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SSSSS [86.1K]
2 years ago
9

PRE-FINAL REVIEW

Mathematics
1 answer:
densk [106]2 years ago
5 0

The equation that can be used to represent total tickets sales is 2170 = 5s + 2f + 10a

<h3>Equation</h3>

let

  • Number of students tickets = s
  • Number of faculty tickets = f
  • Number of alumni tickets = a

Expression for number of students tickets sold;

s = f + 15

Expression for number of faculty tickets sold;

f = 2a

Expression for number of alumni tickets sold;

f = 2a

a = f/2

  • Cost of students tickets = $5
  • Cost of faculty tickets = $2
  • Cost of Alumni tickets= $10
  • Total revenue = $2170

2170 = 5s + 2f + 10a

Learn more about equation:

brainly.com/question/4344214

#SPJ1

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A long distance phone call between two cities costs $3.43 for 7 minutes. What is the rate in cents per minute?
Evgesh-ka [11]
3.43 dollars divided by 7 minutes = 0.49 cents
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Rectangle A has one side which is 6cm long and the other is (x+2)cm long. Rectangle Y has sides of length (2x+1) and 3cm, If the
gregori [183]
Hello, 

Rectangle A:           6cm                  (x+2)cm
Rectangle B:           3cm                  (2x+1)cm

The formula for the perimeter of a rectangle is: P=2(base+height)

Then:

P_A=2(b+h) \\ P_A=2*[6+(x+2)] \\ P_A=2*(x+8) \\ P_A=2x+16 \\  \\  \\ P_B=2(b+h) \\ P_B=2*[3+(2x+1)] \\ P_B=2*(2x+4) \\ P_B=4x+8&#10;

But we know that the perimeters are the same, so:

P_A=P_B \\ 2x+16=4x+8 \\ 8=2x \\ \boxed{x=4} \\  \\ Replacing:  \\  \\ Lenght\,\,of\,\,A=(x+2)cm\\ Lenght\,\,of\,\,A=(4+2)cm\\ \boxed{Lenght\,\,of\,\,A=6cm}\\  \\ Lenght\,\,of\,\,B=(2x+1)cm\\ Lenght\,\,of\,\,B=(2*4+1)cm\\ \boxed{Lenght\,\,of\,\,B=9cm}

With the answer of A, we realize that this figure is actually a square.
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Please help!!
Flura [38]
<h3>Answer: (28, 91) \cup (93, 94)</h3>

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

Explanation:

Check out the diagram below.

I have drawn out two number lines with the key points 28,91,93,94 marked on them. The diagram isn't to scale, but that doesn't matter. All that matters is that the numbers line up (eg: we have the two 28's line up vertically).

The first number line drawing on top shows the shading for set A. Everything in the shaded region is either smaller than 91, or larger than 93, or 93 itself. We exclude 91 due to the curved parenthesis. The square bracket says to include the 93.

For the second graph, you have two endpoints as open holes (to exclude both endpoints) and you shade everything between.

-----------

After you draw the two number line regions, you would then mark off the interval(s) that they share in common.

The notation A \cap B means "A intersect B" which means we want to find the stuff that is in both sets at the same time.

So we'll have two pieces here. The portion from 28 to 91 is the first interval, and then the second portion runs from 93 to 94. For each interval sub-piece, the endpoints are excluded

So that leads to the final answer (28, 91) \cup (93, 94)

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52 thousandths in Scientific notation
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Answer:

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