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3 years ago

5

The ratio of dogs to cats is 2 to 3. There are 10 pets total. How many dogs are there? How many cats are there?

1 answer:

AleksandrR [38]3 years ago

6 0

6 Dogs and 4 cats

explanation - with the 2:3 ratio, multiplying by two gives us 4:6, and combined (4+6) is 10

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Plss I need help as soon as posible like asap

True [87]

Answer:

option 2, 3, and 5

Step-by-step explanation:

Any equation that has an exponent would not be linear

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3 years ago

Which of the following equations could be th equation to represent the given graph? Make sure you explain your answer thoroughly

Alex17521 [72]

Answer:

Option (C) is correct.

Step-by-step explanation:

The given options of the possible equation for the graph are as follows:

$(A) y=2\left(\frac{3}{2}\right)^x \\\\(B) y=-2\left(\frac{3}{2}\right)^{-x} \\\\(C) y=2\left(\frac{2}{3}\right)^x \\\\(D) y=-2\left(\frac{2}{3}\right)^{-x} \\\\$

The given graph is decreasing and at x=0, y=2.

So, first checking the value of the given options for x=0

$(A) y=2\left(\frac{3}{2}\right)^0=2\times 1= 2 \\\\(B) y=--2\left(\frac{3}{2}\right)^{-0}= -2\times 1= -2 \; (not\; possible) \\\\(C) y=2\left(\frac{2}{3}\right)^0= 2\times 1= 2 \\\\(D) y=2\left(\frac{2}{3}\right)^{-0} = -2\times 1= -2 \; (not\; possible)$

As, for x=0, y=2, so options (C) and (D) are not possible, so rejected.

Now, checking the nature (increasing or decreasing) of the given equation by differentiating it.

For option (A),

$\frac{dy}{dx}=2\left(\frac{3}{2}\right)^{x}\times \ln\left(\frac{3}{2}\right)$

As $\ln \left(\frac{3}{2}\right)=\ln(1.5)>0 \;and\; \left(\frac{3}{2}\right)^{x} >0$

So, $\frac{dy}{dx}>0$

Therefore, the function in option (A) is increasing function.

Similarly, for option (C),

$\frac{dy}{dx}=2\left(\frac{2}{3}\right)^{x}\times \ln\left(\frac{2}{3}\right)$

As $\ln \left(\frac{2}{3}\right)=\ln(0.67)0$

So, $\frac{dy}{dx}$

Therefore, the function in option (C) is decreasing function.

As the given graph is decreasing, so, (C) represents $y=2\left(\frac{2}{3}\right)^x$ the given graph.

Hence, option (C) is correct.

6 0

3 years ago

At a hockey game, a vender sold a combined total of 204 sodas and hot dogs. The number of sodas sold was three times the number

Zielflug [23.3K]

Answer:

Step-by-step explanation:

Given that at a hockey game, a vender sold a combined total of 204 sodas and hot dogs.

The number of sodas sold was three times the number of hot dogs sold.

Let no of hot dogs be sold be x then no of sodas sold will be 3x

Total number of sodas and hot dogs $= x+3x=204\\x=51\\3x=153$

the number of sodas =153

and the number of hot dogs sold=51

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3 years ago

Which of the following properly describe slope? Check all that apply.

Lubov Fominskaja [6]

hope that helped or not

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3 years ago

Factor the polynomial:<br> a^2 − ab −8a+8b

Blizzard [7]

Ab9 is your answer my friend

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3 years ago