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]
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
To learn more on average speed: https://brainly.com/question/12322912
#SPJ1
What types of lines are coplanar and intersect at a right angle?
A. parallel
B. perpendicular
C. skew
D. transversal
Answer:
B
Step-by-step explanation:
perpendicular is right angle
write an explicit rule for -2, 5, 12, 19
The explicit rule for the sequence -2, 5, 12, 19 is
-2 + (n - 1) 7.
What is an arithmetic sequence?It is a sequence where the difference between each consecutive term is the same.
Example:
2, 4, 6, 8, 10 is an arithmetic sequence.
We have,
-2, 5, 12, 19
This is an arithmetic sequence.
The first term.
a = -2.
The common difference.
d = 5 - (-2) = 7
= 12 - 5 = 7
= 19 - 12 = 7
Now,
The nth term of an arithmetic sequence.
= a + (n -1)d
= -2 + (n - 1)7
Thus,
The explicit rule is -2 + (n -1) 7.
Learn more about arithmetic sequence here:
https://brainly.com/question/10396151
#SPJ1
Type the correct answer in each box. Use numerals instead of words.
For linear functions v and w, v(10) = 12, and w(10) = 9.
(V+ W)(10) =
(V-W)(10) =
(VW)(10) =
Answer:
21
3
108
Step-by-step explanation:
(V+ W)(10) = 12 + 9 = 21
(V-W)(10) = 12 - 9 = 3
(VW)(10) = 12 * 9 = 108
Jill had -$100 in her bank account in March. Jill then added $75 to her account in April.
What was the change in Jill's bank account for March and April combined?
How much did she have in her account at the end of April?
y=-2x + 11 and y= 4x + 2
(Answer for 100 brainlist!!)
Just solve the x value for the frist equation and the y value for the secound equation
x=-1.5
y=8
the answer is in the picture below
PLZZ HELPP RATIONALL OR NOTTTT
Answer:
1. [tex]\sqrt{7}[/tex]
2. The square root of an imperfect square
Step-by-step explanation:
A rational number is any number that can be written as a fraction (with the numerator and denominator being integers). All terminating and repeating decimals are rational.
The square root of an imperfect square is always irrational.
What is the mean? If the answer is a decimal, round it to the nearest tenth. 2 -5 9 6 -7 5
Answer:
1.7
Step-by-step explanation:
Adding together all the points, you get 10. 10 divided by 7 is 1.666666667, which rounds to 1.7
What is the value of b? 2(b + 12) = 16
Answer:
The answers is 2b+24=16
Step-by-step explanation:
Multiply using the distributive property can I please have a brainless thank you and have a good afternoon
Answer:
B= -4
Step-by-step explanation:
2 x -4 = -8
2 x 12 = 24
24 - 8 = 16
About 3/4 of a person weight is water. If a student weighs 100 lbs, how much of his weight is water
Answer:
75 of his weight is water
Step-by-step explanation:
3/4 * 100
3 * 100/4
3 *25
The answer is 75
Answer: 75 pounds
Step-by-step explanation: yous start by dividing the students weight into fourths. One-hundred divided by four is 25. But we need to find three fourths so ties 25 by three you get 75
-Damien Kubinec
If c = 25 and B = 50 degrees, find a.
Answer:
25........................
Solve for x: 3(x+6)=21. A)1 B) 5 C)9 D) 13
Answer:
[tex]\boxed {\boxed {\sf A. \ x=1}}[/tex]
Step-by-step explanation:
We are given the equation:
[tex]3(x+6)=21[/tex]
We want to solve for x, so we must isolate the variable by performing inverse operations to both sides of the equation.
(x+6) is being multiplied by 3. The inverse of multiplication is division. Divide both sides of the equation by 3.
[tex]\frac {3(x+6)}{3}=\frac{21}{3}[/tex]
[tex](x+6)=\frac{21}{3}[/tex]
[tex](x+6)=7[/tex]
Now 6 is being added to x. The inverse operation of addition is subtraction. Subtract 6 from both sides of the equation.
[tex]x+6-6=7-6[/tex]
[tex]x=7-6[/tex]
[tex]x=1[/tex]
We can test our solution by plugging 1 in for x in the original equation.
[tex]3(x+6)=21[/tex]
[tex]3(1+6)=21[/tex]
[tex]3(7)=21\\21=21[/tex]
This checks out (21 is equal to 21) so we know our answer is x=1.
Answer:
A. X=1Step-by-step explanation:
To solve this problem, you have to use the distributive property.
Isolate the x from one side of an equation.
Distributive property:
[tex]\sf{A(B+C)=AB+AC}[/tex]
First, divide by 3 from both sides of an equation.
[tex]\dfrac{3(x+6)}{3}=\dfrac{21}{3}[/tex]
Solve.
