out!
Choose the correct slope of the line that passes through the points (1, −3) and (3, −5).
Answer Choices
A. 1
B. -1
C. 0
D. 1/2
Answer:
B. -1
Step-by-step explanation:
Use the slope formula to find the slope m .
Answer:
B
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (1, - 3) and (x₂, y₂ ) = (3, - 5)
m = [tex]\frac{-5+3}{3-1}[/tex] = [tex]\frac{-2}{2}[/tex] = - 1 → B
Tina recorded these temperatures in one day:
Morning temperature: +8°F
Afternoon temperature: 0°F
Night temperature: −3°F
Which statement is correct based on the given measurements?
The morning temperature was 8 degrees above the night temperature.
The morning temperature was 8 degrees below the afternoon temperature.
The night temperature was 3 degrees below the afternoon temperature.
The night temperature was 3 degrees above the morning temperature.
Answer: the night temperature was 3 degrees below the afternoon temperature
Step-by-step explanation:
Write the equation in Slope Intercept form for the line that passes through (5,-7) and is perpendicular to the y-axis. m= _______ Equation: ________________________________
Answer:
35
Step-by-step explanation:
Answer:
y=-7
m=0
Step-by-step explanation:
y=mx+b
line is perpendicular to y axis and passes through point(5,-7)
which means that our line equation is y=-7
so y=0*x-7
so m=0 and b=-7
Lakeview in 72 miles from Springfield Irania must go to the law library in Springfield to get A document for the law firm for which she works Find how long it takes her to dive round trip if she average 52 mph.
Answer:
3.5 hours
Step-by-step explanation:
2*77/44=154/44=3.5 hours
physics convention 11 companies set up equal sized square booths in a row along one wall of a convention center.The booths are adjacent to each other and a 2-ft wide walkway surrounds the block of booths on three sides. The total area of the booths and walkway is 1200 ft^2. What is the side length of each booth?
Answer:
Side length of each booth is 8.35 ft approximately.
Step-by-step explanation:
There are 11 companies set up equal sized square booths in a row along one wall of a convention center.
Now, refer the diagram to answer the problem.
It is given area is 1200.
So, length x width =1200
(11x+24)(x+2)=1200
Multiply using FOIL method.
[tex]11x^{2}[/tex]+22x+24x+48=1200
[tex]11x^{2}[/tex]+46x+48-1200=0
[tex]11x^{2}[/tex]+46x-1152=0
Solve using quadratic formula
x=[tex]\frac{-46+/- \sqrt{46^{2}-4(11)(-1152 } }{2(11)}[/tex]
x=[tex]\frac{-46+/-\sqrt{2116+50688} }{22}[/tex]
x=[tex]\frac{-46+/-\sqrt{52804} }{22}[/tex]
Simplify it
[tex]x=\frac{-49+/- 229.79}{22}[/tex]
Simplify to get two values for x.
x=8.35; x=-12.67
Here negative does not work.
Side length of each booth is 8.35 ft.
Darryl has $12 to spend on snacks after he buys his movie ticket.He buys a $6.50 popcorn.if he spends the rest of his money on $2.10 candy bar’s, how many bars can he buy ?