Suppose you have a pint of grape juice and a pint of milk. You pour 1 tablespoon of the grape juice into the milk and mix it up. Then you pour 1 tablespoon of this mixture back into the grape juice. Which liquid is more contaminated?

The slope of a line perpendicular to the original line is then the negative reciprocal of 4/3, or -3/4.

Reciprocity is a reciprocal exchange of goods, services, or privileges between two parties. It is often used in business transactions and in politics to create beneficial relationships and agreements between parties.

The slope of a line perpendicular to 4x-3y=12 is calculated by finding the negative reciprocal of the slope of the original line. To find the slope of the original line, we need to rewrite the equation in the form y = mx + b, where m is the slope.
In this case, we can rewrite the equation as:
3y = 4x - 12
Yielding the slope of the original line as m = 4/3.
The slope of a line perpendicular to the original line is then the negative reciprocal of 4/3, or -3/4.

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The ultimate grade for the course is determined by the average of all completed assignments. Answer is 92.

You must first add up all of your grades if your instructor or professor employs a total points system.Afterward, tally the number of points available for each of those grades.

Your class grade can be calculated by dividing your earned points by the total points available.Follow these steps if you want to accomplish it by hand:The letter grade's value is calculated by dividing it by the course's total number of credits.Do this for each class, then add them all up.

Subtract the total by the number of credits.

75% of the test score would be 76 x 0.75 = 57

80-57 = 23

They need 23 more points to get an 80

The 23 is 25% of the final exam grade so they would need to score a 23 x 4 = 92 on the final exam

answer: 92

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Answer:

36 -12 = 24

Step-by-step explanation:

24 / 12 × 100

= 2 × 100

= 200 %

The equation of the line in slope intercept form is y = - 1 / 2 x + 4.

The equation of a line can be represented in slope intercept form as follows:

y = mx + b

where

Therefore, the equation of the line passes through the points (2, 3) and the y-intercept is 4.

Hence,

y = mx + 4

let's find slope using (2, 3)

3 = 2m + 4

3 - 4 = 2m

2m = -1

divide both sides by 2

m = - 1 / 2

Therefore, the equation of the line is y = - 1 / 2 x + 4.

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Answer:

the two hundred degrees angle is the reflex angle.

Step-by-step explanation:

reflex angle is and angle that is more than 180 degrees and less than 360 degrees.

the 200 degree angle is above 180 and lower than 360 degrees. The 100 is lower than 180 so I can't be it

Therefore , the solution of the given problem of circumference of the given figure is 15.7 ft.

The circumference of a circle or other curved geometric object refers to length. It is the boundary across any two-dimensional circular surface measured linearly in one dimension.

Here,

in the given question

first find the length of the diameter

in the figure

Perpendicular = 3ft

Base = 4ft

using Pythagoras rule

(hypotenuse)

(base)2 + (perpendicular)2

(hypotenuse)2=42+32

(hypotenuse)2=16+9

(hypotenuse)2=25

hypotenuse = √25

hypotenuse = 5

in the given figure hypotenuse diameter of the circle

radius(r) =

diameter

== 2.5

circumference of the circle is given by

circumference = 2πr

circumference = 2*3.14 * 2.5

circumference = 15.7ft

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Answer: False, False, True, False, True

Step-by-step explanation: JUST DO IT! MAKE YOUR DREAMS COME TRUE!

Answer:

18. y = -2x + 6

19. y = -1/2x -1/2

Step-by-step explanation:

y = mx + b

18. The point (0,6) 0 is the x-intercept and 6 is the y-intercept

For now, all we care about is 6

-2 is the slope which means the line will go down 2 and right 1

m = slope

b = y-intercept

y = -2x + 6

19.

-1/2 is the slope which means the line will go down 1 and right 2

For the y-intersept, I just played with it on a graphing calculater until I got it right.

m = slope

b = y-intercept

y = -1/2x -1/2

Answer:

----------------------------

Given expression:

Simplify it in steps:

Answer:

[tex] \sf \: - g - 6[/tex]

Step-by-step explanation:

The expression is,

→ -2 + 2g - (3g + 4)

Let's simplify the expression,

→ -2 + 2g - (3g + 4)

→ -2 + 2g - 3g - 4

→ (-3g + 2g) + (-2 - 4)

→ (-g) + (-6)

→ -g - 6

Hence, the answer is -g - 6.

So on solving the provided question, we can say that by equation , y = 5/8x; it makes a vertical line.

A mathematical equation is a formula that joins two statements and uses the equal symbol (=) to indicate equality. A mathematical statement that establishes the equality of two mathematical expressions is known as an equation in algebra. For instance, in the equation 3x + 5 = 14, the equal sign places the variables 3x + 5 and 14 apart. The relationship between the two sentences on either side of a letter is described by a mathematical formula. Often, there is only one variable, which also serves as the symbol. for instance, 2x – 4 = 2.

Let y be the number of gallons of fertilizer produced by combining x tsp of fertilizer powder.

