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ZanzabumX [31]
3 years ago
7

mr and mrs gracia took their three children to see a matinee on saturday. they spent a total of 55.50, which included 29.95 at t

he concession stand. if the tickets cost the same for everybody, how much did each ticket cost?
Mathematics
1 answer:
andrezito [222]3 years ago
3 0

First, you would subtract 29.95 from 55.50, and you get 25.55. because 5 people went, and the cost for each was the same, you would divide 25.55 by five, and get $5.11 per person.
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serg [7]

Answer:

4x^2+15x+15+\frac{35}{x-3}

Step-by-step explanation:

Let f(x) = 4x3 + 3x2 − 20x − 15 and g(x) = 4x + 3. Find f of x over g of x.

\frac{f(x)}{g(x)} \\\frac{4x^3 + 3x^2 - 20x - 15}{4x+3}

4x^2+15x+15+\frac{35}{x-3}

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4 years ago
Hey I really need help, like rn!!! What is the scale factor of the triangle dilated from OPQ to OP’Q’ from center O? Explain and
d1i1m1o1n [39]

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3 years ago
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What do you know about a quadratic equation that has the following points (2, 0) and (10, 0)?
Agata [3.3K]

Answer:

C.  The x-coordinate of the vertex must be 6

Step-by-step explanation:

The parabola intercepts the x-axis when y = 0.

Therefore, if the quadratic equation has the points (2, 0) and (10, 0) then the x-intercepts or "zeros" are x = 2 and x = 10.

The x-coordinate of the vertex is the midpoint of the zeros.

\sf \implies midpoint=\dfrac{2+10}{2}=6

Therefore, the solution is option C.

<u>Additional Information</u>

The leading coefficient of a quadratic tells us if the parabola opens upwards or downwards:

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We have not been given this information and so therefore cannot determine the way in which it opens.

As we do not know the way in which way the parabola opens, we cannot determine if the parabola will have a negative or positive y-intercept.

We have not been given the full quadratic equation, and so we cannot determine if the parabola is wider (or narrower) than the parent function.

3 0
3 years ago
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Reika [66]
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C(x) = 49.5(4) +19.5
C(x) = 198 +19.5
C(x) = 217.5
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6 0
4 years ago
James needs 70 liters of 50% antifreeze. He has 30% antifreeze and 80% antifreeze avail- able. How many liters of the 30% antifr
Goshia [24]

Answer:

(42,28)

Step-by-step explanation:

set up the problem by converting percentages to decimal

x+y=70

.30x+.80y=50(x+y)

solve for x, so minus y in order to get it x alone. equation should look like this: x=70-y

30(70-y)+80y=50(70-y+y)

solve the equation for y

y=28

plug the value of y into the equation x=70-y

x=70-28

solve for x

x=42

check the solution of (42,28)

42+28=70

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simplify the equations

70=70

3500=3500

the ordered pair is a solution

so James needs 42 liters of 30% antifreeze and 28 liters of 80% antifreeze.

(42,28)

message me on ig for math help: eduardo.gti

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