Answer:5
Step-by-step explanation:
A running track has two straight sides with length 140 m and two semicircle ends with radius 70 m. It takes Kat 40 seconds to jog 160 m. How long would it take her to jog around the track 51 times? Give your answer in hours and minutes, to the nearest minute.
It would take her 4590 seconds to jog round the track 51 times
Speed is the ratio of the total distance travelled to total time taken. It is given by:
Speed = distance / time
Kat uses 40 seconds to jog 160 m, hence:
Speed = 160 m / 40 s = 4 m/s
The track length = 140 m + 2 * (π * 70) = 360 m
Time taken to jog round the track (t) is:
4 m/s = 360 m / t
t = 90 s
To jog round the track 51 times, time taken = 51 * 90 s = 4590 seconds
It would take her 4590 seconds to jog round the track 51 times
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What is 5884 diveded by 94?
Answer:
62.5957447
Step-by-step explanation:
= 62 R 56
= 62 56/94
= 62 28/47
Answer:
The answer is 62.6
Step-by-step explanation:
Evaluate mn when m=8 and n= 1/2
Answer:
4
Step-by-step explanation:
you just multiply 8(m) by 1/2(n)
The eggs of a certain insect hatched after heavy rain. The population of these insects can be modeled by the expression 192 times (2)^x-5.
Answer:
someone answer this pls
Step-by-step explanation:
Plz help I don’t understand how to do this problem
Answer:
a) 6b) 3t² - 17t + 28c) 3t² - 5t - 2Step-by-step explanation:
Given function:
g(t) = 3t² - 5t + 4a) g(2)
g(2) = 3*2² - 5*2 + 4 = 3*4 - 10 + 4 = 12 - 6 = 6b) g(t - 2)
g(t - 2) = 3(t - 2)² - 5(t - 2) + 4 = 3(t² - 4t + 4) - 5t + 10 + 4 = 3t² - 12t + 12 - 5t + 16 = 3t² - 17t + 28c) g(t) - g(2)
g(t) - g(2) = 3t² - 5t + 4 - 6 = 3t² - 5t - 2Determine whether the triangles are similar.
similar it is just 3 times bigger but similar
A bank promises to pay 5.5% pa compound interest on
deposits of £2337 if saved for 3 years. How much will the
savings be worth at the end of the period mentioned? Write
your answer correct to 2 decimal places.
Answer:
Answer:
£407.20Step-by-step explanation:
Deposit = £2337Interest = 5.5% pa compound Time = 3 yearsSavings:
2337*((1 + 5.5/100)^3 - 1) = 2337*((1.055)^3 - 1) =407.20Dax is buying coffee for 5 people in his office. He also leaves a $2.00 tip for the barista.
If his total, with tip, is $18.25, how much is each cup of coffee, not including the tip?
Answer:
3.25
Step-by-step explanation:
Solve for x
7x = 2
Give your answer as a fraction in its simplest form
Answer:
2/7
Step-by-step explanation:
7x/7=2/7
Simplify:Cancel terms that are both the numerator and denominator
Solution: 2/7
3. The diameter of a cylindrical column is 60cm and
its height is 4.2m
The cost of making it is £67.50 per cubic metre.
What is the cost of making it?
Answer:
£80.33
Step-by-step explanation:
The formula for the Volume of a cylinder = πr²h
The diameter of a cylindrical column is 60cm and its height is 4.2m
Converting the diameter to meter
100 cm = 1 m
60 cm = x
Cross Multiply
100 × x = 60 × 1
x = 60/100
x = 0.6m
The diameter of the cylinder = 0.6m
Radius = Diameter/2
Radius = 0.6m/2
Radius = 0.3m
Volume of a cylinder = πr²h
= π × 0.3² × 4.2
= 1.18752 m²
Approximately = 1.19 m²
The cost of making it is £67.50 per cubic metre. What is the cost of making it?
The volume of the cylindrical column = 1.19 m²
Hence:
1m² = £67.50
1.19m² = x
Cross Multiply
x × 1m² = 1.19 m² × £67.50
x = 1.19 m² × £67.50/1 m²
x = £ 80.325
Approximately = £80.33
Therefore, the cost of making the cylindrical column = £80.33
Use an informal argument to find the value of a
PLEASE ANSWER FAST!!!
