Match each statement to its converse. If two events don’t occur at the same time, then they are mutually exclusive events. If a coin isn’t tossed, then neither heads nor tails occurs. If the number of elements in a sample space isn’t 6, then a die isn’t rolled once. If a heads or a tails occurs, then a coin is tossed. If the number of elements in a sample space is 6, then a die is rolled once. If two events occur at the same time, then they aren’t mutually exclusive events. If two events are mutually exclusive, then they don’t occur at the same time. arrowRight If a die is rolled once, then the number of elements in the sample space is 6. arrowRight If a coin is tossed, then a heads or a tails must occur. arrowRight

x is variable or an unknown value to find

example:

2x = 5 which means x = 3

10 glasses of juice could be made with 5 carrots, 1,500 orange juice, 2,000 papaya juice.

the answer is 48m^2!

step-by-step explanation:

ratios represent a pattern or relationship that can be scaled.

equivalent ratios are pairs of ratios that represent the same relationship between quantities, and can be generated by multiplying or dividing both quantities in the ratio by the same factor.

in this lesson, students will use double number lines and ratio reasoning to solve ratio problems. by partitioning double number lines into proportionate intervals, students will build an understanding of equivalent ratio relationships as those that are generated by multiplying or dividing two related quantities by the same number. this lesson will build upon students' prior understanding of multiplicative comparisons, number line reasoning and equivalent fractions (while highlighting the difference between equivalent fractions and equivalent ratios); and will build toward future work in this unit on building ratio tables, and work in future grades in proportionality, scaling, and expressing and graphing linear functions.

step-by-step explanation:

ratios represent a pattern or relationship that can be scaled.

equivalent ratios are pairs of ratios that represent the same relationship between quantities, and can be generated by multiplying or dividing both quantities in the ratio by the same factor.

in this lesson, students will use double number lines and ratio reasoning to solve ratio problems. by partitioning double number lines into proportionate intervals, students will build an understanding of equivalent ratio relationships as those that are generated by multiplying or dividing two related quantities by the same number. this lesson will build upon students' prior understanding of multiplicative comparisons, number line reasoning and equivalent fractions (while highlighting the difference between equivalent fractions and equivalent ratios); and will build toward future work in this unit on building ratio tables, and work in future grades in proportionality, scaling, and expressing and graphing linear functions.