21÷3=7
Rewrite the problem down.
x+6=7
Then, subtract by 6 from both sides.
[tex]\sf{x+6-6=7-6}[/tex]
Solve.
7-6=1
[tex]\Large\boxed{X=1}[/tex]
The solution is x=1, which is our answer.
What is the slope of the line shown below?
AY
10
o
A. 2
(4,8)
B. -2
(2, 4)
C. -4
5
10
15
D. 4
10
The slope of the line is 2.
Option A is the correct answer.
What is an equation of a line?The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
Example:
The slope of the line y = 2x + 3 is 2.
The slope of a line that passes through (1, 2) and (2, 3) is 1.
We have,
From the line,
Coordinates are:(2, 4) and (4, 8)
Now,
(2, 4) = (a, b) and (4, 8) = (c, d)
Slope.
= (d - b) / (c - a)
= 8 - 4 / 4 - 2
= 4 / 2
= 2
Thus,
The slope of the line is 2.
Learn more about equation of a line here:
https://brainly.com/question/23087740
#SPJ7
please help: solve for x
Step-by-step explanation:
in an isoceles triangle (both legs have identical length) the height from the top corner to the baseline shots the baseline into 2 identical halves.
so,
6x + 6 = 9x - 15
6 = 3x - 15
21 = 3x
x = 21/3 = 7
many greetings to your teacher from me : he/ she made a formal mistake. the angles at Y have to be indicated as right angles. because if the line WY is not the height but could have any angle with the baseline, this cannot be solved.
Sam made 60 gallons of paint by mixing 24
gallons of green paint with 36 gallons of blue
paint.
What part of every gallon is
from green paint?
Answer:
40% of every gallon is from green paint.
Step-by-step explanation:
Given that Sam made 60 gallons of paint by mixing 24 gallons of green paint with 36 gallons of blue paint, to determine what part of every gallon is from green paint the following calculation must be performed:
60 = 100
24 = X
24 x 100/60 = X
2,400 / 60 = X
40 = X
Therefore, 40% of every gallon is from green paint.
guys please help i'm stup!d
Answer:
Option B: 0.4
Step-by-step explanation:
We have 20 dots.
Such that each column represents the repetitions for each proportion.
So:
0.1 -> 3 times
0.2 -> 1 time
0.3 -> 4 times
0.4 -> 6 times
0.5 -> 3 times
0.6 -> 3 times
Now we can compute the mean of these values, and that will be the best estimation we can make with the given data.
Remember that for a set of N values:
{x₁, x₂, ..., xₙ}
The mean is:
[tex]M = \frac{x_1 + x_2 + ... + x_n}{N}[/tex]
In this case we have the set of 20 points described above, then the mean is:
[tex]M = \frac{3*0.1 + 1*0.2 + 4*0.3 + 6*0.4 + 3*0.5 + 3*0.6}{20} = 0.37[/tex]
Rounding to the first place after the decimal point, we get:
M = 0.4
Then the correct option is option B.
Jane set up a lemonade stand to sell lemonade. The total cost of making the lemonade was $1.50. She sold each cup of lemonade for $0.25. Enter an equation that can be used to find the number of cups of lemonade, x, Jane sold if her earnings were $9.75 after paying out the cost of the lemonade x=
You are running a concession stand at a football game. You are selling snacks and sodas. Each order of nachos costs $2 and each soda costs $1.50. At the end of the night, you made a total of $125. You sold a total of 76 nachos and sodas combined. You must report the number of nachos sold and the number of sodas sold. What equations did you use to solve this
The equations are n + s = 76 and 2n + 1.50 s = 125.
let n = number of Nachos sold
let s = number of sodas sold
Two equations are presented to us, and we can use them together to solve one variable at a time.
Eq. 1: n + s = 76
Eq. 2: 2n + 1.50 s = 125
So, s = 76 - n
Put (76 - n) for s in the second equation
2n + 1.50 (76 - n) = 125
2n + 114 - 1.50 n = 125
2n - 1.50 n + 114 = 125
0.5n + 114 = 125
0.5n = 125 - 114
0.5n = 11
n = 22
s = 76 - 22
s = 54
22 nachos sold and 54 sodas sold.
To learn more about equations here:
https://brainly.com/question/29657983
#SPJ4
What is the probability that this year's graduation will fall on the birthday of exactly one of the 68
Seniors? What is the probability that there is more than one such Senior?
As a result, there is a 0.1863 chance, or 18.63% probability , that one of the 68 seniors who will graduate this year will graduate on their birthday.
How does probability work?fundamentals of probability A probability is a numerical representation of the likelihood or possibility of an event occurring. Probabilities can be expressed as proportions with a 0–1 range or as percentages with a 0%–100% range.
