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3 years ago

Which situation best represents the following equation? 30 + 4x = 70 + 2x

Mathematics

1 answer:

pishuonlain [190]3 years ago

3 0

Answer:

There are two limo companies that charge based on the number of people, x, that they carry. Limo A charges $30 per person. Limo B charges $70 plus $2 per person. How many people can ride to make the two companies charge the same amount?

Step-by-step explanation:

You might be interested in

A rental car company offers a rental package for a mid-size car.

skelet666 [1.2K]

Answer:

$y=45x+40$

Step-by-step explanation:

Let

x -----> the number of days

y ----> the total cost in dollars,

we know that

The equation of a linear function in slope intercept form is equal to

$y=mx+b$

where

m is the slope o rate of the linear equation

b is the y-coordinate of the y-intercept

Remember that the y-intercept is the value of y when the value of x is equal to zero

In this problem we have

The slope is equal to the rental cost per day

$m=45\frac{\$}{day}$

When the number of days is equal to zero (x=0) the total cost is equal to $40 (administrative fee for the cleaning and maintenance of the car)

The y-intercept is the point (0,40)

$b=\$40$

substitute the values

$y=45x+40$

8 0

3 years ago

For the function f(x) = x + 4, what is the ordered pair for the point on the graph when x = 3p?

sweet-ann [11.9K]

F ( x ) = x + 4
x = 3 p
f ( 3 p ) = 3 p + 4
Answer. D )
The ordered pair is:
( x, y ) = ( 3 p, 3 p + 4 )
Thank you.

6 0

2 years ago

3x - 4y = -16 2x - 4y = -8 what is x and y

FinnZ [79.3K]

Answer:

x = -8 , y = -2

Step-by-step explanation:

Solve the following system:

{3 x - 4 y = -16 | (equation 1)

2 x - 4 y = -8 | (equation 2)

Subtract 2/3 × (equation 1) from equation 2:

{3 x - 4 y = -16 | (equation 1)

0 x - (4 y)/3 = 8/3 | (equation 2)

Multiply equation 2 by 3/4:

{3 x - 4 y = -16 | (equation 1)

0 x - y = 2 | (equation 2)

Multiply equation 2 by -1:

{3 x - 4 y = -16 | (equation 1)

0 x+y = -2 | (equation 2)

Add 4 × (equation 2) to equation 1:

{3 x+0 y = -24 | (equation 1)

0 x+y = -2 | (equation 2)

Divide equation 1 by 3:

{x+0 y = -8 | (equation 1)

0 x+y = -2 | (equation 2)

Collect results:

Answer: {x = -8 , y = -2

4 0

2 years ago

PLEASE HELPPP

Gemiola [76]

Answer:

Container A is filling more quickly because the line is steeper and has a higher C.O.P

Step-by-step explanation:

6 0

3 years ago

How can I make 8 and 62/40 a proper mixed number

Lina20 [59]

You can't make it proper.You can only simplify.
Step 1: Factor both the numerator and denominator down to prime factors:62 = 2 * 31 
40 = 23 * 5Step 2: Calculate the greatest common factor, GCF (also called greatest common divisor, GCD), by taking all the common prime factors of the numerator and denominator, by the lowest powers:gcd(2 * 31; 23 * 5) = 2 
Step 3: Divide both the numerator and denominator by their greatest common factor, GCF (also called the greatest common divisor, GCD):62/40 =
(2 * 31)/(23 * 5) =
((2 * 31) : 2) / ((23 * 5) : 2) =
31/(22 * 5) =
31/20Step 4: Improper fraction, rewrite:31 : 20 = 1 and remainder = 11 => 
31/20 = (1 * 20 + 11) / 20 = 1 + 11/20 = 1 11/20 as a mixed number (also called mixed fraction).1 + 11 : 20 = 1.55 as a decimal number.

6 0

2 years ago

Read 2 more answers