Answer:
A) -7
Step-by-step explanation:
2x + 5y + 30 = 0
Let x = 5/2
Substitute into the equation
2(5/2) +5y +30 =0
5+5y+30=0
Combine like terms
35 +5y =0
Subtract 35 from each side
35-35 +5y = -35
5y=-35
Divide by 5
5y/5=-35/5
y = -7
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:
Step-by-step explanation:
Answer:
Step-by-step explanation:
6>d-1
Add 1 to each side
6+1 > d-1+1
7>d
594 ml? 10% of 660 is 66 and 660-66=594
