Solve for v. u=vw +z.

Answer:

The answer to this question is C: (72,24).

Step-by-step explanation:

According to the information provided:

The price of one cap is $5

The price of one t-shirt is $10

Let x represent the number of caps sold

Let y represent the number of t-shirts sold

The drama club aims to raise at least $500 for their trip.

Inequality: 5x + 10y ≥ 500 (The greater than or equal to symbol indicates the drama club needs at least $500 for the journey.Next, we need to ascertain the number of caps and t-shirts sold.

- We can eliminate

of the options which are

because we understand that multiplying a positive by a negative yields a negative, which is unacceptable. (Thus, Options A and D are not valid.)Now we will substitute x and y into our inequality equation (5x + 10y ≥ 500)B) x = 65 caps, y = 17.5 t-shirts ------> 5(65) + 10(17.5) = 500 results in $500

YOU MAY THINK THIS IS THE ANSWER, BUT! if you look closely at variable y, it indicates they sold 17.5 t-shirts; however, consider how can you sell 17.5 t-shirts?

Thus, this option is also invalid!

$600

which exceeds the required $500 that they needed. Therefore, the correct choice for this question is C, indicating they sold 72 caps and 24 t-shirts, accumulating $600.

Answer:

A scale transformation that contracts and is subsequently followed by a reflection.

Step-by-step explanation:

A contraction with a scale factor less than 1, followed by a reflection, constitutes the combination of similarity transformations that maps polygon ABCD to polygon A'B'C'D.

Answer:

P-value = 0.0455

Step-by-step explanation:

This inquiry focuses on calculating the P-value in a test.

Mathematically, we establish that;

P-value = 2 * P(Z > |z|)

Please refer to the attached document for a comprehensive resolution and step-by-step explanation

Answer: C) HF measures 4 units and GH is 2 units.

Step-by-step explanation:

The SSS similarity theorem asserts that triangles are similar if the lengths of their corresponding sides are in proportion.

For triangles ΔDFE and ΔGFH:

DG equals 15, GF is 5, EH equals 12, and DE is 8.

To demonstrate the similarity of ΔDFE and ΔGFH according to the SSS similarity theorem, we require:

Thus, to confirm that △DFE is similar to △GFH utilizing the SSS similarity theorem and the data from the diagram, it is essential to establish that HF measures 4 units and GH measures 2 units.