Steve can complete 100m dash in 10 seconds paul can run it in 12 seconds how does their times compare?

Answers

Answer 1

Steve is 1.2 times faster than Paul.

What is a ratio?

The quantitative relationship between two values indicating how frequently one value is contained within the other.

For example: Speed = Distance / Time

Total distance covered by both Steve and Paul = 100m

Total time taken by Steve = 10s

Steve's speed = 100 / 10 = 10m/s

Total time taken by Paul = 12s

Paul's speed = 100 / 12 = 8.33m/s

Ratio of Steve's speed to Paul's speed = 10 / 8.33 = 1.2

Hence we can say that Steve is 1.2 times faster than Paul.

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Related Questions

NEED HELP ASAP!!!!!!!!
PLEASE

For which set of data are the median and mode the same number?
(A) 4, 5, 7, 8, 9, 9
(B) 4, 5, 7, 7, 8, 10
(C) 3, 5, 6, 8, 8, 9
(D) 5, 5, 6, 8, 9, 10

Answers

Answer:

b

Step-by-step explanation:

Express a) 36 b) 80 as sum of two prime numbers

Answers

⊱________________________________________________________⊰

Answer:

See below.

Step-by-step explanation:

[tex]\large\begin{gathered} \sf{36=19+17. 19 \ and \ 17 \ are}\\ \sf{\ both \ primes, \ because \ they're \ only \ divisible \ by \ 1 \ and \ themselves} \\ \sf{ 80=73+7. \ Again, \ 73 \ and \ 7 \ \underline{ARE} \ prime. \end{gathered}}[/tex].

Done!!

⊰________________________________________________________⊱

Cαlligrαphy

In which year did Eugene, Oregon have the greatest difference between high and low temperatures in November?

A)November 2009
B)November 2010
C)November 2011
D)November 2008

Answers

I believe the answer is A) November 2009

change the unit of weight 1,000 lb =___ t ?

Answers

Answer:

0.5 t

Step-by-step explanation:

Since we know that 2,000lbs=1 t
1,000lbs is half a ton, which makes it 0.5 tons

Find the length of the midsegment .
A.15
B.44
C.22
D.13

Answers

Answer: 22

Step-by-step explanation:

Using the triangle midsegment theorem,

[tex]2(5x+2)=3x+32\\\\10x+4=3x+32\\\\7x+4=32\\\\7x=28\\\\x=4[/tex]

So, the length of the midsegment is 5(4) + 2 = 22

The steps to derive the quadratic formula are shown below:

Step 1 ax2 + bx + c = 0
Step 2 ax2 + bx = − c
Step 3 x2 + b over a times x equals negative c over a
Step 4 x2 + b over a times x plus b squared over 4 times a squared equals negative c over a plus b squared over 4 times a squared
Step 5 x2 + b over a times x plus b squared over 4 times a squared equals negative 4 multiplied by a multiplied by c, all over 4 multiplied by a squared plus b squared over 4 times a squared
Step 6


Provide the next step to derive the quadratic formula. (1 point)

x plus b over 2 times a equals plus or minus b squared minus 4 times a times c all over the square root of 4 times a squared

x plus b over 2 times a equals plus or minus b minus 2 times a times c all over square root of 2 times a

x plus b over 2 times a equals plus or minus the square root of the quantity b squared minus 4 times a times c all over the square root of 4 times a squared

x plus b over 2 times a equals plus or minus the square root of the quantity b squared minus 4 times a times c all over the square root of 2 times a

Answers

Answer: [tex]x+\frac{b}{2a}=\pm \frac{\sqrt{b^2 - 4ac}}{\sqrt{4a^2}}[/tex]

Step-by-step explanation:

We can rewrite the left hand side as a perfect square, more specifically

[tex]\left(x+\frac{b}{2a} \right)^2[/tex]

So, taking the square root of both sides,

[tex]x+\frac{b}{2a}=\pm \frac{\sqrt{b^2 - 4ac}}{\sqrt{4a^2}}[/tex]

5 quick algebra 1 questions for 50 points!


Only answer if you know the answer, shout-out to subtomex0, tysm for the help!

