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vaieri [72.5K]
3 years ago
8

teddy brings snacks and ice cream while they wait for santa to arrive on christmas eve if the ice cream has 1250 calories for 5

servings what is the unit rate
Mathematics
1 answer:
Gnom [1K]3 years ago
5 0

Answer:

The unit rate is <u>250 calories per servings</u>.

Step-by-step explanation:

Given:

The ice cream has 1250 calories for 5 servings.

Now, to find the unit rate.

So, by using unitary method:

If the 5 servings of ice cream has 1250 calories.

Then, to get the calories in 1 servings we divide number of calories by the number of servings:

= Number\ of\ calories \div number\ of\ servings

=1250\ calories\div 5\ servings

=250\ calories.

Thus, in 1 servings there are 250 calories.

Therefore, the unit rate is 250 calories per servings.

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Answer:

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Step-by-step explanation:

Given information: |a| = 80, |b| = 50, the angle between a and b is 3π/4.

We need to find the dot product  a · b.

The formula of dot product is

a\cdot b=|a||b|\cos \theta

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Substitute the given values in the above formula.

a\cdot b=(80)(50)\cos (\frac{3\pi}{4})

a\cdot b=4000\cos (\pi-\frac{\pi}{4})

a\cdot b=-4000\cos (\frac{\pi}{4})           [\because \cos (\pi-\theta)=-\cos \theta]

a\cdot b=-4000\frac{1}{\sqrt{2}}

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Rationalize the above equation.

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a\cdot b=-\frac{4000\sqrt{2}}{2}

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Therefore, the value of a · b is a\cdot b=-2000\sqrt{2}.

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