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Papessa [141]
2 years ago
8

Odysseus found that his troubles varied directly as his distance from his home island of Ithaca. If he had 20 troubles when he w

as 400 miles from home,how many troubles did he have when he was only 60 miles from home?
Mathematics
1 answer:
Vitek1552 [10]2 years ago
5 0
Lol


trouble varies directly as distance
lets say t=trouble and d=distance
t=kd
k is constant

given
when t=20, and d=400
find k
20=400k
divide by 400 both sides
1/20=k



t=(1/20)d

given, d=60
find t

t=(1/20)60
t=60/20
t=3

3 troubles
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Which expressions are equivalent to the given sort 40 (there is more than one and the one selected is correct)
Basile [38]

Answer:

40 {}^{ \frac{1}{2} }

Step-by-step explanation:

The last one is also the answer

Using the rational exponet rule,

\sqrt[n]{ {x}^{m} }  = x {}^{ \frac{m}{n} }

Using this number,

\sqrt{40}

40 is the base so it will stay same. Remember this is a square root sign so our nth root is 2 so our denominator if the rational exponet is 2.

40 {}^{1}  = 40

so our numerator is 1 so

40 {}^{ \frac{1}{2} }

3 0
3 years ago
Please help! Thank you if you do!
vekshin1

Answer:

8/50

5/50

10/50

38/50

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Step-by-step explanation:

8 0
3 years ago
3 less than one-thirteenth of some number, w
Leviafan [203]
As an expression, it would be:

3 - 1/13w (or you could also do 1/13w - 3).
4 0
3 years ago
A pitcher of punch holds 2 gallons if 9 people share the entire pitcher how much do that get a peice
kirza4 [7]
To find how much each person will get, you have to divide the amount available by the people. There are 2 ways I believe we can do this.
First way
Let's divide.
2÷9= 2/9

Each person would get 2/9 of a gallon if they shared it.

≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡
Second way
I believe it would be easier to convert this into cups. There are 16 cups per gallon.
16×2= 32
Let's divide that by 9.
32÷9= 3 5/9 cups per person.
≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡
Each person would receive 2/9 of a gallon.
8 0
3 years ago
What is the degree 3 polynomial that has zeros -3,2 and 5 and in which the coefficient of x^2 is -8?
Setler [38]
For zeroes/roots r1,r2, r3
the facors of the polynomial is
(x-r1)(x-r2)(x-r3)

roots
-3,2,5
(x-(-3))(x-2)(x-5)
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the coefient of the x term is -4
so mutliply the whole thing by 2

(2)(x+3)(x-2)(x-5)

expand
f(x)=2x^3-8x^2-22x+60
3 0
3 years ago
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