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BigorU [14]
1 year ago
13

A goal is to get at least 10% of daily calories from polyunsaturated fats as are found in various nuts, oils, and fish. One serv

ing of walnuts (about 15 pieces) has about 20 g of polyunsaturated fat. Each fat gram has 9 calories. About what percent of daily calories does one serving of walnuts provide, assuming a 2,000-calorie diet?
Mathematics
1 answer:
natka813 [3]1 year ago
6 0
To get 10% of your calories from polyunsaturated fats you would need to eat 200 calories worth. So 1 serving of walnuts would give you 180 calories. So one serving of walnuts would be 9% of your daily calories.
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Which graph best represents the following situation? As x increases, y decreases; r=-0.87.
liberstina [14]

Answer:

Graph A.

Step-by-step explanation:

The X-Axis refers to strictly horizontal movement, so the farther right it moves, the lower the dots should be on the graph because (x+,y-).

8 0
2 years ago
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Most cars get their best gas mileage when traveling at a relatively slow speed. The gas mileage M for a certain new car is model
NeTakaya
In this item, it is assumed that we are to determine the speed at which the car will have the best gas mileage. This can be done by deriving the equation and equating it to zero.

       M(s) = -1/28s² + 3s - 31

Deriving,
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5 0
2 years ago
Wyatt solved the following equation:
NikAS [45]

Answer:

<u>Option B</u>

Step-by-step explanation:

The question is as following:

x+\frac{1}{2} (6x-4) =6

Step Work Justification

1 2x + 6x − 4 = 12

2 8x − 4 = 12

3 8x = 16

4 x = 2

Which of the following has all of the correct justifications Wyatt used to solve this equation?

A. Distributive property. 2. Combine like terms. 3. Addition property of equality. 4. Division property of equality.

B. Multiplication property of equality. 2. Combine like terms. 3. Addition property of equality. 4. Division property of equality.

C. Distributive property. 2. Combine like terms. 3. Subtraction property of equality. 4. Division property of equality.

D. Multiplication property of equality. 2. Combine like terms. 3. Subtraction property of equality. 4. Division property of equality

<u />

<u>The answer:</u>

Step Work Justification

multiply both sides by 2

1) 2x + 6x − 4 = 12 ⇒  {Multiplication property of equality}

{Combine like terms}

2) 8x − 4 = 12 ⇒

Adding 4 both sides

3) 8x = 16       ⇒ {Addition property of equality}

divide both sides by 8

4) x = 2           ⇒ {Division property of equality}

The answer is option B

(B) Multiplication property of equality. 2. Combine like terms. 3. Addition property of equality. 4. Division property of equality.

6 0
2 years ago
Find the quantity q that maximizes profit if the total revenue, R(q), and total cost, C(q) are given in dollars by R(q)=3q−0.002
marysya [2.9K]

Answer:

The value of q that maximize the profit is q=200 units

Step-by-step explanation:

we know that

The profit is equal to the revenue minus the cost

we have

R(q)=3q-0.002q^{2} ---> the revenue

C(q)=200+2.2q ---> the cost

The profit  P(q) is equal to

P(q)=R(q)-C(q)

substitute the given values

P(q)=(3q-0.002q^{2})-(200+2.2q)

P(q)=3q-0.002q^{2}-200-2.2q

P(q)=-0.002q^{2}+0.8q-200

This is a vertical parabola open downward (because the leading coefficient is negative)

The vertex represent a maximum

The x-coordinate of the vertex represent the value of q that maximize the profit

The y-coordinate of the vertex represent the maximum profit

using a graphing tool

Graph the quadratic equation

The vertex is the point (200,-120)

see the attached figure

therefore

The value of q that maximize the profit is q=200 units

6 0
2 years ago
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Greeley [361]

Answer:

As i understand this:

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0, 1, 2 and 6.

We want to create a two digit number such that:

Not all the cards are used.

6 is one digit of our number.

When we round to the nearest ten, we get 20.

Now, first remember how rounding works.

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if b is less than 5, we round down.

Now in this case we want to have a digit equal 6, if we use this in the units place, then when rounding, we will round up.

Then the other digit can be 1, such that we use the cards:

1 and 6.

then our number is 16:

When rounding, 6 > 5, then we round up to 20.

So this number meets all the conditions.

3 0
1 year ago
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