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2 years ago

Two angles are supplementary. One angle measures 60 degrees. What is the measure of the other angle?

Mathematics

1 answer:

algol132 years ago

5 0

120 degrees because the sums have to equal 180 degrees

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A woman is 32 years older than her daughter. The product of their ages is 528. How old was the woman when the daughter was born?

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The woman was 32 when her daughter was born

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2 years ago

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A microwave is placed on top of two boxes. One box is 4 feet 7 inches tall the other box is 4 feet 9 inches tall and the microwa

Vikentia [17]

The answer is 12 feet 3 inches

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3 years ago

Waiting Line Models:Movies tonight is a typical video and dvd movie rental outlet for home-viewing customers. During the weeknig

pentagon [3]

Answer:

Probability [No customers in system] = 0.375
Customers waiting for service = 25/24
Average time customer wait = 1.25/1.5
May be wait
Per customer average time = 1.33 (Approx)

Step-by-step explanation:

Given:

Arrival rate λ = 1.25 min

Mean μ = 2

Computation:

(a) Probability [No customers in system]

Probability [No customers in system] = 1-[λ/μ]

Probability [No customers in system] = 1-[1.25/2]

Probability [No customers in system] = 0.375

(b) Customers waiting for service

Customers waiting for service = λ²/ [μ(μ-λ)]

Customers waiting for service = 1.25²/ [2(2-1.25)]

Customers waiting for service = 25/24

(c) Average time customer wait

Average time customer wait = λ / [μ(μ-λ)]

Average time customer wait = 1.25/ [2(2-1.25)]

Average time customer wait = 1.25/1.5

(d) May be wait because Customers waiting for service = 25/24

(e) Per customer average time

Per customer average time = 1/(μ-λ)

Per customer average time = 1/(2-1.25)

Per customer average time = 1.33 (Approx)

7 0

2 years ago

Find the zeros of the function by rewriting the function in intercept form

galben [10]

$y=3x^2+2x\\
y=x(3x+2)\\
y=x(x+\frac{2}{3})\\
x=0 \vee x=-\frac{2}{3}\\\\
f(x)=5x^2-25x+30\\
f(x)=5(x^2-5x+6)\\
f(x)=5(x^2-2x-3x+6)\\
f(x)=5(x(x-2)-3(x-2))\\
f(x)=5(x-3)(x-2)\\
x=3 \vee x=2

$

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3 years ago

Three times the sum of a number and 15 is 24

allsm [11]

Answer:

$\huge\boxed{\sf x = -7}$

Step-by-step explanation:

Let the number be x

So,

=> The sum of number and 15 is x + 15

=> Three times will be 3(x+15)

Given that it equals 24

So, the given condition is:

3(x+15) = 24

Resolving Parenthesis

3x + 45 = 24

Subtracting 45 to both sides

3x = 24 - 45

3x = -21

Dividing both sides by 3

x = -7

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2 years ago

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