you began membership in a new health and fitness club which has access to a dietician and personal trainer. They help you develop a special eight-week diet and exercise program. The data in the following table represents your weight, w, as a function of time, t, over an eight-week period. Time (weeks) 0 1 2 3 4 5 6 7 8 Weight (lb) 150 144 143 141 140 137 137 132 129. If you lost 13 pounds in the first five weeks, what is the average rate of change of weight with respect to time over the first five weeks of the program?

The correct answer is:

3x + 1.5y ≤ 25

Explanation:

The variable x represents the number of board games.  Each one weighs 3 pounds, which gives us the expression 3x.

The variable y represents the number of remote control cars.  Each one weighs 1.5 pounds, which gives us the expression 1.5y.

The sum of their weights gives us the expression 3x+1.5y.

Since the box can hold no more than 25 pounds, the inequality must be less than or equal to:

3x+1.5y≤25

Answer:

THE ANSWER IS 3x+1.5y ≤  25

Step-by-step explanation:

Answer:

Let's say we have an expression x * y + z * w, where x, y, z and w are numbers.

We can use the commutative property to change the order of the summands:

x * y + z * w = y * x + w * z = (y + z) * x + w

Since we have a sum of two products, we can use the associative property to combine them:

(y + w) * (x + 15) = 160

By dividing both sides of the equation by 2, we get:

(y + w) / 2 * (x + 15) / 2 = 80

We can then simplify this expression using the distributive property:

(y / 2) + (w / 2) * (x / 2) + (15 / 2)

Since the numbers are all positive, we can cancel out the halves on the left, and combine the remaining terms:

y / 2 + (w / 2) * x + 15 / 2 = 80

Finally, we can simplify this expression by dividing both sides of the equation by the constant fraction:

y / 2 + (w / 2) * x + 15 / 2 = 80

(y / 2) + (w / 2) * (x / 2) + (15 / 2) = 80

Simplifying this expression, we get y / 2 + (w / 2) * x / 2 + 15 / 2 = 40.

By simplifying the last term further, we get:

y / 2 + (w / 2) * x / 2 + 7.5 = 40

Therefore, the equation that simplifies to 160 is this one:

y / 2 + (w / 2) * x / 2 + 7.5

I hope this helps!

Answer:

Step-by-step explanation:

The Weight of Ingredients to be used by Chef Selena are:

• pounds of pasta,
• 6 pounds of sauce; and
• pounds of onions.

Total Weight of Food Made, x

Since each serving is

Number of Servings of her dish, y

The two equations needed to solve the problem are therefore:

Answer: B and C

Step-by-step explanation:The line that contains the points P (3, 3) and Q (9, 21) can be represented by the equation y = 3x + 6 1. To determine which of the following points lie on this line, we can substitute the x and y coordinates of each point into the equation and check if it holds true.

Let’s start with point A (1, 5). Substituting x = 1 and y = 5 in the equation, we get:

5 = 3(1) + 6

This is not true. Therefore, point A does not lie on the line.

Next, let’s check point B (6, 15). Substituting x = 6 and y = 15 in the equation, we get:

15 = 3(6) + 6

This is true. Therefore, point B lies on the line.

Finally, let’s check point C (12, 33). Substituting x = 12 and y = 33 in the equation, we get:

33 = 3(12) + 6

This is true. Therefore, point C lies on the line.

Therefore, points B and C lie on the line that contains points P and Q.

The solution of b for the value of b will be 8.

What is an expression?

In mathematics, expression is defined as the relationship of numbers, variables, and functions using mathematical signs such as addition, subtraction, multiplication, and division.

Expression in maths is defined as the relation of numbers variables and functions by using mathematical signs like addition, subtraction, multiplication and division.

The given expression 15+b=23 will be solved as below,

15+b=23

b = 23 - 15

Subtract the number 15 from 23,

b = 8

Therefore, the solution of b for the value of b will be 8.

To know more about an expression follow

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