Answers

Q 3 - c -

[tex]x {}^{2} - 8x - 9 = 0 \\ x + y = 8 \\ xy = - 9[/tex]

Two numbers who sum up to 8 and multiply to -9 are: 9 and -1

Q 4 - d -

[tex]g(x) = x {}^{2} - 7x + 12 \\ g(6) = 36 - 42 + 12 = 6 \\ g( - 7) = 49 + 49 + 12 = 110 \\ g( - 3) = 9 + 21 + 12 = 42 \\ g(4) = 16 - 28 + 12 = 0[/tex]

x=4 is a root

These problems can be approached in many ways: completing the square/factoring/using the quadratic formula...

Q 1 - c -h(x)= -2x+10h(0)=10 ( 0 , 10 )h(x)=0x=5 ( 5 , 0 )

Q 5 - True -f(x) = 2x²+3x-2f(x)=02x²+3x+2=0x=-2 x=1/2

Q 4 - 3 is the zero -

b

Answer:

Question 1:The correct answer is C. -1 and 9

Question 2: The correct answer is D.4

Question 3: The correct answer is C. The x-intercept of (5,0) and y-intercept of (0,10)

Question 4: The correct answer is B. True

Question 5: The correct answer is b.

Try it
Which graph represents the function h(x) = 5.5|x]?
LIV
-2
2 4
-4-2
Intro
2
-4-2
O
2 4
-4-2
2

Answers

[tex]take \: some \: values \\ h(1) = 5.5 \times |1| = 5.5 \times 1 = 5.5 \\h(2) = 5.5 \times |2| = 5.5 \times 2 = 11 \\ h(4) = 5.5 \times |4| = 5.5 \times 4= 22[/tex]

It's clearly the second option since the other ones aren't steep enough.

Pauley graphs the change in temperature of a glass of hot tea over time. he sees that the function appears to decrease quickly at first, then decrease more slowly as time passes. which best describes this function?

Answers

Non-linear graph best describes this function.

Why nonlinear?

As described in the question, Pauley graphs the change in temperature of a glass of hot tea over time. He sees that the function appears to decrease quickly at first, then decrease more slowly as time passes. It is linear because the graph decreases over time. It is linear because there is both an independent and a dependent variable but it doesn't satisfies one condition of being linear. Thus, It's Nonlinear because linear functions are increasing functions. It is nonlinear because linear functions increase or decrease at the same rate.

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Answer:

B

Step-by-step explanation:

Eric was rock climbing. At one point, he stopped and climbed straight down 2\dfrac{1}{2}2
2
1

2, start fraction, 1, divided by, 2, end fraction meters. Then he climbed straight up 6\dfrac{3}{4}6
4
3

6, start fraction, 3, divided by, 4, end fraction meters. Eric was wondering what his change in elevation was after these two moves.
Which of the following equations matches the situation above?

Answers

The equation that matches the given situation is [tex]-2\frac{1}{2}+6\frac{3}{4}=?[/tex] . So, after two moves, Eric's elevation changed [tex]4\frac{1}{4}[/tex] meters above.

We know that in mathematics, subtraction means removing something from a group or a number of things. What is left in the group gets smaller when we subtract. The minuend is the first element we use. The subtrahend is the part that is being removed. The difference is the portion that remains after subtraction.

Assume that "negative" means climbing down and "positive" means climbing up. We must locate the elevation change in this area.

Given that Eric climbed straight down [tex]2\frac{1}{2}[/tex] meters. So we can write [tex]-2\frac{1}{2}[/tex].

Again Eric climbed straight up [tex]6\frac{3}{4}[/tex] meters. So, we can write [tex]6\frac{3}{4}[/tex].

Then the change = [tex]-2\frac{1}{2}+6\frac{3}{4}[/tex]

=[tex]-\frac{(2*2+1)}{2}+\frac{6*4+3}{4}[/tex]

=[tex]-\frac{5}{2} +\frac{27}{4}[/tex]

=[tex]\frac{-(5*2)+27}{4}[/tex]

=[tex]\frac{-10+27}{4}[/tex]

=[tex]\frac{17}{4}[/tex]

=[tex]\frac{4*4+1}{4}[/tex]

=[tex]4\frac{1}{4}[/tex]

Therefore, the equation that matches the given situation is [tex]-2\frac{1}{2}+6\frac{3}{4}=?[/tex] . So, after two moves, Eric's elevation changed [tex]4\frac{1}{4}[/tex] meters above.

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I need help with this math question

Answers

Answer:

D = 12

Step-by-step explanation:

Side ST is corresponding to side QT. 9" / 3" = 3

3 is the proportion between the two triangles.

Side PT is the corresponding side to side RT.

