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2 years ago

A car dealership sold 480 vehicles last year. Of these vehicles, 15% were minivans.

Mathematics

1 answer:

natulia [17]2 years ago

7 0

You can use my photo as reference but its going to be 15/100 of 480

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2/3 divided by 11/15

NNADVOKAT [17]

You need to implement the process of "flip-flop" and multiply which is where you flip the second fraction and multiply.

$\frac{2}{3}$ ÷ $\frac{11}{15}$ ⇒ $\frac{2}{3}$ × $\frac{15}{11}$

Now you multiply across. 2×15=30 and 3×11=33

So now it is $\frac{30}{33}$

-----------------------------------------------------------
To reduce to the lowest terms, find the GCF common factor

The GCF is 3

Divide both the numerator and denominator by 3

$\frac{30}{33}$ ÷ $\frac{3}{3}$ = $\frac{10}{11}$

Answer: $\frac{10}{11}$

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2 years ago

Find all the solutions of sin x + cos x = 1 in the interval [0, 2pie).

Mashcka [7]

Answer:

X = 0, π/2 in the interval [0, 2pi).

Step-by-step explanation:

Use the auxiliary angle method:

R sin(x + a) = Rsin x cos a + Rcos x sin a = 1

sin x + cos x = 1

Comparing coefficients:

R cos a = 1 and R sin a = 1, so

tan a = R sin a / R cos a = 1

So a = π/4 radians.

Also R^2(sin^2 a + cos^2 a) = 1^2 + 1^2 = 2

Therefore R = √2.

So √2 sin (x +π/4 = 1

sin x + π/4 = 1/√2

x + π/4 = π/4

x = 0 radians

Also

x = 0 + π/2 = π/2.

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2 years ago

What is the value of k?

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I think the answer is 7 but im not positive

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