The graph represents the amount of money Sal earns for babysitting.
Graph where the x- axis gives time in hours and runs from zero to three and beyond. The y- axis gives earnings in dollars and runs from zero to twenty four and beyond. A straight line intersects the axes at (0, 0). Its coordinates are (5, 4), (1, 8), (1.5, 12), (2, 16), and (2.5, 20)
Part A
What does the ordered pair (2.5, 20) represent in the situation?
A. $2.50 for 20 hours
B. $1 for 0.125 hours
C. $0.125 for 1 hour
D. $20 for 2.5 hours
Part B
Does the graph represent a proportional relationship? Explain.
A.
Yes. The line passes through the origin.
B.
Yes. The line has a variable rate of change.
C.
No. The slope is not constant.
D.
No. The line has a y-intercept greater than 0.
Part C
What is the linear equation represented by the graph?
A. y = 20x + 2.5
B. y = 2.5x + 20
C. y = 8x
D. y = 0.125x
Answer: d, a, and c
Step-by-step explanation:
Part(A)
The ordered pair (2.5, 20) represents $2.50 for 20 hours. the correct option is A.
Part(B),
Yes. the line passes through the origin. The correct option is A.
Part(C),
The linear equation represented by the graph is y = 8x. The correct option is C.
What is an equation of the line?An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.
The general form of the equation of the line:-
y = mx + c
m = slope
c = y-intercept
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given that coordinates are (0.5, 4), (1, 8), (1.5, 12), (2, 16), and (2.5, 20).
Part(A),
The ordered pair (2.5,20) represents that the earning is $20 for the work of 2.5 hours.
Part(B),
The slope of the line will be calculated as,
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
Slope = ( 8 - 4 ) / ( 1 - 0.5 )
Slope = 4 / 0.5
Slope = 40 / 5
Slope = 8 hours
The y-intercept is calculated as,
y = mx + c
16 = ( 2 x 8 ) + c
c = 16 - 16
c = 0
Hence, the line passes through the origin.
Part(C),
The equation of the line will be written as,
y = mx + c
y = 8x + 0
y = 8x
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The image of the point (1, -3)(1,−3) under a translation is (-4, -2)(−4,−2). Find the coordinates of the image of the point (-3, 7)(−3,7) under the same translation.
Answer:
The new points under the translation are (-8,8) and (-8,8)
Step-by-step explanation:
The method is actually quite simple and only involves basic arithmetic. The first step is to identify the translations occurring to each coordinate. If we recall that an ordered pair is (x,y), we can assign the translations to each value. Let's take the first point (1, -3) to start. 1 is our x and -3 is our y. If we then look at the translated point we can see that the x value there is -4. Then we can simply subtract the new x value, -4, from the first one, 1, and get 5. 5 is the number that we have to subtract from the next coordinate set to get the translated set. This gets us the first value of the second point -8 which we got by subtracting our 5 from the -3 in the x. Next, we can do the y value. The process is identical. Subtract the new from the old, -3-(-2)=-1. We then simply subtract the negative one (or just add one) from the y value of the other set. This gives us a value of 8, 7-(-1)=8. Then compound the two together putting x first then y and there you have it! Happy to help, Mw
what is an equation of the line that passes through the point (5,1) and is parallel to the line x+y=9
Help me please if you get it right brainless for you ^-^
Answer:
C
Step-by-step explanation:
I read it.
Answer:
Step-by-step explanation:
To increase Readers' interest.
Explanation: The similarity in this excerpt is that, The sun's disappearance after sunset is similar to the way an object disappears near a black hole.
In ΔVWX, w = 55 inches, x = 26 inches and ∠V=103°. Find the length of v, to the nearest inch.
Answer:
66 inches
Step-by-step explanation:
v² = 55² + 26² - 2(55)(26) · cos 103°
v² = 3025 + 676 - [2860 · cos 103°]
v² = 3701 - (-643.4)
v² = 4344.4
v = [tex]\sqrt{4344.4}[/tex] ≈ 66
If someone could please help me I really need help me with geometry
Answer:
VU = 8
KL = 19
ΔS = 120°
ΔF = 130°
HOPE IT HELP
PLZ FOLLOW ME
200 people buy plane tickets.
