All categories

3 years ago

A car travels 365 miles on 8 gallons of gas and what is the Unit rate?

Mathematics

2 answers:

Yakvenalex [24]3 years ago

5 0

It will be 45 over 1

SashulF [63]3 years ago

3 0

45/1 i think it would be 45 over 1

You might be interested in

Please choose all irational thx ^_^

lana66690 [7]

Answer:

Here is a note to help you: Most numbers are rational numbers. Here is how you know when a number is rational or not [especially if its a decimal].

Rational:

- Decimals are usually rational. Rational decimals my look like this:

1) 0.25

2) 0.333333333...

3) 0.234234234234234234...

The following above are rational because they either: terminate or repeat. That being said, 1) terminates, and 2) and 3) repeat because the pattern of 2) is just 3's, and the pattern of 3) is 0.234 over and over again.

Irrational:

- Irrational numbers are numbers that don't repeat, and don't terminate. The next examples are irrational:

1) 0.234536718092343...

2) 8.123456789023452574794832468...

3) 1723456.4356784794954233690422...

- They go on forever and ever, and don't have a pattern/terminate like rational numbers.

Now that you've got that in the bag, its time for your answers!

Step-by-step explanation:

A) rational --> It has a pattern, but does not terminate

B) rational --> It terminates

C) irrational --> it does not have a pattern, even if it does terminate

D) rational --> when you solve it, the answer is 2, and 2 is rational

E) irrational --> it does not have a pattern, but does terminate

I hope I helped you! This took forever, but it was worth it! :D

<h2><u>PLEASE MARK BRAINLIEST!</u></h2>

<u></u>

6 0

2 years ago

From a box containing 10 cards numbered 1 to 10, four cards are drawn together. The probability that their sum is even is 21 21

ankoles [38]

Answer:

Step-by-step explanation:

We know that between 1 to 10 there are 5 even and 5 odd numbers.

We could get 4 even cards , 4 odd cards or 2 odd and 2 even cards

Let´s check all this combinations

Case 1: When all 4 numbers are even:

We are going to take 4 of the 5 even numbers in the box so we have

$5C4=5$

Case 2: When all 4 numbers are odd:

We are going to take 4 of the 5 odd numbers in the box, so we have

$5C4=5$

Case 3: When 2 are even and 2 are odd:

We are giong to take 2 from 5 even and odd cards in the box so we have

$5C2 * 5C2$

Remember that we obtain the probability from

$\frac{Number-of-favourable-Outcome}{Total-number-of-outcomes}$

So we have the number of favourable outcomes but we need the Total cases for drawing four cards, so we have that:

We are taking 4 of the 10 cards:

$10C_4=210$

Hence we have that the probability that their sum is even

$\frac{5+5+100}{210}=\frac{11}{21}$

8 0

2 years ago

Sean tossed a coin off a bridge into the stream below. The path of the coin can be represented by the equation 2 h tt = − 16t^2+

tekilochka [14]

Answer:

It will take 5.61 seconds for the coin to reach the stream.

Step-by-step explanation:

The height of the coin, after t seconds, is given by the following equation:

$h(t) = -16t^{2} + 72t + 100$

How long will it take the coin to reach the stream?

The stream is the ground level.

So the coin reaches the stream when h(t) = 0.

$h(t) = -16t^{2} + 72t + 100$

$-16t^{2} + 72t + 100 = 0$

Multiplying by (-1)

$16t^{2} - 72t - 100 = 0$

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

$ax^{2} + bx + c, a\neq0$ .

This polynomial has roots $x_{1}, x_{2}$ such that $ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})$ , given by the following formulas:

$x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}$

$x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}$

$\bigtriangleup = b^{2} - 4ac$

In this question:

$16t^{2} - 72t - 100 = 0$

$a = 16, b = -72, c = -100$

$\bigtriangleup = (-72)^{2} - 4*16*(-100) = 11584$

$t_{1} = \frac{-(-72) + \sqrt{11584}}{2*16} = 5.61$

$t_{2} = \frac{-(-72) - \sqrt{11584}}{2*16} = -1.11$

Time is a positive measure, so we take the positive value.

It will take 5.61 seconds for the coin to reach the stream.

3 0

3 years ago

A ball is thrown into the air by a baby alien on a planet in the system of Alpha Centauri with a velocity of 30 ft/s. Its height

Crank

Answer:

a) h = 0.1: $\bar v = -11\,\frac{ft}{s}$ , h = 0.01: $\bar v = -10.1\,\frac{ft}{s}$ , h = 0.001: $\bar v = -10\,\frac{ft}{s}$ , b) The instantaneous velocity of the ball when $t = 2\,s$ is $-10$ feet per second.

Step-by-step explanation:

a) We know that $y = 30\cdot t -10\cdot t^{2}$ describes the position of the ball, measured in feet, in time, measured in seconds, and the average velocity ( $\bar v$ ), measured in feet per second, can be done by means of the following definition: