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Anna35 [415]
3 years ago
14

Your class sponsors a benefits concert and prices the tickets at $8 each. Jordan sells 12 tickets, Andy 16, Morgan 17, and Pat 1

3. Compute the total revenue brought in by these four persons?
Mathematics
1 answer:
EleoNora [17]3 years ago
5 0
Te total revenue brought in by the 4 is $464
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Find the solution to the equation below.<br> 2x^2+3x-20=0
mariarad [96]

Answer:

  x = -4, 5/2

Step-by-step explanation:

A quadratic can be solved may ways, including graphing, factoring, and the quadratic formula. You can also check possible answers by making use of the relationships between solutions and the coefficients.

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A graph is attached. It shows the solutions to be -4 and 5/2.

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When factored, the equation becomes ...

  (2x -5)(x +4) = 0 . . . . . has solutions x=-4, x=5/2 (these make the factors zero)

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Using the quadratic formula, the solutions of ax^2 +bx +c = 0 are found from ...

  x = (-b±√(b²-4ac))/(2a)

  x = (-3±√(3²-4(2)(-20))/(2(2)) = (-3±√169)/4 = {-16, +10}/4

  x = {-4, 5/2}

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For ax^2 +bx +c = 0, the solutions must satisfy ...

  product of solutions is c/a = -20/2 = -10

Only the first and last choices have this product.

  sum of solutions is -b/a = -3/2

Only the first choice (-4, 5/2) has this sum.

8 0
3 years ago
X varies directly with<br> y. If x = 60 when<br> y = 75. find x when<br> y = 32.
Alex Ar [27]

Answer:

x=17

Step-by-step explanation:

3 0
2 years ago
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Find the area of the triangle.
BabaBlast [244]

Answer:

17.7 cm^2

Step-by-step explanation:

Use trig to find the height of the triangle. Then the area is bh/2.

Extend side BC to the right until it is vertically below point A. Draw a segment from point A vertically down until it intersects the extension of side BC. Call the point of intersection D. <D is a right angle.

Use triangle ABD to find the height, AD, of triangle ABC.

For <B of 37 deg, AD is the opposite leg. AB is the hypotenuse. The trig ratio that relates the opposite lefg to the hypotenuse is the sine.

sin B = opp/hyp

sin 37 deg = AD/13.1

AD = 13.1 * sin 37 deg

AD = 7.9

AD is the height of triangle ABC. BC is the base. We can find the area of triangle ABC.

area = bh/2

area = (4.5 cm)(7.9 cm)/2

area = 17.7 cm^2

5 0
3 years ago
Which of the following expressions describes the solution to -2x &lt; -10
larisa [96]
The answer would be ×>5 because when u divide by a negative the sign will switch.
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3 years ago
Michelle can run 5.44 miles in 68 minutes. What is Michelle's average speed, in miles per minute?
uranmaximum [27]
5.44 miles/68 minutes=
.08 miles/minute
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3 years ago
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