Why does it make sense in this situation that the

Mathematics

1 answer:

elena-14-01-66 [18.8K]3 years ago

8 0

Answer: the average cost per person is always greater than $630 because of the fee for the tour guide

Step-by-step explanation:

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A family paid $30600 as a down payment for a home. If this represents %17 of the price of the home, find the price of the hom

snow_lady [41]

Answer:

180000

Step-by-step explanation:

30600/17=1800

1800•100=180000

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3 years ago

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Find the greatest common divisor (GCD) of 34255 and 203515.

seropon [69]

34255 = 5 * 13 * 17 * 31
203515 = 5 * 13 * 31 * 101

So GCD(34255, 203515) = 5 * 13 * 31 = 2015

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3 years ago

Find the arc length of a central angle of 7pi/3 in a circle whose radius is 3 inches.

skelet666 [1.2K]

$\bf \textit{arc's length}\\\\ s=r\theta ~~ \begin{cases} r=radius\\ \theta =angle~in\\ \qquad radians\\ \hrulefill\\ r=3\\ \theta =\frac{7\pi }{3} \end{cases}\implies s=3\cdot \cfrac{7\pi }{3}\implies s=7\pi$

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Use exponents to write 81 three different ways.

nlexa [21]

Answer:.81 , 81%,81/100

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3 years ago

(Geometry) The answers are x = 15 and y = 9 but I don't know how. Help me understand this

Kryger [21]

Check the picture below.

$\bf \stackrel{\measuredangle DAC}{4y+2x}~~=~~\stackrel{\measuredangle BCA}{9y-x}\implies 2x=5y-x\implies 3x=5y\implies \boxed{x=\cfrac{5y}{3}} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\measuredangle DAB}{[(4y+2x)+35]}~~+~~\stackrel{\measuredangle ADC}{5x+4}~~=~~180\implies 4y+2x+5x+39 = 180 \\\\\\ 4y+7x+39=180\implies 4y+7x=141\implies \stackrel{\textit{substituting "x"}}{4y+7\left( \boxed{\cfrac{5y}{3}} \right)} = 141$

$\bf 4y+\cfrac{35y}{3}=141\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{3}}{3\left( 4y+\cfrac{35y}{3} \right)=3(141)}\implies 12y+35y=423 \\\\\\ 47y=423\implies y=\cfrac{423}{47}\implies \blacktriangleright y = 9 \blacktriangleleft \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{since we know that}}{x=\cfrac{5y}{3}}\implies x = \cfrac{5(9)}{3}\implies \blacktriangleright x = 15 \blacktriangleleft$

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4 years ago