Dana is skating laps to train for a speed skating competition. She can skate one lap in 40 seconds.
1. Write a ratio in simplest form comparing Dana's time to her number of laps.
2. Suppose Dana skates for 20 seconds. How many laps will she skate?
3. Write a ratio of Dana's times from number 2 to her number of laps.
4. How could you simplify the ratio you wrote in 3?

Answers

Answer 1

Answer:

Dana can skate and I can not

Step-by-step explanation:


Related Questions

Please help!!
Rewrite the expression with rational exponents.
\root(6)(x^(7))

Answers

Answer:

[tex]x^{\frac{7}{6} }[/tex]

Step-by-step explanation:

Determine whether y varies directly with x. If so, find the constant of variation k. 4y=x​

Answers

Answer:

k = 1/4

Step-by-step explanation:

y = kx

4y=x​

  y = 1/4x

Answer:

Step-by-step explanation:

Find the percent for the fraction 2/3. Round your answer to the nearest tenth?

Answers

Answer: 33.33%

Step-by-step explanation:

HELP ME ANSWER THIS MGA LODI NG BAYAN HAHAHA SERIOUS NA ​

Answers

Answer:

[tex]( {x}^{} + 2) {}^{2} = {x}^{2} + 4x + 4[/tex]

[tex](2x - 3) {}^{2} = {4x}^{2} - 12x + 9[/tex]

[tex] {(3x + 4)}^{2} = {9x}^{2} + 24x + 16[/tex]

[tex] {(x - y)}^{2} = {x}^{2} - 2xy + {y}^{2} [/tex]

[tex] {(2x + 3y)}^{2} = 4x {}^{2} + 12xy + 9y {}^{2} [/tex]

y + 1 = - 2x
Rewrite the equation in y=Mx+b form

Answers

The answer is
Y=-2x+1



Answer:

the correct answer is Y=-2x-1

Will award brainiest if you answer correctly

Answers

Answer:

7 units because (6x-22)=(2×+6)

A contractor has submitted bids on three state jobs: an office building, a theater, and a parking garage. State rules do not allow a contractor to be offered more than one of these jobs. If this contractor is awarded any of these jobs, the profits earned from these contracts are $10 million from the office building, $5 million from the theater, and $2 million from the parking garage. His profit is zero if he gets no contract. The contractor estimates that the probabilities of getting the office building contract, the theater contract, the parking garage contract, or nothing are .15, .30, .45, and .10, respectively.
1. Write the probability distribution of x .
2. Find the mean and standard deviation of x .

Answers

Answer:

The  probability distribution of x is  

     Profits in millions (x)                            Probability of getting contract (P(x))

          $10                                                                   0.15

          $ 5                                                                    0.30

          $ 2                                                                    0.45

          $ 0                                                                    0.10

The  mean is  [tex]E(X) = 3.9 millions  [/tex]

The  standard deviation is  [tex]s = 3.01 \  millons   [/tex]

Step-by-step explanation:

Generally the probability distribution of  x is

 Profits in millions (x)                            Probability of getting contract (P(x))

          $10                                                                   0.15

          $ 5                                                                    0.30

          $ 2                                                                    0.45

          $ 0                                                                    0.10

Generally the mean is mathematically represented as

     [tex]E(X) =  x  *  p(x)[/tex]

=>    [tex]E(X) =  [10 *  0.15 ]  +  [5 *0.30 ] + [2 *  0.45 ] + [0 * 0.10] [/tex]

=>    [tex]E(X) = 3.9 millions  [/tex]

Now

      [tex] E(X^2) =  x^2 * p(x)[/tex]

=>   [tex] E(X^2) =  (10 ^2 *   0.15) +  (5  ^2 *   0.30) +(2  ^2 *   0.45) + (0 * 0.10)[/tex]

=>   [tex] E(X^2) = 24.3 [/tex]

Gnerally the variance is mathematically represented as

        [tex]V(X) =  E(X^2) - [E(X)]^2[/tex]

=>      [tex]V(X) =  24.3 -  3.9^2[/tex]

=>     [tex]V(X) =  9.09 [/tex]

Gnerally the standard deviation is mathematically represented as

    [tex]s =  \sqrt{V(X)}[/tex]

=>  [tex]s =  \sqrt{9.09[/tex]

=>  [tex]s = 3.01 [/tex]

In order to convert this equation to Slope-Intercept Form, you must first isolate y.

