A dairy needs 364 gallons of milk containing 6% butterfat. How many gallons each of milk containing 7% butterfat and milk containing 3% butterfat must be used to obtain the desired 364 gallons?

Answers

Answer 1

Answer:

Step-by-step explanation:

Let x be gallons of 7%

Let y be gallons of 3%

364 = x + y

y = 364 - x

364(0.06) = x(0.07) + y(0.03)

364(6) = x(7) + y(3)

364(6) = 7x + 3y

364(6) = 7x + 3(364 - x)

364(6 - 3) = 7x - 3x

364(3) = 4x

x = 273

y = 364 - 273 = 91

273 gallons of 7%

91    gallons of 3%


Related Questions

You plant 9 rows of different bulbs in a garden. For each row, you use the rule, “onion, onion, garlic, flower.” How many garlic and flower bulbs do you plant altogether? How many bulbs do you use in all?

Answers

Answer:

18; 36

Step-by-step explanation:

If there's 9 rows of "onion, onion, garlic, flower", then you repeat this cycle 9 times.

onion, onion, garlic, flower(1)

onion, onion, garlic, flower(2)

onion, onion, garlic, flower(3)

onion, onion, garlic, flower(4)

onion, onion, garlic, flower(5)

onion, onion, garlic, flower(6)

onion, onion, garlic, flower(7)

onion, onion, garlic, flower(8)

onion, onion, garlic, flower(9)

Add up the garlic and flower bulbs, which equals 18. Then add up all of the bulbs, which is 36.

-hope it helps

What is 1 + 1 I need to know.

Answers

Answer:

2

Step-by-step explanation:

please mark my answer in brainlist

Answer:

2

Step-by-step explanation:

1+1=2

7 1/4 -3 3/4= 4 1 /4 - 3/4

Answers

Answer:

7/2

Step-by-step explanation:

Can someone help me please

Answers

Answer:

31.25

Step-by-step explanation:

Divide 250 by 8=31.25

1) Solve 3x 8-6. Graph the solution.
A)
B)
C)
D)

Answers

Answer: negative 2 arrow to the left

Step-by-step explanation:

The graph show how many minutes it takes Ziah to run a certain distance in the city What is the constant of proportionality? Write your answer as a decimal

need answer in 5 minutes will give brainliest​

Answers

Answer:  1.5

Explanation:

The constant of proportionality is the same as the slope for equations of the form y = kx.

To find the value of k, we divide the y over x values.

k = y/x = 12/8 = 1.5

or

k = y/x = 6/4 = 1.5

Either way the answer is 1.5

This means Ziah ran at a rate of 1.5 city blocks per minute.

Find the complex zeros of
[tex] f(x) = {x}^{3 } - 13 {x}^{2} + 59x - 87[/tex]

Answers

[tex]f(x) = 0 \\\\\implies x^3-13x^2+59x -87 =0\\\\\implies x^3 -3x^2 -10x^2 +30x +29x - 87=0\\\\\implies x^2(x-3) - 10x(x-3) + 29(x-3) =0\\\\\implies (x-3)(x^2 -10x +29) =0\\\\\implies x - 3 = 0 ~~ \text{or}~~x^2 -10x +29 = 0\\\\\implies x =3~~ \text{ or} ~~ x = \dfrac{-(-10) \pm \sqrt{(-10)^2 -4 \cdot 1 \cdot 29}}{2(1)}\\\\\implies x =3~~ \text{ or} ~~ x = \dfrac{10\pm \sqrt{-16}}{2}\\\\\implies x =3~~ \text{ or} ~~ x = \dfrac{10\pm 4i }{2}\\[/tex]

[tex]\\\implies x =3~~ \text{ or} ~~ x =5 \pm 2i\\\\\text{Hence the complex roots are,}~ 5- 2i ~~ \text{and} ~~5 + 2i[/tex]

How to graph the table

Answers

could you please take the picture at a better angle

whats the answer to 3 1/2 divided by 2 1/4

Answers

Answer:

1.556

Step-by-step explanation:

Divide

3 and 1 over 23

1

2

÷ 2 and 1 over 42

1

4

= 28 over 18

28

18

Step 1 of 2: Divide, sub-step a: Convert mixed number to improper fraction.

Convert mixed number to improper fraction

3 and 1 over 23

1

2

= ( 3 × 2 ) over 2

3 × 2

2

+ 1 over 2

1

2

= ( 6 + 1 ) over 2

6 + 1

2

= 7 over 2

7

2

Step 1 of 2: Divide, sub-step b: Convert mixed number to improper fraction.

Convert mixed number to improper fraction

2 and 1 over 42

1

4

= ( 2 × 4 ) over 4

2 × 4

4

+ 1 over 4

1

4

= ( 8 + 1 ) over 4

8 + 1

4

= 9 over 4

9

4

Step 1 of 2: Divide, sub-step c: Divide.

