The sum of 5 consecutive even numbers is 100.
What is the first number in this sequence?

Work Shown:

x = (1/3) divided by (5/8)

x = (1/3) * (8/5)

x = (1*8)/(3*5)

x = 8/15

Answer:

x = 8/15

Step-by-step explanation:

YES

Answer:

464

Step-by-step explanation:

The first term is 9.

The difference between the second and first term = 20 - 9 = 11

The difference between the third and second term = 39 - 20 = 19

The difference between the fourth and third term = 72 - 39 = 33

The difference between the fifth and fourth term = 125 - 72 = 53

The difference between the sixth and fifth term = 204 - 125 = 79

The difference between the seventh and sixth term = 315 - 204 = 111

The differences are 11, 19, 33, 53, 79, 111

From the difference: 19 - 11 = 8, 33 - 19 = 14, 53 - 33 = 20, 79 - 53 = 26, 111 - 79 = 32

We can see from the first difference (8), if we add 6 we get 14, if we add another 6 we get 20, if we add 6 we get 26, if add 6 we get 32

We get the eight term using:

32 + 6 = 38

let x be the difference between the eight term and the seventh term, hence:

x - 111 = 38

x = 111 + 38

x = 149

Therefore:

eighth term - seventh term = 149

eighth term - 315 = 149

eighth term = 149 + 315

eighth term = 464

The next probable term is 464

Answer:

y=-2x+3

Step-by-step explanation:

In a y=mx+b equation, M is the slope and B is the y intercept. So write down that equation and plug in the numbers you're given

Answer: 14.94

Step-by-step explanation:

35.80 - 5.92 = 29.88

29.88 divided by 2 gives you

14.94

Answer:

$14.94

Step-by-step explanation:

35.80-5.92=29.88

29.88/2=14.94

Answer:

5x + 2y = 7

3x � y = 2

multiply the second equation by 2 and leave the first equation as is to get:

5x + 2y = 7

6x � 2y = 4

add the second equation to the first equation to get:

11x = 11

divide both sides of that equation by 11 to get:

x = 1

replace x with 11 in the first original equation to get:

5x + 2y = 7 becomes 5 + 2y = 7

solve for y to get y = 1

your solution is x = 1 and y = 1

confirm by replacing x and y with 1 and 1 in both original equations to get:

5x + 2y = 7 becomes 5 + 2 = 7 which is true.

3x � y = 2 becomes 3 - 1 = 2 which is true.

Step-by-step explanation:

Given a system of two equations in two variables, replacing one equation by the sum of that equation and a multiple of the other produces a system with the same solution. Show why this is true by solving the system of equations given. Justify the reason for each step. HINT: Use addition property of equality and multiplication property of equality in your answers.

5x + 2y = 7

3x � y = 2

A1. To solve the system using elimination, first multiply the bottom equation by 2. Write the new system of equations.

B1. Why is this multiplication allowed?

C1. What variable will be eliminated when the equations are combined after the multiplication?

D1. Next, add the equations together. Your answer should be a single equation with one variable.

E1. Why can you add the equations?

F1. Solve the equation for x.

G1. Substitute x back into one of the equations to solve for y.

H1. What is the solution to the system of equations?

Answer:

= 1 2

Step-by-step explanation:

Combine multiplied terms into a single fraction

Multiply by 1

Add the numbers

Subtract  7  from both sides of the equation then Simplify

Answer:

UW = EW+UE=2×EW because, EW=UE

7x-2=2×6= 12

7x=14

x=14/7

x=2

Answer:

18. 56

19. 132

20. 55

21. 120

22. 129.5

23. 61.3

Step-by-step explanation:

First look at the lines arrangment

angle 1+angle 5=180 and according to corresponing angles theorem angle 5 and angle 2 are equivalent. Angle 1+4=180

180-124=56

Angle 2+3=180

180-48=132

According to corresponding angles

angle 4=angle 7 and angle 7=angle 2 meaning angle 4=5

so angle 5=2

Like everything opposite to each other is conr=gruent

angle 8=angle 1 and angle 1=angle 6

means both angle 6 and 8 are congruent.

LOOK angle 7+3=180 means angle 2+6=180

so if ANGLE 7=50.5

6=3

180-50.5=129.5

23. angle 6 and 3 are congruent and as you know angle 7+3=180 and angle 2+6=180

angle 3+angle 6=180

180-118.7=61.3

18. Measure of angle 1=124 then angle 4=56

19.Angle 2= 48 then angle 3=132

20.Angle 4=55 then angle 2=55

21. angle 6=120 then angle 8=120

22.angle 7=50.5 then angle 6=129.5

23.angle 3=118.7 then angle 2=61.3

Hope this helps!!

It's mostly corresponding angles and theorems rules.

Answer:

72 hope it helps............

Answer:

72

is you answer because 8×9=72

A plumber charges $65 to make a house call plus an additional charge of $42 per hour for labor. Write an equation to represent the total cost (y) for any number of hours (x).

Answer:

the required equation to represent the total cost with respect to every hour will be

=》y = 42x + 65

Step-by-step explanation:

total cost (y) = charge to make a house call + additional charge for every our

so, total additional charge for x hours

= 42 × x = 42x

hence y = 65 + 42x ( where 65 is charge to make a house call , y is total cost and 42x is additional charge for x hours )

i hope u got it

have a great day ^_^

Answer

x=20

Step-by-step explanation:

  (x-3) + (8x+3) = 180

         9x = 180

            x=20

Answer:

11111/20000

Step-by-step explanation:

To convert the decimal 0.55555 to a fraction, just follow these steps:

Step 1: Write down the number as a fraction of one:

0.55555 = 0.555551

Step 2: Multiply both top and bottom by 10 for every number after the decimal point:

As we have 5 numbers after the decimal point, we multiply both numerator and denominator by 100000. So,

0.555551 = (0.55555 × 100000)(1 × 100000) = 55555100000.

