BOUNDS QUESTION GCSE MATHS - A race is measured to have distance of 10.6km, correct to the next0.1km. Sam runs the race in a time of 31 minutes 46seconds, correct to the nearest second.
Sam's average speed in this race is Vkm/hour.
By considering bounds, calculate the value of Vkm to a suitable degree of accuracy. You must show your work and get reasons for your answer. [5 MARKS]
Answers
The average speed of Sam's race car is equal to 20 kilometers per hour.
How to determine the average speed of a race car
In this question we find the case of a race car being displaced in a race whose length (s) is 10.6 kilometers, a distance traveled in a time (t) of 31 minutes and 46 seconds (1906 seconds). The average speed (v), in kilometers per hour, is described by the following formula that assumes an hypothetical constant speed:
v = s / t
Where:
s - Distance, in kilometers.t - Time, in hours.First, convert time into hours:
t = (31 min) · (1 hour / 60 min) + (46 s) · (1 hour / 3600 s)
t = 0.529 h
Second, calculate the average speed:
v = (10.6 km) / (0.529 h)
v = 20.038 km / h
v = 20 km / h
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Related Questions
Use algebra tiles to solve 2x + 1 = 9 on IXL
Answers
Answer: 4
Step-by-step explanation:
1. Question: 2x+1=9
2. Subtract 1 from the 9
Answer to step 2: 2x=8
3. Divide 8/2 (4x2)
4. Answer: x=4
Answer: X= 4; look below for the explanation of algebra tiles
Step-by-step explanation: First, we need to determine the value of x. We can use the rule of inverse operations. So, the opposite of addition is subtraction, and the opposite of multiplication is division. Now, using that, we start with the inverse operations of 1 + 9. That'd be 9 - 1. So, that's 8. Now, according to the order of inverse operations, we divide the 2 by 8. So, 8 divided by 2 is 4. Therefore x = 4.
Now, using the tiles, we need to get 8 tiles, + 1 tile, which should get you your answer. I hope this helped!
Select the correct answer. How can you write the expression 7(b – 2) in words? A. Two subtracted from the quotient of seven divided by b B. Seven added to difference of b minus two C. The quotient of seven divided by b minus two D. Two subtracted from seven times b E. The product of seven and the difference of b minus two
Answers
Answer:
its e
Step-by-step explanation:
Find the derivative.
y = x tanh^-1(x) + ln (√( 1 −x2))
Answers
The answer is:
- 1 < x < 1
I hope this is correct
Ross had 85 papers to grade from his students. He has graded 60 of them. Approximately what percentage of papers does he have left to grade?
Answers
well, our origin amount will be 80, so 80 is the 100% or all papers, now, she has graded 60, so what's leftover is 20, what's 20 off of it in percentage?
[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} 80 & 100\\ 20& x \end{array} \implies \cfrac{80}{20}~~=~~\cfrac{100}{x} \\\\\\ 4 ~~=~~ \cfrac{ 100 }{ x }\implies x=\cfrac{100}{4}\implies x=25[/tex]
Marcelle and Megan realized that they could express their ages more specifically if they used fractions. Doing this will allow them to calculate their difference in their ages. Marcelle is $15\frac{1}{2}$ years old, and Megan is $7\frac{7}{12}$. What is the difference in their ages? Express your answer as a simplified mixed number.
Answers
The difference between their ages is obtained as 35/12.
What is the difference?Let us recall that the term fraction has to do with a part of a whole. In this case, we have been told that Marcelle and Megan realized that they could express their ages more specifically if they used fractions.
Age of Marcelle = 15 1/2 or 31/2 years
Age of Megan = 12 7/12 or 151/12 years
The difference between their ages is;
31/2 - 151/12
=186 - 151/12
=35/12
There ages would have a difference of 35/12.
In the computation that has gone on above, we can clearly see that the difference in the ages is 35/12.
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Missing parts;
Marcelle and Megan realized that they could express their ages more specifically if they used fractions. Doing this will allow them to calculate their difference in their ages. Marcelle is 15 1/2 years old, and Megan is 7 7/12. What is the difference in their ages? Express your answer as a simplified mixed number.
I want to know how to get the GCF and LCM of 8,24,48
Answers
Answer:
GCF = 8
LCM = 48
Step-by-step explanation:
why is the product of the circumradius and the area of the triangle equal to the product of the sides of the triangle
Answers
Answer:
It isn't.
The correct relation is 4r·Area = abc.
Step-by-step explanation:
You want to show the relation between the product of triangle side lengths and the product of the triangle area and the radius of the circumcircle.
