A subway car travels at a rate of 32 meters per second. How far does it travel in 16 seconds?

Answer:

Step-by-step explanation:

first step, multiply 4 and 3

4x3=12  ,  we write is 1.2x10

10^5 x10^3=10^8

4 x10^5 x 3 x 10^3= 1.2x10^9

The required answer is 1.20 x 10⁹ in scientific notation.

Scientific notation is a method of writing extremely large or extremely small numbers. When a number between 1 and 10 is multiplied by a power of 10, it is written in scientific notation.

Here,
To multiply two numbers in scientific notation, we multiply their coefficients and add their exponents. Applying this rule, we get:

= (4.0 x 10⁵) x (3.0 x 10³)
= (4.0 x 3.0) x (10³ x 10⁵)

= 12.0 x 10⁵⁺³
= 12.0 x 10⁸

However, the answer is not yet in proper scientific notation form because the coefficient 12.0 is not between 1 and 10. To express the answer in scientific notation, we need to adjust the coefficient and exponent so that the coefficient is between 1 and 10. We can do this by dividing the coefficient by 10 and increasing the exponent by 1. Doing this, we get:

12.0 x 10⁸ = 1.20 x 10⁹

Therefore, the answer is 1.20 x 10⁹ in scientific notation.

Learn more about scientific notation here: https://brainly.com/question/13091583
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Answer:

[tex]12+\frac{1}{4}\cdot12[/tex] [tex],[/tex] [tex]12\left(1+\frac{1}{4}\right)[/tex]  [tex]and[/tex]  [tex]12\cdot\frac{5}{4}[/tex]

Step-by-step explanation:

[tex]--------------------------------------------[/tex]

[tex]\frac{1}{4}[/tex] [tex]of[/tex] [tex]12[/tex] [tex]is[/tex] [tex]3[/tex]

[tex]12+3[/tex] = [tex]15[/tex]

[tex]--------------------------------------------[/tex]

[tex]12+\frac{1}{4}[/tex] = [tex]12.25[/tex] ✘

[tex]12\cdot\frac{1}{4}[/tex] = [tex]3[/tex] ✘

[tex]12+\frac{1}{4}\cdot12[/tex] = [tex]15[/tex] ✔

[tex]12\left(1+\frac{1}{4}\right)[/tex] = [tex]15[/tex] ✔

[tex]12\cdot\frac{3}{4}[/tex] = [tex]9[/tex] ✘

[tex]12\cdot\frac{5}{4}[/tex] = [tex]15[/tex] ✔

[tex]--------------------------------------------[/tex]

Sorry that it took long, really wanted to work hard on this one.

[tex]--------------------------------------------[/tex]

Hope this helps! <3

[tex]--------------------------------------------[/tex]

Answer:

31.42 m

Step-by-step explanation:

circumference = (pi)d

circumference = 3.14159 * 10 m

circumference = 31.4159 m

Answer: 31.42 m

Answer: circumference =31.42m

Step-by-step explanation:

Answer:

 C

------ = r

2pi

Step-by-step explanation:

Divide both sides by 2pi.  We get:

 C

------ = r

2pi

Answer:

rational

Step-by-step explanation:

Answer:

you need to explain

Step-by-step explanation:

Answer:

triangle 2.854e55

Step-by-step explanation:

Answer:

s = - 60

Step-by-step explanation:

-45 + s = -105

s = -105 + 45

s = - 60

Answer:

D. He distributed -5 incorrectly.

Step-by-step explanation:

Last option is the correct answer.

Answer:

Parker: D. He distributed -5 incorrectly.

Step-by-step explanation:

Answer: It is linear

y=kx

Step-by-step explanation:

That's the formula for direct variation relationships!

The other two answers are nonsense and don't mean anything.

Answer:

  20 bags

Step-by-step explanation:

gift + lunch + (skittles * count) ≤ $21

               9.25 + 3.50 + 0.40x ≤ 21

                          12.75 + 0.40x ≤ 21

                                       0.40x ≤ 8.25

                                               x ≤ 20.625

Answer:

20 bags of skittles

Step-by-step explanation:

I took the test

Answer:

h squared (h^2)

Step-by-step explanation:

h to the power of its self is just h squared

Answer:

i believe the answer is b

Step-by-step explanation:

unit means one

Answer:

C. NUMBER OF DOWNLOADED SONGS

Step-by-step explanation:

Among the following, the independent quantity in the function:

amount of remaining MP3 player memory as a function of downloaded songs is

The remaining memory will depend on the number of songs downloaded. So, the number of downloaded songs is considered as the independent variable while the remaining memory is the dependent variable.

