Bryan completed a 100-meter race in 11.74 seconds. Luis completed the same race in 11.69 seconds. What was the difference between their times, expressed as a fraction of a second?

Answers

Answer 1

Answer:

[tex]\frac{1}{20}[/tex] of a second

Step-by-step explanation:

We can convert each time into fractions.

11.74 is the same thing as [tex]11 \frac{74}{100}[/tex]

and 11.69 is the same thing as [tex]11 \frac{69}{100}[/tex].

We know that 11 - 11 = 0, so we can focus on the fractions for now.

Let's subtract [tex]\frac{69}{100}[/tex] from [tex]\frac{74}{100}[/tex].

[tex]\frac{74}{100} - \frac{69}{100} = \frac{5}{100}[/tex].

We can now simplify [tex]\frac{5}{100}[/tex] by dividing both the numerator and denominator by 5.

[tex]\frac{5\div5}{100\div5} = \frac{1}{20}[/tex].

Hope this helped!


Related Questions

HELPPPPPOPP ASAPPPPPPPPP PLEASSSEEEEEEE

Answers

Answer:

-11 - 5z = 6(5z + 4)

-11 - 5z = 30z + 24

-35 = 35z

z = -1

0 = -5y - 2y

5y = -2y

5 = -2

no solutions

1. Define sets

2. What are the types of sets?

3. What are the operations used on sets?​

Answers

Answer:

Set is a collection of specified object.The types of set are Finite Set. A set which contains a definite number of elements is called a finite set. ...

Infinite Set. A set which contains infinite number of elements is called an infinite set. ...

Subset. ...

Proper Subset. ...

Universal Set. ...

Empty Set or Null Set. ...

Singleton Set or Unit Set. ...

Equal Set.

The operation used on sets are. 1 Intersection 2.Union 3.Difference 4.Compelement

Mrs. Applebaum goes to the supermarket to buy a box of cereal. She has a coupon for 35 cents off. The original
price is $4.73. How much does she need to pay for the cereal?
O $1.23
O $4.38
$4.48
O $5.08
HELPP

Answers

Answer:

4.73 - 0.35 = 4.38. Mrs Applebaum needs to pay $4.38

Step-by-step explanation:

Answer:

$4.38

Step-by-step explanation:

$4.73 is the full price. She has a coupon for 35 cents OFF which means you have to subtract .35 from 4.73. 4.73 - .35 = 4.38

Find the discriminant of the quadratic equation x2 + 10x + 24 = 0 and use it to determine the number and types of solutions. b2 − 4ac

Answers

Answer:

Step-by-step explanation:

x² + 10x + 24 = 0

Discriminant = 10² - 4×1×24 = 4

The discriminant is positive, so there are two distinct, real solutions.

Answer:

The answer is C) 4; Two real solutions.

Step-by-step explanation:

x2 + 10x + 24 = 0 in the function  

x2 resembles a

10x resembles b

24 resembles c

so, let's convert.

b2-4ac

(10) ^2 - 4(1)(24)

100 - 96

= 4


What the answer now

Answers

Answer:

Area of the triangle = 98.1 km²

Step-by-step explanation:

In the given triangle WXV,

m∠W + m∠X + m∠V = 180°

m∠W + 119° + 34° = 180°

m∠W = 180° - 153°

m∠W = 27°

By applying Sine rule in the given triangle,

[tex]\frac{\text{SInW}}{\text{XV}}=\frac{\text{SinX}}{\text{WV}}[/tex]

[tex]\frac{\text{SIn27}}{\text{XV}}=\frac{\text{Sin119}}{26}[/tex]

[tex]XV=\frac{26\times (\text{Sin27})}{\text{Sin119}}[/tex]

XV = 13.496 km

Area of the ΔWXV = [tex]\frac{1}{2}(\text{WV})(\text{XV})(\text{SinV})[/tex]

                               = [tex]\frac{1}{2}(26)(13.496)(0.55919)[/tex]

                               = 98.109

                               ≈ 98.1 km²

Find the measure Of PR

Answers

Answer:

18

Step-by-step explanation:

The formula for this is a x b = c x d where a is SR, b is FR, c is QR and d is PR. This will give us the equation 9(16) = 8(5x + 8); 144 = 40x + 64; 80 = 40x; x = 2. Now, plug this into PR which will be 5(2)+8 = 18. This is your answer.

Jessie brought 3 1/5?cups of water on
a hike. If he drinks 2/5 cup of water
each hour, how many hours will he
have water for?

