Answer:
-11
Step-by-step explanation:
Because you just carry the nine over which when you switch it sides it becomes negative so it's -9 + -2 which equals negative 11
USING STRUCTURE An athletic facility is building an indoor track. The track is composed of a rectangle and two semicircles, as shown. A drawing shows an indoor track. It is shaped like a rectangle with a semi-circle on each of the shorter sides. The length of the rectangle is labeled x. The radius of each semi-circle is labeled r. A. Write a formula for the perimeter of the indoor track. $P=$ b. Solve the formula for $x$ . $x=$ Question 2 c. The perimeter of the track is 660 feet, and $r$ is 50 feet. Find $x$ . Round your answer to the nearest foot. $x=$ feet
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
Find the greater ratio - 6:7 and 7:8
Answer:
6:7
Step-by-step explanation:
What is the following difference? 56.4 – 27.39
Answer:
29.01
Step-by-step explanation:
You just have to do the math
The answer is
29.01
Calculate the rise and run to find the she slope a line
Answer:
slope = 3
Step-by-step explanation:
rise/run = 6/2 = 3
2. Two bicyclists on a 75-mile trail ride toward each other. One bicyclist
begins at the 45-mile marker. The other begins at the end of the trail. The
expressions shown represent the distance from the Parking Lot for each
A. Write an equation to represent the bicyclists' meeting after x hours.
plify.
bicyclist when they meet.
B. After how many hours do the bicyclists meet?
Parking
Lot
75 - 10x
45 + 10x
75 mi
C. How far away are the bicyclists from the
parking lot when they meet?
Answer:
A. The equation representing the bicyclist with equal speed, v, meeting after x hours is 75 - v·x = 45 + v·x
B. The bicyclist meet after 1.5 hours
C. They were 60 miles from the parking lot when they meet
Step-by-step explanation:
A. The starting location of the one of the bicyclist = 75-mile marker
The starting location of the other bicyclist = 45-mile marker
The direction of motion of the bicyclist = Towards each other
The time after which the bicyclist meet = x hours
The expression for the distance from the parking lot are
75 - 10x and 45 + 10x
Whereby the bicyclist are have the same speed, v, we have;
The location where they meet is 75 - v×x = 45 + v×x
B. Solving for x, we have;
75 - v×x = 45 + v×x
75 - 45 = v×x + v×x = 2×v×x
30 = 2×v×x
x = 30/(2×v)
Taking the speed of the bicyclist as 10 mph from the equation of their distance from the parking lot, by dimensional analysis, we have;
x = 30/(2×v) = 30/(2×10) = 1.5
x = 1.5 hours
The bicyclist meet after 1.5 hours
C. Their distance from the packing lot is given by substituting the time, x, it took them to meet into the expression for the distance from the parking lot as follows;
75 - 10 × 1.5 = 60 miles
45 + 10 × 1.5 = 60 miles
Therefore, they were 60 miles from the parking lot when they meet.
Answer:
A. The equation representing the bicyclist with equal speed, v, meeting after x hours is 75 - v·x = 45 + v·x
B. The bicyclist meet after 1.5 hours
C. They were 60 miles from the parking lot when they meet
Step-by-step explanation:
A. The starting location of the one of the bicyclist = 75-mile marker
The starting location of the other bicyclist = 45-mile marker
The direction of motion of the bicyclist = Towards each other
The time after which the bicyclist meet = x hours
The expression for the distance from the parking lot are
75 - 10x and 45 + 10x
Whereby the bicyclist are have the same speed, v, we have;
The location where they meet is 75 - v×x = 45 + v×x
B. Solving for x, we have;
75 - v×x = 45 + v×x
75 - 45 = v×x + v×x = 2×v×x
30 = 2×v×x
x = 30/(2×v)
Taking the speed of the bicyclist as 10 mph from the equation of their distance from the parking lot, by dimensional analysis, we have;
x = 30/(2×v) = 30/(2×10) = 1.5
x = 1.5 hours
The bicyclist meet after 1.5 hours
C. Their distance from the packing lot is given by substituting the time, x, it took them to meet into the expression for the distance from the parking lot as follows;
75 - 10 × 1.5 = 60 miles
45 + 10 × 1.5 = 60 miles
Therefore, they were 60 miles from the parking lot when they meet.
Find the rate. Principle= $50, Interest= $10, Time= 2½ years
Answer: It should be 50% or 0.5
Step-by-step explanation:
On a 28-question test, there are 2-point questions, 4-point questions, and 5-point questions. The test is worth a total of 100 points. There are twice as many 2-point questions as 5-point questions on the test. How many 2-point questions are on the test?
Answer: Number of 5-point question = 4
Number of 2-point questions =8
Number of 4-point question = 16
Step-by-step explanation:
Let x = Number of 5-points question.
then, Number of 2- point question = 2x
Also, Let y = Number of 4-point question.
