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Now that we’ve learned how to solve word problems involving the sum of consecutive integers, let’s narrow it down and this time, focus on word problems that only involve finding the sum of consecutive even integers.

But before we start delving into word problems, it’s important that we have a good understanding of what even integers, as well as consecutive even integers, are.

Even Integers

We know that even numbers are integers that can be divided exactly or evenly by 22. Thus, the general form of the even integer nn, is n = 2kn=2k, where kk is also an integer.

In other words, since even numbers are the multiples of 22, we can represent an even integer nn by 2k2k, where kk is also an integer. So if we have the even integers 1010 and 1616,

Answer:

18 and 20

Step-by-step explanation:

x + x + 2 = 38

2x + 2 = 38

2x = 36

x = 18

x+2 = 20

Answer:

6

Step-by-step explanation:

288 = 300-2x

Answer:

Step-by-step explanation:

take 18 degree as reference angle

using cos rule

cos 18=adjacent/hypotenuse

0.95=20/x

x=20/0.95

x=21.05

x=21.2

Answer:

see below

Step-by-step explanation:

The student put 5 in for y and 1 in for x.  It should be x=5 and y =1

y = 3x+2

1 = 3*5 +2

1 = 15+2

1 = 17

This is not true so this is not a solution

Answer:

see below

Step-by-step explanation:

The student put 5 in for y and 1 in for x.  It should be x=5 and y =1

y = 3x+2

1 = 3*5 +2

1 = 15+2

1 = 17

This is not true so this is not a solution

Answer:

E) 150°

Step-by-step explanation:

angle adjacent to 70° angle is 110°

the angle supplemental to 'x' must be 180-(40+110) or 30°

this means 'x' must be 150°

Answer:

-4>-6

Step-by-step explanation:

come on dude

Answer:

D

Step-by-step explanation:

According to the volume formula, you multiply length x width x height

Answer:

D; 1*9*4

Step-by-step explanation:

Since the formula for the volume of a rectangular prisim is L*W*H (length times width times height), it would be 9*4*1. However, since the order doesn't matter (due to the commutative property of multiplication) it would be D.

Answer:

x=2

Step-by-step explanation:

To get from the left figure to the right figure on the bottom we multiply by 7

3*7 =21

To go from the right  figure to the left we divide by 7

14/7 = 2

x would equal 2

Answer:

70

Step-by-step explanation:

it depends on the grade you make, so if you were to make a 65.47, your grade would be a 70, so any grade less than 70 should be the answer, hope this helps!

We need to find the angle measure of the minor arc which is [tex]\sf\widehat{AC}[/tex] . We note that the measure of a complete angle is 360 degree. So that ,

Using this :-

[tex]\sf : \implies \angle ABC + m\angle ABC = 360^o \\\\\sf: \implies 106^o + m\angle ABC = 360^o \\\\\sf: \implies m\angle ABC = 360^o - 106^o \\\\\sf: \implies \red{ m \angle ABC = 254^o }[/tex]

Hence the required answer is 254° .

Answer:

A. 6 (2n - x +8)

Step-by-step explanation:

Answer:

6(2n-x+8)

Step-by-step explanation:

If a number is in front of the bracket it means times everything on the inside by that number.

So you times everything by 6.

6×2n=12n

6×-x= -6x

6×8=48

Then you put it into an equation:

12n-6x+48

Hope this helps :)

Answer:

Step-by-step explanation:

For the multiplicative inverse of a real number, divide 1 by the number. For example, the reciprocal of 5 is one fifth (1/5 or 0.2), and the reciprocal of 0.25 is 1 divided by 0.25, or 4.

For more help visit:

https://byjus.com/maths/multiplicative-inverse/

Answer:

0.95 0.85 0.78 0.47 0.9

Step-by-step explanation:

5 ways.

Answer:

64 inches sq

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

1.4

Step-by-step explanation:

33/23 = 1.434 ≈ 1.4 (rounded to the nearest tenth)

The answer is 1.43

An improper fraction is a fraction where the numerator is greater than or equal to the denominator.  For example, 3/2 is an improper fraction, but 2/3 is a proper fraction, whose denominator is greater than the numerator.

Given here: The fraction 33/23 which is roughly equivalent to 1.43

We know, To convert a decimal to a fraction, place the decimal number over its place value. For example, in 0.6, the six is in the tenths place, so we place 6 over 10 to create the equivalent fraction, 6/10. If needed, simplify the fraction.  And To convert a fraction to a decimal, we'll just divide the numerator...by the denominator.

