Given the speeds of each runner below, determine who runs the fastest.
Ron runs 8 feet per second.
Liz runs 104 feet in 7 seconds.
Katie runs 1 mile in 526 seconds.
Emily runs 835 feet in 1 minute.

Answers

Answer 1

Answer:

Liz

Step-by-step explanation:

lets make all speeds ft/1sec

Ron 8ft/1sec

Liz 104ft/7sec : 104/7=

14.8571428571 ft/1 sec

Katie

1 mile = 5280ft

5280ft/526sec

5280/526=

10.0380228137ft/1 sec

Emily,

1 min= 60 sec

835ft/60 sec

835/60=

13.9166666667 ft/sec

now, lets order from least to greatest

R:8ft/1sec, K:10.0380228137ft/1 sec,

E:13.9166666667 ft/sec, L:14.8571428571 ft/1 sec

Liz's speed is fastest


Related Questions

What is the value of (-1/4 - 1/2) divided by (-4/7)

Answers

Answer: -1.3125

Step-by-step explanation:

(-1/4 - 1/2) = -0.75

-0.75/[tex]\frac{4}{7}[/tex] = -1.3125

can someone please help me understand ?

Answers

Answer:

A: 12cm

B: 90 degrees

C: 60 degrees

Step-by-step explanation:

A. Measure of GH is 1/4 of perimeter of 48 cm

48/4=12

a is 12cm

B.  in a rhombus, diagonals are perpendicular,

FH and EG are perpendicular

So, angles EJF, GJF, GJH, and EJH are all right angles and equal 90 degrees

thus measure of angle EJF is 90 degrees

C.

First lets find the measure of EJF

Since all the inner angles of the triangle add up to 180 degrees,

we can make an equation:

60+90+x=180

150+x=180

x=30

angles EFJ and EHJ are congruent, since opposite angles in a rhombus are congruent,

Also, angles EHJ and GHJ are congruent since the diagonals in a rhomus are angle bisectors

Thus EHJ=30 and GHJ=30

30+30=60

EHG = 60

so answer is 60 degrees

What is the slope of the line that passes through the points ( 4 , − 2 ) (24,−17)? Write your answer in simplest form.

Answers

Answer:

-3/4

Step-by-step explanation:

The slope is given by

m = (y2-y1)/(x2-x1)

   = (-17- -2)/(24-4)

   = (-17+2)/ (24-4)

  = -15/20

  = -3/4

Answer:

y=-3/4x+1

Step-by-step explanation:

An architecture firm makes a blueprint
for a building with scale 1 in. = 8 ft. If
the building's length is 82 feet, what is
the length of the blueprint?

Answers

Answer:10.25

Step-by-step explanation:

which of the following best describes a line

Answers

I would answer, but you didn't give any options.

i would say go for the option that is closes to :

" A line is a straight collection of points that goes on forever in two directions."

the expression y-x equals 0.7 if x and y have certain values. evaluate the following expressions with the same values of x and y

Answers

Answer:

3.5

Step-by-step explanation:

Given: x-y=0.7

Finding: 5(x-y)

So we have that x-y=0.7 meaning that for this equation we only need to multiply 5×0.7 which is 3.5

The answer to the expression is 3.5

How to solve the expression?

In algebra, we are taught that the two rules for solving equations are the addition rule and the multiplication/division rule.

Given:

x - y = 0.7

Finding: 5(x - y)

So we have that x - y = 0.7 meaning that for this equation we only need to multiply 5×0.7 which is 3.5

What is a math expression example?

An example of a mathematical expression with a variable is 2x + 3. All variables ought to have a coefficient, a variety that is multiplied by means of the variable. within the expression 2x + three, the coefficient of x is the variety 2, and its method 2 instances x plus three.

Learn more about the expression here: brainly.com/question/723406

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Please help i am being timed. For every 2 adults there are 7 kids. There are a total of 180 people. How many adults and kids are there out of the 180 total?