What is the first step in isolating y?

3x+2y=4


Use Division Property of Equality to divide the equation by 3.

Use Addition Property of Equality to add 2y to both sides of the equation.

Use the Subtraction Property of Equality to subtract 3x from both sides of the equation.

Use Subtraction Property of Equality to subtract 4 from both sides of the equation.

Answers

Answer:

use the subtraction property of equality to subtract 3x from both sides of the equation

Step-by-step explanation:

y is on the left so move everything else to the right side

According to the Subtraction Property, both sides of an equation remain equal following a subtracting of the same amount from both sides of the equation

The first step in isolating y in the equation 3·x + 2·y = 4 is the option;

Use the Subtraction Property of Equality to Subtract 3·x from both sides of the equation

Reason:

The slope and intercept form of the straight line equation is the the equation in the form y = m·x + c

Where;

m = The slope of the equation

c = The y-intercept

The given equation is 3·x + 2·y = 4

To isolate y, the terms containing y, are placed on one side of the equation, while the other terms are placed on the other side as follows;

First step;  3·x + 2·y - 3·x = 4 - 3·x (Subtraction property of equality)

Second step; 2·y = 4 - 3·x

Third step; [tex]\dfrac{2 \cdot y}{2} = \dfrac{4 - 3 \cdot x}{2}[/tex] →  y = 2 - 1.5·x (Division property of equality)

y = 2 - 1.5·x = -1.5·x - 2

y = -1.5·x - 2 Equation in slope and intercept form

Therefore, the first step is use the Subtraction Property of Equality to Subtract 3·x from both sides of the equation

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Line b has a slope of 5/7. Line c has a slope of 7/5. Are line b and line c parallel, perpendicular, or neither?

Answers

Answer:

the lines are neither perpendicular or parallel

What is 0.934 (34 repeating) as a fraction?

Answers

Answer:

185 ove r198

Step-by-step explanation:

On Friday, the tent will be on sale for $15 off the price of $219.00
What will Amber's total savings be if she buys the tent on
Friday? Include $0.06 in sales tax on every $1 when
calculating the cost. Show how you found your answer.​

Answers

Answer:

Step-by-step explanation:

219*0.06=13.14

219+13.14=232.14  regular price after tax

really, she is paying 232.14 regularly, not 219

15*0.06=0.90

15-0.90=14.10

232.14-14.10=218.04 discounted price after tax

this means that she save $14.10 off of the regular price if she buys the tent on friday

can i get brainliest please?

What’s 96 dived by 7

Answers

Answer:

Exact Form:

96 /7

Decimal Form:

13.71428571 …

Mixed Number Form:

13  5 /7

Step-by-step explanation:

Reduce the expression, if possible, by cancelling the common factors.

Faheem wants to write equations in the form y = mx + b for the lines passing through point P that are parallel and perpendicular to line t. First he finds the slopes of these 2 lines. What could he do next to find the y-intercepts?

Answers

Answer:

Substitute the slope and the coordinates of point P in y = mx + b and then solve for b for each equation.

Step-by-step explanation:

Rob makes $15.20 an hour mowing lawns. How much does Rob make if he mowed lawns for 2 hours on Monday and 3 hours on Tuesday?

Answers

Answer:

if rob makes $15.20 an hour and on Monday decides to mow two lawns for 2 hours an easy way to do it is by multiplying 15×2=30 then add 0.20+0.20 you get 30.4 that the amont he makes on monday for tuesday just 15.2+30.4 and get $45.60

Rhoda is asked to graph this system of equations: 5x - 6y = 4 3y + 2x = 7 How many times will the lines intersect? O A. The lines will intersect infinitely many times, because they are identical. O B. The lines will not intersect, because this system has no solutions. O C. The lines will intersect once, because this system has one solution. D. There is no way to tell without graphing the lines first.​

Answers

Answer:

