Answer:
3/10 of the whole cake
Step-by-step explanation:
When you divide a cake in halve you get 5 pieces on each side, if Kim ate 3/5 of 1/2 of the cake, then she ate 3 pieces, so she ate 3/10 of the cake, and other way to figure this out is multiplying the two fractions, 3/5 x 1/2 = 3/10
First we write the expressions of each day separately:
Day 1:
you traveled x miles:
x
Day 2:
you drove 58 miles more than 3 times the thousands on Day 1:
3x + 58
Day 3:
your family went 25 fewer thousands than Day 1
x-25
Then, we have:
Day 1 + Day 2 + Day 3:
x + (3x + 58) + (x-25)
Rewriting:
x + 3x + x + 58 - 25
5x + 33
Then, for x = 100
5 * (100) + 33 = 533 miles.
answer:
5x + 33
Total miles that family traveled from home to Disney World is
533 miles
If the ratio is 6:7 the students should divide nicely into 6+7=13 parts. Six of those parts are girls, seven of those parts are boys.
364 / 13 = 28
So 6 × 28 = 168 girls
Answer: 168
Check:
7 × 28 = 196 boys
168 + 196 = 364, good
"<span>5 to the negative 4th power over 5 to the 3rd</span>" translates to
5⁻⁴ / 5³
So you can just combine exponents.
5⁻⁴ / 5³ = 5⁻⁴ ⁻ ³ = 5⁻⁷ = 1/5⁷
Final answer: 1/5⁷
