She has run 21 miles already. Let t be the number of additional miles added on.
In total, she has run t+21 miles
This is going to be set greater than 38 since "Ann will run more than 38 miles"
So we have this inequality
t+21 > 38
we solve for t by subtracting 21 from both sides
t+21 > 38
t+21-21 > 38-21
t+0 > 17
t > 17
The final answer is t > 17
which means that the possible additional number of miles she could run is anything larger than 17. So t = 18 is one possibility.
Answer:
Each guest would get 6 party favors.
Step-by-step explanation:
First, we find out how many party favors Amy bought. 3 bags of 12 party favors equals 36 party favors (3x12)
So, divide 36 party favors by 6 guests, and you get the final answer of 6 party favors per guest.
Hope this helps!!
Answer:
f(x) reflected across the x-axis is -f(x)
Step-by-step explanation:
so aka
O (x,y) → (x, -y)
The percent is 115% if put the numbers into a fraction know when finding a percent you can make the numbers you have already into a fraction so the fraction you have is 230/200 because 200 IS 230 so the number that IS is on top of the infraction so it 230/200=x/100. there is a x because you don't know what the percent is ,also the total percent you can get is a 100% so the x on top of a hundred so you do cross multiplying so 230 times 100 divided by 200 equals 115
So dad is represented by x
son is represented by y
so x is (x=) 7 times his son (7y)
our first sentence is x=7y
10 years later (x+10, y+10) he will be 3 times as old as his son (x+10=3(y+10))
or 10+x=3(y+10)
so our sentences are
x=7y
and
x+10=3(y+10)
first we subsitute x=7y for x in the second equation
(7y)+10=3(y+10)
7y+10=3(y+10)
we distribute
7y+10=3y+30
subtract 3y from both sides
4y+10=30
subtract 10 from both sides
4y=20
divide both sides by 4
y=5
the son is currently 5 years old
x=7y
subsitute y=5 for y in equation
x=7(5)
x=35
the dad is currently 35 years old
in 10 years
dad is 45 and son is 15
dad=35
son=5