Answer:
1. 70°
2. 65°
3. 120°
4. 105°
5. 95°
6. 30°
Step-by-step explanation:
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That would be 5(3w + 13)
The GCF is 5
Answer:the youngest child is 7 years old
Step-by-step explanation:
Let x represent the age of the youngest child.
Let y represent the age of the middle child.
Let z represent the age of the oldest child.
The sum of the ages of three children is 32. It means that
x + y + z = 32 - - - - - - - - - - - 1
The ages of the oldest is twice the age of the youngest. It means that
x = 2z
z = x/2
The two older children differ by 3 years. It means that
y = x - 3
Substituting z = x/2 and y = x - 3 into equation 1, it becomes
x + x - 3 + x/2 = 32
2x - 3 + x/2 = 32
Crossmultiplying,
4x - 6 + x = 64
5x = 64 + 6 = 70
x = 70/5 = 14
z = x/2 = 14/2
z = 7
I think with the kinds of mixture problems, it's really helpful to make a table.
The equations you actually need are
and
. Since I was so close, I went ahead and just solved it anyway. You can see my setup on the attached image.
18. 1.5 gal/min * 60min/hr * 4qt/1gallon = 360 qt/hr
20. .85km/s * 60 s/min * 1000m/km = 51000 m/min
22. 20 oz/min * 1440 min/day * 1 qt / 32 oz = 900 qt/day