Answers

Answer:

40 adults and 140 kids

Step-by-step explanation:

40 adults

pairs of adults= 20

20 x 7kids= 140 kids

40 adults plus 140 kids = 180 total

Answer:

40 adults and 140 kids

Step-by-step explanation:

for every 9 people there are 2 adults and 7 kids

so if there are 180 people in total we would

180 / 9

180 / 9 = 20

so there are 20 groups of 2 adults and 7 kids

40 adults and 140 kids

Solve 11x + 4 = 3x + 52 need this

Answers

______________________________

Hey!!

Solution,

11x+4=3x+52

or,11x-3x=52-4

or,8x=48

or,X=48/8

X=6

So, the answer is 6.

Hope this helps...

Good luck on your assignment

_____________________________

Answer:

11x+4=3x+52

11x-3x=52-4

8x=48

8x÷8=48÷8

x=6

the answer is x=6

The table of values represents the function g(x) and the graph shows the function f(x).

Which statement about the functions is true?
1. f(x) and g(x) are both absolute value functions.
2. f(−2) is greater than g(−2) .
3. f(x) and g(x) intersect at exactly two points.
4. f(x) is greater than g(x) for all values of x.

Answers

Answer:

2 and 3 are true

Step-by-step explanation:

1. Although f(x) is in fact an absolute value function and g(x) never goes below 0, g(x) is not an absolute value function because it does not grow linearly. This is known because, between even x intervals, the y value does not change the same amount.

2. f(-2)=2, and g(-2) is 1, meaning that this statement is in fact correct.

3. For this part, it would probably be a good idea to figure out the equation of both graphs. For g(x), starting at the line of symmetry at x=-3, y is 0, which means that the parabola has not been shifted up or down at all, and that its vertex is at (-3,0). Since it grows at the same rate as the parent function of a parabola, its graph is (x+3)^2. For f(x), you can see that it is an absolute value shifted left 3 and up 1, giving it an equation of |x+3|+1. Now, I've graphed both of them below, and you can see that they intersect at exactly two points, making this statement true.

4. Once again, the graph is helpful here. You can see that although f(x) starts off greater, g(x) with its exponential growth quickly overtakes it. Therefore, this statement is false.

Hope this helps!

Answer:

B and C

Step-by-step explanation:

There are 15 boys and 16 girls in Gabriel’s class. One person is chosenat random. What is the probability that the person chosen to hand out books is a girl?

Answers

Answer:

16/31 or ≈ 52%

Step-by-step explanation:

1. Find the total students in the class.

  15 + 16 = 31

2. Make a fraction (girl/total students)

  16/31

Your answer as a fraction is 16/31. If you have to change it to a percent, you would get around 52%.

Use the substitution method to solve the system of equations

Answers

Answer:

C. (3,2)

Step-by-step explanation:

to begin the substitution method, we can begin by substituting the answer choice value into the given system or equations to determine if the values make the equation true.

the first choice is (2,1)

3(2) + 2(1) = 13

6 + 2 is not equal to 13. Therefore this answer choice is incorrect.

second choice (1,2)

3(1) + 2(2) = 13

3 + 4 is not equal to 13. This answer is also incorrect.

third choice (3,2)

3(3) + 2(2)

9 + 4 = 13 is true!

we can also substitute these x and y values for the equation underneath:

y = x - 1

2 = 3 - 1

2 = 2 is true! Therefore, C. (3,2) is correct!

Please help me with this I will really appreciate it thank you! It’s geometry

Answers

Answer:

150 degrees

Step-by-step explanation:

90+30=120.

Since angle afc is bisected by line bf, that means that the angles formed equal each other. Since the total angle measurement is 180 degrees, we do 180-120=60. 60/2=30. 120+30=150 degrees.

How would you solve this I’m confused

Answers

Answer:

[tex]x=8.5^o[/tex]

Step-by-step explanation:

Notice that since segments AB and DE are parallel, then angles [tex]\angle A[/tex] and [tex]\angle E[/tex] must be equal since they are alternate angles in between parallel lines.

