How many gallons each of 0.5% milk and 3% milk should a dairy farmer combine to
get 7 gallons of 2% milk?

Answers

Answer 1

Answer:

2.8 gallons 0.5% milk

4.2 gallons 3% milk

Step-by-step explanation:

let 'x' = .5% milk

let 'y' = 3% milk

System of Equations:

x + y = 7

.005x + .03y = 7(.02)

I used the substitution method and solved the first equation for y:  y = 7 - x

.005x + .03(7 - x) = .14

.005x + 0.21 - .03x = 0.14

-0.025x + 0.21 = 0.14

-0.025x = -0.07

x = 2.8

7 - 2.8 = 4.2

y = 4.2


Related Questions

Please help me out with this problem

Answers

Answer:

KR

Step-by-step explanation:

First, you can see the right angle and the 30 degrees. Those are the same, so we can flip the triangle on the right to match the one on the left. The line that is similar is KR.

whats 2+2-1+17-9+29-9=



Hows your day

Answers

Answer:

31 is the answer of this question

Answer:

31 and my day was good how was yours?

Step-by-step explanation:

10. A line with a negative slope and a negative
y-intercept is graphed on a coordinate
plane. Which quadrant will the line not pass
through? Justify your response.

Answers

Answer:

The line will not pass through the first quadrant.

Step-by-step explanation:

Since the y-intercept is negative, and the slope is negative, the line will start in the second quadrant, pass through the third quadrant to intercept the y-axis, then pass through the fourth quadrant. It will never touch the first quadrant.

Plz help me plz
Also phone reval XD

Answers

Answer:

5.50

Step-by-step explanation:

5 = whole number

.

5 = Tenths

0 = Hundreths

5.50

Hope this Helps!
It would be 5.50 5 is the tenths and zero is the hundredth

I need help with this question

Answers

Answer:

34

Step-by-step explanation:

3rd square number is 9

5th square number is 25

9+25= 34

Plz help!!

What is the value of x when f(x)=20? What does this mean in context?

Answers

Answer:

It means that x = 20

Step-by-step explanation:

10. A bag contains 4 red, 7 blue, 8 green, and 5 white marbles. What is the theoretical
probability that a randomly selected marble is green?
O
a 1
3
Ob.
2
c. 1
6

Answers

Answer:

C. 1

Step-by-step explanation:

C. 1

what is 4 and 1/2 in decimal form

Answers

Answer:

 4.50

Step-by-step explanation:

4 = Whole number. 1 = Numerator. 2 = Denominator. To get 4 1/2 in decimal form, we basically convert the mixed number to a fraction and then we divide the numerator of the fraction by the denominator of the fraction.

The decimal form of  4 and 1/2  is 4.5

Decimal

Decimal is a fraction written in a unique form. The dot notation is used to represent the fraction form.

Therefore, 4 and 1/2 in decimal form is represented as follows;

Mixed fraction = 4  1 / 2

Improper fraction = 9 / 2

decimal form of  1 / 2 = 0.5

Therefore, 4 1 / 2 = 4.5

learn more on decimal here: https://brainly.com/question/236928

Solve for x in the equation x2 +11x+121/4=125/4

Answers

Answer:

x= −11 2 + 5 2 √5 or x= −11 2 + −5 2 5

Step-by-step explanation:

Answer:

D on edg

Step-by-step explanation:


What is the measurement of ABC?

Answers

Answer:

118°

Step-by-step explanation:

because 28 + 90 = 118

Hey guys I need your help on this!!

Answers

Answer:

Domain: (-∞, ∞) or All Real Numbers

Range: (0, ∞)

Asymptote: y = 0

As x ⇒ -∞, f(x) ⇒ 0

As x ⇒ ∞, f(x) ⇒

Step-by-step explanation:

The domain is talking about the x values, so where is x defined on this graph? That would be from -∞ to ∞, since the graph goes infinitely in both directions.

The range is from 0 to ∞. This where all values of y are defined.

An asymptote is where the graph cannot cross a certain point/invisible line. A y = 0, this is the case because it is infinitely approaching zero, without actually crossing. At first, I thought that x = 2 would also be an asymptote, but it is not, since it is at more of an angle, and if you graphed it further, you could see that it passes through 2.

The last two questions are somewhat easy. It is basically combining the domain and range. However, I like to label the graph the picture attached to help even more.

As x ⇒ -∞, f(x) ⇒ 0

As x ⇒ ∞, f(x) ⇒ ∞

Which expression is equivalent to the given expression? (2w-2)^3(8w6)

Answers

Answer:

Answer A=48

Step-by-step explanation:

Took the test got it right.

