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3 years ago

A sports club is planning a cookout. The food

Mathematics

1 answer:

DIA [1.3K]3 years ago

3 0

Answer:

maximum number: 171

Step-by-step explanation:

The $500 budget that will serve the people (x) with flat fee of $200 and $1.75 per person

1.75x + 200 = 500

1.75 x = 300

x = 171.4

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What is the sum of the last four terms of the series 7+9+11+...21

Sidana [21]

For sake of convenience, reverse the series, then it would be:

21,19,17.....7

a=21, d = -2,

s(4) = 4/2 (21+15)

s(4)=2(36)

s(4) = 72

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4 years ago

k is a an integer for which 1/2^1-k, 1/8. What is the value of k? 1/2^1-k must be equal to 1/8 if i read the question right.

svetlana [45]

Answer:

k = -2

Step-by-step explanation:

If $\frac12^{1-k}=\frac18$

Then

$\frac1{2^{1-k}}=\frac18=\frac1{2^3}$

$1-k = 3$

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4 years ago

Cosmo bought a power that was on sale 1/3 off the listed price of $129 how much did Cosmo save?

Tom [10]

Cosmo saved about $43.

7 0

4 years ago

Read 2 more answers

How do I solve this?<br><br> x/3 + x^2 + 2x^2 - x/3

Anna11 [10]

Answer:

3x²

Step-by-step explanation:

$\frac{x}{3} + x^{2} +2x^{2} -\frac{x}{3}$ =

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3 0

2 years ago

Find the six trigonometric function values for angle ∅ where its adjacent side is -9 and its hypotenuse is 41. (Theta is located

arsen [322]

Check the picture below.

$\bf \textit{using the pythagorean theorem}
\\\\
c^2=a^2+b^2\implies \sqrt{c^2-a^2}=b
\qquad 
\begin{cases}
c=hypotenuse\\
a=adjacent\\
b=opposite\\
\end{cases}
\\\\\\
\sqrt{41^2-(-9)^2}=b\implies \sqrt{1681-81}=b\\\\\\ \sqrt{1600}=b\implies 40=b\\\\
-------------------------------$

$\bf sin(\theta )=\cfrac{\stackrel{opposite}{40}}{\stackrel{hypotenuse}{41}}\qquad~~ cos(\theta )=\cfrac{\stackrel{adjacent}{-9}}{\stackrel{hypotenuse}{41}}\qquad~~ tan(\theta )=\cfrac{\stackrel{opposite}{40}}{\stackrel{adjacent}{-9}}
\\\\\\
csc(\theta )=\cfrac{\stackrel{hypotenuse}{41}}{\stackrel{opposite}{40}}\qquad ~~sec(\theta )=\cfrac{\stackrel{hypotenuse}{41}}{\stackrel{adjacent}{-9}}\qquad ~~cot(\theta )=\cfrac{\stackrel{adjacent}{-9}}{\stackrel{opposite}{40}}$

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3 years ago