The sum of three consecutive even numbers is 558. What is the 1st number

Answer:

y = ⅔x - 5

Step-by-step explanation:

The line that is parallel to 2x - 3y = 24, would have the same slope as the line, 2x - 3y = 24.

Rewrite;

2x - 3y = 24

-3y = -2x + 24

Divide both sides by -3

y = ⅔x - 8

Thus, the slope of 2x - 3y = 24 is ⅔.

Therefore the line that is parallel to 2x - 3y = 24, will have a slope (m) of ⅔.

Using point-slope form, we can generate an equation that passes through (-3, -7) and is parallel to 2x - 3y = 24.

Thus, substitute (a, b) = (-3, -7) and m = ⅔ into y - b = m(x - a)

Therefore:

y - (-7) = ⅔(x - (-3))

y + 7 = ⅔(x + 3)

Rewrite in slope-intercept form.

Multiply both sides by 3

3(y + 7) = 2(x + 3)

3y + 21 = 2x + 6

3y = 2x + 6 - 21

3y = 2x - 15

Divide both sides by 3

y = ⅔x - 5

Answer:

z^2 +2z-15

Step-by-step explanation:

hope this helped

Answer:

The temperature at 5 am is 16 degrees below zero.

Step-by-step explanation:

The temperature at 2 am is 9 degrees below zero:

[tex]T_{2_{am}} = -9 [/tex]

Since at 5 am the temperature had dropped by an additional 7 degrees, we have:        

[tex]T_{5_{am}} = T_{2_{am}} - 7 [/tex]      

[tex]T_{5_{am}} = -9 - 7 = -16 [/tex]

Therefore, the temperature at 5 am is 16 degrees below zero.

I hope it helps you!      

Answer:

5 seats

Step-by-step explanation:

if I'm getting the right idea, the seats are NOT enough

since the number of arrangement of 10 people in a row is

10! = 3628800 which is a lot larger than 30240.

---------------------------------------------------------------------------------------

Let number of seats be

10PX = 30240

[tex]\frac{10!}{(10-X)!}[/tex] = 30240

(10-X)! = [tex]\frac{10!}{30240}[/tex]

(10-X)! = 120

(10-X)! = 5!

10-X = 5

X = 5

Answer:

3.514 degrees per hour

Step-by-step explanation:

To find change per hour, you find the slope, which is change in output (temperature) over change in input (hours)

y2-y1 / x2-x1

-12.3 - 0 / 3.5

3.514 degrees per hour

Answer:

$278

Step-by-step explanation:

8% of 29,250 = 2340

8% of 32,725 = 2618

2618 - 2340 = 278

she earned $278 dollars more in march than in february.

15+20x=18+20x

20x+15=18+20x

20x+15=18+20x

20x+15=20x+18

20x+15=20x+18

20x+15-15=20x+18-15

1.subtract the numbers

20x=20x+3

20x=20x+3

20x-20x=20x+3-20x

1.combine like terms

0=3

Answer:

1; 180

2: 180

3:155

Step-by-step explanation:

Answer:

its 44

Step-by-step explanation:

180=46+90+x

180=136+x

44=x

Answer:

y=-12+1

hopes this hwlps

Answer:

y=-12x+6

Step-by-step explanation:

There is enough information to write this equation in slope-intercept form.

[tex]y=mx+b[/tex]

m - slope

b - y-intercept

The given slope is -12 and the given intercept is 6.

[tex]y=mx+b\rightarrow \boxed{y=-12x+6}[/tex]

Hope this helps.

Answer:

[tex] 48\pi \:m/min[/tex]

Step-by-step explanation:

Diameter = 48 m

Therefore radius r = 48/2 = 24 m

[tex]Area \: of \: circular \: oil \: slick \\ A = \pi {r}^{2} \\ differentiating \: w \: r \: to \: t \: on \: \\ both \: sides \\ \\ \frac{dA}{dt} = \frac{d}{dt} (\pi {r}^{2} )\\ \\ \frac{dA}{dt} =\pi \frac{d}{dt} {r}^{2} \\ \\ \frac{dA}{dt} =\pi \times 2{r}\\ \\ \frac{dA}{dt} =2\pi {r} \\ \\ \bigg(\frac{dA}{dt} \bigg)_{r=24} =2\pi \times {24} \\ \\ \bigg(\frac{dA}{dt} \bigg)_{r=24} =48\pi \: m \: per \: min[/tex]

Answer:

The answer is x=1

Step-by-step explanation:

-4(3x+6)+6=-30

-12x-24+6=-30

-12x-18=-30

-12x-18+18=-30+18

-12x=-12

-12x/-12=-12/-12

x=1

Answer:

3.5 or 3 1/2

Step-by-step explanation:

Answer:

slope: 7/2

y-int: (0, -5)

(0, -5) (10/7, 0)

Answer:

2+2=4

Step-by-step explanation:

Imagine 2 lItTlE fishies in a pond, 2 more little FIsHiEs swim next to them, how many FisHiEs are in a group? Four WiDdlE fiShies are in the pond. Good LuCk

Answer:

5.83

Step-by-step explanation:

Pythagorean Theorem a^2 + b^2 = c^2

[tex]5^{2} + 3^{2} = 34\\\sqrt{34} = 5.83[/tex]

Answer:

I think A  but if im wrong tell me sorry if it wrong

Step-by-step explanation:

Answer:

8 is 2 answers. the answer is A

Answer:

63

Step-by-step explanation:

Answer:

[tex]m=\frac{-1}{3}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point (3, 0)

Point (0, 1)

Step 2: Find slope m

Plug in points to find the rate of change of the graph.

