12-5x-4kx=y solve for x

8.96 gallons of water

To solve this question, you multiply the ratio of the volumes of container b to container a by the volume of container a. As container b has a greater volume than container a, the ratio will be greater than 1. In this scenario, it is 112% since it includes a 12% increase: 100% + 12% = 112%. Consequently, the volume of container b is calculated as 112% x 8 gallons = 8.96 gallons.

Answer:

X ball bearings can be produced in 1 hour and 20 minutes

Step-by-step explanation:

Proportions

Proportions serve as an essential method for solving various common challenges. We understand that:

Company ABC manufactures X ball bearings in 3 hours.

Company DEF produces X ball bearings in 4 hours.

Company GHI generates X ball bearings in 6 hours.

In a single hour, each company is capable of producing:

ABC: X/3 ball bearings

DEF: X/4 ball bearings

GHI: X/6 ball bearings

By collaborating, they can produce

ball bearings. Operating together

If their output is 3/4 of a ball bearing in one hour, then it will take

hours to create one complete ball bearing. This translates to 1 hour and 20 minutes.

X ball bearings can be produced in 1 hour and 20 minutes

His hourly wage was $13.25, and he just got a 15% increase.
Calculating: 13.25 + 0.15 × 13.25 = 13.25 + 1.99 = 15.24 dollars per hour with the raise.

For 2080 hours, the total yearly pay is:
15.24 × 2080 = 31,699.20 <==

Answer:

The correct options are:

The term 5x³ can be removed

The power of the first term, 5x³, can be modified to 2 and combined with the second term, 2x²

Explanation:

The degree of an expression is identified by its highest exponent.

The expression in question is:

5x³ + 2x² + 7x - 3

Observing this, we see that the highest exponent is 3, indicating that the expression’s degree is 3.

A quadratic function is defined as having degree 2, meaning the highest degree must be 2.

Thus, Martha must eliminate the term with degree 3 (5x³) from her function.

This can be achieved through two methods:

1- She can simply remove the term with the third degree.

2- She can change the term with degree 3 to a lower degree and combine it with an existing like term.

Evaluating the options, we conclude the two accurate choices are:

- The term 5x³ can be eliminated.

- The exponent on the first term, 5x³, can be reduced to 2 and subsequently joined with the second term, 2x².

I hope this is helpful!:)

Answer:

The area calculates to 83.905 cm^3

Step-by-step explanation:

The overall ratio is 9 + 7 + 6 = 22

Thus, the side lengths are computed as follows;

9/22 * 44 = 18 cm

7/22 * 44 = 14 cm

6/22 * 44 = 12 cm

Heron’s formula allows us to determine the area of the triangle

First, we calculate s

s = (a + b + c)/2 = (18+14+12)/2 = 44/2 = 22

Heron’s formula can be expressed as;

A = √s(s-a)(s-b)(s-c)

where a, b, and c are 18, 14, and 12 respectively

Plugging in the values, we obtain;

A = √22(22-18)(22-14)(22-12)

A = √(22 * 4 * 8 * 10)

A = √(7,040)

A = 83.905 cm^3