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3 years ago

4.06 Question 5

Mathematics

1 answer:

AnnyKZ [126]3 years ago

4 0

Adults be x
Campers be y

Total rooms =200

So inequality is given by

$\\ \sf\longmapsto x+y\leqslant 200$

Now

Adult costs 4$ and Camper costs 3\$

Inequality is given by

$\\ \sf\longmapsto 4x+3y\leqslant 750$

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Seven less than a number is 14 more than 2 times that number. What is the number?

ratelena [41]

Answer:

x=-21

Step-by-step explanation:

x-7=2x+14

-7=x+14

-21=x

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4 years ago

Given sin (-theta) = 1/5 and tan theta = sqrt.6/12

stich3 [128]

Given $sin (\theta) = \frac{1}{5}$ , and $tan \theta = \frac{\sqrt{6} }{12}$ , then:

$cos\theta=\frac{2\sqrt{6} }{5}$

<h3> Computations on trigonometric identities</h3>

From the details provided:

$sin (\theta) = \frac{1}{5}\ \\\\tan \theta = \frac{\sqrt{6} }{12} \times \frac{\sqrt{6} }{\sqrt{6} }\\\\tan \theta = \frac{\sqrt{6} \times \sqrt{6} }{12 \times \sqrt{6} }\\\\tan \theta =\frac{1}{2\sqrt{6} }$

From the relationship above:

Opposite = 1

Adjacent = $2\sqrt{6}$

Hypotenuse = 5

$cos\theta=\frac{Adjacent}{Hypotenuse} \\\\cos\theta=\frac{2\sqrt{6} }{5}$

Learn more on trigonometry here: brainly.com/question/20519838

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3 years ago

WILL MARK BRAINLEIST

victus00 [196]

Reason 2 Becuase shows how they explain there process

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3 years ago

Find the value of x^3 + y^3 – 12xy + 64 when x + y = (-4)

Masteriza [31]

Answer:

Step-by-step explanation:

Using the algebraic expansion

x³ + y³ = (x + y)³ - 3xy(x + y)

Given

x³ + y³ - 12xy + 64

= (x + y)³ - 3xy(x + y) - 12xy + 64

Substitute x + y = - 4 into the expression

= (- 4)³ - 3xy(- 4) - 12xy + 64

= - 64 + 12xy - 12xy + 64

= 0

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3 years ago

What property was applied to solve the equation below?

melisa1 [442]

Answer:

Division property

Step-by-step explanation:

The property which states that we can divide both side of the equation by the same non-zero number is called the division property of equality.

The goal of dividing an equation is to isolate the unknown variable on one side.

For example, let the equation be:

2×x=10

Since the unknown variable x is being multiplied by the number 2, to isolate the variable an inverse operation needs to be applied - division:

2×x÷2=10÷2

Careful! Never forget to write the same operation on both sides of the equation! When doing so, the solution of the equation stays the same, i.e. we get an equivalent equation.

Step-by-step explanation:

6 0

3 years ago

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