Answer:

Easy, 358

Step-by-step explanation:

because 2 new mp3 players are $465 and have new storage.

While 1 new mp3 player is $107 but it has less storage.

So we subtract because it's asking us the difference between the price of the $465 and the $107.

465

- 107

--------

358

Answer:

19

Step-by-step explanation:

9+10 is not 21 it is 19.

If 2 tens make a 20 and 1 number is gone, 20-1=19

Answer:

The answer is D.

Step-by-step explanation:

I hope this helps :D

Answer:

W=−5

r=3

hope this helps!!

Answer:

Step-by-step explanation:

w(0) = 0-1

w(0) = 0-1

w(0) = -1

Since w(0), this basically means that a = 0.

So, plug 0 into anywhere a is.

The value of the function w(a) = a - 1 at a = 0 will be negative 1.

When the relevant factors and natural laws of a mathematical model are given values, the outcome of the calculation it describes is the expression's outcome.

A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.

The function is given below.

w(a) = a - 1

The value of the function at a = 0 will be

w(0) = 0 - 1

w(0) = - 1

The value of the function w(a) = a - 1 at a = 0 will be negative 1.

More about the value of expression link is given below.

https://brainly.com/question/23671908

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Answer:

a.) 36

b.) 18

c.) 27

Step-by-step explanation:

Answer:

the top one and bottom one

Step-by-step explanation:

Answer:

first and sixth

Step-by-step explanation:

they match

Answer:

x=−4

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

4(x−1)+5x=6x−16

(4)(x)+(4)(−1)+5x=6x+−16(Distribute)

4x+−4+5x=6x+−16

(4x+5x)+(−4)=6x−16(Combine Like Terms)

9x+−4=6x−16

9x−4=6x−16

Step 2: Subtract 6x from both sides.

9x−4−6x=6x−16−6x

3x−4=−16

Step 3: Add 4 to both sides.

3x−4+4=−16+4

3x=−12

Step 4: Divide both sides by 3.

3x/3=-12/3

x=-4

Answer:

4x-4+5x=6x-16, 9x-4=6x-16, 3x=-12, x=-4

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given that 1/4 bucket of nuts fills 2/3 of the barrel

PART A

To find the amount of nuts that fills entire basket we can put this as:

Use cross-multiplication to find the value of x:

PART B

Answer:

s

Step-by-step explanation:

Answer:

17/70

Step-by-step explanation:

First use PEMDAS which is the order to solve questions like these.

Parenthesis

Exponents

Multiplication

Division

Addition

and Subtraction

There is one parenthesis which has a (-1/4) so let's start with that, we know that when there is a negative and a positive sign the negative out rules the positive

3/5-1/4 divided by 7/10      (Sorry I don't have the division sign on my device)

There are no exponents or multiplication but there is division

-1/4 divided by 7/10 is -5/14

3/5-5/14 is 17/70

Thus, our answer is 17/70

Answer:

There are 6 rock songs on Fernando's road trip playlist.

Step-by-step explanation:

Given that he keeps the ratio same

This means that the ratios for both summer playlist and trip playlist will be the same

Let

c1 be the country songs in summer playlist

r1 be the rock songs in trip playlist

Similarly,

c2,r2 will be the country and rock songs in trip playlist

Both will be equal so

[tex]\frac{c_1}{r_1} = \frac{c_2}{r_2}[/tex]

Putting the values

[tex]\frac{100}{24} = \frac{25}{r_2}\\100r_2 = 25*24\\100r_2 = 600r_2 = \frac{600}{100}\\r_2 = 6[/tex]

Hence,

There are 6 rock songs on Fernando's road trip playlist.

Answer:

6 songs

Step-by-step explanation:  

Answer:

$[tex]$2.25[/tex]

Step-by-step explanation:

Let [tex]b =[/tex] the cost of one brownie, [tex]c =[/tex] cost of one cookie

[tex]3b + 5c = 11[/tex]

[tex]b+2c = 3.95[/tex]

Times [tex]3[/tex] on both sides on the second equation above to get the following:

[tex]3b + 6c = 11.85[/tex]

[tex]3b+6c - (3b+5c) = 11.85-11[/tex]

[tex]3b+6c-3b-5c = 0.85[/tex]

[tex]c = 0.85[/tex]

To find the value of [tex]b[/tex], use substitution:

[tex]b+2c = 3.95[/tex]

[tex]b = 3.95-2c[/tex]

[tex]= 3.95 - 2\times0.85[/tex]

[tex]= 2.25[/tex]

[tex]\therefore[/tex] the cost of a brownie is $[tex]$2.25[/tex]

Hope this helps :)