Answers

Answer:

8 hours

Step-by-step explanation:

3 1/5 cups, he drinks 2/5 cups every hour

to find the number of hours he has water for, divide the 2 numbers

3 1/5 = 16/5

16/5 divided by 2/5 is equal to 16/5 times 5/2

80/10 equals 8, so he will have water for 8 hours

3/5 divided by 3/15 equals

Answers

Answer:

3/25

Step-by-step explanation:

3/5 *3/15

9/75

Simplified 3/25

Answer:

3

Step-by-step explanation:

3/5 ÷ 3/15

=> 3/5 x 15/3

=> 3/5 x 5

=> 3

What is the simplified form of 4x−2(3y)−3?

Answers

Answer:

4x - 6y -3

Step-by-step explanation:

4x−2(3y)−3

Distribute

4x - 6y -3

Answer:

4x−6y−3

Step-by-step explanation:

All you really have to do is multiply -2 time 3y and  thats it.

Non right angled triangle

Answers

Answer:

18.06

Step-by-step explanation:

law of cos()

b^2 = (16.5)^2 + (17.1)^2 - 2(16.5)(17.1)cos(65)

[tex]\frac{3\sqrt{2}\sqrt{-3135\cos \left(65^{\circ \:}\right)+3137}}{10}\quad \begin{pmatrix}\mathrm{Decimal:}&18.06035\dots \end{pmatrix}[/tex]

Write the area A of an equilateral triangle as a function of the length s of its sides.

STEP 1: Find the base of the equilateral triangle in terms of s.

STEP 2: The height of an equilateral triangle can be found via the Pythagorean theorem. Use this information to find h in terms of s.

Answers

Write the area A of an equilateral triangle as a function of the length s of its sides. Draw the triangle; label each side "2s". Draw the altitute; it will bisect the base into s and s. ... Therefore, the area is equal to the measure of the bisected side times the measure of the altitude, quantity divided by 2.

HOPE SO IT HELPS YOU

Answer:

Step-by-step explanation:

Part A

Each side including     the base is s.

Part B

Use 1/2 the base to find the height. The height meets the base at 90 degrees which gives you the right to use c^2 = b^2 + a^2

The hypotenuse is s

The base is 1/2s

h^2 = s^2 - (1/2s)^2

h^2 = s^2 - 1/4 s^2

h^2 = 3s^2/4

h = sqrt(3)/2 *s

Area = 1/2 * s * sqrt(3)/2 s

Area = 1/4 * s^2 * sqrt(3)

Herbert has sold 92, 28, 83 and 75 suits in the last four months, respectively. How many suits will he need to sell this month to maintain an average of at least 71 sales per month? ​

Answers

Answer: 77 suits

Step-by-step explanation:

Let sales of this month = x

Sales for last 4 months = 92, 28, 83, 75

Average = Sum of Observation ÷ No of Observation

Now, we can form an equation

(92+28 +83+75+x) ÷ 5 =71

(92+28 +83+75+x) = 71 × 5

278 + x = 355

x = 355 - 278

x = 77

4 month



Find the average of last 4 month
Find mean
Sum of Numbers divided by the count of numbers

92+ 28+ 28 +75 divided 4
278 divided by 4
69.5

If 4month = 69.5
x. =. 71

Cross multiply

69.5x =71 *4
69.5x.= 284
Divide both side by x
x= 284 / 69.5
x= 4.08 to whole number
x = 4 months

please help the ones that are circled

Answers

Answer:

Step-by-step explanation:

For number 11)

[tex]\frac{x+3}{4} = 1[/tex] cross multiply expressions

4 = 3+x subtract 3 from both sides

1 = x

for number 14)

[tex]\frac{x+8}{12} = 1[/tex] cross multiply expressions

x+8 = 12 subtract 8 from both sides

x = 4

for number 16)

[tex]\frac{8+x}{3} = 10[/tex] cross multiply expressions

8+x = 30 subtract 8 from both sides

x = 22

for number 19)

[tex]\frac{-9 + b}{32} = -1[/tex] cross multiply expressions

-9 + b = -31 add 9 to both sides

b = -22

Find the value of tetha in 2 cos 3 tetha = 1

Answers

Answer:

Step-by-step explanation: 2cos3 theta=1. Cos 3theta=1/2. Since cos 60°= 1/2. Therefore cos 3theta=cos 60°. Theta=20°.

can we chat girl in comment

2(cos 3theta) = 1
Cos 3theta = 1/2 = cos(60)
Theta = 60/3 = 20

Please help quick pleaseeeeeeeeeeee

Answers

Answer:

think this one

Step-by-step explanation:

the answers there

i think

convert six yard to feet

Answers

Answer:

18 feet

Step-by-step explanation:

To convert : multiply the length value by 3

=> 6 x 3

=> 18 feet

a circular hall has a hemispherical roof. the greatest height is equal to the internal diameter .if the capacity of the hall is 43510 m^3 ,then the area of the floor is​

Answers

This building is basically a cylinder with a hemisphere on top. Let d be the diameter of the hemispherical roof. This is also the height of the entire building as the greatest height is this value (which is located at the center of the building)

The hemisphere itself is r = d/2 meters high, which is the radius of the roof. The cylinder portion's height must be d - r = d - d/2 = 2d/2 - d/2 = d/2 = r meters. So basically the cylinder and the hemisphere both have the same height of r.

