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3 years ago

rewrite each ratio as a number compared to a 100. 17/25 = / 100 33/50= /100 15/20= /100

Mathematics

2 answers:

Viefleur [7K]3 years ago

7 0

17/25 = 68/100 33/50 = 66/100 15/20 = 75/100

bearhunter [10]3 years ago

3 0

Suprising this question was posted in 2015 so I'm very late! though I guess you already know the answer. If you could reply to this then that would be suprising since it was since 2015. Though I thought the last one was 14/20 = 70/100. Do you remember if 75/100 was correct? if not then it was possibly 70/100.

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Suppose a tank contains 400 gallons of salt water. If pure water flows into the tank at the rate of 7 gallons per minute and the

Strike441 [17]

Answer:

Step-by-step explanation:

This is a differential equation problem most easily solved with an exponential decay equation of the form

$y=Ce^{kt}$ . We know that the initial amount of salt in the tank is 28 pounds, so

C = 28. Now we just need to find k.

The concentration of salt changes as the pure water flows in and the salt water flows out. So the change in concentration, where y is the concentration of salt in the tank, is $\frac{dy}{dt}$ . Thus, the change in the concentration of salt is found in

$\frac{dy}{dt}=$ inflow of salt - outflow of salt

Pure water, what is flowing into the tank, has no salt in it at all; and since we don't know how much salt is leaving (our unknown, basically), the outflow at 3 gal/min is 3 times the amount of salt leaving out of the 400 gallons of salt water at time t:

$3(\frac{y}{400})$

Therefore,

$\frac{dy}{dt}=0-3(\frac{y}{400})$ or just

$\frac{dy}{dt}=-\frac{3y}{400}$ and in terms of time,

$-\frac{3t}{400}$

Thus, our equation is

$y=28e^{-\frac{3t}{400}$ and filling in 16 for the number of minutes in t:

y = 24.834 pounds of salt

6 0

3 years ago

Given: △CGF ,CG=GF=CF=and, KOPS is a square inside this triangle with one side on CF and its two vertices on CG and GF

shepuryov [24]

Answer:

AKPOS/ACGF = 28√3 -48 ≈ 0.497423

Step-by-step explanation:

Let's assume the square is a unit square. Then the height of the triangle is ...

1 +(√3)/2 = h

and half the base of the triangle is ...

h/√3 = (√3)/3 +1/2 = b/2

The area of the triangle is the product of these:

A = (1/2)bh

= (2 +√3)/2 × (3 +2√3)/6

= (6 +3√3 +4√3 +6)/12 = (12 +7√3)/12

So, the ratio of the area of the square to that of the triangle is the inverse of this, or ...

(square area)/(triangle area) = 12/(12+7√3)

(square area)/(triangle area) = 28√3 -48

8 0

3 years ago

What are the coordinates of R' after a dilation by a scale factor of 3, centered at the origin, followed by the translation (x,

emmainna [20.7K]

9514 1404 393

Answer:

C. (9, 18)

Step-by-step explanation:

Given R(3, 5), a dilation by a factor of 3 will multiply each coordinate to give ...

(9, 15)

Then the translation up by 3 will give you the image coordinates ...

(x, y) ⇒ (x, y+3)

(9, 15) ⇒ (9, 15 +3) = (9, 18)

The coordinates of R' are (9, 18), matching choice C.

_____

Comment on multiple choice answers

As it often does, here it works to "guess" the answer that has the coordinates that are most-repeated. An x-coordinate of 9 is part of 3 answer choices; a y-coordinate of 18 is the only repeated value in the answer choices. If you were to guess, an appropriate guess would be (9, 18). That happens to be correct in this case.

8 0

3 years ago

How do I write each number as a power of the given base? example: 49; base 7

VLD [36.1K]