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.

for this case we have by definition, if two lines are perpendicular, then the product of their slopes is -1.

then, given the following line:

so,

we are looking for m_ {2}:

then, the line is given by:

we find "b" replacing the given point:

finally, the equation is:

option c

answer: 800

step-by-step explanation: