An IMAX movie ticket cost $16. You have $50. Write an inequality to represent the number of IMAX movie tickets, t, you can buy.

Mathematics

2 answers:

Gekata [30.6K]2 years ago

6 0

Answer:

t > 3

Explantion

Hunter-Best [27]2 years ago

5 0

Answer:

t > 3

Step-by-step explanation:

because 16 x 3 = 48 so you can buy 0 - 3 tickets

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Tim and Jim are working on a school project together. If he had to work by himself, it would take

Vladimir [108]

Answer: 6 hours

Step-by-step explanation:

Given, Tim and Jim are working on a school project together.

Tim takes 10 hours to complete the school project.

If Jim worked alone, it would take him 15 hours

Let t be the time they both take if they work together.

Then, $\dfrac{1}{t}=\dfrac{1}{\text{Time taken by Tim}}+\dfrac{1}{\text{Time taken by jim}}$

$\Rightarrow\ \dfrac{1}{t}=\dfrac{1}{10}+\dfrac{1}{15}\\\\\Rightarrow\ \dfrac{1}{t}=\dfrac{3+2}{30}=\dfrac{5}{30}\\\\\Rightarrow\dfrac{1}{t}=\dfrac{1}{6}\\\\\Rightarrow t=6$

So, it will take 6 hours to complete the school project together .

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3 years ago

A gardener has 640 feet of fencing to fence in a rectangular garden. One side of the garden is bordered by a river and so it doe

kari74 [83]

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Answer:

160 ft (out from the river)
320 ft (parallel to the river)

Step-by-step explanation:

Let x represent the length of fence parallel to the river. Then the dimension of perpendicular to the river will be half the remaining fence: (640-x)/2. The total area will be ...

A = x(640-x)/2

This is the equation of a parabola that opens downward. It has zeros at x=0 and x=640, so its axis of symmetry is x = (0+640)/2 = 320. That is, the peak of the area curve is found when x=320.

The dimensions of the garden with the largest area are 160 ft wide by 320 ft long, where the long side is the river side.