The expression (2w - 2)³ × (8w⁶) is equivalent to :

64w⁹ - 64w⁶ - 192w⁸ + 192w⁷.

What is expression?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

Given is the expression as -

(2w - 2)³ × (8w⁶)

The given expression is -

(2w - 2)³ × (8w⁶)

{2(w - 2)}³ × (8w⁶)

8(w - 1)³ × (8w⁶)

(a+b)³ = a³ - 3a²b + 3ab² - b³

So, on expanding, we will get -

8(w³ - 1 - 3w² + 3w) x (8w⁶)

(8w³ - 8 - 24w² + 24w )(8w⁶)

64w⁹ - 64w⁶ - 192w⁸ + 192w⁷

Therefore, the expression (2w - 2)³ × (8w⁶) is equivalent to :

64w⁹ - 64w⁶ - 192w⁸ + 192w⁷.

To solve more questions on expressions, visit the link below -

brainly.com/question/1041084

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Expand using the distributive property 10(-4x + 2)​

Answers

Answer:

-40x+20

Step-by-step explanation:

10 times -4x=-40x

10x2=20

Answer:

-40x+20

10*-4x+10*2

how can you represent all of the solutions to systems of inequalities?​

Answers

Answer:A closed, or shaded, circle is used to represent the inequalities greater than or equal to (≥) or less than or equal to (≤) . The point is part of the solution. An open circle is used for greater than (>) or less than (<). The point is not part of the solution. Solving" systems of linear inequalities means "graphing each individual inequality, and then finding the overlaps of the various solutions". So I graph each inequality, and then find the overlapping portions of the solution regions.Step 1: Line up the equations so that the variables are lined up vertically. Step 2: Choose the easiest variable to eliminate and multiply both equations by different numbers so that the coefficients of that variable are the same. Step 3: Subtract the two equations. Step 4: Solve the one variable system.

Step-by-step explanation:

hope this helps have a great night ❤️❤️❤️

I really need help on this problem its on khan academy 27÷(−9)=?

Answers

Answer: -3

Step-by-step explanation:

[tex]\frac{27}{-9} = -3 \\[/tex]

We can check our work my multiplying -3 by -9 and see that it equals 27

[tex]-9*[\frac{27}{-9} = -3 ]* -9\\27 = 27[/tex]

Pls answer quick I will give brainliest

Answers

Answer:

EBC and CBF are supplementary.

EBD=66

Step-by-step explanation:

Since vertical angles are congruent, ABE=CBF

ABE=40-x

40-x + 6x-30=90

5x+10=90

5x=80

x=16

16(6)-30=66

A family of 10 that all leave the house at the same time each morning has two bathrooms. They must share for everyone to be ready. Time is allotted to each family based on age. Is this apportionment or not apportionment?

Answers

Answer:

Not apportionment

Step-by-step explanation:

Apportionment can be described as a way of sharing out or dividing out in the best fair method.

If a family of 10 leave the house at the same time and have to share just two bathrooms, the time allocation should not be based on age rather should be based on how early each person wakes up in the morning.

A car is parked 80 feet from the base of a 120-foot building. What is the angle of depression from the top of the building to the car? Round your answer to the nearest degree.


A 48° degrees


B 34° degrees


C 42° degrees


D 56° degrees

Answers

The angle of depression should be the inverse tangent of 80/120, which is about 34 degrees.

Pls help I rlly appreciate

Answers

Answer:

38.9%

Step-by-step explanation:

a=28

b=77

c=33

d=56

e=72

a/e=.388888888

Sam needs 7 1/2 cups of orange juice to make punch for a group of her friends. She only has 5 1/3 cups. Write and solve an equation to represent how many more cups of orange juice Sam needs

Answers

Answer:

Equation is [tex]x+\frac{16}{3}=\frac{15}{2}[/tex] where [tex]x[/tex] denotes number of cups of orange juice needed by Sam.

[tex]x=\frac{13}{6}[/tex]

Step-by-step explanation:

Let [tex]x[/tex] denotes number of cups of orange juice needed by Sam.

Number of cups needed to make punch [tex]=7\frac{1}{2} =\frac{15}{2}[/tex]

Number of cups with Sam [tex]=5\frac{1}{3}=\frac{16}{3}[/tex]

Therefore,

[tex]x+\frac{16}{3}=\frac{15}{2}\\\\x= \frac{15}{2}-\frac{16}{3}\\\\x=\frac{45-32}{6}\\\\x=\frac{13}{6}[/tex]

The previous balance on Hector Todd's savings account is $618.21. He has $4.31 in
interest, $466.26 in deposits, and $10.10 in withdrawals. What is his new balance?
$1,068.78
$1,078.68
O $1,178.68
$1,078.90

Answers

Answer:

$1,078.68

Step-by-step explanation:

Here, we want to calculate the balance

That would be adding interest plus deposit plus balance minus withdrawals

That would be;

618.21 + 466.26 + 4.31 - 10.10 = $1,078.68

A tram has an initial velocity of 300m/minute ◦ It travels a distance of 0.5km in 20 seconds
◦ What is the acceleration of the tram in m/s2?
If you could please help me, it would be greatly appreciated?

