Answer:
If there's 10 cookies in the jar, and if 2 are peanut butter, the fraction for peanut butter cookies is 1/5, simplified.
Step-by-step explanation:
<u>Given:</u>
- 10 Cookies Total
- 3 are Oreo cookies
- 2 are peanut butter cookies
- 4 are chocolate chip cookies
- 1 is a sugar cookie
Bolded text represents what we'll be focusing on.
2 of the cookies are peanut butter, and there's 10 cookies total.
As a fraction, the peanut butter cookies are represented as:
2/10.
2/10 represents 2 peanut butter cookies out of 10 cookies altogether.
<u>Simplify:</u>
2/10 can be simplified by dividing both numerator and denominator by 2:
Quotient: 1/5.
1/5 is your answer.
In 5 years, the ratio of their ages will be 5:1, so the difference in their ages will be 4 ratio units. Those 4 units correspond to 32 years, so each unit corresponds to 32/4 = 8 years.
Thus, in 5 years, Kate will be 8 and her father will be 40. Right now, Kate is ...
... 8 - 5 = 3 years old.
_____
<em>Using equations</em>
Let k represent Kate's current age. Then in 5 years Kate will be k+5, and we will have ...
... 5(k+5) = (k+5)+32 . . the relationship betewen their ages in 5 years
... 5k +25 = k +37 . . . . eliminate parentheses
... 4k = 12 . . . . . . . . . . . add -25-k
... k = 3 . . . . . . . . . . . . . divide by 4
Kate is 3 years old.
Answer:
8 inches
Step-by-step explanation:
90 miles -------------> represented by 3 inches
1 mile -------------> represented by 3/90 inches
240 miles ----------> represented by 3/90 x 240 = 8 inches
Answer:
C None of the above
Step-by-step explanation:
The expression
(5g+3h+4)⋅2
can be expanded using distributive property as follows:
5g⋅2 + 3h⋅2 + 4⋅2 =
= 10g + 6h + 8
option A expression
(5g+3h)⋅8
can be expanded using distributive property as follows:
5g⋅8+3h⋅8 =
= 40g + 24h
which is different from 10g + 6h + 8
Option B expression
(5g+3h)⋅6
can be expanded using distributive property as follows:
5g⋅6+3h⋅6 =
= 30g + 18h
which is different from 10g + 6h + 8