Answer:  4 servings

4 cups of milk = 8 servings

2 cups of milk = 4 servings

I divided both sides by 2 to change "4 cups milk" into "2 cups milk".

The reason why I want 2 cups of milk is because the chart you're given shows 1 pint is 2 cups.

Therefore, 1 pint of milk will get you 4 servings.

Answer:

y=x

Step-by-step explanation:

using slope intercept form and slope formula so y=x

Answer:

y=mx+c

x co-ordinates is 5 & -2

y co-ordinates is 5 & -2

m is the gradient so you have to do change in y over change in x (basically the difference in the y axis )

so change in y : (-2)-5 = -7

change in x: (-2)-5= -7

so divide this and you get 1 which is m

Now the equation is y= 1x+C but x=1 theoretically

therefore all you do now is substitute the values onto the equation to find C. ALWAYS USE THE SAME SET OF COORDINATES.

5=1(5)+ C

5=5+C

C= 0

equation is y=x

Step-by-step explanation:

Answer:

(A) Let a represent the number of hours Cassie needs to work

(B) The inequality is 10 × a + 30 ≥ 140

(C) a ≥ 11

(D) Cassie needs to work babysitting for her neighbor for at least 11 hours to be able to buy the graphing calculator

Step-by-step explanation:

The least amount Cassie needs for the graphing calculator = $140

The amount Cassey currently have saved = $30

The amount her neighbor offers for her to babysit = $10 per hour

(A) The definition of the variable is given as a = The number of hours Cassie needs to work

(B) The inequality that defines the situation is 10 × a + 30 ≥ 140

(C) Solving the inequality gives;

10 × a + 30 ≥ 140

10 × a  ≥ 140 - 30

∴10 × a  ≥ 110

a ≥ 110/10

∴ a ≥ 11

Which gives;

The number of hours Cassie needs to work = a ≥ 11 hours

(D) The solution means that Cassie needs to babysit for her neighbor for at least 11 hours to be able to buy the graphing calculator.

Answer:

x = 3, x = [tex]\frac{2}{7}[/tex]

Step-by-step explanation:

(a)

The first step is to subtract 23x from both sides, that is

7x² - 23x + 6 = 0 ← in standard form

(b)

Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 7 × 6 = 42 and sum = - 23

The factors are - 21 and - 2

Use these factors to split the x- term

7x² - 21x - 2x + 6 = 0 ( factor the first/second and third/fourth terms )

7x(x - 3) - 2(x - 3) = 0 ← factor out (x - 3) from each term

(x - 3)(7x - 2) = 0

Equate each factor to zero and solve for x

x - 3 = 0 ⇒ x = 3

7x - 2 = 0 ⇒ 7x = 2 ⇒ x = [tex]\frac{2}{7}[/tex]

Answer:

68 km

Step-by-step explanation:

A map has a scale of 4.5 inches = 36 km

We need to find the actual distance between the cities if the distance between two cities is 8.5 inches.

We can find 1 inch is equal to what as follows :

1 inch = (36/4.5) km

For 8.5 inches,

[tex]8.5\ \text{inches}=\dfrac{36}{4.5}\times 8.5\\\\=68\ km[/tex]

Hence, the actual distance between the cities is 68 km.

Answer:

There is a 90% decrease

Step-by-step explanation:

(The upcoming and this sentence is pre-written and copy and pasted in every brainly question or comment I write or answer.) If this answer helped you please consider giving it brainliest. If my answer was wrong and you got marked wrong for it, I deeply apologize and hope you will forgive me, since everyone makes mistakes sometimes. If you need me to elaborate on my answer or give further explanation on it, please ask and I will do so. If you need to explain your reasoning on your work feel free to use my words- word for word- without crediting me, the answer was made for you anyways! Hope yall learn from my answer and it helps you in the future with assignments, quizzes, test’s, and more!

- •Trix•

( Yes I know my - •Trix• thingy is not my user but it’s what I would change it to if I could but I can't, please address me as Trix while commenting or talking to me here.)

Answer:

sorry to answer as I kinda want the points

for me when problem solving it gave me 10%

as I'll show the work and why

Step-by-step explanation:

first dividng the two will make it clear

300,000/30,000

will give you

10 x%

30,000 will make it as 90% since it's 1/10 away from 30,000

300000 is 100% since it is our output value.

so 100% / 300,000

so x% / 30,000

300000(1) = 100%

x% / 30,000(2)

x%/30,00

100%/300,000

Answer:

-70 so A

Step-by-step explanation:

Answer:

D) 70

Step-by-step explanation:

Here is the correct mathematical way of find a distance between two points on the number line.

Take the absolute value of the difference of their coordinates.

If the points on a number line correspond to coordinates a and b, the distance between the points is

|a - b|

Your problem:

|a - b| = |-57 - 13| = |-70| = 70

The distance is 70.

Answer: D) 70