PT = 4" x 3 = 12"

The question is already stated on the picture.

Answers

The central angle is 77 degrees mate.

A measure of the strength of the relationship between two variables is referred to as the.

Answers

A statistical indicator of the strength of the association between the relative movements of two variables is the correlation coefficient.

To gauge how strongly two variables are related to one another, correlation coefficients are used.

A statistical indicator of the strength of the association between the relative movements of two variables is the correlation coefficient. The values are in the -1.0 to 1.0 range. There was a measurement error in the correlation if the estimated value was larger than 1.0 or lower than -1.0. Perfect negative correlation is shown by a correlation of -1.0, and perfect positive correlation is shown by a correlation of 1.0. A correlation of 0.0 indicates that there is no linear link between the two variables' movements. Finance and investing can benefit from the usage of correlation statistics.

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Which could be used to evaluate the expression negative 6 (4 and two-thirds)? (negative 6) (4) (negative 6) (two-thirds) (negative 6) (4) times (negative 6) (two-thirds) (negative 6 4) (negative 6 two-thirds) (negative 6 4) times (negative 6 two-thirds)

Answers

Hence, the required expression is (Negative 6) (4) + (negative 6) (two-thirds).

What is an expression?

expression is a combination of numbers, variables, and functions (such as addition, subtraction, multiplication or division etc.). This math operation can be addition, subtraction, multiplication, or division. The structure of an expression is: Expression is (Number/Variable, Math Operator, Number/Variable)

How to solve?

LHS,

    (-6)([tex]\frac{14}{3}[/tex]) = -28

RHS,

   (-6)()[tex]4+\frac{2}{3}[/tex]) = -28

LHS=RHS

Hence, the required expression is (Negative 6) (4) + (negative 6) (two-thirds).

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Calculate the area of triangle OPQ.

Answers

Thus, we need information about the sides OQ and PQ to solve the triangle and find the area. The information given is not enough to determine the area of the triangle.

Is this triangle solvable?

In this question we must analyze if the area of the triangle OPQ can be found by all information given. By the law of the cosines we understand that lengths of two sides and the measure of an angle should be known to construct a triangle and by the law of the sines we understand that either two angles and a side or two sides and an angle must be known.

Thus, we need information about the sides OQ and PQ to solve the triangle and find the area. The information given is not enough to determine the area of the triangle.

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I need answer fast!!
3. Write the rule that describes the second transformation. (5 points)

Answers

The rule that describes the second transformation is; Rotated at 90° clockwise

How to Interpret Transformations?

From the given diagram we can see that;

The transformation from Rectangle ABCD to A'B'C'D' follows the transformation sequence of;

Shift 1 unit downwards then translate 5 units to the right.

However, for the transformation of A'B'C'D' to A"B"C"D", we see that the transformation is; Rotated at 90° clockwise

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In the falcon's nest ice cream cost 20 cents. if the school pays 15 cents, what percent mark-up is it?

Answers

Answer: 25% off

Step-by-step explanation:

1= 0.25 + 0.75

25% is off is the equivalency of multiplying the value of the original cost with 0.75.

20*0.75=15

Classify the polynomial by its degree and number of terms. Select all choices that apply for each polynomial.
(which is correct ??)

Answers

Step-by-step explanation:

The polynomial highest degree is 2 so the degree is 2.

The binomial have three terms so it is a trinomial.

Which of the following could be rewritten as an addition problem of two integers with the same sign?

8 - 10
-8 - 10
-8 + 10
-8 - (-8)

Answers

-8-10
because it can also be written as -8 + -10 instead of -8 - 10

The______is the set of inputs For a fraction

Answers

The set of all input values of a function is the domain of the function

What is a function?

A function relates an input to an output.

A function defines a relationship between one variable (the independent variable) and another variable.

The set of all input values of a function is the domain of the function.

The domain of a function are also called independent variables.

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Evaluate 43 – 3m for m = 6.

Answers

Step by step explanation:
Original Equation: 43 - 3m; m = 6
Substitute 6 in for m
43 - 3(6)

Multiply 3*6
43 - 18

Subtract 43 - 18
25

Your answer is: 25

Answer:

= 43 - 3×6= 43 - 18

Therefore , 25 ans.

Joe ordered a large cake for his brothers. He gave 1 out of 12 of the cake to David, 5 out of 12 of the cake to John, and 2 out of 12 of the cake to Ali. He ate the remaining cake himself. What fraction of the whole cake did Joe eat?

