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3 years ago

A theater can seat 160 people . If the theater is 60%full, how many more can fit in the theater

Mathematics

2 answers:

Anna11 [10]3 years ago

8 0

Answer:

64 people can fit in the theater.

Step-by-step explanation:

If 60% is full then calculate how many people is it

$\frac{60}{100} \times 160 = 96 \\ 160 - 96 = 64$

64 is 40% of 160

So this many people can be accommodated in the theater

Pavlova-9 [17]3 years ago

8 0

Answer:

64 more people can fit in the theater

Step-by-step explanation:

You need to find 60% of 160

10%=16 (divided by 10)

16×6=96

160 (total people)-96(60%)=64

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Carlo and Anita make mailboxes and toys in their wood shop. Each mailbox requires 1 hour of work from Carlo and 4 hours from Ani

Natali [406]

Answer:

$80

Step-by-step explanation:

Let the number of hours required to make a mailbox = x

Let the number of hours required to make a toy = y

Each mailbox requires 1 hour of work from Carlo and 4 hours from Anita.

Each toy requires 1 hour of work from Carlo and 1 hour from Anita.

The table below summarizes the information for ease of understanding.

$\left|\begin{array}{c|c|c|c}&$Mailbox(x)&$Toy(y)&$Maximum Number of Hours\\--&--&--&------------\\$Carlo&1&1&12\\$Anita&4&1&24\end{array}\right|$

We have the constraints:

$x+y \leq 12\\4x+y \leq 24\\x \geq 0\\y \geq 0$

Each mailbox sells for $10 and each toy sells for $5.

Therefore, Revenue, R(x,y)=10x+5y

The given problem is to:

Maximize, R(x,y)=10x+5y

Subject to the constraints

$x+y \leq 12\\4x+y \leq 24\\x \geq 0\\y \geq 0$

The graph is plotted and attached below.

From the graph, the feasible region are:

(0,0), (6,0), (4,8) and (0,12)

At (6,0), 10x+5y=10(6)+5(0)=60

At (4,8), 10(4)+5(8)=80

At (0,12), 10(0)+5(12)=60

The maximum revenue occurs when they use 4 hours on mailboxes and 8 hours on toys.

The maximum possible revenue is $80.

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3 years ago

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andrew-mc [135]

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Plug in the expressions that each function is equal to:

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Distribute the negative, get rid of parentheses:

x^2 - 2x + 11 + x^3 + 4x^2 - 5

Combine like terms:

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3 years ago

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agasfer [191]

Answer:

f(x)=(x-2)(x+2)(x-4)

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3 years ago

How many natural numbers N have the property among 1,2,..........,N exactly 30% are divisible by 3?

k0ka [10]

Answer:

The answer is B. 2.

Step-by-step explanation:

We know that for N = 1 and N = 2, none of them are divisible by 3.

For N = 3, 33.33% are divisible by 3. For N = 4, 25% (which is already less than 30%), so N = 5 would also be less.

At N = 6, we're back up to 33.33%. N = 7 is already less than 30%.

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Moving along, at N = 18, 33.33%. N = 20 is again 30% (3, 6, 9, 12, 15, and 18). Two cases now.

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zimovet [89]

Answer:

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Step-by-step explanation:

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