"In Grade 2 and early in Grade 3, students learned to use bar models to solve two-step problems involving addition and subtraction. This is extended in this chapter to include multiplication and division.
Both multiplication and division are based on the concept of equal groups, or the part-part-whole concept, where each equal group is one part of the whole. In Grade 2, students showed this with one long bar (the whole) divided up into equal-sized parts, or units. This unitary bar model represents situations such as basket of apples being grouped equally into bags. " <span>https://www.sophia.org/tutorials/math-in-focus-chapter-9-bar-modeling-with-multipli</span>
Answer:
Yes, no two ordered pairs in this list has the same second element.
Step-by-step explanation:
The function is a relation that associates to different elements and different elements and
Given K = {(-3, -3), (-4, -4), (-5, -5), (-6, -6)}
So,
Since different x have different image points y, this relation is the function. The correct answer is "Yes, no two ordered pairs in this list has the same second element."
Answer:
1/3
Step-by-step explanation:
Rise is 1, run is 3, and slope is rise over run. Hope this help. God bless! :)
Answer:
Amount of vinegar. 100% : 20 milliliters
Amount of Italian dressing: 140 milliliters
Step-by-step explanation:
Let's call A the amount of vinegar. 100%
Let's call B the amount of Italian dressing . 12% vinegar
The resulting mixture should have 23% vinegar, and 160 milliliters.
Then we know that the total amount of mixture will be:
Then the total amount of pure antifreeze in the mixture will be:
Then we have two equations and two unknowns so we solve the system of equations. Multiply the first equation by -1 and add it to the second equation:
+
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We substitute the value of B into one of the two equations and solve for A.