Mr. Quick bought a new computer case. The regular price was $45,00, but he got a 15% discount. How much did he pay

[tex]s^2=1^2+2^2\\s^2=1+4\\s^2=5\\s=\sqrt5[/tex]

s²=5 , so we look for the nearest squares, one less than 5 and the other greater.

First it would be perfect squares, which means 4=2² and 9=3²

4 < 5 < 9  so   2 <√5 < 3

now we'll do the same with the numbers with tenths, but to speed up we don't check them all. We do estimation for the square root knowing that it must be between 2 and 3

5 is close to 4 then 9, so I estimate 2.3 for its square root

(2.3)² = 5.29  - it is close but more then 5 so I look for less number then 2.3

(2.2)² = 4.84 - it is also close and less then 5 so:

4.84 < 5 < 5.29  therefore   2.2 < √5 < 2.3 and:

5 - 4.84 = 0.16  ; 5.29 - 5 = 0.29  

0.16 < 0.29  means the √5 is closer to 2.2 then 2.3

So the √5 rounded to the nearest tenth is 2.2

Of course is much easier if you can use the calculator. Then you have:

√5 = 2.2360679... ≈ 2.2         {because 3<5}

:)

Answer:

Exact Form:  x = 7 3

Decimal Form:  x = 2. ¯ 3

Mixed Number Form:  x = 2  1 /3

Answer:

x = 254.7 divided by 50

Step-by-step explanation:

This is the first step to finding the best sale. You need to know how many 6.99 packages of mulch you need to cover your whole garde, to see how much you will pay for all of those packages

Answer:

d

Step-by-step explanation:

Answer:

2.95 each

Step-by-step explanation:

Answer:

rational number

Step-by-step explanation:

Answer:

9.4606x10^12 kilometers

Step-by-step explanation:

The scientific notation is numbers is exponents with a base of 10. As this number is 9.4606 trillion, we need to use 1 trillion as 10^12. Then we multiply by 9.4606 to get 9.4606x10^12 km. Hope it helps!

Paragraph:

Functions are a special kind of relation. At first glance, a function looks like a relation. A function is a set of ordered pairs such as { (0, 1), (5, 22), (11, 9)}. Like a relation, a function has a domain and range made up of the x and y values of ordered pairs.

Answer:

x=19

Step-by-step explanation:

3x-3=[6(x-10)]

3x-3=6x-60

-3x   -3x

-3=3x-60

+60   +60

57=3x

x=19

3x-3            6(x-10)

3(19)            6(19-10)

57  -3             6(9)

54                   54

These angles are vertical angles which means they are equal

Answer:

14 degrees

Step-by-step explanation:

12 + 25 - 23 = 14

Answer:

3,456

Step-by-step explanation:

2 times 2 times 2 times 2 equals 16

6 time 6 times 6 equals 216

216 times 16 equals 3,456

Answer:

[tex]58x-54=468[/tex]

Step-by-step explanation:

Number of repeat customers = 40

Amount charged from each of the repeat customers = $ x

So,

amount charged from 40 customers = $ 40 x

Number of new customers = 18

As Michel charged each of the new subscribers $3 less than the amount charged from each of the repeat customers,

amount charged from each of the new customers = $ (x - 3)

So,

amount charged from 18 new customers = $ 18(x - 3)

Total amount charged from repeat and new customers = [tex]\$[(40x)+18(x-3)]=\$40x+18x-54=\$58x-54[/tex]

As Michel collected $468 for delivering newspapers,

[tex]58x-54=468[/tex]

Answer:

The correct option is;

c. The horizontal axis labeled Hours Driven goes from 0 to 15 in increments of 1 and the vertical axis labeled Miles Remaining goes from 0 to 150 in increments of 10. The line starts at left parenthesis (0, 0), and passes through (1, 65) and (2, 130)

Step-by-step explanation:

The given parameters are;

The speed of the truck = 65 miles per hour

The length of the highway = 130 miles

Therefore, from the given information, we have;

The time, t, it will take the truck to arrive at the end of the highway is given as follows;

Time = Distance/speed = 130/65 = 2 hours

Therefore, if the truck timing starts from the point (0, 0), we have;

The points on the straight line (constant) speed graph are;

(0, 0), (1, 65), and (2, 130)

Answer:

C

Step-by-step explanation:

The percentage change when a price of 200 is increased to 210.99 is 5.495%.

A percentage is a relative number that represents a hundred parts of any quantity.

The initial price is 200.

And the final price is 210.99.

The formula for the percentage change is,

Percentage change = [(Final value - Initial value)/Intitial value] * 100

Putting the given values in the above formula, we get

= [(210.99 - 200)/200] * 100

= [10.99/200] * 100

= 0.05495 * 100

= 5.495

Hence, the percentage change when a price of 200 is increased to 210.99 is 5.495%.

Learn more about percentage change here - https://brainly.com/question/3529798

#SPJ2

Answer:

Step-by-step explanation:

It is easier the 2nd time.

Multiplication and Division of Integers. RULE 1: The product of a positive integer and a negative integer is negative. RULE 2: The product of two positive integers is positive. RULE 3: The product of two negative integers is positive.

Answer:

Let's see what to do buddy..

Step-by-step explanation:

_________________________________

STEP (1)

We have to first find the slope of the given line. To do that we must write the given line to slope-intercept form.