Divide

7 over 2

7

2

÷ 9 over 4

9

4

= 7 over 2

7

2

× 4 over 9

4

9

= ( 7 × 4 ) over ( 2 × 9 )

7 × 4

2 × 9

= 28 over 18

28

18

To divide fractions, invert the second one (turn it upside-down), then multiply the numerators and denominators.

Step 1 of 2: Divide.Hide

Step 2 of 2: Simplify.

Simplify

28 over 18

28

18

= 14 over 9

14

9

= 1 and 5 over 91

5

9

Step 2 of 2: Simplify, sub-step a: Reduce fraction to lowest terms.

Reduce fraction to lowest terms

28 over 18

28

18

= ( 28 ÷ 2 ) over ( 18 ÷ 2 )

28 ÷ 2

18 ÷ 2

= 14 over 9

14

9

2 is the greatest common divisor of 28 and 18. Reduce by dividing both numerator and denominator by 2.

Step 2 of 2: Simplify, sub-step b: Convert improper fraction to mixed number.

Convert improper fraction to mixed number

14 over 9

14

9

= 1 and 5 over 91

5

9

14 ÷ 9 = 1 remainder 5

Answer:

1.5555555555556

Step-by-step explanation:

when you divide those numbers, thats your answer

Help pls , I’m lost

Answers

i think maybe 2,7 Sorry if i’m wrong

emma is finding 7/2 x 2/5

Answers

Answer:

14/10

OR

7/5

Step-by-step explanation:

(7*2)/(2*5) = 14/10

(14/2) / (10/2) = 7/5

Answer:

Mixed fraction: 1 2/5

Decimal form: 1.4

Hope this helps :)

Help with this polynomial problem.​

Answers

Answer:

i cannt see it

Step-by-step explanation:

find the equation of a circle (3,2) (1,4)

Answers

Answer:

y = −x + 5

Explanation:

Use the slope formula and slope-intercept form y = mx + b to find the equation.

Hope this helped. Have a good one!

What is the total amount and the amount of interest earned on $5,000 at 8% for 20 years?

Answers

Answer:

final balance = 24,634.02

compound interest = 19,634.02

Step-by-step explanation: not my answer

The formula N(x) = x2 -2x + 2016 represents the number N of gang-related homicides across the country x years after 2017. According to this formula, in what year will the number of gang-related homicides be 2051?

Answers

Answer:

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Up

Vertex:

(

1

,

2015

)

Focus:

(

1

,

8061

4

)

Axis of Symmetry:

x

=

1

Directrix:

y

=

8059

4

x

y

1

2019

0

2016

1

2015

2

2016

3

2019

Step-by-step explanation:

The number of gang-related homicides in 2051 will be 3,104.

What is a function?

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

The function is given below.

N(x) = x² -2x + 2016

N represents the number of gang-related homicides across the country x years after 2017.

Then the number of gang-related homicides be 2051 will be given as,

N(2051 - 2017) = (2051 - 2017)² - 2(2051 - 2017) + 2016

N(34) = 34² - 2(34) + 2016

N(34) = 1156 - 68 + 2016

N(34) = 3,104

The quantity of pack-related homicides in 2051 will be 3,104.

More about the function link is given below.

https://brainly.com/question/5245372

#SPJ2

Which of the following best describes
the slope of the line below?
• A. Positive
• B. Negative
• C. Undefined
D. Zero

Answers

Answer:

A. Positive I'm sorry if I got this wrong answer

Answer:

Please add the picture

Step-by-step explanation:

If it point upward right: positive

if it point downward: negative

If it is just a horizontal line : zero

Which expression is equivalent to \sqrt [ 3 ] { 32 x ^ { 8 } y ^ { 10 } } ?​

Answers

Answer:3x⁵

Step-by-step explanation: is equivalent to 3x⁵

which of the following represents an arithmetic sequence with a common difference of -8.5?​

Answers

Answer:

C

Step-by-step explanation:

to have a common difference of -8.5, the sequence has to consistently go down by 8.5.

in the first one, y would go up by 2 every time x goes up by 1, so its not that one.

in the second one, it does go down by 8.5 the first time but the next time it goes down by 4.25, so it's not consistent.

in the third one, each time it goes down by 8.5 so this is the answer.

the fourth one also isn't correct because the graph shows that it is going up, so you know for sure it's not that one.

Sally was standing 30 feet from a tree.The angle of elevation from her eyes(standing 4 feet above the ground) to the top of the tree was 38. How tall is the tree? Round your answer to the nearest foot

Answers

Answer:

27ft-long

Step-by-step explanation:

good luck!!!

You use a garden hose to fill a wading pool. If the water level rises 16 centimeters every 7 minutes
and you record the data point of (21,y), what is the value of y? Use slope to justify your answer.



