Brianna's teacher asks her which of these three expressions are equivalent to each other. Expression A: 9x - 3x - 4 Expression B

Answer:2688.63 miles

Step-by-step explanation:

Given

The distance from Paris to Los Angeles

Wind traveling at 100 mph from Los Angeles to Paris

The velocity of the plane through still air is

Relative velocity of Plane A is since Plane A is heading against the wind

Relative velocity of Plane B is

Plane A departs at noon

Distance covered by Plane A in 1 hour

The total separation distance between the planes is

Assuming they meet after t hours

Distance covered by Plane B in that time frame

Distance traveled by Plane A in t hours is

The total distance equals 4550 miles

Distance traveled by B is

thus, they meet at a point 2688.63 miles away from Los Angeles.

Let x represent the number of caps

cost per cap = $6

cost for x caps = 6x

shipping charge = $25

overall budget = $1000

We can set up the following inequality:

Because the total amount cannot exceed 1000, we have

25 + 6x ≤ 1000

6x ≤ 975

x ≤ 162.5

rounding,

x ≤ 163

This means she can purchase a maximum of 163 caps.

Response:

The correct choice is option C

The proportion of green marbles to red marbles is 3: 1

Step-by-step breakdown:

According to the problem statement:

A bag holds 44 marbles, comprising both red and green ones.

⇒Total marbles = 44

If it includes 11 red marbles.

Then;

Green marbles = Total marbles - red marbles.

By substituting the values provided,

Green marbles = 44 - 11 = 33

We are tasked with determining the ratio of green marbles to red marbles.

Consequently, the ratio of green to red marbles is 3: 1

Given the specified angles, one is 90 degrees, indicating that the triangle is a right triangle. With provided angles and one side representing the hypotenuse (the longest side), the area is determined using the formula: Area = 1/2 * base * height. Let's compute the height and base:

From sin 75, we derive height = 1.67.
And from cos 75, we obtain base = 0.45.

Calculating area gives us Area = (0.45 * 1.67) / 2, resulting in 0.37 square units.

Thus, the triangle's area is approximately 0.37 square units.

Response:

2/9 = 0.22

Clarification:

There are two ways to select the first number that is odd and less than 5: 1 and 3.

For each of these, the second number drawn can be any of the values from 1 to 9, giving us a total of 18 options.

Out of these, the only pairs that result in a sum less than 5 are (1,1), (1,2), (1,3), and (3,1). Thus we have 4 combinations from the total of 18:

4/18 = 2/9 = 0.22