[tex]5x - 3y = 8[/tex]

Subtract the sides of the equation minus 5x :

[tex] - 3y = 8 - 5x \\ - 3y = - 5x + 8[/tex]

Divided the sides of the equation by -3 :

[tex] \frac{ - 3}{ - 3}y = \frac{ - 5x + 8}{ - 3} \\ \\ y = \frac{5}{3}x - \frac{8}{3} [/tex]

We know that the slope-intercept form of the linear functions is like this :

[tex]y = a \: x + b[/tex]

Where a is the slope and b is width of origin.

So the slope of the given line is 5/3.

_________________________________

STEP (2)

The slopes of two lines perpendicular to each other are symmetrical and inverse to each other.

In other words, the product of the slopes of two lines perpendicular to each other is -1 .

So :

[tex] \frac{5}{3} \times (t) = - 1 \\ [/tex]

Divided the sides of the equation by 5/3 :

[tex] \frac{ \frac{5}{3} }{ \frac{5}{3} } \times t = \frac{ - 1}{ \frac{5}{3} } \\ \\ t = - \frac{3}{5} [/tex]

((t)) is the slope of the line which we want to find.

_________________________________

STEP (3)

We have this equation to find the slope-intercept form of the linear functions :

[tex]y - y(given \: point) = (slope) \times ( \: x - x(g \: p) \: ) \\ [/tex]

Now Just need to put the slope and the given point in the equation:

given point = ( -5 , 2 )

slope = -3/5

[tex]y - 2 = - \frac{3}{5}(x - ( - 5)) \\ y - 2 = - \frac{3}{5}(x + 5) \\ y - 2 = - \frac{3}{5}x - 3 \\ [/tex]

Subtract the sides of the equation plus 2 :

[tex]y = - \frac{3}{5}x - 1 \\ [/tex]

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

Answer:

Real Number  

Step-by-step explanation:

These are numbers which include both rational AND irrational!!!

Doesn't go on forever.

Brainliest??

Answer:

She Flipped the symbol

Step-by-step explanation:

Please don't cry. I will explain it to you. Just please don't cry.

She multiplied correctly. But in her end result, she flipped the symbol.

You only flip symbols when multiplying or dividing by a negative number.

I hope this helps! Please don't cry :)

Answer:

3,500 meters

Step-by-step explanation:

3.5 x 1000=3500

Answer:

3500 I swear

Step-by-step explanation:

Answer:

Una pregunta es un enunciado que normalmente funciona como una solicitud de información, que se espera que se proporcione en forma de respuesta.

Step-by-step explanation:

Answer:

The temperature changed by [tex]-12^\circ F[/tex] overnight.

The temperature changed by [tex]-1^\circ F[/tex] overnight each hour.

Step-by-step explanation:

Given that:

Temperature at 7 PM last night = [tex]10^\circ F[/tex]

Temperature at 7 AM the next morning = [tex]-2^\circ F[/tex]

a. The change in temperature from 7 PM to 8 AM = Temperature at 7 AM - Temperature at 7 PM

[tex]\Rightarrow -2-10 =\bold{-12^\circ F}[/tex]

Negative sign indicates that the temperature has decreased.

b. Change in temperature each hour:

Divide the Change in temperature with the number of hours.

[tex]\Rightarrow \dfrac{-12}{12} = \bold{-1^\circ F}[/tex]

Negative sign indicates that the temperature has decreased.

Answer:

I think that's the answer.

Answer:

Step-by-step explanation:

Ok since they haven't specifically told use what the four consecutive numbers is we gotta use

X, x+1, x+2, x+3

Then you collect the like terms and sum them up

x+x+x+x+ 1 + 2 + 3 =278

4x+6=278

4x=272

Then you simplify

4x/4= 272/4

x=68

Now that you know what x is then the four consecutive numbers are 68, 69, 70, 71.

Adiosss

But the way I think I know do you have exams tomorrow??

let me know if this is wrong

Answer:

(6÷

–

3)2×8

Step-by-step explanation:

the answer is 4

Answer:

She deposits $17.00 each week

Step-by-step explanation:

You multiply 85 times 0.2 which gives you 17.

Answer:

3/2

Step-by-step explanation:

3^-4 x 2^3 x 3^2/2^4 x 3^-3

base 3 will be numerator and base 2 will be denominator:

3^-4 * 3^2 * 3^3 / 2^4*2^-3

Now add the exponents of the base:

3^-4+2+3/ 2^4-3

3^-4+5/ 2^1

3/2

The correct option is 3/2

Answer:

3/2

Step-by-step explanation:

Answer:

the answer is 427miles in 7 hours

Step-by-step explanation:

Answer:

427 miles in 7 hours.

Step-by-step explanation:

All we need to do is figure out how many miles per hour he's traveling, and then add it to the pre-existing 6 hour number we already have.

So, he drove 366 miles in 6 hours. We need to find out how many miles per hour (MPH) he's doing. To do this all we need to do is divide the amount of miles he's gone (366) by the number of hours it's taken him (6).  It looks like this:

366 ÷ 6 = 61.

So he's goes 61 miles every hour. Now all we need to do is add up until we hit 7 hours. We already know he went 366 miles in 6 hours, so we only need to add 61 to 366 once.

366 + 61 = 427.

427 is your answer.

Hope this helps and have a nice day!

Answer:

The equation of a line is typically written as y=mx+b where m is the slope and b is the y-intercept. If you know two points that a line passes through, this page will show you how to find the equation of the line.