George says that, to subtract fractions with different denominators, you always have to multiply the denominators to find the common unit; for example:

3/8 - 1/6 = 18/48 - 8/48

show george how he could have chosen a denominator smaller than 48, and solve the problem.

Step-by-step explanation:

We have been given an equation solved by George. We are asked to solve the problem by choosing a denominator smaller than 48.

To subtract to fraction with different denominators, we need to make a common denominator.

The common denominator would be the least common multiple of both denominators.

In our given problem, we can see that the numbers in denominators are 8 and 6.

Let us find LCM of 8 and 6:

Multiples of 8: 8, 16, 24, 32, 40,...

Multiples of 6: 6, 12, 18, 24, 30,...

We can see that LCM of 8 and 6 is 24.

Let us solve our given problem by making a common denominator:

Combine numerators:

Therefore, the answer for our given problem would be .

hi there!

the answer to this question is d: 35

step-by-step explanation:

5 to the power of 2 is 25

2 multiplied by 5 is 10

then you add the 2 numbers and you get 35

answer: c, the green line

step-by-step explanation:

there is no black line, eliminate b.

simple interest implies periodic payments, but the red line shows no payments, eliminate d.

simple interest has equal payments. if paid say every day, the graph is about a straight line (actually a stairstep).

the yellow line is not straight, eliminate a.

check: the green line is straight, answer is c.

simple interest with positive interest rate gives a straight line sloping up to the right. green line:

g(t) = $100 + ($200-$100) ÷ (20 years) × (t years)

= $100 + (4%/year) × ($100)(t years)

incidentally, the yellow line curving upward represents continuously compounded interest

y = $100 × 2^(t years / (14 assuming the yellow line hits $200 at 14 years. 2^0 is 1, so y(0) = $100; 2^(14/14) is 2, so y(14) = $200.