Step 3: Simplify (or reduce) the above fraction by dividing both numerator and denominator by the GCD (Greatest Common Divisor) between them. In this case, GCD(55555,100000) = 5. So,

(55555÷5)(100000÷5) = 1111120000 when reduced to the simplest form.

The value of the fraction is A = ( 11111 / 20000 )

An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.

Given data ,

Let the fraction be represented as A

Now , the value of A is

Let the decimal number be represented as D

Now , the value of D = 0.55555

Multiply the number D by 100000 on both the numerator and denominator

And , the fraction is A = D x 100000 / 100000

A = 55555/100000

Divide by 5 on both the numerator and the denominator , we get

A = ( 11111 / 20000 )

Hence , the fraction is A = ( 11111 / 20000 )

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Answer:

n = 104

Step-by-step explanation:

Answer:

n = 104

Step-by-step explanation:

Answer:

8 to 20 miles

The covered wagon made 8 to 20 miles per day depending upon weather, roadway conditions and the health of the travelers. It could take up to six months or longer to reach their destination.

Step-by-step explanation:

Answer: -1m²+81

Step-by-step explanation:

correct standard form means that the terms are ordered from biggest exponent to lowest exponent.The leading coefficient is the coefficient

of the first term in a polynomial in standard form.

FoR example, (9+ m) (-m+9) = *(m+9) (-m+9) *m(-m+9) +9 (-m+9)* -1.mm+9m +9(-m+9) * -1m² +9m +9(-m+9) *-1m²+9m- 9m +81

answer -1m²+81

Answer:

32

Step-by-step explanation:

8.3+23.7=32

Hope this helps :)

Answer:

Laura ran 32 miles.

Step-by-step explanation:

8.3 miles + 23.7 miles

= 32 miles

Answer:

Brand C

Step-by-step explanation:

A: 0

B: 10/50

C: 15/50

D: 34/50

Answers:

Nearly all of those answers involve a fraction form and an equivalent decimal form.

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

Work Shown:

Part A

The largest number in the bag is 50, so we cannot select anything larger than that. The probability of getting something larger than 50 is 0% which converts to the decimal form 0

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

Part B

List out the multiples of 5 to get {5,10,15,20,25,30,35,40,45,50}

Note how 50/5 = 10, which shows there are 10 multiples listed above.

We have 10 items in that set out of 50 items in the set {1,2,3,...,49,50}. The probability of getting a multiple of 5 is 10/50 = 1/5. This converts to the decimal form 0.2

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

Part C

The prime numbers between 1 and 50 are:

{2,3,5,7,11,13,17,19,23,29,31,37,41,43,47}

There are 15 items in that list out of 50 items in the bag, so 15/50 = (5*3)/(5*10) = 3/10 is the answer. Converting to decimal form gets us 3/10 = 0.3

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

Part D

There are 50 items in the bag and 15 primes. This means there are 50-15 = 35 composite items. Well this is close to the actual count. It turns out that the number "1" is not composite, and it's not prime either. So we really have 35-1 = 34 composite values.

We get 34/50 = (17*2)/(25*2) = 17/25 as the answer. That converts to 17/25 = 0.68

Answer:

WHERE IS THE QUESTION

Step-by-step explanation:

Answer:

A.5/12

Step-by-step explanation:

Answer:5/12

Step-by-step explanation:

Answer:

x= 9.89

y= 7

Step-by-step explanation:

..........

Answer:

Step-by-step explanation:

Hi again Iana...  I knew somebody in HS with that name.. but anyway... b/c this is a isosceles triangle again... we know right away that y =7

y=7

and that x .. the hypontanuse can be found with Pythorgas  c^2 = a^2 + b^2

c = sqrt(7^2 + 7^2)  

c = sqrt(49+49)

c =sqrt(98)

c = 9.8994949

x= 9.899

Answer:

Step-by-step explanation:

if you serve all the pie to 8 guests.. then they would each get 1/8.. if you were able to cut it exactly the same.. but..  we all know that there is always one piece that is bigger and we all want that piece  :P  b/c pumpkin pie is good

1/8

1/4

1/2

respectively for each of the questions

Answer:

[tex] {(x - 4)}^{2} + 6[/tex]

Step-by-step explanation:

[tex] {x}^{2} - 8x + 22 \\ \\ = {x}^{2} - 8x + 16 + 6 \\ \\ = {x}^{2} - 8x + {4}^{2} + 6 \\ \\ = {(x - 4)}^{2} + 6[/tex]

The completed square form of  x² - 8x + 22 = 0 is (x - 4)² = - 6.

A quadratic equation is an algebraic expression in the form of variables and constants.

A quadratic equation has two roots as its degree is two.

Given, a quadratic equation x² - 8x + 22 = 0.

We know (a - b)² = a² - 2ab + b².

∴ x² - 8x + 22 = 0 is

(x)² -2(x)(4) + 4² + 6 = 0.

(x - 4)² = - 6.

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Answer:

B.

Step-by-step explanation:

Two figures are said to be similar if they are the same shape. In more mathematical terms, two figures are similar if their corresponding angles are congruent , and the ratios of the lengths of their corresponding sides are equal.

Answer:

2

Step-by-step explanation:

2^13= 8192 and the last digit is 2.

Answer:

C.....................m

Answer:

here is how you do it

Step-by-step explanation:

first you must solve 1% of 20 which is .2

then you solve for 10% which is 2

then you double it which is 4

so you would take 4 dollars of the original price

the cost is $16