5 litres of liquid fertilizer are created by combining 8 tsp of fertilizer powder.

Therefore, the amount of liters of liquid fertilizer produced by combining 1 tsp of fertilizer powder = 5/8

gallons of LF by mixing x tsp of powder fertiliser  = 5/8x

the required equation is => y = 5/8x

so by graph it makes a vertical line.

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Answer: The fourth data set (bottom right corner).

Step-by-step explanation: In the graph shown the dots represent a value in the data set. In the graph, there are 4 data sets above 2 meaning that there should be 4 values of 2 in the data set. A quick scan will show that the only logical answer is the fourth set since this is the only set with 4 2s. You can repeat this process for the rest of the dots to check your work.

Step-by-step explanation:

[tex]7x^2-10=-17\\7x^2=-7\\x^2=-1\\x=\sqrt{-1}\\x=\sqrt{i^2}\\\boxed{x=i,-i}[/tex]

The measure of angle a is given as 94 degrees.

In order to get the value of a, we have to use the formula for the sum of angles in a straight line.

The sum of angles that are in a straight line is given as 180

this is summed up and equated to 180

From the figure,

m∠1 = 86 degrees

m∠2 = a

we have to sum this up and equate the value to 180 degrees

86 degrees + a = 180 degrees

a = 180 - 86

a = 94 degrees

Therefore the measure of the angle a is given as 94 degrees

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Both the car and the train are traveling at the same speed because they both cover the same distance in different amounts of time.

In this scenario,

the car is traveling at a speed of 0.6 miles per minute

and the train is traveling at a speed of 0.75 miles per minute.

Therefore, both are traveling at the same speed of 6 miles in 10 minutes or 6 miles in 8 minutes.

With this in mind, it can be seen that they both travel at the same speed and none is faster.

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All the correct expression are;

⇒ 2x + 6 = 2

⇒ 2(x - 4) = 6x

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Now, We have to check all the expression which has x = - 2 as a solution.

So, For first expression;

⇒ 2x + 6 = 2

Put x = -2;

LHS = 2×- 2 + 6

       = - 4 + 6

       = 2

       = RHS

Hence, This expression has a solution x = - 2

For second expression;

⇒ 2(x - 4) = 6x

Put x = -2;

LHS = 2×(- 2 - 4)

       = 2 × - 6

       = -12

RHS = 6x

       = 6×-2

       = - 12

Hence, This expression has a solution x = - 2

For third expression;

⇒ 3x + 1/2 = 1/4x + 6

Put x = -2;

LHS = 3×-2 + 1/2

       = - 6 + 1/2

       = - 11/2

RHS = 1/4x + 6

       = 1/4 × - 2 + 6

       = - 1/2 + 6

       = 11/2

Hence, This expression does not a solution x = - 2.

So, For fourth expression;

⇒ 7 - 3x = 5x + 11

Put x = -2;

LHS = 7 - 3×-2

       =  7 + 6

       = 13

RHS = 5x + 11

       = 5×-2 + 11

       = - 10 + 11

       = 1

Hence, This expression does not a solution x = - 2.

So, For fifth expression;

⇒ 3x + 15 = 2x + 9

Put x = -2;

LHS = 3×- 2 + 15

       = - 6 + 15

       = 9

RHS = 2x + 9

       = 2×-2 + 9

       = - 4 + 9

       = 5

Hence, This expression does not a solution x = - 2.

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Answer:

Step-by-step explanation:

45 peaches + 55 peaches + 60 peaches = 160 peaches total

17 pounds + 21 pounds + 25 pounds = 63 pounds total

63 pounds / 160 peaches = about 0.39 pounds per peach

Answer:

angle SRQ or angle QRS

Step-by-step explanation:

R is the middle angle, so it will always be in between the other two variables :)

On solving the provided question we can say that from the provided quadrilateral ABCD, ∠ BAD and ∠BCD are supplementary, ∠ABC and ∠ADC are supplementary.

A quadrilateral is a four-sided polygon in geometry that has four edges and four corners. The word is a derivative of the Latin words quadri and latus (meaning "side"). Having four sides, four vertices, and four corners, a rectangle is a two-dimensional form. Concave and convex come in primarily two varieties. Additionally, there are several subclasses of convex quadrilaterals, including trapezoids, parallelograms, rectangles, rhombuses, and squares. Four straight sides make up a rectangle, which is a two-dimensional form. There are several different types of quadrilaterals, including parallelograms, trapezoids, rectangles, kites, squares, and rhombuses.

from the provided quadrilateral ABCD,

∠ BAD and ∠BCD are supplementary,

∠ABC and ∠ADC are supplementary.

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Answer:

25

Step-by-step explanation:

25 because i used a calculator

The 10th term of the arithmetic sequence is T₁₀ = a + 9d. a is the first term and d is the common ratio.

What is a sequence?

