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2 years ago

If 20 men can survive for 24 days on 15 cans of rations, how many cans will be needed for 16 men to survive for 36 days?

1 answer:

7 0

We know that
If 20 men can survive for 24 days on 15 cans of rations
by proportion
24/15=1/x
x=15/24----> x=0.625 cans
that means 0.625 cans for 20 men per day

20 men----------> 0.625 cans
1 man-----------> x
x=0.625/20-----> x=0.03125 cans for 1 man per day

a) how many cans will be needed for 16 men to survive for 36 days?
16*36*0.03125=18 cans

the answer is
18 can

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Colin is painting figurines. He spends 20 minutes painting each figurine. After painting for 60 minutes, he still has 9 more fig

miss Akunina [59]

Answer:

$f(t) = -0.05t +12$

Step-by-step explanation:

To solve this problem we must pay attention to the following data supplied:

- f It is the number of figurines that remain to be painted.

- t amount of time, in minutes, that Colin spends painting

- Colin takes 20 minutes painting each figurines.

- After painting 60 min, he still has 9 figurines left. f (60) = 9

If he takes 20 minutes painting 1, it means that in 60 minutes he has painted 3 and he has 9 left.

Then, at the beginning he has 9 +3 figurines to be painted.

$f (0) = 3 + 9\\f (0) = 12$

With these two points we can find the function:

If m is the slope of the line, then:

$m = \frac{y_2-y_1}{x_2-x_1}\\\\m = \frac{9-12}{60-0}\\\\m = -0.05\\\\f (t) = -0.05t + c$

Where by definition $c = f(0) = 12$

Finally the formula is:

$f(t) = -0.05t +12$

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2 years ago

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Jane invested £4000 for 3 years with an interest rate of 1.5%. What was her investment worth at the end of this period?

ddd [48]

Answer:

$4182.7

Step-by-step explanation:= 4000*(1.5%)*3

Year 1= 4000*(100%+1.5%)= 4060

Year 2= 4060*(100%+1.5%)= 4120.9

Year 3= 4120.9*(100%+1.5%)= 4182.7

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A pail contained 3.68L of water more than a bottle. After Bill poured away 1.2L of water from the pail, the pail contained 3 tim

julsineya [31]

For the sake of simplicity, let us say that the bottle contains x liters of water.

The pail originally contained x+3.68 L of water
After pouring out 1.2L, the pail contains x+(3.68-1.2)L or x+2.48 L

(a) How much more water did the pail contain than the bottle in the end?
Since the bottle contains x L of water, the pail (containing x+2.48 L of water) contains (x+2.48) - x more liters of water than the bottle or "the pail contained 2.48 L of water more than the bottle"

(b) How much water did the bottle contain?
We are told that after pouring the 1.2L of water out, the pail contained 3 times as much water as the pail. Therefore, 3x = x+2.48. Subtracting x from both sides gives us 2x = 2.48. Dividing both sides by 2 gives us x = 1.24L

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2 years ago

Jorge and Jillian have cell phones with different service providers. Jorge pays $50 a text month and $1 per text message sent. J

barxatty [35]

Answer:

When they send 25 texts each, their bills will be equal

Step-by-step explanation:

Let the number of text messages that makes their bill equal be x

Jorge will have a bill of = 50 + x(1) = 50 + x

Jillian will have a bill of = 72 + 0.12(x) = 72 + 0.12x

Since their bills will now be equal, we equate both

50 + x = 72 + 0.12x

72-50 = x-0.12x

22 = 0.88x

x = 22/0.88

x = 25 texts

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The parent function f(x) = x3 is represented by graph A. Graph A is transformed to get graph B and graph C. Write the functions

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Graph B represents the function g(x)=x^3-2 Graph C represents the function h(x)=2x^3

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