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3 years ago

keishas mom buhys 2 gallons of lemonade she serves 1 cup each gor 20 quests how many cups of lemonade remain

1 answer:

Natasha2012 [34]3 years ago

5 0

There are 16 cups in a gallon. You have 2 gallons to begin with, so you have 32 cups to begin.

You give out 20 cups, so you only have 32-20 cups left. 32-20=12. You have 12 cups left.

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Monthly sales of a particular personal computer are expected to decline at the following rate of S'(t) computers per month, whe

Len [333]

Answer:

$S(t) = -18t^\frac{5}{3}+2440$

Company will take approximately 14 months

Step-by-step explanation:

Given function that shows the change rate of computers,

$S'(t)=-30 t^{\frac{2}{3}}$

Where,

t = number of months

On integrating,

$\int S'(t) = -30\int t^{\frac{2}{3}} dt$

$S(t) = -30(\frac{t^{\frac{2}{3}+1}}{\frac{2}{3}+1})+C$

$S(t) = -30 (\frac{t^{\frac{2+3}{3}}}{\frac{2+3}{3}})+C$

$S(t) = -30(\frac{t^\frac{5}{3}}{\frac{5}{3}})+C$

$S(t) = -30(\frac{3t^\frac{5}{3}}{5})+C$

$S(t) =-18t^\frac{5}{3}+C$

According to the question,

S(0) = 2,440,

$\implies -18(0)^\frac{5}{3}+C=2440\implies C = 2440$

Hence, the required function,

$S(t) = -18t^\frac{5}{3}+2440$

If S(t) = 1,000,

$-18t^\frac{5}{3}+2440=1000$

$-18t^\frac{5}{3}=-1440$

$t^\frac{5}{3}=80$

$t = (80)^\frac{3}{5}\approx 13.86$

6 0

3 years ago

Find the value of x and the value of y.

mrs_skeptik [129]

Answer:

Step by step solution:

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3 0

3 years ago

find the value of y if the line through the two given points is to have the indicated slope. (-3,y) and (-11,8), m = -2

o-na [289]

$= \frac{y - y_{2}}{x - x _{2}} \\ - 2 = \frac{y - ( - 11)}{ - 3 - 8} \\ - 2 = \frac{y + 11}{ - 11} \\ - 2 + 1 = y \\ y = - 1$

5 0

3 years ago

Read 2 more answers

What is 981 round to the nearest thousand

PSYCHO15rus [73]

It would be 100,000 or if the number is just 981 then it would be 1,000.

6 0

3 years ago

Read 2 more answers

3x2 = 81<br> b. (x - 1)(x + 1)-9 = 5x<br> C. X - 9x + 10 = 32<br> d. 6x(x - 9) = 29

irakobra [83]

Answer:

a. 3x^2 = 81

x^2 = 27

$x = 3\sqrt{3} or -3\sqrt{3}$

Step-by-step explanation:

6 0

3 years ago