C. The lines will intersect once, because this system has one solution

Step-by-step explanation:

System of equations:

5x - 6y = 4 3y + 2x = 7

The system of linear equations has one solution if the lines intersect, no solution if the lines are parallel, infinitely many solutions if lines are same

Let's put the lines into slope-intercept form to compare

Line1

5x - 6y = 46y = 5x - 4y = 5/6x - 4/6

Line 2

3y + 2x = 73y = -2x + 7y = -2/3x + 7/3

As we see lines have different slopes so they are different and they intersect once

This system has one solution

Answer:

C. The lines will intersect once, because this system has one solution

Step-by-step explanation:

can someone help me with a b and c please

Answers

Answer:

c.in this 2014,396.12million pets were owned

Write the equation of a line with slope 3 and y-intercept −3.

PLS I NEED ASAP

Answers

The equation of the line is Y = 3x + (-3).

X cannot equal 3 on a number line

Answers

Answer:

Yes it can

Step-by-step explanation:

math

Answer:

So whats the question

Step-by-step explanation:

Joe deposits $700 into an account that pays simple interest at a rate of 4% per year. How much will he be paid in the first 3 years?

Answers

Answer:

784

Step-by-step explanation:

Write the equation of a line perpendicular to 6y-2x=-8 and passes through the point(-2,1) in slope-
intercept form

Answers

Answer:

y = -3x + 17/10

Step-by-step explanation:

First you want to move the 2x to the other side of the equal sign for the proper way of slope-intercept form. Which makes it 6y=2x-8.

You still want to make sure that y is by itself so you divide the whole equation by 6 which makes it y=1/3x-8/6.

We have to find the slope of the a perpendicular line now and to do so, you must take the slope of the given line and make it into the opposite reciprocal.

To do that you take 1/3 and reciprocate it, which makes it 3.

Then flip the sign to make it opposite. Like making a positive into a negative and a negative into a positive. Therefore the slope of the perpendicular line is -3.

Now we must make it past through point (-2,1). To do that you have to adjust the y-intercept. Because of that, the y-intercept is 1.7 or 17/10.

The equation of the slope is y=-3x+17/10

Please help with this!

Answers

9514 1404 393

Answer:

  -11

Step-by-step explanation:

DeYanna's cards are ...

  black: 2, 4, for a total value of 2+4 = 6

  red: 7, 10, for a total value of -(7+10) = -17

Then the total value of DeYanna's cards is ...

  6-17 = -11

A "roll" of nickels contains 40 nickels. How much money is a "roll" worth? A 5¢ B. 20¢ c. $1.00 D. $2.00 E. $4.00​

Answers

Answer:

D

Step-by-step explanation:

a nickel = 5 and 5 x 40 = 200 so it would be 2.00

Answer D!
Nickel = 5 cents
One roll = $2.00

PLEASE HELP QUICK
i don't understand this problem

Answers

Answer:

ordered pairs would be my best guess

Step-by-step explanation:

i would say ordered pairs too because the range is the largest value minus the smallest value

Sales Tax. The sales tax on a purchase of L dollars is 6%. Write an algebraic expression that represents the total amount of sales tax.

Answers

Answer:

The value is [tex]T =  0.06L [/tex]

Step-by-step explanation:

From the question we are told that

   The sales tax is  [tex]k = 6\%[/tex]

Generally the total amount of sales tax is mathematically represented as

      [tex]T =  6\%  \ of \  L[/tex]

=>     [tex]T =  \frac{6}{100}  * L[/tex]

=>     [tex]T =  0.06L [/tex]

The switchboard in a Denver law office gets an average of 8.2 incoming phonecalls during the noon hour on Thursdays. Find the probability that more than 4 calls will be received during the noon hour, on some particular Thursday. Assume calls are independent of each other.

Answers

Answer:

The probability that more than 4 calls will be received during the noon hour, on some particular Thursday is 0.9113.

Step-by-step explanation:

The random variable X can be defined as the number of incoming phone calls during the noon hour on Thursdays.

The random variable X describes a finite number of occurrences of an event in a fixed time interval.

The random variable X follows a Poisson distribution with parameter λ = 8.2.