So, [tex]\angle E = 50^o[/tex]. We also know that [tex]\angle C = 45^o[/tex], then the remaining angle ([tex]\angle D[/tex]) in triangle CDE must be such that added to the other two angles results in [tex]180^o[/tex]. That is:

[tex]\angle D = 180^o-\angle C-\angle E\\\angle D = 180^o-45^o-50^o\\\angle D= 85^o[/tex]

Now, since angle D equals 10 times x, we can solve for the unknown x in the equation:

[tex]\angle D=10\,x\\85^o=10\,x\\x=\frac{85^o}{10}\\\\x=8.5^o[/tex]

20) After 8 hours, half of a 16-gram sample of a radioactive element remains. Find the constant k for this element for t hours, then use y=ne^-kt to write the equation for modeling it’s exponential decay
- please help me

Answers

Answer:

k = 0.086

Step-by-step explanation:

We have the equation

y=ne^(-kt)

where y is the amount of radioactive material after t hours, n is the initial amount of radioactive material, and k is some constant.

We know the following data:

t: 8 hoursy = n/2 (half of a radioactive element remains)

Replacing into the equation and solving for k:

[tex]y=ne^{-kt}[/tex]

[tex]\frac{n}{2}=ne^{-k8}[/tex]

[tex]0.5=e^{-k8}[/tex]

[tex]ln(0.5)=ln(e^{-k8})[/tex]

[tex]ln(0.5)=-k8ln(e)[/tex]

[tex]\frac{ln(0.5)}{-8}=k[/tex]

[tex]\frac{ln(0.5)}{-8}=k[/tex]

[tex]k = 0.086[/tex]

A jar contains 5 red, 4 blue, and 3 yellow marbles. What is the probability of pulling a red marble, then pulling a blue marble, without

replacement? Calculate to the nearest tenth.

O 15.2 %

O 13.9%

14%

O 17.1%

Answers

Answer:

15.2%

Step-by-step explanation:

The total number of marbles in the jar is:

5 + 4 + 3 = 12 marbles

The jar contains 5 red, 4 blue, and 3 yellow marbles.

The probability of pulling a red marble is 5/12

There are now 11 marbles in the jar.

The probability of pulling a blue marble is 4/11

Therefore, the probability of pulling a red marble, then, pulling a blue marble, without  replacement is:

5/12 * 4/11 = 5/33

Converting to percentage:

5/33 * 100 = 15.2%

What is the value of x in the equation 3x -
by = 18, when y = 272
5
7
45
63
Mark this and return
Save and Fit

Answers

Do u mean 3x-y=18
If not clear your question and if yes this is the question then the answer is 96.6

Answer please need help and is struggling

Answers

The answer is D (last one)

HELP ME PLZ!!!
In Tier 3, half of the shelf space will occupy Go Math Textbooks and the other half of the space with Bounty paper towels, as shown below. Your answer must have work on how you did it OR an explanation.

Answers

Answer:

Your in middle school you should know this figure this by now FIGURE IT OUT ON YOUR OWN.....

Step-by-step explanation: yeah

Answer:

i dont know the volume but if it tells you what each book measures. Ive left a guide below to distribution.

Step-by-step explanation:

volume = 1

0.5 +0.5 = 1

volume 2

1+1 = 2

you just need to use the word distribution and show like this

(V): amount  / 2 =  new amount (adding cm^3)

To work out volume you take the length and width and height of the shelf of the books. you show your workings like this.

(V): L x Wx H =

You then multiply the amount of books if you was not given the measure of the bookcase shelf.

IF the bookcase is double like the picture and doesnt show the shelf measure than you half the hieght only and keep the same length and width.

H/2 =   first and enter below the new height.