Answers

He ate 4/12 slices, simplified which is 1/3 of the cake or 0.3 repeating

Answer: 4/12 or 1/3

Step-by-step explanation:

A whole cake is 12/12.

He gave away 1/12, 5/12, and 2/12s of the cake

1+5+2 = 8

So he gave out 8/12s of the cake, which means he has 4/12 left, or 1/3 if you want simplest form.

Hope this helps.

Given the following linear function sketch the graph of the function and find the domain and range. f( x ) = 2/7 x− 2

Answers

Answer:

Domain: All Real Numbers Range: All Real Numbers

Step-by-step explanation:

The domain and range is going to be infinite. The linear function will be using the x and y- axis in order to continue being a function. The y-intercept will be -2 on the y-axis. I recommend using the rise-over-run method for your slope value. from the point (0, -2) on the y-axis. Go up two on the y-axis, and right 7 on the x-axis.

Sorry, it may be difficult to explain through words.

In a large population, 76% of the households have cable tv. A simple random sample of 225 households is to be contacted and the sample proportion computed. What is the mean and standard deviation of the sampling distribution of the sample proportions

Answers

0.017559

It is given that:

Probability of Households Having cable TV, p₀ = 76% = 0.76

Therefore,

The probability that the Households not having cable TV = 1 - 0.76 = 0.24

Sample size, n = 225 households

sample proportions is less than 82% i.e p = 0.82

Now,

The standard error, SE = [tex]\sqrt{} \frac{0.76(1-0.76)}{225}[/tex]

= 0.02847

Z = [tex]\frac{0.82-0.76}{0.02847}[/tex]

Z = 2.107

therefore, P(sample porportions < 0.82) = P(Z < 2.107)

now from the p value from the Z table we get P(sample porportions < 0.82) =  0.017559

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Give the outcomes for each of the following events.

Answers

(a){ 4 , 6 , 8 }(b) { 2 , 4 , 5 , 6 , 7 , 8 }(c){ 1 , 3 }

Compared to continental crust, oceanic crust is:
A. mostly granite
B. more dense
C. All of these
D. thicker

Answers

Answer:

B. more dense

A tire on a car has an outside diameter of 36.30 in. Through what angle​ (in radians) does the tire turn while traveling 1 ​mile?

Answers

Answer: 3491.91 radians

Step-by-step explanation:

The total distance in inches traveled by car = 63,360 inches (1 mile)

Total Revolution made by tire through traveling =

[tex]=\frac{63360}{\pi *36.30}[/tex]

We know 1 revolution angle made by tire = 2π radian (360 degrees/1 revolution of unit circle)

In   [tex]\frac{63360}{\pi *36.30}[/tex] ,

the revolution angle made by the tire =

[tex]=2\pi * \frac{63360}{\pi 36.60}[/tex]

[tex]=2 * \frac{63360}{ 36.60}[/tex]

[tex]= 3491.91[/tex] radian

Question is on the picture:)

Answers

Answer:

Z = 90 degrees

Step-by-step explanation:

Reason is a diameter subtends angle of 90 degrees on the circumference

A pen and a ruler cost $2.10. 2 such pens and 3 such rulers cost $4.90. Find the cost of one ruler.

Answers

The cost of one ruler is $0.70

Applications of simultaneous equations

From the question, we are to determine the cost of one ruler

Let x represent the cost of a ruler

and

y represent the cost of a pen

From the given information, we can write that

y + x = $2.10 ----------- (1)

2y + 3x = $4.90  ----- (2)

From equation (1),

y + x = $2.10

Then,

y = $2.10 - x

Substitute this into equation (2)

2y + 3x = $4.90

2($2.10 - x) + 3x = $4.90

$4.20 - 2x + 3x = $4.90

$4.20 +x = $4.90

x = $4.90 - $4.20

x = $0.70

Hence, the cost of one ruler is $0.70

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What is the length of the hypotenuse of right ΔDEF shown? A) √5041 B) √2545 C) √497 D) √1063

Answers

The length of the hypotenuse of right triangle ΔDEF is 50.44 units

How to find hypotenuse of a right triangle?

The hypotenuse side can be found using Pythagoras theorem,

Therefore,

c² = a² + b²

where

c = hypotenusea and b are the other legs.

Therefore,

x² = 39² + 32²

x² = 1521 + 1024

x = √2545

x = 50.4479930225

x = 50.44

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