A sequence in mathematics is an enumerated collection of items in which repetitions are permitted and order is important. It has members, just like a set. The length of the sequence is defined as the number of items.

An arithmetic sequence follows a pattern.

Arithmetic progression or arithmetic sequence is a number sequence in which the difference between subsequent terms is constant.

The formula for nth term of the sequence is

Tn = a + (n - 1)d

Where a is the first term, d is the common ratio, and n is the number of terms.

Putting n = 10 in Tn = a + (n - 1)d

T₁₀ = a + (10- 1)d

T₁₀ = a + 9d

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Answer:

[tex] \sqrt{1693} [/tex]

The weight of the rice bags should be less than the weight of 48.35 ounces. Inequality can be written as x < 48.35 ounces.

When two expressions are connected by a sign like "not equal to," "greater than," or "less than," it is said to be inequitable. The inequality shows the greater than and less than relationship between variables and the numbers.

That One machine fills each bag with approximately 48 ounces of rice. After the bags are filled; another machine weighs each bag. A bag is discarded if the weight differs by more than 0.35.

The inequality for the bags can be written as

x < 48.35 Ounces

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600 mL of solution B and 3(600) = 1800 mL of solution A are used by Chau.

Let x = the amount of Solution B used

3x = the amount of Solution A used

Knowing that 13% = 0.13 and 18% = 0.18, we can create the equation shown below:

3x(0.13) + x(0.18) = 342 (Remember that the concentration of pure alcohol is 100%, or 1.00).

0.39x + 0.18x = 342

0.57x = 342

x = 600 mL

600 mL of solution B and 3(600) = 1800 mL of solution A are used by Elsa.

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Answer:

2x+12

Step-by-step explanation:

We can re-write (2x+8)+4 using the associative property of addition. The associative property states that you can move around the parenthesis in an addition problem.

We can write (2x+8)+4 as 2x+(8+4).

2x+(8+4) = 2x+12.

(x,y) --> (x, y-2)

=======================================================

Explanation:

Choice A can be ruled out because of the jump from x to 2x, and from y to 2y. This is a dilation with a scale factor 2. Meaning the preimage enlarges to a bigger image. Specifically the larger image has side lengths twice as long as the smaller preimage. The larger image of course cannot possibly be congruent to the smaller preimage. Congruent figures must have the same corresponding side lengths.

We'll come back to choice B.

Choice C and choice D are ruled out for similar reasoning as choice A was eliminated.

-------------

To summarize the previous section: We ruled out choices A, C, and D. The only thing left is choice B.

Choice B is a translation. The jump from y to y-2 means we shift the point 2 units down. There is no left or right shifting because x stays the same.

For example, the point (5,12) moves to (5,10).

Notice that dilation is not being applied for choice B.

With any geometric translation, aka shifting, the side lengths will remain intact. Something that is 5 units long will stay 5 units long. No amount of shifting will change the distance.

Therefore, a translation preserves distances and lengths. We consider it a rigid transformation. This is why choice B will have the preimage congruent to the image.

Answer:B) (x, y) → (x, y − 2)

Step-by-step explanation:

On subtracting 3x² + 7x - 4 from 8x² - 6x + 2, the expression in standard form is obtained as 5x² - 13x + 6.

What is standard form?

To make mathematics easier for everyone to read, write, and work with, mathematicians from all around the world resolved to come to basic writing standards. The term "standard form" refers to this particular method.

The given expressions are -

a = 3x² + 7x - 4 and b = 8x² - 6x + 2.

Subtract a from b. The expression will be -

= (8x² - 6x + 2) - (3x² + 7x - 4)

= 8x² - 6x + 2 - 3x² - 7x + 4

= 5x² - 13x + 6

Therefore, the standard form is 5x² - 13x + 6.

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10.1 g of fluorine is required to produce 20.0 grams of FeF3

first, we have to balance the equation:

2Fe+3F₂⇒2FeF₃

The molar mass of FeF₃ is 112.84g/mol. so the num of mol(n) of FeF₃ present in 20.0g of mass is calculated as shown below:

n=20.0g/112.84g/mol

n=0.1772mol

According to the balanced equation on the macroscopic scale, 2 mol of FeF₃ is produced from 3 mol of F₂.

so, 0.1772 mol of FeF₃ is produced from X mol of F₂. where X is calculated as shown below:

X=3 mol/2mol*0.1772 mol

X=0.2658 mol

Hence, 0.2658 mol of F₂ is required. The molar mass of F₂ is 38.0g/mol

so, the mass of 0.2658 mol of F2 is calculated as:

m=0.2658 mol*38.0g/mol

m=10.1g

Hence, 10.1 g of fluorine is required.

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According to the information, it can be inferred that the city of Montgomery collected 320 tons of plastic in the month of June.

To calculate how many tons of plastic the city collected in June we must take into account the following information.

Taking this information as a reference, we must perform the following operation to find the amount of plastic that Montgomery collected in June:

So, the city of Montgomery collected 320 tons of trash in the month of June.

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