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3 years ago

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When the movie is half over, popcorn sells for half price. Full price popcorn is $3.50, and drinks are $1.35. Determine the cost

for purchasing 3 orders of popcorn and 3 drinks when the movie is half over.
$ ________

1 answer:

11Alexandr11 [23.1K]3 years ago

7 0

Answer:

$9.3

Step-by-step explanation:

1.35 x 3 = 4.05

3.50 ÷ 2 = 1.75

1.75 x 3 = 5.25

5.25 + 4.05 = 9.30

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Tyrone invested money for 3 years at 5% interest. If the interest paid was $60, how much money was invested? What was the total

yan [13]

Answer:

He invested $1200 and had a balance of $1260 after 3 years.

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3 years ago

The function h(x) = x2 + 14x + 41 represents a parabola. Part A: Rewrite the function in vertex form by completing the square. S

denpristay [2]

Given the function h(x)=x^2+14x+41, to solve by completing square we procced as follows;
x^2+14x+41=0
x^2+14x=-41
but;
c=(b/2)^2
and b=14
hence;
c=(14/2)^2=49
substituting the value of c in the expression we get:
x^2+14x+49=-41+49
x^2+14x+49=8
(x+7)^2=8
this can be written in vertex form;
h(x)=a(x-h)^2+k
where:
(h,k) is the vertex;
thus
(x+7)^2=8
h(x)=(x+7)^2-8
hence the vertex will be at the point:
(-7,-8)

3 0

3 years ago

A pigpen is to be enclosed using 640 m of fencing along three of its sides, the fourth side being a barn. Determine the dimensio

Basile [38]

Answer:

$W_{max}=480m\\ L_{max}=160m$

Step-by-step explanation:

Since we know we only have 640 feet of fence available, we know that L + W + L = 640, $\implies$ 2L + W = 640. This allows us to represent the width, W, in terms of L: W = 640 – 2L

Remember, the area of a rectangle is equal to the product of its width and length, therefore,

$A_{\rm pigpen}=L(640-2L)\implies 640L-2L^2$

Notice that, quadratic has been vertically reflected, since the coefficient on the squared term is negative, so the graph will open downwards, and the vertex will be a maximum value for the area.

recall,

$x_{max}=-b/2a$
$f(x)_{max}=f(x_{max})$

Since our function is A(L)=640L-2L², we get

a=-2
b=640

plug in the value of a and b into the first formula:

$L_{max}=-(640)/2(-2)\implies 160$

$A(L)_{max}=640(160)-2(160)^2\implies 76800$

hence,the dimensions of the pen that will maximize the area are<u> </u><u>L=</u><u>1</u><u>6</u><u>0</u><u>m</u><u> </u>and<u> </u><u>W=</u><u>7</u><u>6</u><u>8</u><u>0</u><u>0</u><u>/</u><u>1</u><u>6</u><u>0</u><u>=</u><u>4</u><u>8</u><u>0</u><u>m</u>

and we're done!

3 0

2 years ago

I need help asap I'll give brainliest

weqwewe [10]

What's the question?

5 0

3 years ago

Order from least to greatest. 10/8, 1.2, 0.556, 0.8%

Vsevolod [243]

The order from least to greatest is 0<u>.8%, 0.556, 1.2 and 10/8</u>

<h3>Ordering of numbers</h3>

In order to order the given numbers, we will first have to write them as a percentage as shown.

Given the number below

10/8, 1.2, 0.556, 0.8%

Convert to percentage

10/8 = 125%

1.2 = 120%

0.556 = 55.6%

0.8%

Hence the order from least to greatest is 0<u>.8%, 0.556, 1.2 and 10/8</u>

Learn more on ordering here; brainly.com/question/12399107

#SPJ1

8 0

2 years ago