1.sum of three consecutive even numbers is 12 the number are
0,5,7
1,3,8
2,4,6​

Answer:

[tex]d = \sqrt{5}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra II

Step-by-step explanation:

Step 1: Define

Point A (2, 4)

Point B (3, 6)

Step 2: Find distance d

Answer:

common difference d = - 4

Step-by-step explanation:

the nth term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

given a₁ = 24 and a₁₉ = - 48 , then

24 + 18d = - 48 ( subtract 24 from both sides )

18d = - 72 ( divide both sides by 18 )

d = - 4

Answer:

X=18

Step-by-step explanation:

Answer: 18

Step-by-step explanation:

we know that 6x+10 is equal with the angle above the one that is measured (5x-28)

we have 6x+10+5x-28=180 (a straight line)

11x=180+28-10

11 x=198

x=18

Answer:

1. 2.50$

2. 120

Step-by-step explanation:

..................

Answer: B.

Step-by-step explanation: In 2010, you have 15 games won. Then, in 2011, you have 12 games won. The rate of change is -3.

Cost of two tickets that Sheila paid to her friend = $ 90

Actual price of 1 ticket = $ 52.50

So, actual price of 2 tickets = 52 x 2 = 105

Hence, markdown or discount Sheila's friend gave her is =

105 - 90 = 15

The answer is $15.

Answer:

15

Step-by-step explanation:

105 - 90 = 15

Answer:

x = 9

Step-by-step explanation

9x - 1 = 80

add 1 to both sides and you get

9x = 81

divide each side by 9 and you get

x = 9

The solution of equation 9x - 1 = 80 by combining like terms with the use of operations addition, division, etc is x = 9. Hence option 4 is true.

Used the concept of an equation that states that,

An equation is a group of numerical variables and functions that have been combined using operations like addition, subtraction, multiplication, and division.

Given that the expression is,

9x - 1 = 80

Now simplify the expression by combining like terms with the use of operations addition, division, etc.

The expression is,

9x - 1 = 80

Add 1 on both sides,

9x - 1 + 1 = 80 + 1

9x = 81

Divide both sides by 9,

x = 81/9

x = 9

So, x = 9 is the solution of expression.

Thus option 4 is true.

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Answer:

1/4

Step-by-step explanation:

simple

Answer:

5 hours

Step-by-step explanation:

To change minutes to hours you will have to divide the total minutes by 60 (because 60 minutes is in one hour), in this situation it would look like this:

180/60 = 3

So, Alexa babysat for 3 hours on Saturday.

Now, just add the 3 hours from Saturday and 2 hours from Sunday and you get a total of 5 hours!

I hope this helps!!

- Kay :)

Answer:

3,300

Step-by-step explanation:

Answer:

3, 348 rounded to the nearest hundred is 3, 300.

Step-by-step explanation:

Let's have a look at the hundreds place. The number "3" is in the hundreds place, which has the value 300 since 3*100 = 300. What is the number next to the three in the hundreds place? Well, it is 4, which has the value of 40 since 4*10 = 40.

Remember, 4 or less, let it rest (this means keep the number and make the other numbers after it into zeroes).

5 or more, let it soar (this means to add one to the number and make the other numbers after it into zeroes).

Answer:

It's $0.02 cheaper per piece in the 8 piece pack.

Answer:

2) Mia needs to buy 3 packages of noisemakers

3)Mia needs to buy 4 packages of hats

4)Mia will dpend a total of $66

When given the value of 5/4 hours then in minutes this is equal to 75 minutes.

In every hour, there are 60 minutes. If you want to covert hours to minutes therefore, you multiply the number of hours by 60 minutes.

When given the number of hours as 5/4 hours, in minutes this becomes:

= Number of hours x 60 minutes per hour

= 5/4 x 60 minutes per hour

= 300 / 4 minutes

= 75 minutes

In conclusion, the number of minutes in 5/4 hours is equal to 75 minutes.

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Answer:

x = 6

Step-by-step explanation:

These are supplementary angles.

This means that the angles add up to 180 degrees.

The first thing we can do is set 6y equal to 90, because the little red box means that is 90 degrees.

6y = 90

y = 15

Now that we have found y we can solve for x.

