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Natalka [10]
3 years ago
7

Josiah and his friends are going to the movies. Each ticket costs $10, and popcorn is $5 a bag. There is a $3 service fee for th

e entire purchase. He has $75. If he buys 4 tickets, what is the maximum number of bags of popcorn he can buy
Mathematics
1 answer:
Free_Kalibri [48]3 years ago
8 0
Make sure you check this because i do make mistakes.

10 x 4 = 40

75 - 40 = 35

So josiah has 35 dollars to spend for things other than tickets.

35 - 3 = 32 (for the service fee)

So josiah has 32 dollars to spend on popcorn

32/5 = 6.4 but you cant have half a bag of popcorn so

6 bags
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How many times does 32 go into 204
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Solution 1
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Solution 2
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3 years ago
A surveyor, Toby, measures the distance between two landmarks and the point where he stands. He also measured the angles between
vagabundo [1.1K]
What we know so far:
Side 1 = 55m
Side 2 = 65m
Angle 1 = 40°
Angle 2 = 30°

What we are looking for:
Toby's Angle = ?
The distance x = ?

We need to look for Toby's angle so that we can solve for the distance x by assuming that the whole figure is a SAS (Side Angle Side) triangle.

Solving for Toby's Angle:
We know for a fact that the sum of all the angles of a triangle is 180°; therefore,
180° - (Side 1 + Side 2) = Toby's Angle
Toby's Angle  = 180° - (40° + 30°)
Toby's Angle = 110°

Since we already have Toby's angle, we can now solve for the distance x by using the law of cosines r² = p²+ q²<span>− 2pq cos R where r is x, p is Side1, q is Side2, and R is Toby's Angle.
</span>
x² = Side1² + Side2² - 2[(Side1)(Side2)] cos(Toby's Angle)
x² = 55² + 65² - 2[(55)(65)] cos(110°)
x² = 3025 + 4225 -7150[cos(110°)]
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x = √4804.56
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8 0
3 years ago
Suppose y varies inversely with x, and y=39 when x=1/3.what is the value of y when x=26
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Step-by-step explanation:

Varies inversely

xy = k

------------------------

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k = 1/3 * 39

k = 13

-----------------------

what is the value of y when x=26

26y = 13

y = 13/26

y = 1/2

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3 years ago
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