Evaluate the following equation, when x=20:
x/5 + x – 10

Answer:

The next number of the series 0, 1/3, 1/2, 3/5, and 2/3 is 5/7

Step-by-step explanation:

The given numbers are;

0, 1/3, 1/2, 3/5, and 2/3

The number sequence is formed adding [tex]\dfrac{1}{\left (\dfrac{n^2 + n}{2} \right ) }[/tex] to each (n - 1)th term to get the nth term number in the sequence, with the first term equal to 0, as follows;

For the 2nd term, the (n - 1)th term is 0, and n = 2, gives;

The

[tex]0 +\dfrac{1}{\left (\dfrac{2^2 + 2}{2} \right ) } = 0 + \dfrac{1}{3} = \dfrac{1}{3}[/tex]

For the 3rd term, the (n - 1)th term is 1/3, and n = 3, gives;

[tex]\dfrac{1}{3} +\dfrac{1}{\left (\dfrac{3^2 + 3}{2} \right ) } = \dfrac{1}{3} + \dfrac{1}{6} = \dfrac{1}{2}[/tex]

For the 4th term, the (n - 1)th term is 1/2, and n = 4, gives;

[tex]\dfrac{1}{2} +\dfrac{1}{\left (\dfrac{4^2 + 4}{2} \right ) } = \dfrac{1}{2} + \dfrac{1}{10} = \dfrac{3}{5}[/tex]

For the 5th term, the (n - 1)th term is 3/5, and n = 5, gives;

[tex]\dfrac{3}{5} +\dfrac{1}{\left (\dfrac{5^2 + 5}{2} \right ) } = \dfrac{3}{5} + \dfrac{1}{15} = \dfrac{2}{3}[/tex]

For the next or 6th term, the (n - 1)th term is 2/3, and n = 6, gives;

[tex]\dfrac{2}{3} +\dfrac{1}{\left (\dfrac{6^2 + 6}{2} \right ) } = \dfrac{2}{3} + \dfrac{1}{21} = \dfrac{15}{21} = \dfrac{5}{7}[/tex]

The next number of the series 0, 1/3, 1/2, 3/5, and 2/3 = 5/7.

Answer:

24.04%

Step-by-step explanation:

Given that:

Mortgage = $238,000

Number of years = 30

Monthly payment without extra payment= $1220.09

Monthly payment with extra payment = $1420.09

Total amount paid :

Number of months * monthly payment

12 months = 1year

30 years = (30 * 12) = 360 months (without extra payment)

22 years 5 months = (22 * 12) + 5 = 269 months (with extra payment)

Amount paid without extra payment :

$1220.09 * 360 = $439232.4

Percentage of total loan paid as interest :

((439232.4 - 238000) / 238000) * 100%

= 0.8455142 = 84.55%

Amount paid with extra payment :

$1420.09 * 269 = 382004.21

Percentage of total loan paid as interest :

((382004.21 - 238000) / 238000) * 100%

= 0.6050597 = 60.51%

Difference between percentages:

84.55% - 60.51% = 24.04%

Answer:

9

Step-by-step explanation:

270/30=9

Answer:

72

Step-by-step explanation:

To calculate how much 20% of 360 makes we multiply 360 with 20 then divide it with 100

360 × 20 ÷ 100 = 72

Answer:

Phone used 11,500 centimeters of yarn

Step-by-step explanation:

So first we know that 1 meter is equivalent to of 100 centimeters

Now lets convert everything into centimeters

197*100=19700

And thats it

Now we know she started with 19700 centimeters of yarn and has 8200 centimeters left over.

We can make an equation

We can make “x” stand for amount of yarn used.

19700-x=8200

Minus x becuase thats how much she used and equal 8200 becuase Thats what was left over

Now use inver operations

-x=-11,500

Now divide - on both sides

x=11,500

She used 11,500 centimeters of yarn

Answer:   11,500 centimeters of yarn

Step-by-step explanation:

Step-by-step explanation:

We have 8 + 12 + x = 29.

Solving, we get x + 20 = 29, x = 9.

Answer:

9 cm

Step-by-step explanation:

The perimeter of a polygon is the sum of the lengths of all the sides of the polygon.

If a polygon is a triangle, and its 3 sides have length a, b, and c, then the perimeter is the sum of a, b,, and c.

perimeter = a + b + c

Here, the perimeter = 29 cm

The lengths of the sides are a = 8 cm, b = 12 cm, c = x.

