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3 years ago

HELP ASAP!!! what similarities and differences did you notice between the three types of compound inequalities?

Mathematics

2 answers:

rodikova [14]3 years ago

8 0

Similarities

Adding or subtracting a number from both sides.

Multiplying or dividing both sides by a positive number.

Applying an increasing function to both sides.

Simplifying one or both sides.

Differences

Multiplying or dividing both sides by a negative number changes the direction of an inequality. So we cannot multiply or divide both sides by a variable unless we know that the variable is either always positive or always negative. This is not a concern when solving equalities.

When applying a decreasing function to both sides of an inequality, the direction of the inequality changes.

Swapping both sides of an inequality also changes the direction of an inequality. Again we don't have to worry about this with equalities.

Setler79 [48]3 years ago

4 0

Answer:Double inequalities are similar to and compound inequalities, in that their solutions need to satisfy two inequalities. However, solutions to or compound inequalities can include values that are included in either one of the two solution regions.

Step-by-step explanation:

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Match each circular flower bed on the left to its circumference and its area on the right. Some answer options on ti

user100 [1]

Answer:

Flower bed A has circumference = 31 feet, area = 79 feet²

Flower bed B has circumference = 38 feet, area = 113 feet²

Step-by-step explanation:

* Lets revise the rules of the circumference and the area of the circle

- The circumference of the circle = 2πr

- The Area of the circle = πr²

- r is the radius of the circle and it is half the diameter of the circle

# Flower bed A has a diameter 10 feet

∵ The radius = 1/2 the diameter

∴ The radius = 1/2 × 10 = 5 feet

∵ The circumference = 2πr

∴ The circumference = 2 × π × 5 = 31.42 ≅ 31 feet

∵ The area = πr²

∴ The area = π (5)² = 78.54 ≅ 79 feet²

* Flower bed A has circumference = 31 feet, area = 79 feet²

# Flower bed B has a radius 6 feet

∵ The circumference = 2πr

∴ The circumference = 2 × π × 6 = 37.70 ≅ 38 feet

∵ The area = πr²

∴ The area = π (6)² = 113.10 ≅ 113 feet²

* Flower bed B has circumference = 38 feet, area = 113 feet²

* These answers not in the choices

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3 years ago

Avery uses a blend of dark chocolate and milk chocolate to make the ice cream topping at her restaurant. She wants to buy 10 kg

Ksju [112]

Answer:

$d = m + 10\\d+m=150$

Step-by-step explanation:

If Avery wants the amount of dark chocolate (d) to be 10 kg higher than the amount of milk chocolate (m), then the following relationship must be true:

$d = m + 10$

If the total amount of chocolate must equal 150 kg, then:

$d+m=150$

The system of equations that represent this situation is:

$d = m + 10\\d+m=150$

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Inessa05 [86]

Answer:

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