Thus 1.43=33/23

Hence, The answer is 1.43

Learn more about fractions here:

https://brainly.com/question/29264210

#SPJ2

Answer:

The choose (A)

A- (x+3)²+(t+5)²=16

Answer:

A (x + 3)^2 + ( y + 5 )^2 = 16

Step-by-step explanation:

The formula for equation of a circle is (x - h ) ^2 + ( y - k ) ^2 = r ^2

                                                            ( h , k ) represent the coordinates

                                                              r represents the radius

Plug in the numbers ( x - (-3) ) ^2 + ( y - (-5) ) ^2 = 4 ^2

2 negatives make a positive

So the equation would be (x + 3)^2 + ( y + 5 )^2 = 16

You also need to make sure you square the radius

Answer:

The last one looks correct

Step-by-step explanation:

Because if they have stronger winds then that would improve their flight making them get use to it, and will for sure get stronger over time

Answer:

[tex]R(x) = (1.3)^{3x-8}[/tex]

Step-by-step explanation:

Given

[tex]A(x) = (1.3)^{x + 9}[/tex]

[tex]B(x) = (1.3)^{4x + 1}[/tex]

Required

Ratio B(x) to A(x)

This is calculated as:

[tex]R(x) = B(x) : A(x)[/tex]

Express as fraction

[tex]R(x) = \frac{B(x) }{A(x)}[/tex]

Substitute: [tex]A(x) = (1.3)^{x + 9}[/tex] and  [tex]B(x) = (1.3)^{4x + 1}[/tex]

[tex]R(x) = \frac{(1.3)^{4x+1}}{(1.3)^{x+9}}[/tex]

Apply law of indices

[tex]R(x) = (1.3)^{4x-x+1-9}[/tex]

[tex]R(x) = (1.3)^{3x-8}[/tex]

Answer:

23

Step-by-step explanation:

8-2=6

6×3=18

18+5=23

Answer: 23

Step-by-step explanation:

===========================================================

Explanation:

Let's name the friends A, B, C

If person A is first, then B or C could be second and third.

So we have ABC or ACB as two possible outcomes.

If B is first, then either A is second or C is second. Meaning we have BAC or BCA.

If C is first, then we have CAB or CBA

Overall here are the 6 different ways to have the runners finish

Note how for the first slot we have 3 ways to pick the winner. Then after that selection is made, we have 2 choices left, then 1 choice for third place. Therefore, 3*2*1 = 6 different outcomes are possible.

We can use the factorial operation on the calculator to do this with one button press, so we'd say 3! = 6. The exclamation mark means "multiply from 3 down to 1, counting down the whole time".

Another example of a factorial is:

5! = 5*4*3*2*1 = 120

Answer:

3*4x+3*5y

12x+15y

2*3x*2+2*7.5y

Answer:

The square root of 25 is 5 because 5 times 5 is 25

Step-by-step explanation:

Answer:

y = 36x - 18

Step-by-step explanation:

(1,18) (2,54)

y2 - y1 / x2 - x1

54 - 18 / 2 - 1

36 / 1

= 36

y = 36x + b

18 = 36(1) + b

18 = 36 + b

-18 = b

Answer:

2

Step-by-step explanation:

the x and y are being multiplied by 2 e.g. 1 × 2 is 2 and 2 × 2 is 4 so the constant is 2

Answer:

2

Step-by-step explanation:

y2-y1       4-2         2

-------- = --------- = ---------- = 2

x2-x1        2-1          1

Answer:

15 feet

Step-by-step explanation:

Answer:

7/3

7 is increased by 11 so you decrease it by 11

7-11= -4

3 is decreased by 1 so you increase it by 1

3+1= 4

-4/4

Answer:

7

Step-by-step explanation:

you divide 140 by 20 & it gives you 7 i hope this helps ..

Answer:

Hope this helped! <3

Step-by-step explanation:

the median for number 1 is: 7.5 and the mean is 9.16667

the median for number 2 is: 100 and the mean is 90.4

the median for number 3 is: 10.5 and the mean is 18.16667

Answer:

Hi!

number 1: median: 8, 12 or 10

number 2: median: 100

number 3: median: 12, 2 or 7

number 1: mean: 9.16

number 2: mean: 90.4

number 3: mean: 18.16

Step-by-step explanation:

The mean is just all the numbers added up in a data set divided by how many numbers are in the data set. That gets you the average

The median is just the number in the middle of the data set.

Also for the first the median is either 10 or both 8 and 12 Because there's not 1 number in the middle it can be 8 and 12 of you want it averaged them it would be 10 I dont know which you want so you would have to figure that out

same with number 3

Also for the means it might vary depending if you need to round or not

Answer:

C. 1/3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

Identify

a = 2/3

b = 3/4

c = 1/2

a(b - c²)

Step 2: Evaluate

Answer:

C. 1/3

Step-by-step explanation:

Replace each letter with their corresponding value and simplify using the order of operations:

a(b - c*c)

turns into:

[tex]\frac{2}{3} (\frac{3}{4}-(\frac{1}{2}*\frac{1}{2}))[/tex]

You want to remember that order of operations follows the rules of PEMDAS. The operations within the parentheses come first.

1/2 times 1/2 = 1/4

Now we have:

[tex]\frac{2}{3}(\frac{3}{4}-\frac{1}{4})[/tex]

Then 3/4 - 1/4 = 2/4 = 1/2

[tex]\frac{2}{3}(\frac{1}{2})[/tex] = 1/3

Therefore your answer is C. 1/3

Answer:

The missing point is (3, -6)

Step-by-step explanation: