Mathematics, 02.05.2021 20:10 Jenniferwolf

3. Adam bought 3 pens and 4 pencils for $4.25. Lily bought 2 pens and 6 pencils for $4.50. How much is a pen? a pencil?

Answers: 2

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Make two equations
Let x = pen
Let y = pencil
3x + 4y = 4.25
2x + 6y = 4.50
Make both coefficients equal
(3x + 4y = 4.25) * 2
(2x + 6y = 4.50) * 3
6x + 8y = 8.5
6x + 18y = 13.5
Subtract both sides
-10y = -5, y = 0.50
3x + 4(0.50) = 4.25
3x + 2 = 4.25
3x = 2.25, x = 0.75

Pen = $0.75
Pencil = $0.50

Answer from: Quest

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.

Answer from: Quest

see below

step-by-step explanation:

x+2> 6

subtract 2 from each side

x+2-2 > 6-2

x > 4

there is an open circle at 4 since is it is greater than and the line goes to the right

Which graph represents the solution set of the inequality x+2> 6

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3. Adam bought 3 pens and 4 pencils for $4.25. Lily bought 2 pens and 6 pencils for $4.50. How much...

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