Here,
The likelihood that one of the 68 seniors graduating this year will have their birthday coincide with graduation day is given here.
As a result, this issue can be modeled using a binomial probability model with a success chance of 1/365.
Given: The likelihood of exactly 1 success after 68 attempts.
=> P(x=1) = 68!/ (68-1)! * 1/365
=> 68/365
= > 0.1863
As a result, there is a 0.1863 chance, or 18.63%, that one of the 68 seniors graduating this year will have their birthday coincide with the commencement.
To know more about probability , visit
https://brainly.com/question/30034780
#SPJ1
Solve the problem as directed. The force F of attraction between two bodies varies jointly as the weights of the two bodies and inversely as the square of the distance d between them. Express this fact as a variation using c as a constant. Use M1 and M2 for the weights of the two bodies.
Therefore, F = c * M1 * M2 / d^2 when the force F of attraction between two bodies varies jointly as the weights of the two bodies and inversely as the square of the distance between them using the C constant.
What is the distance?Distance is the sum of an object's movements, regardless of direction. Distance may be defined as the amount of space an item has covered, regardless of its beginning or finishing position.
What is direction?Direction is characterized as the course that anything follows, the route that must be taken to go to a certain location, the direction in which something is beginning to take shape or the direction you are facing.
F = c * M1 * M2 / d^2
Where,
F is the force of attraction,
M1 and M2 are the weights of the two bodies,
d is the distance between the two bodies,
and c is the proportionality constant.
To know more about Forces visit: https://brainly.com/question/13191643
#SPJ4
Which number sentence is true?
given the regular polygon what is the measure of each numbered angle
will mark brainliest
70 points
Answer:
It would be answer A.
Step-by-step explanation:
I used basic analysis.
I looks at the angles and choose which answer looked like it would best fit the angles.
There are 32 females cast in the school play. The ratio of male roles to female roles is 3:8. How many males are cast in
the school play?
Answer:
12
Step-by-step explanation:
32×3/8
.................
Can anyone be my todor im 12 in 7th grade i need help with math?
Answer:
I can help you for free if you want!
Step-by-step explanation:
I'm in 11th grade, so I know most 7th-grade math things.
Write each expression with a single exponent:
Answer:
10^1410^2710^1810^610^610^35Step-by-step explanation:
with raising an exponent to the power of another exponent all you need to do is multiply the exponents.
the base remains the same.
I need help with this bc i dont understand it can somebody help me plzzzzz i'll give you 40 points for it!!!! And name you brainly!!!!!!!
Answer:
8.79 in
Step-by-step explanation:
23 = 150/360 × 2×3.14× r
23 = 5/12 × 6.28 x r
23 = 31.4×r / 12
31.4 r = 23×12
31.4 r = 276
r = 276/31.4
r = 8.79 in
\frac { 32 x ^ { 2 } } { y } + \frac { 108 y ^ { 2 } } { x } y 32x 2 + x 108y 2
Therefore , the solution of the given problem of fraction comes out to be 4((2x)³ + (3y)³) /xy.
What exactly is a fraction?To represent a whole, divide it into any number of comparable parts, or fractions. How many units of a particular size there are is expression using fractions in standard English. 8, 3/4. Parts of a whole are included. Numbers in mathematics are stated as a ratio of the fraction to the denominator. These are each simple fractions that represent an integer. A fraction is contained in the exponent or population of a complicated fraction. When a fraction is true, its numerators are less than its denominators. An amount that makes up a fraction of a whole is called a fraction. You can assess the whole by dissecting it into smaller pieces. For instance, 12 is used to denote half of a total number or item.
Here,
Given : 32x²/y + 108y²/x
=> (32x³+ 108y³ ) /xy
=> 4(8x³ + 27y³) /xy
=> 4((2x)³ + (3y)³) /xy
Therefore , the solution of the given problem of fraction comes out to be
4((2x)³ + (3y)³) /xy.
To know more about fraction visit:
brainly.com/question/10354322
#SPJ1
Can some one help me with this question its hard :( down below ill give brainliest
i’m not sure how to find the slope of the lines
Answer:
Step-by-step explanation:Select any two random points on the graph of the line (preferably with integer coordinates).
Label them as A and B (in any order).
Calculate the "rise" from A to B. While going vertically from A to B, if we have to go
"up", then the rise is positive;
"down", then the rise is negative.
Calculate the "run" from A to B. While going horizontally from A to B, if we have to go
"right", then the run is positive;
"left", then the run is negative.
Now, use the formula: slope = rise/run.
favorite song? i like Liquid Smooth and Freaks
Answer:
Clouds, Sweater Weather, and Bestfriend also So what.
Post Malone Radio.