2 7/8 + 6 1/6 =?plzz i need help!

A dairy wishes to mix together 1,000 pints of milk that contains 8% butterfat.If the mixture is to be made from milk containing

3241004551 [841]

Answer:

<u>800 pints</u> of 5% butterfat and <u>200 pints</u> of 20% butterfat is needed.

Step-by-step explanation:

Given:

A dairy wishes to mix together 1,000 pints of milk that contains 8% butterfat.

If the mixture is to be made from milk containing 5% butterfat, and cream

containing 20% butterfat.

Now, to find the pints of each is needed.

Let the pints of 5% butterfat be $x.$

And the pints of 20% butterfat be $y.$

<em>So, the total pints of milk:</em>

$x+y=1000$

$x=1000-y$ ......(1)

<em>As, given:</em>

<em>1,000 pints of milk that contains 8% butterfat.</em>

<em>The mixture of milk containing 5% butterfat, and cream containing 20% butterfat.</em>

According to question:

$5(x)+20(y)=8(1000)$

$5x+20y=8000$

Substituting the value of $x$ from equation (1):

$5(1000-y)+20y=8000$

$5000-5y+20y=8000$

$5000+15y=8000$

<em>Subtracting both sides by 5000 we get:</em>

$15y=3000$

<em>Dividing both sides by 15 we get:</em>

$y=200.$

<em>The pints of 20% butterfat = 200 pints.</em>

Now, to get the pints of 5% butterfat we put the value of $y$ in equation (1):

$x=1000-y$

$x=1000-200$

$x=800.$

<em>The pints of 5% butterfat = 800 pints.</em>

Therefore, 800 pints of 5% butterfat and 200 pints of 20% butterfat is needed.

8 0

2 years ago

Twenty-five students were asked to rate—on a scale of 0 to 10—how important it is to reduce pollution. A rating of 0 means “not

jeka94

Considering the dot plot, we have that only 7 of the 25 measures are ratings of at most 6, that is, 6 is less than both the mean and the median of the distribution, hence it is not a good description of the center of this data set.

A dot plot is a graph shows the number of times each measure appears in the data-set.

From the plot given in this exercise, it is found that only 7 of the 25 measures are ratings of at most 6, that is, 6 is less than both the mean and the median of the distribution, hence it is not a good description of the center of this data set.

More can be learned about dot plots at brainly.com/question/24912483

7 0

2 years ago

Find the area of the figure

MakcuM [25]

9514 1404 393

Answer:

24.885 in²

Step-by-step explanation:

Use the formula for the area of a triangle.

A = 1/2bh . . . . . . . where b is the base length and h is the height perpendicular to the base

A = 1/2(7.9 in)(6.3 in) = 24.885 in²

_____

<em>Additional comment</em>

The given side lengths cannot form a triangle, as the side shown as 14.7 is too long for the ends of the other segments to connect to. The attachment shows that side should be 11.97 in.

5 0

2 years ago

The graph shown below expresses a radical function that can be written in the form f(x)= a(x + k)^1/n +C. What does the graph te

MAXImum [283]

Answer:

C. <em>c</em> is less than zero

Step-by-step explanation:

The parent radical function y=x^(1/n) has its point of inflection at the origin. The graph shows that point of inflection has been translated left and down.

<h3>Function transformation</h3>

The transformation of the parent function y=x^(1/n) into the function ...

f(x) = a(x +k)^(1/n) +c

represents the following transformations:

vertical scaling by a factor of 'a'
left shift by k units
up shift by c units

<h3>Application</h3>

The location of the inflection point at (-3, -4) indicates it has been shifted left 3 units, and down 4 units. In the transformed function equation, this means ...

k = 3
c = -4

The graph says the value of c is less than zero.

__

<em>Additional comment</em>

Apparently, the value of 'a' is 2, and the value of n is 3. The equation of the graph seems to be ...

f(x) = 2(x +3)^(1/3) -4

8 0

1 year ago

Simplify the expression

lions [1.4K]

The answer is 2/71

:)

5 0

3 years ago

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