The probability mass function of X is:

[tex]P(X=x)=\frac{e^{-8.2}(8.2)^{x}}{x!};x=0,1,2,3...[/tex]

Compute the probability of more than 4 calls as follows:    

[tex]P(X>4)=1-P(X\leq 4)[/tex]

                [tex]=1-\sum\limits^{4}_{x=0}{\frac{e^{-8.2}(8.2)^{x}}{x!}}\\\\=1-[0.00027+0.00225+0.00923+0.02524+0.05174]\\\\=1-0.08873\\\\=0.91127\\\\\approx 0.9113[/tex]

Thus, the probability that more than 4 calls will be received during the noon hour, on some particular Thursday is 0.9113.

Let the graph of g be a translation 3 units up, followed by a vertical stretch by a factor of 2 and a reflection in the x-
Axis of the graph of
f(x) =3x^2-3x write a rule for g


G(x) =

15 points!!!!

Answers

Answer:

The answer is [tex]g(x)= -6x(x-1)+3[/tex]

Step-by-step explanation:

we know that f(x) is written as [tex]3x^{2}-3x[/tex]

to show that the graph is being translated up, vertically stretching, and reflecting across the x axis, we need to factor the function.

[tex]f(x)= 3x^{2}-3x \\ 3x(x-1)\\[/tex]

now we can incorporate the changes to this graph.

multiply 3x by 2 and -1. (2 for a stretch and -1 for a reflection).

[tex]-6x(x-1)[/tex]

tack on the +3 to show a translation of 3 units up.

[tex]-6x(x-1)+3[/tex]

therefore, [tex]g(x)= -6x(x-1)+3[/tex]

hope this helps!

The rule for the graph of g after all transformations of the function f(x) = 3x² -3x is;

g(x) = 6x² + 3x + 6

The graph of f(x) is given as;

f(x) =3x^2-3x

According to the parameters given;

First, the graph of g is a translation 3 units up, therefore, we have;

g(x) = f(x) + 3

g(x) = 3x² - 3x + 3

Secondly, followed by a vertical stretch by a factor of 2 and a reflection in the x axis.

This means that the graph must be multiplied by 2 and x values containing x be now regarded as -x

g(x) = 6x² - 3x + 6

And a reflection in the x-axis yields;

g(x) = 6(-x)² -3(-x) + 6

g(x) = 6x² + 3x + 6

Ultimately, the rule for the graph of g is;

g(x) = 6x² + 3x + 6.

Read more:

https://brainly.com/question/11598381

find the surface area and volume of a rectangular solid with length 10, width 7, height 12

surface area______square inches
volume_____cubic inches​

Answers

Answer:

Surface area is =548

Volume = 840 in³

Step-by-step explanation:

l × w, l × w, w × h, w × h, l × h, l × h

70 + 70 + 84 + 84 + 120 + 120 = 548

l × w × h = 840

WILL GIVE BRAINLIEST make sure to show all of your work

Answers

I don’t understand the question

More than 3, 000, 000, 000 pencils are manufactured in country A annually. Write this number in scientific notation

Answers

Answer:

3.0 times 10 with 8 as the exponent

Step-by-step explanation:

Count the amount of times you move the decimal point.

That number is the exponent number.

If you are counting left it is positive, if you are counting right it is negative.

Answer:

Step-by-step explanation:

Count the number of zeros.

There are 9 of them.

So the answer is 3 * 10^9



Matthew paid $49.45 for five used video games of equal cost. The
relationship between the number of video games and the total cost is
proportional. What is the total cost for 11 used video games? Use any
strategy.
Show
Copyright law-
HE
your work
here

Answers

so u are going to divide 49.45 by 9 and get 9.89 then multiply it by 11 then u would get 108.79 which would be ur answer

The total cost for 11 used video games will be

What is Division method?

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

Matthew paid $49.45 for five used video games of equal cost.

Now,

Since, Matthew paid $49.45 for five used video games of equal cost.

Hence, The cost of 1 video game = $49.50/5

                                                   = $9.90

So, The total cost for 11 used video games = $9.90 × 11

                                                                 = $108.9

Thus, The total cost for 11 used video games = $108.9

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