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Andreyy89
3 years ago
6

On Monday joe bought 10 cups of coffee and 5 doughnuts for his office at the cost of $16.50. On Tuesday he bought 5 cups of coff

ee and 10 doughnuts for a total of 14.25. How much was each cup of coffee
Mathematics
1 answer:
svp [43]3 years ago
4 0

Answer:

each cup cost 1.25 on Tuesday

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Edit: the 2nd photo is more in detail and should help you better. Good luck!

Step-by-step explanation:

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\dfrac a 2 = \dfrac b 3

\dfrac 3 2 = \dfrac b a

Final answer: \qquad \dfrac 3 2
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3 years ago
An inequality is shown: −np − 4 ≤ 2(c − 3) Which of the following solves for n?
sesenic [268]

Answer:

\huge\boxed{n\leq\dfrac{2-2c}{p}\ \text{for}\ p0}

Step-by-step explanation:

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3 years ago
Find derivative problem<br> Find B’(6)
dalvyx [7]

Answer:

B^\prime(6) \approx -28.17

Step-by-step explanation:

We have:

\displaystyle B(t)=24.6\sin(\frac{\pi t}{10})(8-t)

And we want to find B’(6).

So, we will need to find B(t) first. To do so, we will take the derivative of both sides with respect to x. Hence:

\displaystyle B^\prime(t)=\frac{d}{dt}[24.6\sin(\frac{\pi t}{10})(8-t)]

We can move the constant outside:

\displaystyle B^\prime(t)=24.6\frac{d}{dt}[\sin(\frac{\pi t}{10})(8-t)]

Now, we will utilize the product rule. The product rule is:

(uv)^\prime=u^\prime v+u v^\prime

We will let:

\displaystyle u=\sin(\frac{\pi t}{10})\text{ and } \\ \\ v=8-t

Then:

\displaystyle u^\prime=\frac{\pi}{10}\cos(\frac{\pi t}{10})\text{ and } \\ \\ v^\prime= -1

(The derivative of u was determined using the chain rule.)

Then it follows that:

\displaystyle \begin{aligned} B^\prime(t)&=24.6\frac{d}{dt}[\sin(\frac{\pi t}{10})(8-t)] \\ \\ &=24.6[(\frac{\pi}{10}\cos(\frac{\pi t}{10}))(8-t) - \sin(\frac{\pi t}{10})] \end{aligned}

Therefore:

\displaystyle B^\prime(6) =24.6[(\frac{\pi}{10}\cos(\frac{\pi (6)}{10}))(8-(6))- \sin(\frac{\pi (6)}{10})]

By simplification:

\displaystyle B^\prime(6)=24.6 [\frac{\pi}{10}\cos(\frac{3\pi}{5})(2)-\sin(\frac{3\pi}{5})] \approx -28.17

So, the slope of the tangent line to the point (6, B(6)) is -28.17.

5 0
3 years ago
What is <img src="https://tex.z-dn.net/?f=%5Cfrac%7B14-7x%7D%7B7%7D" id="TexFormula1" title="\frac{14-7x}{7}" alt="\frac{14-7x}{
BartSMP [9]

Answer:

<h2><u><em>2-x</em></u></h2>

Step-by-step explanation:

(14 - 7x)/7 =

[7(2-x)]/7 =

2-x

4 0
2 years ago
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