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3 years ago

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I am selling cupcakes at $3.00 and candy apples at $6.00 and i expect to make $275 today which 25 candy apples will be sold, how

many of each needs to be sold to make a profit of $275 today

1 answer:

nevsk [136]3 years ago

3 0

Answer:
25 candy apples and 42 cupcakes. And would leave you with an extra dollar
Explanation:

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lakkis [162]

The answer is either A or C but I can’t be sure without seeing part A

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2 years ago

Find cos y and tan y if csc y = -√6/2 and cot y >0.

fomenos

Answer:

$\cos y = -\dfrac{\sqrt{3} }{3}$

$\tan y = \sqrt{2}$

Step-by-step explanation:

Recall that

$\boxed{\csc y := \dfrac{1}{\sin y}}$

$\boxed{\cot y := \dfrac{\cos y}{\sin y}}$

We know that

$\csc y = \dfrac{-\sqrt{6} }{2}$

Note that according to the definition of $\csc y$ it is true that both sine and cosine are negative, once $\csc y = \dfrac{-\sqrt{6} }{2}$ . Because $\cot y > 0$ , this conclusion is true. We basically have

$\boxed{(-a)(1/-b)=a/b \text{ such that } a,b\in\mathbb{R}_{\geq 0}}$

Sure it is true $\forall y\in\mathbb{R}$ but perhaps this way is better to understand.

In order to find sine, we can use the definition and manipulate the rational expression.

$\csc y = \dfrac{-\sqrt{6} }{2} = \dfrac{-\sqrt{6} / -\sqrt{6} }{2/-\sqrt{6} } = \dfrac{1 }{-\dfrac{2}{\sqrt{6} } }$

Therefore,

$\sin y =-\dfrac{2}{\sqrt{6} }$

Here I just divided numerator and denominator by $-\sqrt{6}$ .

Now, to find cosine we can use the identity

$\boxed{\sin^2y +\cos ^2y =1}$

Thus,

$\left(-\dfrac{2}{\sqrt{6} }\right)^2 + \cos ^2y =1 \implies \dfrac{4}{6 } +\cos ^2y =1$

$\implies \cos ^2y =1 - \dfrac{4}{6 } \implies \cos ^2y =\dfrac{1}{3 } \implies \cos y = \pm \dfrac{\sqrt{1} }{\sqrt{3} } = \pm \dfrac{\sqrt{1} \sqrt{3} }{3} = \pm \dfrac{\sqrt{3} }{3}$

$\cos y = \pm\dfrac{\sqrt{3} }{3}$

Once we have $\cot y > 0$ , we just consider

$\cos y = -\dfrac{\sqrt{3} }{3}$

FInally, for tangent, just consider

$\boxed{\tan y := \dfrac{\sin y}{\cos y}}$

thus,

$\tan y = \dfrac{\sin y}{\cos y} = \dfrac{-\frac{2}{\sqrt{6} }}{-\frac{\sqrt{3} }{3}} = \dfrac{6}{\sqrt{18} } =\dfrac{6}{3\sqrt{2} } =\dfrac{2}{\sqrt{2} } = \sqrt{2}$

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3 years ago

Change the rational number 18 to a decimal. Show work (worth 3 points).

goblinko [34]

Answer:

18.0

18 as a decimal is 18.0

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3 years ago

How many times does six go into<br> 40

oksano4ka [1.4K]

$\text{Hey there!}$

$\mathsf{How\ many\ times\ does\ 6\ go\ into\ 40?}$

$\mathsf{Here\ is\ your\ equation: 6p=40}$

$\mathsf{6p=40}\\\\\mathsf{Divde\ both\ sides\ by\ 6}\\\\\mathsf{\dfrac{6p}{6}=\dfrac{40}{6}}\\\\\mathsf{Cancel\ out\ \dfrac{6p}{6}\ because\ it\ gives\ the\ result\ of\ 1}\\\\\mathsf{Keep: \dfrac{40}{6}\ because\ that\ helps\ us\ solve\ for\ the\ answer!}$

$\mathsf{\dfrac{40\div2\leftarrow numerator}{6\div2\leftarrow denominator}}\\\\\\\mathsf{40\div2=20}\\\\\mathsf{6\div2=3}\\\\\\\boxed{\boxed{\mathsf{Answer: \dfrac{20}{3}\ or\ you\ could\ say\ 6.67}}}$ $\checkmark$

$\text{Good luck on your assignment and enjoy your day!}$

~ $\frak{LoveYourselfFIrst:)}$

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3 years ago

Which rational number is one tick mark to the right of Negative StartFraction 6 Over 4 EndFraction on the number line below?

melomori [17]

Answer:

the answered is a

Step-by-step explanation:

hope this helps

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3 years ago