sari has 3 times as many pencil erasers Sam. Together, they have 28 erasers.  How many erasers does Sari have

Y = 12x - 40

the x variable denotes the total number of hours Sam spends working at the airport
the y value signifies how much money Sam has after compensating Daniel
the 12 represents the amount Sam earns per hour in dollars
the 40 indicates the dollar amount Sam owes to Daniel

We want v alone, so subtract w from both sides to move it over

This leaves 5/9 v = z - w

Next, eliminate the fraction multiplying v by multiplying both sides by its reciprocal

The reciprocal of 5/9 is 9/5

(5/9) × (9/5) cancel each other, leaving v isolated on the left

The right-hand side becomes 9/5 (z - w)

Combine to get:

v = 9/5 (z - w)

There you go!:D

 

112°. The explanation step-by-step: As trapezoid RSTU has congruent diagonals, it qualifies as an Isosceles Trapezoid. A defining property of Isosceles Trapezoids is that the base angles are equivalent. Therefore, if angle S measures 112°, angle U must also measure 112°.

Response:

Events A and B exhibit independence.

Detailed explanation:

We are provided with

The multiplication principle applicable to events A and B

A correct assertion regarding events A and B is necessary for this principle to hold.

It is understood that for two events A and B to be independent

Consequently, the probability

Thus, the correct assertion concerning events A and B for the application of this principle is stated as

Events A and B are independent.

Response:

b + d = 180°, a = d, and a = c

Detailed explanation:

In the diagram, we observe that the only condition for the lines to be parallel is that the angles correspond with their counterparts, for instance, a must equal d. The equation a = c indicates that all angles must be equal for lines m and n to remain parallel. Finally, the equation b + d = 180° confirms that this holds true only if lines m and n are parallel.