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Basile [38]
2 years ago
10

Help me please-Write a system of equations to describe the situation below, solve using any method, and fill in the blanks.

Mathematics
1 answer:
gavmur [86]2 years ago
5 0

<u>Answer:</u>

  • The total expenses is $156 is the total necklaces sold is 4.

<u>Step-by-step explanation:</u>

<u>We know that:</u>

  • x = Necklaces created and sold
  • 140 + 4(x) = Total cost
  • 39x = Profit = Total cost
  • Profit = Total cost

<u>Work:</u>

  • 140 + 4x = 39x
  • => 140 = 39x - 4x
  • => 140 = 35x
  • => x = 140/35
  • => x = 4

<u>Now, let's substitute the value of x into any equation to find the total expenses and sales.</u>

  • 140 + 4x
  • => 140 + 4(4)
  • => 156

Hence, <u>the total expenses is $156 is the total necklaces sold is 4.</u>

Hoped this helped.

BrainiacUser1357

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Novosadov [1.4K]
Answer: 74.8%

This answer is approximate.
The value is rounded to the nearest tenth of a percent.

==========================================

Explanation:

Let,
X = area of the larger circle
Y = area of the smaller circle
Z = area of the shaded region = X - Y

The goal is to compute the ratio Z/X to get the answer we want

Let's find area of the larger circle
Area of circle = pi*(radius)^2
A = pi*r^2
X = pi*8.01^2
X = 64.1601pi
This is the exact area in terms of pi

Now repeat for the smaller circle
A = pi*r^2
Y = pi*4.02^2
Y = 16.1604pi

Subtract those results to find the value of Z
Z = X-Y
Z = 64.1601pi-16.1604pi
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This is the exact area of the red donut region

Divide Z over X to get the probability of landing in the red region
Z/X = (47.9997pi)/(64.1601pi)
Z/X = (47.9997)/(64.1601) <--- note how the pi terms cancel
Z/X = 0.74812 which is approximate

Convert to a percent
Move the decimal point 2 spots to the right
0.74812 ---> 74.812%

Then round this to one decimal place
74.812% ---> 74.8%

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