92 males buy tickets
30 of the males buy Business tickets
62 females buy Economy tickets
A total of 44 people buy Business tickets.
A total of 60 people buy Premium tickets.
How many males buy Premium tickets?
You must show all your working.
what is m
picture below!!Answer:
Please check the explanation.
Step-by-step explanation:
We know that a pentagon is a polygon with 5 sides and 5 angles.
Given the polygon with 5 angles.
A pentagon is a polygon with 5 sides and 5 angles.
The angles of the given pentagon are:
∠P = (4x + 2)°
∠Q = 132°
∠R = (4x - 10)°
∠S = (5x - 11)°
∠T = 128°
We know that the sum of the measures of the interior angles of a pentagon is 540 degrees.
Therefore,
∠P + ∠Q + ∠R + ∠S + ∠T = 540°
(4x + 2)° + 132° + (4x - 10)° + (5x - 11)° + 128° = 540°
group similar elements
4x + 4x + 5x + 2 + 132 - 10 - 11 + 128 = 540
simplify
13x + 241 = 540
subtract 241 from both sides
13x + 241 - 241 = 540 - 241
13x = 299
divide both sides by 13
13x/13 = 299/13
x = 23
Thus, the value of x = 23
Therefore, the measure of angle ∠S is:
m∠S = (5x - 11)°
= (5(23) - 11)°
= (115 - 11)°
= 104°
Thus,
m∠S = 104°
Identify the y-intercept of the graph of the equation.
Answer:
3
Step-by-step explanation:
the y intercept is were x=0
The coordinates of a triangle are P(1, 4), Q(3, 6), and R(5, 2). The triangle is reflected over a line and its image coordinates are P'(–1, 4), Q'(–3, 6), and R'(–5, 2).
Answer:
Its reflected over the y axis
What is the distance from (6,0) to (8,0)?
Answer:
The distance should be 10 I believe
A pet store has 8 dogs, 12 cats, and 3 rabbits. The ratio 8:23 compares
Answer:
Step-by-step explanation:
the number of dogs to the number of total numbers.
8 dogs: 23 total animals.
means 8 of the 23 animals are dogs.
The ratio 8:23 represents 8 dogs out of total 23 animals.
What is Ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
Here, Total number of animals = 8 + 12 + 3
= 23 animals
Ratio given = 8 : 23
in which 8 represents the number of dogs and 23 represents total number of animals.
Thus, The ratio 8:23 represents 8 dogs out of total 23 animals.
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Complete each statement with a number that makes the statement true.
_____ < 7°C
Do not include units (°C) in your answer.
copied for free from openupresources.org
Select one:
15
8
4
10
Answer:
4
Step-by-step explanation:
the answer is: 4
cause 4 is less than 7
Find the formula for the nth term of these sequences:
(a) 2, 5, 10, 17, 26, …….
(b) 4, 10, 20, 34, 52, ………
Part of a geometric sequence is given below:
,,,,, -1, ,,,, , ,,,,,, 64, ,,,,,
Where uₙ means the nth term, hence, u₂ = -1, and u₅ = 64.
Second term is -1, and the fifth term is 64. Calculate:
(a) The common ratio (r)
(b) The value of the first term (a) or u₁
(c) The value of the 10th term.
I need it by today!! and please for the people who type to get points please dont do it with me
A child makes a pitcher of fruit punch by completely dissolving fruit- flavoured powder in water. The child drinks a glass and decides the punch needs to be sweeter, so she stirs in more powder. This time the powder does not all dissolve, but settles on the bottom of the pitcher. A) Is the fruit-flavoured powder a pure substance or a mixture? * helpme anyone?
I AM TIMED PLZ HELP!!!!!!!!!!!
Type the missing number in this sequence:
1, 2, 5, 10, , 26, 37, 50
I’ll give you brainlest if you answer this question correctly it goes to the first person!
Answer:
It would be -4 for "x" and -6 for "y"
Step-by-step explanation:
x+z=-4+-6=-10
x-y=-4--6=2
0.00002004 and 0.01203000 in scientific notation
Answer:
Below...
Step-by-step explanation:
Scientific Notation:
2.004 × 10-5
Scientific Notation:
1.203 × 10-2
(6x10^6) / (2x10^3) solve?
Answer:
3x^999000
Explantiotn