Now, Total question : x+y+2x =28
⇒ 3x+ y =28 (i)
Total marks = 5x + 2 (2x)+4=100
⇒ 5x+4x+4y=100
⇒ 9x+4y=100 (ii)
Multiply 3 on both sides of (i), we get
9x+3y = 84 (iii)
Subtract (iii) from (ii), we get
y= 16
Put this in (i0, we get
3x+(16)=28
⇒ 3x = 12
⇒ x=4
Now, Number of 5-point question = 4
Number of 2-point questions = 2(4)=8
Number of 4-point question = 16
Answer
Answer: Number of 5-point question = 4
Number of 2-point questions =8
Number of 4-point question = 16
Step-by-step explanation:
Let x = Number of 5-points question.
then, Number of 2- point question = 2x
Also, Let y = Number of 4-point question.
Now, Total question : x+y+2x =28
⇒ 3x+ y =28 (i)
Total marks = 5x + 2 (2x)+4=100
⇒ 5x+4x+4y=100
⇒ 9x+4y=100 (ii)
Multiply 3 on both sides of (i), we get
9x+3y = 84 (iii)
Subtract (iii) from (ii), we get
y= 16
Put this in (i0, we get
3x+(16)=28
⇒ 3x = 12
⇒ x=4
Now, Number of 5-point question = 4
Number of 2-point questions = 2(4)=8
Number of 4-point question = 16
Step-by-step explanation: got the answer from the last person who answered and they are correct
Write −2.32
as a mixed number in simplest form
Answer:
first I put -2.32 into a improper fraction and then I simplified to this - 2 8/25
We need to find the given numbers mixed fraction representation.
The given numbers mixed fraction form is [tex]-2\dfrac{8}{25}[/tex].
The given number is [tex]-2.32[/tex].
Let us remove the negative sign for solving the question.
The negative sign can be added at the end.
[tex]2.32=2+0.32[/tex]
[tex]=2+\dfrac{32}{100}[/tex]
Dividing the fraction by common factors we get
[tex]2+\dfrac{8}{25}=2\dfrac{8}{25}[/tex]
The given numbers mixed fraction form is [tex]-2\dfrac{8}{25}[/tex].
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a) The temperature in the morning was - 12º.
How many degrees warmer is - 9°?
Answer:
-3
Step-by-step explanation:
true or false -5 > -9
Answer:
True
Step-by-step explanation:
Positive Number = 7 > 5
Negative numbers : -5 > -7
(9+2).0 = 0
Is it commutative, associative, identity ,inverse, property of zero, distributive
Answer:
The property used will be property of zero.
Step-by-step explanation:
If an equation or expression ever equals zero, then it will be property of zero.
please someone help me
Answer:
c = 116
Step-by-step explanation:
c and 64 are same- side interior angles and supplementary, thus
c + 64 = 180 ( subtract 64 from both sides )
c = 116
If g(x)=−3x^2+2x−7, Find g(4)
Answer:
-143
Step-by-step explanation:
We have to substitute 4 into x.
g(4) = -3(4)^2 + 2(4) - 7
g(4) = -12^2 + 8 - 7
g(4) = -12^2 + 1
-144 + 1
-143
-47
Step-by-step explanation:
= -3(4)^2 +2(4) -7
= (-3×16) +8 - 7
= -48+8-7
= -40-7
= -47
place these numbers in order from least to greatest: ( picture)
Answer:
[tex]\sqrt3[/tex], [tex]\sqrt6[/tex], π, 4.625
Step-by-step explanation:
Just turn the values into decimals and then put in order form least to greatest
deminsions of a swedish flag in inches
Answer: 24.75 x 1.5 x 1.5 inches
Step-by-step explanation: Hope this helps!
what is wrong with the equation?
Answer:
I think X=3
Step-by-step explanation:
When adding fractions you have to find a common denominator, the easiest way is to use the other number for it. So with [tex]\frac{x}{2}[/tex] you would multiply the top and bottom by 6, and with [tex]\frac{x}{6}[/tex] you would multiply both the top and bottom by 2. You should then have [tex]\frac{6x}{12}[/tex]+[tex]\frac{2x}{12}[/tex]. You add the tops together which will leave you with 8x and the bottom stays the same. Then you multiply the the 2 by the 12, and when doing this the 12 will cancel out. leaving you with 8x= 24. Finally you divide 24 by 8 and X is 3.
Pam and her brother both open savings accounts. Each begin with a balance of zero dollars. For every two dollars that Pam saves in her account, her brother saves five dollars in his account. If Pam has 40 dollars in her account, how much money does her brother have in his account?
