Equation 1: x + 3y = 1

Determina si 2018 es un termino de la siguiente progresion aritmetica 17,46,75,104,133,....

Kitty [74]

2018 is the 70th term of the progression.

Explanation
We start out finding the common difference of the progression:
46-17 = 29

Now we write the explicit formula for the sequence. It is of the form
$a_n=a_1+d(n-1)
\\
a_n=17+29(n-1)$

We set this equal to 2018 to see if the answer is a whole number. If it is, it will be the term number that gives us 2018:

2018=17+29(n-1)

Using the distributive property,
2018=17+29*n-29*1
2018=17+29n-29

Combine like terms:
2018=29n-12

Add 12 to both sides:
2018+12=29n-12+12
2030=29n

Divide both sides by 29:
2030/29=29n/29
70=n

Since n=70, this means 2018 is the 70th term of the sequence.

8 0

3 years ago

Jason compares the price of oranges at 4 stores,

prisoha [69]

Answer/Step-by-step explanation:

To Find the best price divided each

Kroger → 1.52/4=0.38

Publix → 175/5=35

Ingles → 1.02/3=0.34

Walmart → 2.46/6=0.41

Base on the data we can tell that Ingles have the best price.

7 0

2 years ago

1. In a city in Ohio, the sales tax rate is 7.25%. Complete the table to sho

lawyer [7]

Answer

the answer is 76%

Step-by-step explanation:

I did all my equations and showed my work

7 0

3 years ago

What number to the power of 3 equals 27 over 729

Olin [163]

Answer:

x= 1/3 =0.333

Step-by-step explanation:

6 0

3 years ago

Assume we cut the last piece of the pie into two sections (1 and 2) along ray BD

earnstyle [38]

Answer:

If we want the greatest portion of pie, then you must choose the section with the greatest angle. Therefore, we must choose Section 2. But if we want the smallest portion of pie, then we must choose Section 1.

Step-by-step explanation:

From statement, we know that measure of the angle ABC is equal to the sum of measures of angles ABD (<em>section 1</em>) and DBC (<em>section 2</em>), that is to say:

$m \angle ABC = m\angle ABD + m\angle DBC$ (1)

If we know that $m\angle ABC = 40^{\circ}$ , $m\angle ABD = 2\cdot x + 3$ and $m\angle DBC = 4\cdot x + 7$ , then the value of $x$ is:

$(2\cdot x + 3)+(4\cdot x + 7) = 40^{\circ}$

$6\cdot x +10^{\circ} = 40^{\circ}$

$6\cdot x = 30^{\circ}$

$x = 5$

Then, we check the angles of each section:

Section 1

$m\angle ABD = 2\cdot x + 3$

$m\angle ABD = 13^{\circ}$

Section 2

$m\angle DBC = 4\cdot x + 7$

$m\angle DBC = 27^{\circ}$

If we want the greatest portion of pie, then you must choose the section with the greatest angle. Therefore, we must choose Section 2. But if we want the smallest portion of pie, then we must choose Section 1.

6 0

3 years ago