Triangle areaThe area of the triangle in the attached diagram can be found by ...
Area = 1/2(bc)sin(α)
Side lengthThe inscribed angle theorem tells you the measure of the arc subtended by an inscribed angle is twice the measure of the inscribed angle. That means the opposite chord will be twice the length of the product of the radius and the inscribed angle value:
a = 2r·sin(α)
Circumradius productThe product of the circumradius and the area of the triangle is ...
r·Area = r·(1/2)(bc)sin(α) = 1/4(bc)(2r·sin(α)) = 1/4abc
Without the fractions, the relation is ...
4r·Area = abc
__
Additional comment
As a simple example, consider a 3-4-5 right triangle. The area of the triangle is ...
A = 1/2(3)(4) = 6
The circumradius is half the length of the hypotenuse, r = 5/2.
The relation of interest is ...
4r·Area = abc
4(5/2)(6) = 3·4·5
60 = 60 . . . . . . . . . . as expected
This could be a very simple way to find the circumradius of a triangle.
Solve the equation t − 3 = 17 for t.
−20
20
−14
14
I already searched the question and none of the answers I saw were an option.
Answers
The equation can be solved by adding 3 to both sides of the equation.
Solve the equation t − 3 = 17 for t?To solve the equation t − 3 = 17, we need to add 3 to both sides of the equation. Doing so, we get t = 17 + 3 = 20. Therefore, the value of t is 20.In this case, the variable is t. The equation t - 3 = 17 has 3 subtracted from t on the left side, so to isolate t, we must add 3 to both sides to make the equation equal. Once we do this, we are left with t = 20.The equation t − 3 = 17 is an equation with a single variable, t.The equation t - 3 = 17 is a simple algebraic equation that can be solved by performing the inverse operation of subtraction. To solve this equation, we must first add 3 to both sides of the equation.Therefore, the solution to the equation t - 3 = 17 is t = 20.The equation can be solved by adding 3 to both sides of the equation. When 3 is added to the left side of the equation, it cancels out the -3, leaving just t. When 3 is added to the right side of the equation, it increases the value of the right side from 17 to 20. Therefore, the equation t − 3 = 17 can be solved by adding 3 to both sides, which results in the equation t = 20.This means that the value of t is 20.To learn more about the value of the unknown variable refer to:
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HELP ILL GIVE BRAINLIEST!!!
dividing mixed numbers^^
Answers
Answer:
1) 1[tex]\frac{59}{70}[/tex]
2)[tex]1\frac{7}{44}[/tex]
3)[tex]\frac{22}{25}[/tex]
4)[tex]2\frac{4}{33}[/tex]
5)[tex]\frac{38}{45}[/tex]
6) [tex]\frac{80}{141}[/tex]
Benji's flight from Chicago to San Jose took 0.5 hour longer than his return flight from San Jose
to Chicago. If Benji's flight from Chicago to San Jose was 4.5 hours long, how long was his return
flight, in hours?
Choose 1 answer:
A
3.5
B 4
C 4.5
D
assroom
5
Answers
The time taken for his return flight, in hours could be 4 hours.
What is time ?
Time is defined as the sequence of events that occurs which can be from past through present or to future.
Given,
Benji's flight from Chicago to San Jose took 0.5 hour longer than his return flight from San Jose to Chicago.
If Benji's flight from Chicago to San Jose was 4.5 hours long
let,
chicago to san jose = san jose to chicago+0.5
4.5 - 0.5 = san jose to chicago
san jose to chicago = 4 hours
Hence, How long was his return flight, in hours is 4 hours.
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The circumference of a circle is 125.6 millimeters. What is the circle's radius?
Answers
Answer:
20 millimeters.
Step-by-step explanation:
To find the radius of a circle with circumference, you must divide the circumference by pi (3.14).
After dividing the circumference by pi, you now have the diameter of the circle.
Secondly, to get the radius, divide the quotient (the diameter) by 2.
The quotient is the radius of the circle.
----------------------------------------------------------------------------------------------------------------
Now, I will repeat these steps using the circumference of 125.6 millimeters.
125.6 ÷ 3.14 = 40.
40 ÷ 2 = 20.
Therefore, 20 millimeters is the radius of this circle.
The circle's radius is mathematically given as
r=20
What is the circle's radius?Question Parameter(s):
The circumference of a circle is 125.6 millimeters.
