PLEASE help what is the slope of the line shown below

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:

800 pints of 5% butterfat and 200 pints 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 $y.$

So, the total pints of milk:

$x+y=1000$

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

As, given:

1,000 pints of milk that contains 8% butterfat.

The mixture of milk containing 5% butterfat, and cream containing 20% butterfat.

According to question:

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

$5x+20y=8000$

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

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

$5000-5y+20y=8000$

$5000+15y=8000$

Subtracting both sides by 5000 we get:

$15y=3000$

Dividing both sides by 15 we get:

$y=200.$

The pints of 20% butterfat = 200 pints.

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

$x=1000-y$

$x=1000-200$

$x=800.$

The pints of 5% butterfat = 800 pints.

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

8 0

2 years ago

What equation describes the circle that is centered at (8, 3) and has a radius of 9

Sloan [31]

Answer:

Step-by-step explanation:

The general equation of a circle is expressed as;

(x-a)²+(y-b)² = r² where;

(a, b) is the centre of the circle

r is the radius

Given the centre (8, 3) and the radius of 9, the equation of the circle will be;

(x-a)²+(y-b)² = r²

(x-8)²+(y-3)² = 9²

(x-8)²+(y-3)² = 81

hence the required equation is (x-8)²+(y-3)² = 81

5 0

2 years ago

The level of a lake was 8 inches below normal. It decrease 1 1/4 inches in June and 2 3/8 inches more in July. What was the new

zloy xaker [14]

Answer:

Step-by-step explanation:

1

the initial level is below normal so it is represented by a negative number. the level continued to decrease in June and July so those changes are also represented by negative numbers. find the sum of these values to find what the new level was with respect to the normal level

2

write the mixed numbers as improper fractions

3

get common denominator

4

add the numerators since all the numbers are negative and have a common denominator. write the improper fraction as a mixed number

3 0

2 years ago

Write the trig ratios based on E

lidiya [134]

Answer:

\

Step-by-step explanation:

8 0

2 years ago

Of 10 test scores, eight are less than or equal to 82. What is the percentile rank of a test score of 82?

sdas [7]

Answer:

80%

Step-by-step explanation:

Percentile rank = (number of scores lower or equal to 82 / total number of scores) * 100%

Percentile = (8 / 10) * 100%

= 0.8 * 100%

= 80%

5 0

3 years ago