Answer:
Samuel slept for 1/4 of the distance.
Step-by-step explanation:
The information provided are:
- Samuel fell asleep halfway home.
- He didn't wake up until he still had half as far to go as he had already
- gone while asleep.
Consider that the total distance covered was 1.
Then from the first point we know that Samuel fell asleep after covering a distance of 1/2.
It is provided that he woke up only after covering half of the remaining distance.
That is, he slept for 1/4 of the remaining distance.
Thus, Samuel was asleep for 1/4th of the entire trip home.
Answer:
4) smaller number is 9, larger number is 12
13) 38.45=5m+8.5
m=5.99
Step-by-step explanation:
x+y=21 the sum of two numbers is 21
x-3=.5y the smaller number is 3 more than half the larger number
multiply both sides by 2 and you get 2x-6=y
plug that equation into the first equation and you get x+2x-6=21
simplifying you get 3x-6=21 add 6 to both sides and you get 3x=27
x=9 so the smaller number is 9 then you plug that back into the first equation and get y=12
let m be the cost of 1 movie and c be the cost of the cd
38.45=5m+c
38.45=5m+8.5 this is the equation you use
subtract 8.5 from both sides and you get 29.95=5m
divide both sides by 5
5.99=m the answer
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The answer is B.) you will need 3 cups of chocolate chips
Answer:
x=3cm
Step-by-step explanation:
We have three figures.A triangle(8 by X+3).In it we have another triangle(4 by x)and a trapesium
thus that means the area of the trapesium+area of small triangle=area of big triangle.
1)Area=1/2lengthxwidth. =1/2×8×(x+3)
=4(x+3)
=4x+12cm³
2)Area=1/2lengthxwidth. =1/2×4×x
=2x
3)area=1/2(a+b)h
=1/2(x+3+x)×4
=1/2×4(2x+3). (area of trapesium)
=2(2x+3)
=4x+6cm³
thus:
2x+4x+6=4x+12 put like terms together
2x+4x-4x=12-6
2x=6 divide both sides by 2
x=3cm