Generally, the equation for the circumference is mathematically given as
C=2\pi r
Therefore
C=2 *3.14*r
125.6=2 *3.14*r
r=20
In conclusion, The raduis
r=20
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Find the surface area and show the work
Answers
Answer:
where is the qestion
Step-by-step explanation:
Answer:
surface area for what u didn't include any numbers
PLEASE HELP ME I WILL GIVE BRAINIEST IM STUDYING HELP A PERSON OUT NO SCAMMSSS>S>>S
Answers
Answer:
White
Step-by-step explanation:
20 divided by 4 = 5
White was spun 5 times.
please help it's due today, And please if you don't know the answers don't put any links or apps. And if you do know the answer plz help me.I'll mark as brainliest
Answers
the first one is 3. and the second is 1.
Answer:
B (1): iii
B(2): ii
Step-by-step explanation:
B(1): answer choice 3 is the only answer increasing at a constant rate.
B(2): answer choice two is the only answer not increasing at a constant rate
18+x=27
please answer soon:)
Answers
Answer:
x = 9
Step-by-step explanation:
18 + x = 27
x = 27 - 18
x = 9
Directions: Find each value or measure. Assume that segments that appear to be tangent are tangent
Answers
Answer:
x = 7, x = 5
Step-by-step explanation:
Given 2 intersecting chords, then
The product of the parts of one chord is equal to the product of the parts of the other chord.
(1)
27x = 9 × 21 = 189 ( divide both sides by 27 )
x = 7
(2)
12(3x - 5) = 120 ( divide both sides by 12 )
3x - 5 = 10 ( add 5 to both sides )
3x = 15 ( divide both sides by 3 )
x = 5
What is the common difference for this arithmetic sequence? 45, 40,35, 30.25,...
Answers
Answer:
It decreases by 5 each time. -5 would be another way to state it
Step-by-step explanation:
Answer:
d = - 5
Step-by-step explanation:
The common difference d is the difference between consecutive terms, so
d = a₂ - a₁ = 40 - 45 = = 5
what is 0.133 with a bar over 33
Answers
Answer:
2/15
Step-by-step explanation:
make x= 0.13
multiply it by 10^1 .
10x = − 1.33
subtract x from 10x
10x−x =
1.33 - 0.13
9x = 1.2
divide both sides by 9 to get x as a fraction
x = 1.2/9 =
12/90 =
2/15
httpssocraticorgquestionshowdoyouconvert0133beingrepeatedtoafraction#242780
A bar over a digit in a decimal number, such as 0.133 with a bar over the 3, indicates that the number is a repeating decimal. In this case, 0.133 is a repeating decimal and the digit 3 is repeating infinitely.
What is repeating decimal?A repeating decimal is a decimal number whose digits are periodic and repeat infinitely. They are also called recurring decimals. For example, 0.333... is a repeating decimal, with the digit 3 repeating indefinitely. The same goes for 0.666... and so on. They can also be represented in the form of a fraction, where the numerator is the repeating decimal and the denominator is a power of 10 with a 1 followed by as many zeroes as the number of digits in the repeating block. Repeating decimals can also be represented with a bar over the repeating block of digits, for example 0.133 with a bar over the 3, indicating that the digit 3 is repeating infinitely. It's also written as 0.133(3) where (3) means the repeating decimal. Another way is to use a dot above the repeating digit.To learn more about decimal refer:
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Find the circumstances
Answers
Answer:
15π = 47.12
Step-by-step explanation:
C = pi(diameter)
C= 15π
Answer:
Solution given:
diameter [d]=15m
circumference =?
we have
circumference of circle =πd=π×15=15π or 47.12m
Good morning, is there any guinea pig expert or anybody with a small creature know what's going on cause inside my guinea pig eye (not outer) have this white spot in the pupil, it expands and shrinks.. please help
Answers
I would like to ask you to go to the vet, or attempt to, as this might be a worm in the eye. The same thing happened to my dog.
A woman has 23 coins in her pocket, all of which are dimes and quarters. If the total value of the coins is $ 4.10, how many
dimes and how many quarters does she have?
Answers
Answer:
Step-by-step explanation:
there is 1 dime and 12 quarters
What is the volume of a cylinder with a radius of 30 cm and a height of 15 cm PLEASE IM BEGGING PLEASE HELP
Answers
Answer:
We need to find the area of the base/circle then multiply it by the height so if you know the formula area of a circle your good to go.
30^2 = 900
900 x 3.14 =2,826
Now lets multiply the base's area/circle by the height!
2,826 x 15 = 42,390 cm^3(cm cubed) is your answer.
9) Which point is a solution to the equation 3x + 2y = 9?
A. (0,4) B. (4,0) C. (1,3) D. (3, 1)
Answers
Answer:
c. (1, 3)
Step-by-step explanation:
The coordinates that best suite the equation, given it the answer.