(V): L xWx H  = this is the whole shelf

(V) =     / 2   you enter the Volume amount infront of the /2 and this way you see the volume for the math textbooks being 1/2 of 1  by (/2)  

Use the found answer

LAbel

MAth text books (V) =

Bounty paper towells (V) =

Then see how many cubic sheets fit.

ie) if they measure 30cm x 1cm x 30xm

and the shelf measures 30cm x 60 x 60

you can count up from the second values as the first values fit the length

The width = 1 x 60 - 60 books.  (example 1cm Width thickness)

Then see the height does not change to the height of the books.

IF it does change then for every 2cm change you divide the height of the bookcase by 60-1, 60-2 or 60-3, 60-4cm etc. just one of these that fits the indifference of height

then multiply if 60-58cm = 58 we know this is 2 / 60 x 100 = 3.33%

To calculate percentage decrease: see above

First: work out the difference (decrease) between the two numbers you are comparing. Then: divide the decrease by the original number and multiply the answer by 100. If your answer is a negative number, then this is a percentage increase.

You then apply (V) of shelf number x 0.03 and then subtract from that shelf volume to show your workings or reapply the same technique to see how many fit as decrease ie) 0.50% =  amount x 0.50 = 1/2 new amount.

Use the Multiplication Law of Exponents to solve the expression below.
121/2.121/2 =

Answers

Answer:

12.

Step-by-step explanation:

12^1/2 * 12^1/2

= 12^(1/2 + 1/2)

= 12^1

= 12.

Four students were discussing how to find the unit rate for a proportional relationship. Which method is valid?
O "Look at the graph of the relationship. Find the y-value of the point that corresponds to x= 1. That value is the unit rate."
O "Look at the graph of the relationship Count the number of units up and the number of units to the right one must move to
arrive at the next point on the graph. Write these two numbers as a fraction."
O "Look at the graph of the relationship. Find the x-value of the point that corresponds to y = 2. That value is the unit rate."
O "Look at the graph of the relationship. Find two points which have y-values that are one unit apart. The unit rate is the
difference in the corresponding x-values."

Answers

Answer:

"Look at the graph of the relationship. Find the y-value of the point that corresponds to x= 1. That value is the unit rate."

Step-by-step explanation:

When finding the unit rate you are l looking for how many happened in one. This can be found for y at x=1.

Hope this helps!

3/4 of a number is 5/8. Find the number.

Answers

Answer:

N = 5/6

Step-by-step explanation:

of means multiply and is means equals

3/4 * N = 5/8

Multiply each side by 4/3

4/3 * 3/4 N = 5/8 *4/3

N = 20/24

Simplifying

N = 5/6

The answer is 5/6.

please see the attached picture for full solution

Hope it helps

Good luck on your assignment

whats 2+2 ? ( This is worth 60 points go get them )

Answers

2+2 = 4

Very easy, just add them lol gotem

                       

Answer:

4

Step-by-step explanation:

2 + 2

Add the numbers.

= 4

The first two terms of a geometric sequence are a1 = 1 and a2 = 3. Find a4, the fourth term of the sequence. Question 1 options: A) 81 B) 27 C) 243 D) 9

Answers

Answer:

B)

Step-by-step explanation:

Common ratio = a2/a1 = 3/1 = 3

[tex]a_{n}=ar^{n-1}\\\\a_{4}=1*3^3\\\\ = 27[/tex]

Suppose that F(x) = xo and G(X) = -2X3. Which statement best compares the
graph of G(x) with the graph of F(x)?
A. The graph of G(x) is the graph of F(x) flipped over the x-axis and
compressed vertically.
B. The graph of G(x) is the graph of F(x) flipped over the y-axis and
stretched vertically.
C. The graph of G(x) is the graph of F(x) flipped over the x-axis and
stretched vertically.
D. The graph of G(x) is the graph of F(x) flipped over the yaxis and
compressed vertically.

Answers

Answer:

C. The graph of G(x) is the graph of F(x) flipped over the x-axis and

stretched vertically

Step-by-step explanation:

Given:

F(x) = x³G(x) = -2x³

If we multiply F(x) by -1, we flip it over the x-axis. We get -F(x).