At the same time, the cylinder and hemisphere also have the same radius r, or else the roof wouldn't fit on the cylinder.

------------------------------

Volume of cylinder = pi*r^2*h = pi*r^2*r = pi*r^3

Note how I replaced h with r and simplified.

Also,

Volume of hemisphere = (1/2)*(volume of sphere)

Volume of hemisphere = (1/2)*( (4/3)*pi*r^3 )

Volume of hemisphere = (2/3)*pi*r^3

------------------------------

Add the two volume expressions

total volume = (volume of cylinder) + (volume of hemisphere)

total volume = (pi*r^3) + (  (2/3)*pi*r^3 )

total volume = (3/3)pi*r^3 + (2/3)pi*r^3

total volume = (5/3)pi*r^3

------------------------------

Set this equal to 43510 and solve for r

(5/3)pi*r^3 = 43510

pi*r^3 = (3/5)*43510

pi*r^3 = 26106

r^3 = 26106/pi

r = (26106/pi)^(1/3)

r = 20.2549023450428

The building has a radius of approximately 20.2549023450428 meters

------------------------------

We can now compute the area of the circular floor

area = pi*r^2

area = pi*(20.2549023450428)^2

area = 1,288.87316044698

Answer: approximately 1288.87316044698 square meters

Round this however you need to

The radius of a circle is 16 ft. Find its area in terms of pi

Answers

Step-by-step explanatio

what is the value of digit 9 in 3.45×0.27×0.3 ? ​

Answers

Answer:

[tex]\boxed{\pink{0.27945}}[/tex]

Step-by-step explanation:

[tex]3.45 \times 0.27 \\ = 0.9315 \times 0.3 \\ = 0.27945[/tex]

Answer: thousandths place

Step-by-step explanation:

                                      ↓

3.45 x 0.27 x 0.3 = 0.27945

                                     

The place values to the right of the decimal point are:

one to the right (2): tenths

two to the right (7): hundredths

three to the right (9): thousandths

four to the right (4): ten thousandths

five to the right (5): hundred thousandths

Finance A bicycle shop hires road bikes for £25 per day and tandems for £40 per day. One day a family pays £155.
a Which type of bicycles did they hire?
b How many people are in the family?

Answers

Answer:

3 road bikes and 2 tandems

7 people

Step-by-step explanation:

25b + 40t = 155

b=3   and t = 2

Check

25*3  + 40*2 = 155

75+80 = 155

Assuming 1 person per road bike and 2 people per tandem

3*1 + 2*2 = 3+4 = 7

Teacher Thomas did a survey of primary 6 students to find out how the students go to school.the result are down. given that 110 student go to school by train, how many students go to school by bus? THE RESULT
BUS 140*
CAR 67.2*
CYCLE 44.8*
walk 20*
train 88*

Answers

Answer:

(88°/360°) * total number of students= 110

88x=39600

x=450 students

x is the total number of students

(140/360)*450=175 students going by bus

if u like my answer mark as brainliest

Find the coordinates of point G that lies along the directed line segment from F(-1, -1) to H(-8, 20) and partitions the segment in the ratio of 5:2.

Answers

Answer:

coordinates of point g is ( -6, 14)

Step-by-step explanation:

The coordinates of the point which divides the point (x1,y1) and (x2,y2) in m:n ratio is given by (nx1+mx2)/(m+n), (ny1+my2)/(m+n).

___________________________________________

given point

F(-1, -1) to H(-8, 20)

ratio : 5:2

the coordinates of point g is

(2*-1+5*-8)/(5+2), (2*-1+5*20)/(5+2)

=> (-2 -40/7 , -2+100/7)

=> (-42/7, 98/7)

=>( -6, 14)

Thus ,  coordinates of point g is ( -6, 14)

Which equation represents a population of 300 animals that decreases at an annual rate of 23%? A. p=300(1.23)t B. p=300(1.77)t C. p=300(0.77)t D. p=300(0.23)t

Answers

For a given initial quantity A, a decrease of x% can be written as:

A - A*(x%/100%) = A*(1 - x%/100%)

With this, we need to construct an exponential decrease equation for the given situation, and we will find that the equation is:

P(t) = 300*(0.77)^t

Now let's see how we found that.

