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natali 33 [55]
2 years ago
11

A. Explain why the area of the large rectangle is 2a + 3a + 4a.

Mathematics
1 answer:
Musya8 [376]2 years ago
3 0
A) Because we finding the area of each rectangle and added together, which equal to the area of the larger rectangle
B) Because area = width x length. That’s the reason we added all the width and multiply their length
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The ratio of red cars to blue cars in a parking lot was 9 : 5. If there were 54 red cars, how many blue cars were there?
const2013 [10]

Answer:

there is 30 blue cars.

Step-by-step explanation:

If you know that the 9 in the ratio is the red cars. You would do 54/9=6. Then to find the blue cars you would do 6*5=30 30 is your answer (big brain)

6 0
3 years ago
6. A tank contains 100-gallon of pure water. At time t = 0, a solution containing 2 lb of salt per gallon flows into the tank at
SOVA2 [1]

Answer:

The answer is below

Step-by-step explanation:

Let Q represent the amount of salt in the tank at time t.

\frac{dQ}{dt}= flow\ in - flow\ out\\ \\flow\ in=3\ gal/min*2\ lb/gal=6\ lb/min\\\\net\ gain\ in\ tank\ volume=3-4=-1, henceflow\ out= \frac{4Q}{100-t} \\\\\frac{dQ}{dt}= 6-\frac{4Q}{100-t} \\\\\frac{dQ}{dt}+ \frac{4Q}{100-t}=6\\\\The \ integrating\ factor\ is:\\\\IF=e^{\int\limits {\frac{4}{100-t} } \, dt }=e^{-4\int\limits {\frac{-1}{100-t}}=e^{-4ln(100-t)}=(100-t)^{-4}}\\\\Multiplying\ through  \ by\ IF: \\\\(100-t)^{-4}\frac{dQ}{dt}+ (100-t)^{-4}\frac{4Q}{100-t}=6(100-t)^{-4}\\\\

Integrating:\\\\A(100-t)^{-4}=-2(100-t)^{-3}+c\\\\A=-2(100-t)+\frac{c}{(100-t)^{-4}} \\\\at, t=0,A=0\\\\0=-2(100-0)+\frac{c}{(100-0)^{-4}}\\\\c=0.02\\\\A=-2(100-t)+\frac{0.02}{(100-t)^{-4}}

7 0
3 years ago
If = and x > 0 what is the value of x ?
Masteriza [31]

O valor de x é 45º

Explicação:Confia no pai

8 0
3 years ago
15 of 20 answer
expeople1 [14]

Answer:

8 bags

Step-by-step explanation:

You divided them by 20 which gives you 4. So you take the 3 and multiply by 4 which is 12 bags. And then you do the same for your bags which makes you do 2 times 4 which gives you 8. You take 20 - 12 and that leaves you with 8.

3 0
3 years ago
Which phrase is the best description of the association between variables X and Y?
Elodia [21]
The variables have a negative association/correlation, because when one value increases (ex: x) the other decreases (see y)
If you would put a line through the dataset most of the points would be quite a bit off the line so the association is only moderate and not strong

so the answer is it is a "moderate negative association"
3 0
3 years ago
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