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3 years ago

What is next letter BE GJ LO QT

1 answer:

3 0

<span>The letters BE GJ LO QT forms a sequence in which the first letter of each term is formed by counting five alphabets from the first letter of the preceding term while the last letter of each term is also formed by counting five alphabets from the last letter of the preceding term. Therefore, the next term in the sequence is VY.</span>

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Translate this statement into an equation.

yanalaym [24]

Answer:

1/2x = 3*(27-12)

Step-by-step explanation:

Let x be the number

Is means equals

Difference means subtract

1/2x = 3*(27-12)

3 0

3 years ago

Read 2 more answers

Chelsea takes the bus to school, but she walks home. The bus travels to the school at an average speed of 45 miles per hour. Whi

Neko [114]

Answer:

time walking=1-t hrs

ditace is same

therefore 2.5*(1-t)=45*t

2.5-2.5t=45t

t=2.5/46.5 hrs

this has only one solution since it is in linear form

4 0

3 years ago

Read 2 more answers

At one gym, there is a $12 start-up fee, and after that each month at the gym costs $20. At another gym, it costs $4 to startup,

mart [117]

Answer:

In 4 months the cost of both gyms will be the same.

Step-by-step explanation:

At first we need to model the function to calculate the cost of the 2 gyms.

Slope-intercept equation of linear function

$f(x)=mx+b$

where

$m\rightarrow$ slope of line

$b\rightarrow$ y-intercept

Let linear function to calculate total cost of gym be:

$c(n)=mn+b$

where

$c\rightarrow$ total cost of gym

$m\rightarrow$ cost per month (slope)

$n\rightarrow$ number of months

$b\rightarrow$ start-up fee (y-intercept)

For Gym 1

$m=20$ , $b=12$

$c(n)=20n+12$

For Gym 2

$m=22$ , $b=4$

$c(n)=22n+4$

In order to find the number of months the cost of both gyms will be the same, we need to equate both functions and solve for number of months $(n)$

$20n+12=22n+4$

$\\\textrm{Subtracting 22n from both sides}\\20n-22n+12=22n-22n+4\\-2n+12=4\\\textrm{Subtracting 12 from both sides}\\-2n+12-12=4-12\\-2n=-8\\\textrm{Dividing both sides by -2}\\\frac{-2}{-2}n=\frac{-8}{-2}\\n=4\textrm{ months}$

So,

In 4 months the cost of both gyms will be the same.

5 0

3 years ago

Find the other x-intercept for the parabola defined by this equation y=2x2+3-2

ASHA 777 [7]

Answer:

( $\frac{1}{2}$ , 0 )

Step-by-step explanation:

To find the x- intercepts let y = 0, that is

2x² + 3x - 2 = 0

Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 2 × - 2 = - 4 and sum = + 3

The factors are + 4 and - 1

Use these factors to split the x- term

2x² + 4x - x - 2 = 0 ( factor the first/second and third/fourth terms )

2x(x + 2) - 1 (x + 2) ← factor out (x + 2) from each term

(x + 2)(2x - 1) = 0

Equate each factor to zero and solve for x

x + 2 = 0 ⇒ x = - 2

2x - 1 = 0 ⇒ 2x = 1 ⇒ x = $\frac{1}{2}$

The x- intercepts are (- 2, 0 ), ( $\frac{1}{2}$ , 0 )

8 0

2 years ago

Sales tax is ,<br> to the price

liberstina [14]

Sales tax is a percentage of the sale price of an item that is then added on to the total price of the item.

Example:

let's say you are buying an item priced at $10.00 and the sales tax rate is 6%. Sales tax rates can vary from state to state and even within counties or cities.

4 0

2 years ago