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3 years ago

7

Kenji feeds his cats a mixture of wet and dry food at every meal. He mixes 5 spoonfuls of dry food and 10 spoonfuls of wet food

for Tiger, his adult cat. He mixes a smaller meal with 3 spoonfuls of dry food and 5 spoonfuls of wet food for his kitten, Smokey. Do the two meals have the same ratio of dry food to wet food?
Yes or No

1 answer:

Sergio039 [100]3 years ago

3 0

The answer is no it is not the same ratio

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A manufacturer finds that the revenue generated by selling of cortan commodity is given by function R(x)=80x-0.2x^ 2 , where he

Nina [5.8K]

The maximum units is 200 and , Total revenue is $8,000

<u>Step-by-step explanation:</u>

Here we have , A manufacturer finds that the revenue generated by selling of cortan commodity is given by function R(x)=80x-0.2x^ 2 , where he maximum reveremany should be manufactured to obtain this maximum units .Let's find out:

We have following function as $R(x)=80x-0.2x^ 2$ . Let's differentiate this and equate it to zero to find value of x for which the function is maximum!

⇒ $R(x)=80x-0.2x^ 2$

⇒ $\frac{d(R(x))}{dx}=\frac{d(80x-0.2x^ 2)}{dx}$

⇒ $\frac{d(R(x))}{dx}=\frac{d(80x)}{dx}-\frac{d(0.2x^ 2)}{dx}}$

⇒ $0=80-2x(0.2)$

⇒ $\frac{80}{0.4}=x$

⇒ $x=200$

Now , Value of function at x=200 is :

⇒ $R(200)=80(200)-0.2(200)^ 2$

⇒ $R(200)=16000-8000$

⇒ $R(200)=8000$

Therefore , The maximum units is 200 and , Total revenue is $8,000

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3 years ago

The double dot plot shows the number of points scored by Sam and Daniel in 15 games. What is the difference between their median

just olya [345]

Answer:

4.9

Step-by-step explanation:

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2 years ago

Suzanne made 2 gallons of punch to be divided equally among 10 people. How much punch did each person get

alexdok [17]

10 divided by 2= 5 Each person will get 5 punch

5 0

3 years ago

Read 2 more answers

Show work and Factor 4x^2+xy-18y^2

grigory [225]

Answer:

$4x^2+xy-18y^2=(4x+9y)\,(x-2y)$

Step-by-step explanation:

Let's examine the following general product of two binomials with variables x and y in different terms:

$(ax+by)\,(cx+dy)= ac\,x^2+adxy+bcxy+bdy^2$

so we want the following to happen:

$a\,c = 4\\ad+bc=1\\bd--18$

Notice as well that $ad+bc =1$ means that those two products must differ in just one unit so, one of them has to be negative, or three of them negative. Given that the product $bd=-18$ , then we can consider the case in which one of this (b or d) is the negative factor. So let's then assume that $a\,\,and \,\,c$ are positive.

We can then try combinations for $a\,\,and \,\,c$ such as:

$a = 4;\,\,c=1\\a=2;\,\,c=2\\a=1;\,\,c=4$

Just by selecting the first one $(a=4;\,\,c=1)$

we get that $4d_b=1\\b=-4d-1$

and since

$bd=-18\\(-4d-1)\,d=-18\\-4d^2-d=-18\\4d^2+d-18=0$

This quadratic equation give as one of its solutions the integer: d = -2, and consequently,

$d=-18/(-2)\\d=9$

Now we have a good combination of parameters to render the factoring form of the original trinomial:

$a=4; \,\,b=9;\,\,c=1;\,\,d=-2$

which makes our factorization:

$(4x+9y)\,(x-2y)=4x^2+xy-18y^2$

6 0

3 years ago

Find the value of x. No calculator needed. Leave the square root as a part of your answer.

aleksklad [387]

Answer:

5/V2=2.5×V2

Step-by-step explanation:

This is an isoscelle right triangle:

x²+x²=5²

2x²=5²

x=5/V2=5×V2/2=2.5×V2

where V2=sqrt(2)

4 0

3 years ago