Melillo Middle School prepared 30 cups of trail mix for a carnival. The ratio of nuts to dried fruit in the trail mix was 3 to 2. If the teachers ate 6 cups of nuts out of the mix, how many cups of dried fruit would need to be taken out in order to keep the original ratio?

The domain of the function represented by the given graph is option B: 0 ≤ x ≤ 4.

A parabola is a U-shaped curve, and in this case, it opens upwards since the coefficient of the squared term is positive. As the parabola is symmetric, it will extend indefinitely in both directions. Therefore, the parabola includes all real numbers.

However, the domain of the function represented by this graph is limited. The function is defined for all x-values along the parabola. Still, it may not be defined for x-values that lie beyond the points where the parabola intersects the x-axis.

Since the points of intersection are (0, 0) and (4, 0), we can conclude that the function is only defined for x-values between 0 and 4, inclusive. This is because any x-value less than 0 or greater than 4 would lie outside the range of the parabola, and the function would not be defined at those points.

So, the correct answer is option (b).

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Answer:

Your answer is C...............

The angle of the page when the fox's hand waves to the right is 150°

What is an angle?

"It is formed when two straight lines or rays meet at a common endpoint."

For given question,

When the page is open to an angle of ​​ 105 degree, the fox's hand is waving to the left.

When the page is opened 45 degree​ more, the fox's hand waves to the right.

We need to find he angle of the page when the fox's hand waves to the right.

The required angle would be,

105 + 45 = 150 degree

Therefore, the angle of the page when the fox's hand waves to the right is 150°

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Answer:

150

Step-by-step explanation:

105 + 45 = 150

Some of the fractions that are equivalent to 4/7 are 8/14, 12/21, 16/28, 20/35 e.t.c

What is equivalent expression?

Equivalentexpressions are expressions that work the same even though they look different.

If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value for the variable.

For example , 5 × 4 = 20 and 2 × 10 = 20 , so the two expressions are equivalent and they have thesame value

To find the equivalent of 4/7, we can multiply through by a factor of 2, 3 , 4 ,5 e.t.c

Therefore 4/7 = 8/14 = 12/21 = 16/28 = 20/35

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8/14 12/21 16/28 these are some of the fractions that came to mind

The formula a2xb2=c2 will help with this problem.

The longest sides, so the longer one is c2. the next is either a2 or b2. 2, in this case, is an exponent, so we multiply the number by itself.

So, a2+(16x16)=(22x22)

16 times 16 is 256. 22 times 22 is 484.

a2+256=484. 484-256 will leave you a2. Then, 484-256=228. Since a2 is still squared, you need to find the square root of 228. (which is about 15.1)

So of your answer choices, if it is among them, choose 15.

Hope I helped!!!!