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4 years ago

Here is a formula for the amount of water needed to cook rice.

Mathematics

1 answer:

malfutka [58]4 years ago

5 0

Answer:

17 cups of water

Step-by-step explanation:

Given:

Amount of water needed to cook rice (w) = 1.5 r + 0.5

Number of cups of rice to be cooked = r

Number of cup needed to cook rice = w

Find:

Number of cups of water needed to cook 11 cups of rice:

Computation:

Amount of water needed to cook rice (w) = 1.5 r + 0.5

We know that , Number of cups of rice to be cooked = r = 11

So,

w = 1.5 r + 0.5

w = 1.5 (11) + 0.5

w = 16.5 + 0.5

w = 17

Therefore, 17 cups of water needed to make 11 cups of rice.

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A cup of coffee has approximately 310 mg of caffeine. Each hour, the caffeine in your system decreases by about 35%. How much ca

Alex787 [66]

Answer:

∴35.97 mg caffeine would be left in the system after 5 hours.

Step-by-step explanation:

Given that,

A cup of coffee has approximately 310 mg of caffeine.

Caffeine decrease at a rate 35% per hour.

Exponential Function:

$y(t)=y_0(1-r)^t$

y(t)= Amount caffeine after t hours

$y_0$ = Initial amount of caffeine

r= rate of decrease

t = Time in hour.

Here y(t)=?, $y_0$ = 310 mg, r=35%=0.35, t= 5 hours

$y(t)=310(1-0.35)^5$

=35.97 mg

∴35.97 mg caffeine would be left in the system after 5 hours.

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Answer:

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Step-by-step explanation:

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3 years ago

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3 years ago

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Find the 53rd term of the arithmetic sequence<br> 27,11, -5

vivado [14]

Answer:

The 53rd term of this arithmetic sequence is -805.

Step-by-step explanation:

The general rule of an arithmetic sequence is the following:

$a_{n+1} = a_{n} + d$

In which d is the common diference between each term, that is, $d = a_{3} - a_{2} = a_{2} - a_{1}$ .

To find the nth term of the sequence, this equation can be written as:

$a_{n} = a_{1} + (n-1)d$

27,11, -5

So $a_{1} = 27, a_{2} - a_{1} = 11 - 27 = -16[/tex[tex]a_{n} = a_{1} + (n-1)d$

$a_{53} = a_{1} + (52)d = 27 + 52*(-16) = -805$

The 53rd term of this arithmetic sequence is -805.

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3 years ago

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Rudik [331]

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3 years ago

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