Astack of 100 pennies is 6.1 a stack of a 100 dimes is 5.3 inches tall how much taller is a stack of 10 pennies than a stack of ten dimes

The stack of 10 pennies is 0.08 inches taller than a stack of 10 dimes.

Step-by-step explanation:

A stack of 100 pennies is 6.1 inches tall and a stack of 100 dimes is 5.3 inches tall . From the initial statement we can conclude a stack of pennies is taller than same  number of stack of dimes.

The question asked us to find how much taller a stack of 10 pennies  than a stack of 10 dimes.

Firstly, the stack of 10 pennies height and the stack of 10 dimes height need to be calculated before knowing how much taller through the difference.

since stacked 100 pennies  is 6.1 inches

stacked 10 pennies = ?

cross multiply

height of stacked 10 pennies = (10 × 6.1)/100

height of stacked 10 pennies = 61/100

height of stacked 10 pennies = 0.61 inches

since stacked 100 dimes is 5.3 inches

stacked 10 dimes = ?

cross multiply

height of stacked 10 dimes = (10 × 5.3)/100

height of stacked 10 dimes = 53/100

height of stacked 10 dimes = 0.53 inches

The difference in height is 0.61 - 0.53 = 0.08  inches

there are many solutions.

step-by-step explanation:

step 1: simplify both sides of the equation.

4x+6=4x^2+10x−4

step 2: subtract 4x^2+10x-4 from both sides.

4x+6−(4x^2+10x−4)=4x^2+10x−4−(4x^2+10x−4)

−4x^2−6x+10=0

step 3: factor left side of equation.

−2(2x+5)(x−1)=0

step 4: set factors equal to 0.

x=-5/2 or x=1