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3 years ago

8

Art and his friends spent $62 at the movies. Admission tickets cost $12 apiece, and a bucket of popcorn costs $7. Which equation

written in standard form represents the number of tickets bought, t, and the number of buckets of popcorn bought, p?

1 answer:

Darya [45]3 years ago

8 0

Answer: 12t+7p=62

Step-by-step explanation:

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The area of the trapezoid

ELEN [110]

Answer:

<h2>A = 82.5 in²</h2>

Step-by-step explanation:

The formula of an area of a trapezoid:

$A=\dfrac{b_1+b_2}{2}\cdot h$

b₁, b₂ - bases

h - height

We have b₁ = 10in, b₂ = 5in and h = 11in. Substitute:

$A=\dfrac{10+5}{2}\cdot11=\dfrac{15}{2}\cdot11=7.5\cdot11=82.5\ in^2$

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4 years ago

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Over a 3.5 year period, 27.5 inches of snow fell in Jackson City. What was the average yearly snowfall in Jackson Cit

Ilya [14]

27.5 / 3.5 = 7.86; The average yearly snowfall was 7.86 inches.

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3 years ago

How to make two addends for a problem in which you regroup ones 6,5,3,1 ,2 4

Blizzard [7]

Are the numbers 6,5,3,1,24? or is it 2,4?

5 0

3 years ago

WILL MARK AS BRAINLIST

sp2606 [1]

Answer:

C

Step-by-step explanation:

4x-5y=0

5y=4x

y=4x/5, or rather y = (4/5)*x

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Answers: Yes, direct variation, k=4/5

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3 years ago

Find the equation of a parabola that has a vertex of (-2,-3) and contains the point (4,1)

sweet [91]

$\bf ~~~~~~\textit{parabola vertex form}
\\\\
\begin{array}{llll}
\boxed{y=a(x- h)^2+ k}\\\\
x=a(y- k)^2+ h
\end{array}
\qquad\qquad
vertex~~(\stackrel{-2}{ h},\stackrel{-3}{ k})\\\\
-------------------------------\\\\
\begin{cases}
h=-2\\
k=-3
\end{cases}\implies y=a[x-(-2)]^2-3\implies y=a(x+2)^2-3
\\\\\\
\textit{we also know that }
\begin{cases}
x=4\\
y=1
\end{cases}\implies 1=a(4+2)^2-3
\\\\\\
4=36a\implies \cfrac{4}{36}=a\implies \cfrac{1}{9}=a
\\\\\\
therefore\qquad \boxed{y=\cfrac{1}{9}(x+2)^2-3}$

$\bf y=\cfrac{1}{9}(x+2)^2-3\implies y=\cfrac{1}{9}(x^2+4x+4)-3
\\\\\\
y=\cfrac{1}{9}x^2+\cfrac{4}{9}x+\cfrac{4}{9}-3\implies \stackrel{standard~form}{y=\cfrac{1}{9}x^2+\cfrac{4}{9}x-\cfrac{23}{9}}$

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4 years ago