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saw5 [17]
2 years ago
10

A classroom has 35 glue sticks if the ratio of glue sticks to glue bottles what is 5:2 how many glue bottles did the classroom h

ave
Mathematics
2 answers:
Mademuasel [1]2 years ago
6 0
14 glue bottles.
5:2= 35:14
2x7=14
5x7=35
matrenka [14]2 years ago
4 0
For this use proportions.
\frac{5}{2}  =  \frac{35}{x}
Cross multiply
5x = 70
Divide by 5
x = 14
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kati45 [8]

Answer:

AB = 185.77 feet

Step-by-step explanation:

From the figure attached, in ΔABC,

m∠B = 103.2°, m∠C = 14.4° and side BC = 661 feet

We have to find the measure of side AB.

Since ∠A + ∠B + ∠C = 180°

∠A + 103.2 + 14.4 = 180

∠A + 117.6 = 180

∠A = 180 - 117.6

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By applying sine rule in the given triangle ABC

\frac{AB}{sinC}=\frac{BC}{sinA}

\frac{AB}{sin14.4}=\frac{661}{sin62.4}

\frac{AB}{0.249}=\frac{661}{0.886}

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Therefore, AB = 185.77 feet will be the answer.

4 0
2 years ago
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svet-max [94.6K]
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You have just opened a new dance club, Swing Haven, but are unsure of how high to set the cover charge (entrance fee). One week
bonufazy [111]

Answer:

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b) The nightly revenue is

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Step-by-step explanation:

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s = \frac{79-43}{7-16} = \frac{36}{-9} = -4

Since the demand takes the value 79 in 7, then

q(p) = -4 (p-7) + 79 = -4 p + 107

b) The nightly revenue can be found by multiplying q by p

R(p) = p*q(p) = p*( -4 p + 107) = -4 p^2 + 107 p

c) The profit function is obtained from substracting the const function C(p) from the revenue function R(p)

P(p) = R(p) - C(p) = p*q(p) = -4 p^2 + 107 p - (-26.75p + 939) = \\\\-4 p^2 + 133.75 p - 939

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Therefore, the entrance fees that allow Swing Haven to break even are between 10.03 and 23.41 dollars per guest.

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Answer:

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Step-by-step explanation:

8 0
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