Which of the following would not represent the phrase “the difference of two numbers divided by 5”?

Uber charges $0.80 per mile and a booking fee of $2.30. Lyft charges $1.07 per mile with no booking fee. Which of the systems of

gregori [183]

Answer:

Step-by-step explanation:

Let c represent the total cost of booking either Uber or Lyft for x miles.

Let m represent the number of miles ridden with either Uber or Lyft.

Uber charges $0.80 per mile and a booking fee of $2.30. This means that the total cost of riding with Uber for m miles would be

c = 2.30 + 0.8m - - - - - - - - - -1

Lyft charges $1.07 per mile with no booking fee. This means that the total cost of riding with Lyft for m miles would be

c = 1.07m - - - - - - - - - -2

Equation 1 and equation 2 are the system of equations that bests models this situation

8 0

3 years ago

When a constant force acts upon an object, the acceleration of the object varies inversely with its mass. When a certain constan

vitfil [10]

Answer:

$a = 6m/s^2$

Step-by-step explanation:

Given

When mass = 4kg; Acceleration = 15m/s²

Required

Determine the acceleration when mass = 10kg, provided force is constant;

Represent mass with m and acceleration with a

The question says there's an inverse variation between acceleration and mass; This is represented as thus;

$a\ \alpha\ \frac{1}{m}$

Convert variation to equality

$a = \frac{F}{m}$ ; Where F is the constant of variation (Force)

Make F the subject of formula;

$F = ma$

When mass = 4kg; Acceleration = 15m/s²

$F = 4 * 15$

$F = 60N$

When mass = 10kg; Substitute 60 for Force

$F = ma$

$60 = 10 * a$

$60 = 10a$

Divide both sides by 10

$\frac{60}{10} = \frac{10a}{10}$

$a = 6m/s^2$

Hence, the acceleration is  $a = 6m/s^2$ 

4 0

3 years ago

What is the slope of the graph of the equation 4x - 6y=2? A.-4 B.-1 C.2/3 D.3/2

yarga [219]

It is C 2/3 because 4x=2 and 6y=3

8 0

2 years ago

Read 2 more answers

5x = 40 what does the x going to equal

storchak [24]

start by diving 5 from each side so you are lrft with x on the left side, 40/5=8. now our equation is x=8 and that's the answer!

8 0

1 year ago

Read 2 more answers

Construct the graph of the equation y=kx if it is known that the point B belongs to the graph. The graph of which of these two e

PIT_PIT [208]

Answer:

The graph with B(2,-3) i.e) y= $\frac{-3}{2}$ x goes through the point M(-10,15).

Step-by-step explanation:

Consider M(-10,15) and given that equation is y = kx.

Now, substitute M(-10,15) in the equation

⇒ 15 = k × -10

⇒ k = $\frac{15}{-10}$ = $\frac{-3}{2}$

⇒ y = $\frac{-3}{2}$ x

Now, check with the given points B(2,-3) and B( $3\frac{1}{3}$ , -2)

1) B(2,-3)

y = $\frac{-3}{2}$ x

⇒(-3) = $\frac{-3}{2}$ × 2

⇒ -3 = -3 ⇒ LHS = RHS

⇒ B(2,-3) is the required point.

2) for b( $3\frac{1}{3}$ , -2)

LHS ≠ RHS.

So,The graph with B(2,-3) i.e) y= $\frac{-3}{2}$ x goes through the point M(-10,15).

8 0

2 years ago