Step-by-step explanation:
Realize that:
speed = distance / time and thus
time = distance / speed
Then the whole journey of 40/60 hours is the sum of (let's call them t1 and t2)
cycling: t1 = 2/y hours
running: t2 = 4/(y-4) hours
so we must simplify t1+t2=40 minutes (a.k.a. 4/6 hours):
2/y + 4/(y-4) = 4/6
let's multiply the first term by (y-4)/(y-4) and the second term by (y/y):
since they now share a common denominator:
cross-products:
further simplification:
q.e.d.
Answer:
4
Step-by-step explanation:
Step-by-step explanation:
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- Set up an equation and solve for x :
⋆ [ Exterior angle is always equal to the sum of two non - adjacent interior angles ]
~Remove the unnecessary brackets
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~Add the like terms : 2x ° & 3x°
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~Move 4x to right hand side and change it's sign
~Similarly move 12 to left hand side and change it's sign
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- Now , Substituting the value of x in (4x+9)° [ Exterior angle ]
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Answer:
she can fill 42 6-ounce glasses with the punch mixture
Step-by-step explanation:
1 cup = 8 ounces
15 cups = 120 ounces
132+120 = 252 ounces of punch mixture
252/6 = 42
42 glasses (each glass 6 ounces)