8 + 12 + x = 29

x + 20 = 29

x = 9

Answer: 9 cm

Answer:

[tex]\displaystyle x^{-1}=\frac{1}{25}[/tex]

Step-by-step explanation:

We are given the value of x:

[tex]x= (4/5)^{-2}[/tex] divided by [tex](1/4)^2[/tex]

We need to find the reciprocal of x or:

[tex]\displaystyle x^{-1}=\frac{1}{x}=\frac{\frac{1}{4}^2}{\frac{4}{5}^{-2}}[/tex]

Operating:

[tex]\displaystyle x^{-1}=\frac{1}{4}^2*\frac{5}{4}^{-2}[/tex]

[tex]\displaystyle x^{-1}=\frac{1}{16}*\frac{16}{25}[/tex]

[tex]\mathbf{\displaystyle x^{-1}=\frac{1}{25}}[/tex]

Answer:

x < 9

Step-by-step explanation:

Subtract 2 from both sides so you can isolate the variable on the left.

Answer:

64 ounces = 4 pounds

Step-by-step explanation:

Answer:

1) 4    2)1/5   X=10

Step-by-step explanation:

Small to large is a fraction

Large to small is a whole number

Answer:

cost price (cp)=RS.300

Answer:

5. 8(a-5)= -40

8a-40= -40

8a= -40+40

8a=0

a=0/8

a=0

option c is correct.

6. for d,

-1<d<1

I think the answer is option d , which is missing in the attachment.

the 4 question is missing.

so I am not able to answer that

Answer:

A. $0.59

B. $0.57

C. $0.54

The best deal is 25 lbs for $13.59

Step-by-step explanation:

A) 4 lbs for $2.37

Units price (price per lb) = $2.37 / 4

= $0.5925

Approximately $0.59

b) 15 lbs for $8.57

Price per lb = $8.57 / 15

= $0.5713

Approximately $0.57

c) 25 lbs for $13.59

Price per lb = $13.59 / 25

= $0.5436

Approximately $0.54

Which bag (4, 15, or 25) is the best deal?

The best deal is 25 lbs for $13.59

Answer:

15: B. 6

16. D. 12.5

17. B and D

Step-by-step explanation:

Answer:

11x20

Step-by-step explanation:

15=5 equals 20 so 11x20 is 220

Answer:

11 and 12

Step-by-step explanation:

Let the consecutive integers be x and x+1

The lesser integer = x

The greater integer = x+1

Two times the greater of two consecutive integers is expressed as;

2(x+1) = 2x+2.

9 less than three times the lesser integer is expressed as;

3x - 9

Equate both expression

2x+2 = 3x - 9

2x-3x = -9-2

-x = -11.

x = 11

The greater integer = x+1 = 11+1 = 12

Hence the integers are 11 and 12

Answer:

11 and 12

Step-by-step explanation:

credit:answer above me

Answer:

36

Step-by-step explanation:

The angles of a triangle have a sum of 180 degrees. This is an isosceles triangle indicated by the red markers on sides ED and EF. This means that the sides and angles are congruent.

Subtract 108 from 180 and divide that by 2.

180-108 = 72

72/2 = 36

Answer:

Yes I will always help someone in need. Your answer is x= >12/5

Step-by-step explanation:

Add me and ask any question.Please give me Brainiest

Answer:

y=6x+1

Step-by-step explanation:

count from your first point (0,-5) then count up to positive 1 on the y-axis, then go over 1 and you are at your other point. when you count up that is your slope. when you count over that is your b

Step-by-step explanation:

There are 12 white tiles surrounding 3 green tiles, and 16 white tiles surrounding 5 green tiles.

Common difference = (16-12)/(5-3) = 2.

Hence number of white tiles = 2n + 6.

Answer:

Ans is C

Step-by-step explanation:

Answer: the answer is b!

Step-by-step explanation: Hope this helps! Merry Christmas!

Answer:

15 feets per second

Step-by-step explanation:

Given that:

Distance traveled by plane = 300 feets

Time taken by plane to travel such distance = 20 seconds

Rate at which the plane is diving is obtained thus :

Distance / time

= 300 feets / 20 seconds

= 15 feets / second

Hence, the plane is diving at a rate of 15 feets per second.

i think its 2 gallons

Answer:

A(3) = -6 + (3 - 1) (5)

-6 + (2)(5)

-6 + (10)

4

A(4) = -6 + (4 - 1) (5)

-6 + (3)(5)

-6 + 15

9

A(10) = -6 + (10 - 1) (5)

-6 + (9)(5)

-6 + 45

39

Answer:

X < 2

If you need an explanation, feel free to leave a comment

Cheers! :)