If we multiply -F(x) by 2, we stretch it vertically.

please answer this questions

Answers

Answer:

Step-by-step explanation: since ab||ef, line cd is a transversal

x+35°=85° (alternate interior angles)

x=85-35

x= 50°

taking bd as a transversal

y= 35° (alternate interior angles)

taking bz as a transversal

y+z+40°= 180° (interior angles on the same side of the transversal)

z+35°+40°= 180°

z+75°= 180°

z= 180-75

z= 105°

PLEASE RATE 5 STARS AND VOTE AS BRAINLIEST:)

(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)

Answer:

x = 50 degree found by working out c and d

y = 35 degree

z = 105 degree

Step-by-step explanation:

c is solved 180-85 = 95 as all straight lines equal (180)

d is solved 85-35 = 50 as it is alternate of c (85)

x is found  85 - 35 = 50 degree as it is part of d and not supplementary

y is found  180-95 = 85 then 85-50 = 35 as angles are adjacent and add up to 180 degree.

z is found 180-75 = 105 as angles are adjacent and add upto 180 degree but z is also alternate to missing c angle

Given a line segment that contains the points A,B, & C in order, and given B is the midpoint of AC, if AB = 7x - 2, and BC = 4x + 7, find x. Select one: a. 9 b. - 2 c. 3 d. 7

Answers

Answer: the answer is c. 3

Step-by-step explanation:

Subtract 4x from 7x

3x-2=7

Then add 2 to 7

3x=9

Then divide 3 by 3x and 9 by 3

X=3

c. The value of x is 3

What is line segment ?

A line segment is a part of straight line measured between two points.

A line segment always have a definite length.

What is the value of x ?

Given, a line segment contains points A, B, C in order.

Also the point B is the middle point of AC.

Hence, we can say that, AB = BC  ......(1)

Here, AB = 7x-2 & BC = 4x+7

Therefore, from (1) we get,

7x-2 = 4x+7

⇒ 7x-4x = 7+2

⇒ 3x = 9

⇒ x = 3

The value of x = 3

Learn more about Line segment here :

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Give the domain and range.

Answers

Answer:

D

Step-by-step explanation:

The domain is the x coordinates which are {-2,0,2}

Answer:

D = { -2, 0 2}

R = { -3,-1 ,1 }

Step-by-step explanation:

The domain is the input or x values

D = { -2, 0 2}

The range is the output or y values

R = { -3,-1 ,1 }

can anyone help? this question is based on using soh cah toa trig

Answers

Answer:

9.696

Step-by-step explanation:

Answer:

x = 9.7 feet

Step-by-step explanation:

Use tan to find the value of x

tan 22 = [tex]\frac{x}{24}[/tex]       Simplify

0.404 = [tex]\frac{x}{24}[/tex]       Multiply both sides by 24

x = 9.696        Round this answer to the nearest tenth of a foot

x = 9.7 feet

suppose that g(x) = f (x - 2). which statement best compares the graph of g(x) with the graph of f(x)?

Answers

Answer:

The  graph of G (x) is the graph of f(x) shifted 2 units to the left.

The graph of G (x) is the graph of f(x) shifted 2 units to the left.

Graph:

For any kind of the parent function f(x) the graph of the transformed function should be g(x) = f(x +a)

It is a shift of the parent function f(x) also it should be either to the left or the right based on the value of a.

In the case when a>0 so the shift is 'a' units to the left

and if a<0 so the shift is 'a' units to the right.

Therefore, we can conclude that The graph of G (x) is the graph of f(x) shifted 2 units to the left.

It is an incomplete question. Kindly find the options below.

A. the graph of G(x) is the graph of F(x) shifted 2 units to the right B thr graph of G(x) is the graph​ of F(x) shifted 2 units down C the graph of G(x) is the graph of F(x) shifted 2 units up D the graph of G (x) is the graph of f(x) shifted 2 units to the left

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What is the maximum value of the function y = 5cos2x ?
(1) 5 (2) 2 (3) -5 (4) -2

Answers

Answer:

3. -5

Step-by-step explanation:

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