The rate of change at which the water level rises is ____ centimeters per minute. So solving the equation ____ for y gives a y-value equal to ____

Answers

Rise=16, run=7. Slope is rise/run, and therefore is 16/7. The run is considered to be the x coordinate. Since the x coordinate on the point is 21, we know it has moved 3 exact points away from the origin (21/7=3). We can use this movement of 3 exact points to determine the y coordinate as well. Since the rise (y) is 16 for every exact point on a graph, we know the graph has risen 48 units (16x3=48). So, the point ends up being (21,48). The rate of change is 16cm per 7 minutes, or 2.28cm/minute. The equation is Y=(16/7)X (no y intercept because the graph starts at the origin). The equation gives you the y value of 48 when x is equal to 21.

Hi, I'm going to be starting homeschooling most likely from 7th to 12th Grade mainly due to my Public School failing me miserably and C0vid. I was curious if anyone could recommend me any home-schooling programs? All I'm looking for in a home-school is one that's easy in math or one that potentially has a lot of multiple-choice questions as obviously i will be using this website a lot to help me get through the stuff i don't exactly fully understand. All replies are GREATLY appreciated, Thank you so much.

Answers

Answer:

I use connexus :)

Step-by-step explanation:

Hi this isn’t a home schooling program however khan academy was incredibly helpful for math and science for me! They have videos as well as little multiple choice problems to follow!

Use the distributive property to simplify this expression -2x(3x + x-5)

Answers

Answer:

− 8 x ^2  +  10 x

Step-by-step explanation:

-6x-2x+10x
8x+10x
18x.

3.
Billy and Karen are playing a billy and Karen are playing a game. They toss a coin that can land either heads or tails and a
spinner that can land on any of 8 equal regions. If a coin is tossed and the spinner is spun,

howmany possible outcomes are there?

Answers

The number of possible outcomes for both Billy and Karen = 32 possible outcomes.

A coin has head and tail and thus;

Number of possible outcomes of a coin toss = 2

Now, for the for the spinner, since there are 8 equal regions;

The number of possible outcomes of the spinner = 8

Now, since they are playing a game;

Number of possible outcomes for Billy for one toss of coin and one time of spinning the spinner = 8 × 2 = 16

Similarly;

Number of possible outcomes for Karen for one toss of coin and one time of spinning the spinner = 8 × 2 = 16

Therefore;

Total possible outcomes for both Karen and Billy = 16 + 16 = 32 possible outcomes.

Read more about probability at; https://brainly.com/question/21186493

WILL GIVE BRAINLIEST!!!!

Answers

Answer:

$319

Step-by-step explanation:

Usually, sales tax is proportional to the amount of the sale, so if the sales tax is a factor of 22/16 times the original tax, then the sale amount must be 22/16 times the original item cost:

 (22/16)·$232 = $319

The length of a man's shadow is directly proportional with his height.
At the same time of day, a man who is 1.8 meters tall casts a 25.2
meter shadow and his son casts a 21 meter shadow. What is the
height of the man's son, in meters? If necessary, round to the nearest
tenth.

Answers

Answer:

The man's son height is 1.5m

Step-by-step explanation:

[tex]\frac{x}{21} =\frac{1.8}{25.2}[/tex]

[tex]\frac{21x1.8}{25.2}[/tex]

21x1.8= 37.8

37.8 ÷ 25.2= 1.5

Hope this helps

sorry if i got it wrong

satellite makes 4 revolutions of the earth in one day. How many revolutions would it make in 6 1/2 days?

Answers

4 x 6.5 = 26 revolutions

HELPPP FAST LIKE 4 minutes left

Answers

Answer: A. 40

Step-by-step explanation:

5.4-0.25 I'm so confused

Answers

Answer:

5.15

Step-by-step explanation:

Answer:

5.15

Step-by-step explanation:

5.4 = 5.40

 5.40

- 0.25

= 5.15

because 0.40 - 0.25 = 0.15

A total of 180 students and 35 chaperones are going on a field trip to the Smithsonian Institution in Washington, D. C.

Write the ratio in simplest form.


the ratio of students to people on the trip ​

Answers

Answer:

36 : 43

Step-by-step explanation:

So, we have 180 : 35 + 180 in the students to people on the trip180 : 21536 : 43Therefore, the ratio of students to people is 36 : 43

Kripa’s father is 35 years younger than her grandfather, and 40 years older than her. If the sum of the ages of the three is 160 years, let’s find her grandfather’s age?

Answers

Answer:

90 years

Step-by-step explanation:

if Kripa's age = x

Father's age = x + 40

Grandfather's age = (x + 40) + 35 = x + 75 (father is 35 years younger than grandfather i.e. grandfather is 35 years older than father)

x + x + 40 + x + 75 = 160

=> 3x = 160 - 115

=> x = 45/3 = 15

grandfather's age = x + 75 = 90 years

Answer:

90 years

Step-by-step explanation:

x + x + 40 + x + 75 = 160

=> 3x = 160 - 115

=> x = 45/3 = 15

Grandfather's age = x + 75 = 90 years

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