In cents, what is the least total amount that cannot be obtained by using a combination of fewer than eight coins from a collection pennies, nickels, dimes and quarters?

176 cents

Step-by-step explanation:

We need to find an amount that cannot be obtained by using a combination of coins whose total is less than 8.

For that purpose, first, we need to find the greatest amount that can be obtained from 7 coins of pennies, nickels, dimes and quarters.

One cent more than that amount will be the correct amount we need to find.

The greatest amount from 7 coins will be 7 quarters.

7 quarters = 7 × 25 = 175 cents

Now, 175 + 1 = 176 cents is the least total amount that cannot be obtained by using a combination of fewer than eight coins from pennies, nickels, dimes and quarters.

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.

0.038

step-by-step explanation: