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VladimirAG [237]
3 years ago
9

The ratio of M & M’s to raisins in a bag of trail mix is 3:5. If there are 36 M & M’s, how many raisins are there?

Mathematics
1 answer:
Iteru [2.4K]3 years ago
4 0
The correct answer is 60 raisins.  To get this answer you will write a proportion of M & Ms to raisins and create and equivalent ratio using the number 36.  

After you have the proportion set up, you will use cross products to solve for the number of raisins.

You can also use equivalent ratios to find the number of raisins.  

Both of these strategies are shown in the attached picture.

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Simplify completely 2x-24 over 8
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it took Peter 3 hours to drive to his friend in Connecticut when he was driving with the average speed 54 mph.Find the constant
Vsevolod [243]

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8 0
3 years ago
Can someone check my work?. 1. Simplify the given expression.. (7 − 3i) • (2 − i) . 4 + i (MY ANSWER) . . 14 + 3i . . 11 − 13i .
Annette [7]
1. (7 − 3i) • (2 − i)
It is simplified as follows:
14 - 7i  -6i - 3
11 - 13i

2. <span>(−5 + 3i) • (1 − 2i) 
</span><span>It is simplified as follows:
</span><span>-5 + 10i + 3i + 6
1 + 13i

3. (1 + 3i) + (2 − 5i) 
</span><span>It is simplified as follows:
</span>1 + 3i + 2 − 5i<span>
3 - 2i

4. (6 + 2i) − (8 − 3i) 
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</span><span>6 + 2i − 8 + 3i
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4 0
3 years ago
Let g be the function given by g(x)=limh→0sin(x h)−sinxh. What is the instantaneous rate of change of g with respect to x at x=π
lorasvet [3.4K]

The <em>instantaneous</em> rate of change of <em>g</em> with respect to <em>x</em> at <em>x = π/3</em> is <em>1/2</em>.

<h3>How to determine the instantaneous rate of change of a given function</h3>

The <em>instantaneous</em> rate of change at a given value of x can be found by concept of derivative, which is described below:

g(x) =  \lim_{h \to 0} \frac{f(x+h)-f(x)}{h}

Where h is the <em>difference</em> rate.

In this question we must find an expression for the <em>instantaneous</em> rate of change of g if f(x) = \sin x and evaluate the resulting expression for x = \frac{\pi}{3}. Then, we have the following procedure below:

g(x) =  \lim_{h \to 0} \frac{\sin (x+h)-\sin x}{h}

g(x) =  \lim_{h \to 0} \frac{\sin x\cdot \cos h +\sin h\cdot \cos x -\sin x}{h}

g(x) =  \lim_{h \to 0} \frac{\sin h}{h}\cdot  \lim_{h \to 0} \cos x

g(x) = \cos x

Now we evaluate g(x) for x = \frac{\pi}{3}:

g\left(\frac{\pi}{3} \right) = \cos \frac{\pi}{3} = \frac{1}{2}

The <em>instantaneous</em> rate of change of <em>g</em> with respect to <em>x</em> at <em>x = π/3</em> is <em>1/2</em>. \blacksquare

To learn more on rates of change, we kindly invite to check this verified question: brainly.com/question/11606037

4 0
2 years ago
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