In this case, we know that:

The initial number of animals is 300.

They decrease at an anual rate of 23%.

This means that after the first year, the population will be:

P(1) = 300 - 300*(23%/100$) = 300*( 1 - 0.23) = 300*(0.77)

After another year, the population decreases again, so we get:

P(2) = 300*(0.77) - 300*(0.77)*(23%/100$) = 300*(0.77)^2

Here we already can see the pattern, the population in the year t, we will get:

P(t) = 300*(0.77)^t

Then we can see that the correct option is C.

If you want to learn more, you can read:

https://brainly.com/question/16993154

If sin Θ = 5 over 6, what are the values of cos Θ and tan Θ?

Answers

Answer:

Check explanation

Step-by-step explanation:

Sin∅=5/6

Opp=5. Hyp=6

Adj= (√6²+5²)

= √11

Cos∅=(√11)/6

Tan∅=5/(√11)

Answer: cos(theta) = sqrt(11)/6 ; tan(theta)=5/sqrt(11).

Explanation:
sin inverse is restricted to the first and fourth quadrant, so the other side of the triangle is positive sqrt(11) by the Pythagorean theorem.

Can someone please help me!

Answers

Answer: Pretty sure that it's y=-5/3x+8

Step-by-step explanation: Since the slope-intercept form is y=mx+b with b as the y-intercept and m as the slope. b would be 8 since that's where the line intercepts the y-axis and the slope is -5/3 (negative bc the line is slanted down)

Answer:

y = - [tex]\frac{8}{5}[/tex] x + 8

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, 8) and (x₂, y₂ ) = (5, 0 ) ← 2 points on the line

m = [tex]\frac{0-8}{5-0}[/tex] = [tex]\frac{-8}{5}[/tex] = - [tex]\frac{8}{5}[/tex]

The line crosses the y- axis at (0, 8 ) ⇒ c = 8

y = - [tex]\frac{8}{5}[/tex] x + 8 ← equation of line

What property is demonstrated here? (3x-5) x 4 = 3 x (-5 x 4) A) commutative property of addition B) associative property of multiplication C) commutative property of multiplication D) associative property of addition (haven't learned this yet so I have no clue)

Answers

Answer:

B) Associative Property of Multiplication

Step-by-step explanation:

*if it's wrong idk how, but I apologise*

what is the average of x, 2x and 6​

Answers

Answer:

Hope it will help you :)

Step-by-step explanation:

The angle \theta_1θ 1 ​ theta, start subscript, 1, end subscript is located in Quadrant \text{I}Istart text, I, end text, and \sin(\theta_1)=\dfrac{1}{2}sin(θ 1 ​ )= 2 1 ​ sine, left parenthesis, theta, start subscript, 1, end subscript, right parenthesis, equals, start fraction, 1, divided by, 2, end fraction . What is the value of \cos(\theta_1)cos(θ 1 ​ )cosine, left parenthesis, theta, start subscript, 1, end subscript, right parenthesis?

Answers

Answer:

√3/2

Step-by-step explanation:

Given an angle θ₁ located on in the first quadrant and sinθ₁ = 1/2, we are required to calculate the value of cosθ₁.

Firstly, we need to find the value of the angle θ₁ from the expression sinθ₁ = 1/2.

Given sinθ₁ = 1/2

Take the arcsin of both sides

arcsin(sinθ₁) = arcsin(1/2)

The arcsin will cancel out the sin at the left hand side to have only θ₁. Hence;

θ₁  = arcsin(1/2)

Using the calculator, θ₁ = 30°

Since we are to find the value of cosθ₁

cosθ₁ = cos30°

cos30° = √3/2

Hence the value of cosθ₁ is √3/2

Answer:

60/61

Step-by-step explanation:

60/61

khan. #gayrights

in a group140 pupils 5/7 like swimming while the rest like football .find the fraction of the pupils who like football

Answers

Answer:

[tex]{ \sf{ \underline{it \: is \: \frac{2}{7} }}}[/tex]

Step-by-step explanation:

[tex] = \frac{7}{7} - \frac{5}{7} \\ \\ = \frac{2}{7} [/tex]

Which of the functions below is not exponential or logarithmic?

Answers

Answer:

f(x) = 5x² + 3

Step-by-step explanation:

Exponential Function: [tex]a(b)^x+c[/tex]

Logarithmic Function: [tex]alog_bx+c[/tex]

5x² + 3 is a quadratic function. Therefore, it is not an exponential or logarithmic function and is incorrect.

log₅x is a logarithmic function. Therefore, it is correct.

5log₃x + 3 is a logarithmic function. Therefore, it is correct.

5ˣ + 3 is an exponential function. Therefore it is correct.

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