MATHEMATICS HIGH SCHOOL

What would a model be for the math word problem Sammy has 50 pieces of gum. He wants to give 1/2 of the pieces to his brother and 3/4 of the pieces to his sister.

Answers

Answer 1

Answer:

Answer: X = 1/2(y)

Z= 3/4(x)

But x= 1/2(y)

So z = 3/4 * 1/2(y)

Z = 3/8(y)

Total= 1/2(y) +3/8(y) + 1/8(y)

Step-by-step explanation:

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Write log8 3 as a logarithm of base 5.1) (log3)5/(log8)5
2) (log5)3/(log5)8
3) (log8)5/(log3)5
4) (log5)8/(log5)3 ...?

Answers

The answer is 2) (log5)3/(log5)8

We will use the change-of-base formula: $log_a(x)= (log_b(x))/(log_b(a))$

So, if we want to write log8 3 as a logarithm of base 5, in these example a = 8, x = 3, b = 5:
$log_8(3)= (log_5(3))/(log_5(8))$

PLEASE HURRY IM BEING TIMED

Answers

Answer: -3

Step-by-step explanation: I GOT YOU BRO

The quotient of twice a number t and 12

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2t/12 would be your expression.

It takes a biker 1/2 hours to ride 8/3 miles. What is the biker's rate,in miles per hour?

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Answer:

The biker is traveling at $5(1)/(3)$ miles per hour.

Step-by-step explanation:

To find the rate, in miles per hour, you must use the formula r = d/t.

(r = rate)

(d = distance)

(t = time)

$(8)/(3)$ ÷ $(1)/(2)$ = $5(1)/(3)$

The sun rises between two mountain peaks. The edge of one mountain peak (right) forms a tangent with the sun. The other does not. What is the measure of the arc of the sun that is showing given that y=113º. Note: you are solving for the arc measure, not the arc length. Round your answer to one decimal place, if necessary.

Answers

Answer:

226°

Step-by-step explanation:

According to the Tangent and Intersected Chord Theorem, if a tangent and a chord intersect at a point on a circle, then the measure of each angle formed is one-half the measure of its intercepted arc.

Therefore, if y = 113°, then y is one-half of the intercepted arc x.:

$y=(1)/(2)m\overset\frown{x}$