PLEASE HELP Water flowed out of a tank at a steady rate. A total of 18 and one-half gallons flowed out of the tank in 4 and one-fourth hours. Which expression determines the quantity of water leaving the tank per hour?
Answers
The expression determines the quantity of water leaving the tank per hour is (18 1/2 gallons)/(4 1/4 hours)
How to find which expression determines the quantity of water leaving the tank per hour?
Rate is the ratio of a certain number of units of one quantity to units of another quantity. Mathematically, rate is one quantity divided by the other quantity.
If a total of 18 and one-half gallons flowed out of the tank in 4 and one-fourth hours. We can write that the rate as follows:
rate = (18 1/2 gallons)/(4 1/4 hours)
rate = 4 6/17 gallons per hour
Thus, the expression determines the quantity of water leaving the tank is (18 1/2 gallons)/(4 1/4 hours)
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Can some help me with my delta math assignment I need help I’m failing this class bad and the school is almost over lol.
Answers
Answer:
SURFACE ARE: 1068.14
Lateral surface area: 439.82
Step-by-step explanation:
A=2πrh+2πd=2×π×10×7+2×π×1000=1068.14
Al= 2drh=2×π×10×7≈439.82
Justin invested $7,300 in an account paying an interest rate of 1.5% compounded
quarterly. Assuming no deposits or withdrawals are made, how long would it take, to
the nearest tenth of a year, for the value of the account to reach $8,560?
Answers
Answer: 10.7 years.
Step-by-step explanation:
7,300 * (1 + 0.015)^x = 8,560 <=>
7,300 * 1.015^x = 8,560 <=>
1.015^x = 8,560 / 7,300 <=>
1.015^x = 1.1726 <=>
x = 10.694
To the nearest tenth:
x = 10.7 years
1/4(12x-20)+3(3x+5) I'm extremally confused I'm supposed to simplify
Answers
Answer:
12X+10
Step-by-step explanation:
THAT IS THE SIMPLFY 1-4 x (12x-20)+3(3x+5) Facout our 4 from the expression 1-4 x4 (3x-5)+3(3x+5) Simply the expression cancel out the greatest common factor 4 remove unncessary parntheses if so collect the terms 3x 9x 12x and the solutin is 12x+10
PLEASE HELP!! WILL GIVE BRAINLIEST IF RIGHT
what is the value of x + y for the system of equations?
y = 2/3x - 9
y= 8 - 2x
Answers
Answer:
I got decimals when I graphed but I got (6.25,-4.75)
Step-by-step explanation:
I made a graph and placed the 2 equations in and marked where they intercepted which is (6.25,-4.75)
Jess and Brian are playing the following game: Jess thinks of a fraction, and Brian flips a coin. If the coin turns up heads, Jess multiplies the number she's thinking of by $\frac{5}{6}$. If the coin turns up tails, she multiplies the number she's thinking of by $\frac{6}{5}$. Brian flips the coin ten times, and after each flip Jess multiplies the number in her head by either $\frac{5}{6}$ or $\frac{6}{5}$, depending on the coin flip. The ten coin flips turn out to be:\[ \text{THTTHTHTTT}, \]where H means 'heads' and T means 'tails.' What number is Jess thinking of at the end of the game if she starts out with the fraction $\frac{5}{9}$
Answers
Starting out with the fraction of 5/9, Jess would be thinking of the fraction 144/125 at the end of the game if the ten coin flips turn out to be {THTTHTHTTT}.
What is the probability of getting H or T in a coin flip?Since both outcomes are equally likely, the probability of getting heads is 0.5 and the probability of getting tails is also 0.5. Alternatively, the probability of getting H or T in a coin flip is 1.
What is the significance of probability?Probability is an important method for comprehending and making judgments regarding uncertain occurrences in many disciplines, including statistics, finance, and science. It aids in quantifying and forecasting the probability of specific events, enabling us to make better educated choices and comprehend the degree of risk involved with various activities. In summary, probability is a key idea in decision-making and risk management because it is a potent instrument for comprehending and managing uncertainty.
Taking the sequence of coin flips in ten tires, i.e THTTHTHTTT , and starting from the fraction 5/9, the fraction that jess would be thinking at the end of the game can be calculated as,
5/9 * (6/5)^7 *(5/6)^3 , since there are 7 Tails and 3 Heads during the whole game. Which is equal to the fraction 144/125.
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What is the first step to do in using substitution method?
Answers
Answer: Solve one equation for one of the variables.
Step-by-step explanation: