All categories

2 years ago

Find how many quarts of 6% butterfat milk and 1% butterfat milk should be mixed to yield 75 quarts of 3% butterfat milk.

Mathematics

1 answer:

Strike441 [17]2 years ago

8 0

Answer:

30 gallons of 6% milk, and 45 gallons of 1% milk.

x=quarts of 6% butterfat

First, write an equation.

0.06x+0.01(75-x)=0.03*75

Multiply both sides by 100.

0.06x*100+0.01*100(75-x)=100*0.03*75

Simplify

6x+75-x=3*75

6x+75-x=225

Solve

5x=225-75=150

5x=150

x=30

75-30=45

So, we need 30 gallons of 6% milk, and 45 gallons of 1% milk.

Step-by-step explanation:

You might be interested in

1,3,5,7,9 what is the next term

Law Incorporation [45]

Answer:

11. This is counting only odd numbers, or counting by two starting with one.

5 0

3 years ago

Read 2 more answers

the bases of a frustum of a cone have radii 1 1/3 and 2. The height of the frustum is 2. What were the dimension of the original

Sedbober [7]

One of the major advantage of the two-condition experiment has to do with interpreting the results of the study. Correct scientific methodology does not often allow an investigator to use previously acquired population data when conducting an experiment. For example, in the illustrative problem involving early speaking in children, we used a population mean value of 13.0 months. How do we really know the mean is 13.0 months? Suppose the figures were collected 3 to 5 years before performing the experiment. How do we know that infants haven’t changed over those years? And what about the conditions under which the population data were collected? Were they the same as in the experiment? Isn’t it possible that the people collecting the population data were not as motivated as the experimenter and, hence, were not as careful in collecting the data? Just how were the data collected? By being on hand at the moment that the child spoke the first word? Quite unlikely. The data probably were collected by asking parents when their children first spoke. How accurate, then, is the population mean?

7 0

2 years ago

Read 2 more answers

What is the product in simplest form? 3/5 x 2/3 = ?

boyakko [2]

Answer:

2/5 or 0.4

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

The sum of three numbers is 8. The third is 9

Ierofanga [76]

Answer:

→ First value is 1

→ Second value is 2

→ Third value is 5

Step-by-step explanation:

• let numbers be x, y and z

${ \tt{z = 8y - 9 - - - (eqn \: 1)}} \\ \\ { \tt{10x = 8y - 7 - - - (eqn \: 2)}} \\ \\ { \tt{x + y + z = 8 - - - (eqn \: 3)}}$

• from eqn 2, make x the subject:

${ \tt{x = \frac{8y - 7}{10} }} \\$

• substitute all variables in eqn 3:

${ \tt{ \frac{8y - 7}{10} + y + 8y - 9 = 8}} \\ \\ { \tt{8y - 7 + 10y + 80y - 90 = 80}} \\ \\ { \tt{98y = 177}} \\ \\ { \boxed{ \tt{ \: y = 1.8}}}$

• find z

${ \tt{z = 8y - 9}} \\ \\ { \tt{z = 8(1.8) - 9}} \\ \\ { \tt{z = 14.4 - 9}} \\ \\ { \boxed{ \tt{ \: z = 5.4 \: }}}$

• find x:

${ \tt{x = \frac{8(1.8) - 7}{10} }} \\ \\ { \tt{x = \frac{7.4}{10} }} \\ \\ { \boxed{ \tt{ \: x = 0.74 \: }}}$

Rounding to nearest value:

${ \boxed{ \rm{x = 1}}} \\ { \boxed{ \rm{y =2 }}} \\ { \boxed{ \rm{z = 5}}}$

7 0

2 years ago

Answer 37, 38, and 39 and make sure to answer with either the letter or with one of the answers shown! SHOW YOUR WORK PLEASE!!

ollegr [7]

Answer:

I didn't even realize until I had written all of the answers down that they are all C.

37 = C. 15%

38 = C. 2 $x^{3}$

39 = C. 48

Step-by-step explanation:

37: I used process of elimination to figure out which percentage of decrease it was by just multiplying 42 by each percentage until I got 6.3 which is what you need to subtract from 42 to get 35.7, so the answer is C, or 15%.

38: A coefficient is the number that is being multiplied by the variable, which in this case is "x". So whatever answer involves "2x" is the correct answer. Therefore the answer is C, or 2 $x^{3}$ .

39: You have to add the amount of money Henry paid for painting supplies and how much profit he mad to figure out how much money he really made. 400 + 560 = 960 and he charges $20 for each painting so you need to divide 960/20 to get your answer, which is C, or 48.

8 0

2 years ago