Answer:
the answer is
Step-by-step explanation:
100
Becasue when you do the math of how many two's you used to get to 40 and you do that with the fives that her brother makes it is 100.
y=7x+ 2/5 as standard form
Answer:
use symbolab
Step-by-step explanation:
write the segment addition posutlate for the poins described
Answer:
Segment Addition Postulate: 2 points A and C, a third point B lies on the line segment AC if and only if the distances between the points satisfy the equation AB + BC = AC.
Step-by-step explanation:
Answer: Segment Addition Postulate: 2 points A and C, a third point B lies on the line segment AC if and only if the distances between the points satisfy the equation AB + BC = AC.
hope this helped you kiddo.
Step-by-step explanation:
What is the domain for f(x) = 1/2(x + 1) + 3?
What is the domain for f(x) = 2?
What is the domain for f(x) = -2(x - 2) + 1?
Answer:
the domain of f(x) = 1/2(x + 1) + 3 on this graph is [-6,-1] because there are solid dots on -6 and -1
the domain of f(x)=2 on this graph is (-1,2] because there is an open circle on -1 and a solid circle on 2
the domain of f(x) = -2(x - 2) + 1 is (2,6] because there is an open dot on 2 and a solid circle on 6
The domain of the given all three functions are explained below.
What is the function?A relationship between a group of inputs and one output is referred to as a function. In plain English, a function is an association between inputs in which each input is connected to precisely one output. A domain, codomain, or range exists for every function. Typically, f(x), where x is the input, is used to represent a function.
We must identify each value of the independent variable (often represented by x) for which the function is specified in order to establish the domain of the function.
A function's domain may be constrained by certain guidelines or limitations, such as:
The domain must be free of any x values that would result in the denominator being 0 since the function could contain a fraction with a denominator that cannot be zero.The domain must be free of any values of x that would turn the expression beneath the radical into a negative expression since the function could contain a square root of a negative number.From the graph, the domain of the given function is f(x) = 1/2(x + 1) + 3 is [-6, -3].
From the graph, the domain of the given function is f(x) = 2 is (-3, 2].
From the graph, the domain of the given function is f(x) = -2(x - 2) + 1 is (2, 6].
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what is the slope of the line that contains the points in the table ?
Answer: -2
Step-by-step explanation:
find the value of x root (4/7)^2x-1=16/49
Answer:
[tex]\frac{3}{2}[/tex]
Step-by-step explanation:
Given expression:
[tex](\frac{4}{7}) ^{2x - 1}[/tex] = [tex]\frac{16}{49}[/tex]
Solve for x;
Solution:
16 = 4²
49 = 7²
So;
[tex](\frac{4}{7}) ^{2x - 1}[/tex] = [tex]\frac{4^{2} }{7^{2} }[/tex]
[tex](\frac{4}{7}) ^{2x - 1}[/tex] = [tex](\frac{4}{7} )^{2}[/tex]
Now;
2x - 1 = 2
2x = 3
x = [tex]\frac{3}{2}[/tex]
the total cost of renting a cotton candy machine for 4 hours is $72. what equation can be used to model the total cost y for renting the cotton candy machine x hours
An equation which can be used to model the total cost (y) for renting the cotton candy machine (x) hours is y = 18x.
What is an equation?An equation can be defined as a mathematical expression which shows that two (2) or more thing are equal.
What is a system of equations?A system of equations can be defined an algebraic equation that only has two (2) variables and can be solved simultaneously.
In order to solve this word problem, we would assign variables to the unknown numbers and then translate the word problem into algebraic equation as follows:
Let x represent the number of hours.Let y represent the total cost.Translating the word problem into an equation, we have;
y = 72/4 × x
y = 18x
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PLS IT URGENTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTT!!!!!!!!!!!!!!!!!!!
Answer:
Im sorry because I do not know that.
Step-by-step explanation:
PLEASE I REALLY NEED HELP
Answer:
80 students
Step-by-step explanation:
The line in the middle of the box is the 50% line ( the median, which is 50% above and 50% below)
Since it is at 48, there are 50% above 48 points
3/4 of the students had less than 70 marks
3/4 s = 120
s = 4/3 * 120
The number of students = 160
We need 50 % of the students
50% of 160
.5 * 160 = 80
HELP HELP HELP DUE IN TEN MINS
6 seconds, i think
sry if im wrong
Which of the following are equations for the line shown below? Check all that apply.
A y-5=1.5(x-4)
B y-4=1.5 (x-5)
C y-2=1.5(x-2)
D y=1.5-1
Answer:
answer is d I think that makes more sense then other options
Please help it would be great
Answer:
120
Step-by-step explanation:
jUts bEcAusE
Create a scenario for y=3x+4 will mark brainliest
Answer:
y=10
Step-by-step explanation:
x=2
3x2= 6
6+4 = 10
A scuba diver descended to an elevation of 250 feet, examined some coral, and then ascended 14 feet to observe a school of clownfish. At what elevation was the school of clownfish
Answer:
264 feet.
Step-by-step explanation:
add 250+14=264