Plug in the y to the 5x + 4y

5x + 4(15)

5x + 60

We can set this equal to 90 again

5x + 60 = 90

5x = 30

x = 6

Therefore x is equal to 6.

I hope this helps!!

- Kay :)

Answer:

x= 6

Step-by-step explanation:

Straight line: is equaled to 180 degrees.

6y= 90 (90 divided by 6= 15), so y= 15

5x + 4y= 90 --> 5x + 4(15)= 90 --> 5x + 60= 90 --> 90 - 60= 30 --> 5x= 30 (30 divided by 5= 6), so x= 6

Answer:

180

Step-by-step explanation:

60 * 4 = 240

240 / 20 = 12 groups of 20

12*15 = 180

180 cookies

Answer:

what graph?...........

Answer:

a) the platform is 110 feet above the ground.

b)  It takes 8.69 sec for the rock to hit the ground

Step-by-step explanation:

This situation is modelled by the following function: [tex]f(x) = -5x^2 + 40x + 30\\[/tex]

We need to answer the following questions.

a) How high above the ground is the platform?

First we find x using the formula: [tex]x=-\frac{b}{2a}[/tex]

we have b = 40 and a = -5

Putting values and finding x

[tex]x=-\frac{b}{2a}\\x=-\frac{40}{2(-5)}\\x=-\frac{40}{-10}\\x=4[/tex]

Now putting x=4 in the function to find how high above the ground is the platform

[tex]f(x) = -5x^2 + 40x + 30\\Put\:x=4\\f(4)=-5(4)^2+40(4)+30\\f(4)=-5(16)+160+30\\f(4)=-80+160+30\\f(4)=110[/tex]

So, the platform is 110 feet above the ground.

b) How long does it take for the rock to hit the ground? Show all work to receive full credit!

We will factorise the given function [tex]f(x) = -5x^2 + 40x + 30[/tex] to find the time taken to hit the ground.

We can solve the equation using quadratic formula: [tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

We have a =-5, b=40, c=30

Putting values and finding x

[tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\x=\frac{-40\pm\sqrt{(40)^2-4(-5)(30)}}{2(-5)}\\x=\frac{-40\pm\sqrt{1600+600}}{-10}\\x=\frac{-40\pm\sqrt{2200}}{-10}\\x=\frac{-40\pm46.9}{-10}\\x=\frac{-40+46.9}{-10},x=\frac{-40-46.9}{-10} \\x=-0.69,x=8.69[/tex]

So, we get values of x: x = -0.69 and x=8.69

As time cannot be negative, so we take x=8.69

So, It takes 8.69 sec for the rock to hit the ground

Answer:

b

Step-by-step explanation:

This answer is (B) $5262.

Answer:

b on edge 2021

Step-by-step explanation:

took the test :)

Answer:

x= -3/2y + 6

Step-by-step explanation:

Let's solve for x.

2x+3y=12

Step 1: Add -3y to both sides.

2x+3y+−3y=12+−3y

2x=−3y+12

Step 2: Divide both sides by 2.

2x

2

=

−3y+12

2

Answer:  I would post the answers in comment am unable to add the answer.

Step-by-step explanation:

1.F is the midpoint of AC, angle AFE =  angle CFD and DF = EF  (Given)

2.angle AFD =  angle CFE  ( A midpoint divides a segment into two congruent segments.)

3.angle DFE = angle DFE (Reflexive property)

4.angle A =  angle C (Congruent angles subtracted from congruent angles form congruent angles )

Answer:

d

Step-by-step explanation:

hope this helps

The wide is the gym in the drawing is 5

In the given statement is

Cassie measured the middle school and made a scale drawing. The scale of the drawing was 1 inch : 9 feet. the actual width of the gym is 45 feet.

To find how wide is the gym in the drawing

Now, According to the question

and, Based on the given conditions

=45 x1/9

=45/9

=5

Thus, The wide is the gym in the drawing is 5

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Answer:

Discount price is $25.2

Step-by-step explanation:

Answer: $622 in one work week.

Step-by-step explanation:

We need to start by multiplying $4,600 by 7% in order to calculate her commission sales prophets (=$322.0). It is given that her weekly salary is $300.

Add her sales prophet rewards ($322) to her given weekly salary income (300)

$322+$300= $622.0