Answers

Answer:

Step-by-step explanation:

[tex]d=vt-\frac{at^2}{2} \\ \\ a=\frac{2(d-vt)}{t^2} \\ \\ a=\frac{2(500-300(20)}{20^2} \\ \\ a=-27.5 \frac{m}{s^2}[/tex]

The acceleration of the tram is 1 m/s^2.

To find the acceleration of the tram, we can use the following equation:

acceleration (a) = (change in velocity) / (time taken)

First, let's convert the initial velocity to m/s:

Initial velocity = 300 m/minute

To convert to m/s, we need to divide by 60 (since there are 60 seconds in a minute):

Initial velocity = 300 m/minute ÷ 60 seconds/minute = 5 m/s

Now, let's find the final velocity. The tram travels a distance of 0.5 km in 20 seconds.

Distance traveled = 0.5 km = 500 m (since 1 km = 1000 m)

Time taken = 20 seconds

Now, we can find the final velocity (v) using the formula:

v = (change in distance) / (time taken)

v = 500 m / 20 seconds = 25 m/s

Next, we can find the change in velocity:

change in velocity = final velocity - initial velocity

change in velocity = 25 m/s - 5 m/s = 20 m/s

Finally, we can calculate the acceleration:

acceleration (a) = (change in velocity) / (time taken)

acceleration (a) = 20 m/s / 20 seconds = 1 m/s^2

So, the acceleration of the tram is 1 m/s^2.

To know more about acceleration:

https://brainly.com/question/31289401

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A trash bin has a capacity of 50 gallons. What percentage of its capacity is 5 gallons?

Answers

Answer:

10%

Step-by-step explanation:

5/50 = 10/100

10/100 = 10%

Answer:

5 gallons is 10% capacity.

Step-by-step explanation:

5 gallons accounts for 10% of a container which holds 50 gallons.

[tex](\frac{1}{10} )*50=5[/tex]

In a cookie jar,
1/4
of the cookies are chocolate chip and
1/3
of the rest are peanut butter. What fraction of all the cookies is peanut butter?

Answers

Answer:

2/4

Step-by-step explanation:

i..dk i think it is 2/4

evaluate each expression if m = 13 and n = 8

1.) 2m - n
2.) 3m + 2n
3.) 12 + 3 x m - n
4.)

Answers

1. 2(13)-8
26-8
=18
2. 3(13)+2(8)
39+16
=55
3. 12+3x13-8
12+39-8
51-8
=43

4 is blank

Hope this helps

Answer:

1.) 18

2.) 55

3.)43

Step-by-step explanation:

Calculate the stress on the snow when the snowboarder stands on the board.
The snowboarder and snowboard weigh 600 N the snowboard is 140 cm long and 20 cm wide

Answers

Answer:

u uninstalled ♭ that ↓ t sugar rx

Step-by-step explanation:

utajtt kytisau

Who is a fan of baby Yoda/Grogu lol sorry about the spoiler alert!

Answers

Answer:

It's not really a spoiler but I like baby yoda

Answer:

I think Baby Yoda is adorable u.u

Find the length of side AB.
Give your answer to 1 decimal place.
CB = 12 cm
AB = 62°

PLEASE HELP!! ​

Answers

Answer:

AB ≈ 5.6 cm

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos62° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{AB}{BC}[/tex] = [tex]\frac{AB}{12}[/tex] ( multiply both sides by 12 )

12 × cos62° = AB , then

AB ≈ 5.6 cm ( to 1 dec. place )

Carlos has read 45% of his book. If his book has 480 pages, how many pages did he read? *

Answers

216. Simply multiply .45 which is the percentage by 480 which represents the pages to get 216. Please mark me Brainliest

Find the volume of this cylinder.
Give your answer to 1 decimal place.
11 cm
10
14 cm

Answers

Cylinder's volume = 1330.5 cm^3

Step-by-step explanation:

radius, r = diameter, d / 2

= 11/2

= 5.5 cm

Volume = π r^2 h

= π × 5.5^2 × 14

= 423.5π

= 1330.5 cm^3

Answer: volume is 1330.5cm3 (1dp)
Explanation:
V=pi x r2 x h
V=pi x 5.5squared x 14
V=1330.46
V= 1330.5cm3
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