MATHEMATICS HIGH SCHOOL

The quantities x and y are proportional. If x is 3 and y is 9, find the constant of proportionality (r) in the equation y = rx. A) 1 B) 2 C) 3 D) 4

Answers

Answer 1
Answer:

Answer:

C

Step-by-step explanation:

given that x and y are proportional then the equation relating them is

y = rx ← r is the constant of proportionality

to find r, substitute x = 3 and y = 9 into the equation

9 = 3r ( divide both sides by 3 )

3 = r

the constant of proportionality is r = 3

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The inside of the container is 50 cm long, 20 cm wide, and 25 cm tall. How far from the top of the container is the surface of the water?

Answers

Answer:

25,000 cm^3

Step-by-step explanation:

V=hwl

V=(25)(20)(50)

V=25*1000

V=25000

What is the value of the underlined digit? 56.(1)23

Answers

The value of the underlined digit would be the tens place

Which one is it , help me on this please please please please please please please

Answers

Answer:

D

Step-by-step explanation:

7^-2 = 1/7^2

The negative means you flip it

1/7^2 times 7^6 is 7^6/7^2 (just multiply).

using rules of exponents, 7^6/7^2 is 7^4 (just subtract 2 from 6)

D is the only one that equals 7^4, as 2 times 2 is 4.

The pair of points( 6 ,y) and (10, -1) lie on a line with slope 1/4. What is the value of y?

Answers

We know that general formula for the line is y=ax+b, we know that a=1/2. To get b we can subsittute x=10 and y=-1 (from the second point)
-1=1/2*10+b
-1=5+b     /-5
-6=b
We know that our line is y=1/2x-6
Now we can substitute x=6 (from first point) and find value of y
y=1/2*6-6
y=3-6
y=-3 - its the answer

Determine whether the sequence converges or diverges. if it converges give the limit. 48, 12, 3, 3/4, ...

Answers

The sequence converges.
The limit of the sequence is 0.

-------------------------------------------------------------

This is a geometric sequence with the first term a = 48 and r = 1/4 = 0.25 as the common ratio. Since |r| < 1, this means that the terms are steadily getting smaller and smaller. The terms will approach 0 but not actually get there.

Note: if you added up all the terms of this infinite sequence, then the sum would be S = a/(1-r) = 48/(1-0.25) = 64

Write a compound inequality that represents the situation. On a road in the city of Rochester, the maximum speed is 50 miles per hour, and the minimum speed is 20 miles per hour.A. 20 > x > 50

B. 20 ≤ x ≤ 50

C. 20 ≥ x ≥ 50

D. 20 < x < 50

Answers

Answer:

B. 20 ≤ x ≤ 50

Step-by-step explanation:

If the maximum speed is 50 miles per hour, that means it cannot go above 50 miles per hour, it has to be 50 miles per hour or less, which is expressed like this

x\leq 50

Now, if the minimum speed is 20 miles per hour, that means the speed can only be 20 miles per hour or more, that's represented as

x\geq 20

If we unit both expression, we would have the following compound inequality

20\leq x\leq 50

This means that the speed has to be 20 miles per hour or more, but 50 miles per hour or less.

Therefore, the right answer is

The correct answer is b. Hope that helps!
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