write the answer in the simplest form 2/3 x 4/7

Students should add 8.6 fluid ounces of 12% ethylene glycol.

Using the relation between concentration and volume of solution to find the required amount of 12% ethylene glycol to be used. Let the required amount of 12% ethylene glycol be x fluid ounces. Forming the relation as follows -

C₁ × V₁ + C₂ × V₂ = C₃ × V₃

C₁ and V₁ represents 2% ethylene glycol, C₂ and V₂ represents 12% ethylene glycol and C₃ and V₃ represents 5% ethylene glycol solution. As V₂ is x, so, V₃ will be (20 + x).

Keep the values in formula to find the value of x

2%×20 + 12%×x = 5%×(20 + x)

Solving the equation for the value of x

2/100×20 + 12/100×x = 5/100×20 + 5/100×x

0.4 + 0.12x = 1 + 0.05x

Rearrange the equation -

0.12x - 0.05x = 1 - 0.4

Performing subtraction on both sides -

0.07x = 0.6

Shifting 0.07 to Right Hand Side and performing division

x = 0.6 ÷ 0.07

x = 8.6 fluid ounces

Hence, 8.6 fluid ounces of the 12% ethylene glycol should be added.

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Nikola took 2 hours to finish the swimming part

Nikola took 4.5 hours to finish the running part

A form of arithmetic in which the rules of arithmetic are used to combine letters that represent numbers.

Calculations:

Assume,

[tex]t=time\;in\;hrs\;to\;complete\;swimming\;part[/tex]

[tex]6.5-t=time\;in\;hrs\;to\;complete\;running\;part[/tex]

[tex]d=distance\;in\;km\;that\;he\;swam[/tex]

[tex]73.5-d=distance\;in\;km\;that\;he\;ran[/tex]

Equation of swimming part,

[tex]d=3t[/tex]

Equation of running part.

[tex]73.5-d=15\times(6.5-t)[/tex]

Substitute the value of d in running part equation,

[tex]73.5-3t=15\times(6.5-t)[/tex]

[tex]73.5-3t=97.5-15t[/tex]

[tex]12t=24[/tex]

Therefore,

[tex]t=2[/tex]

[tex]Time\;to\;complete\;summing\;part=t[/tex]

[tex]Time\;to\;complete\;summing\;part=2\;hours[/tex]

[tex]Time\;to\;complete\;summing\;part=6.5-t[/tex]

[tex]Time\;to\;complete\;summing\;part=6.5-2[/tex]

[tex]Time\;to\;complete\;summing\;part=4.5\;hours[/tex]

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Answer:

A. ≈65in

B. ≈68in

Step-by-step explanation:

Girls: 25 + 1.17h

Boys: 22.7 + 1.37h

A. 25 + 1.17(34) = 25 + 39.78 = 64.78in

B. 22.7 + 1.37(33) = 22.7 + 45.21 = 67.91in

Since it's asking for the nearest inch:

A. ≈65in

B. ≈68in

I hope this helps!

Answer: Zero product property

n = 0

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

Explanation:

The zero product property is the idea that if A*B = 0, then either A = 0 or B = 0 or both are zero.

This is because we cannot multiply nonzero values to get a result of zero.

In the equation 5*n*2 = 0, we have 5 and 2 as nonzero, which forces the variable n to be zero. So this is why n = 0 is the only solution here.

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

Extra info:

The zero product property is often used in factoring. For example, x^2+5x+6 = 0 factors to (x+3)(x+2) = 0. Then we set the pieces equal to zero and solve for x

x+3 = 0 leads to x = -3

x+2 = 0 leads to x = -2

Answer: 50 words per minute

Step-by-step explanation: if he types 10 words per minute and if you multiply that by 5 the answer is 50 words per minute

The specific gravity of the combined product is 1.22

Specific gravity is the ratio of the density of a substance to the density of some substance (such as pure water) taken as a standard when both densities are obtained by weighing in air.

Given,

The total quantity of portion= 50 ml

Specific gravities of the three syrups = 1.10,1.25 and 1.32

Then,

The specific gravity of the combined product= [tex]\frac{1.10+1.25+1.32}{3}[/tex]

= 1.22

Hence, the specific gravity of the combined product is 1.22.

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Answer:

D

Step-by-step explanation:

When 7 and 14 are divided by their respective co-ratios, both quotients come out to 2.3333333333333. This means that D forms a porportion.

Answer:

Step-by-step explanation:

The answer is D because 7/14=0.5 and so does 3/6

Answer:

IQR = 13

Step-by-step explanation:

first step is to find the median of the data set.

rearrange the data into ascending order. Then the median is the middle value.

1  ,  6  ,  7  ,  8  ,  12  ,   19  ,  30 ← in ascending order

                   ↑ middle

then median = 8

the interquartile range (IQR) is calculated as

IQR = Q₃ - Q₁ ( Q₃ is the upper quartile and Q₁ the lower quartile )

Q₃ is the middle value of the data to the right of the median

12  ,  19  ,  30

        ↑ middle

then Q₃ = 19

Q₁ is the middle value of the data to the left of the median

1  ,  6  ,  7

     ↑ middle

then Q₃ = 6

IQR = 19 - 6 = 13

The point R has an abscissa 9 and ordinate 5

Answer:

a

Step-by-step explanation:

Answer:54

Step-by-step explanation:

Answer:

27

Step-by-step explanation:

D. The solution of the quadratic equation using completing the square method is x = 7 ±√3.

Completing the square method is one of the methods to find the roots of the given quadratic equation.

In completing the square method, we have to convert the given equation into a perfect square.

The given quadratic equation;

x² - 14x + 46 = 0

collect similar terms together;

x² - 14x = -46

take half of coefficient of "x", square it and add it to both sides of the equation.

(x - 7)² = -46 + 49

(x - 7)² = 3

take square root of both sides

x - 7 = ±√3

add "7" to both sides of the equation

x = 7 ±√3

Thus, the solution of the quadratic equation using completing the square method is x = 7 ±√3.

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The number of trips max would have to make in order to deliver 12 cords of wood is 16 trips.

We will use unitary method to solve this problem.

Pick up truck carry ( 3/4 ) cord of firewood in trip = 1

Pick up truck will carry 1 cord of firewood in the trips =  ( 1/(3/4) ) trips                                                                                                                

                                                                                        = ( 4/3 ) trips

Truck will carry 12 cords of firewood in the trips = 12 × ( 4/3 )

                                                                                = 16 trips.

Therefore, the number of trips max would have to make in order to deliver 12 cords of wood is 16 trips.

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The statement that the product of an integer and a decimal number will never be an integer is false

The statement is given as

The product of an integer and a decimal number will never be an integer.

The above statement is false.

Take for instance, we have

2 x 2.5

2 is an integer and 2.5 is a decimal number

The product is

2 x 2.5 = 5

5 is an integer

Hence, the statement that the product of an integer and a decimal number will never be an integer is false

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Answer: x=4

HJ=13

JK=5

Step-by-step explanation:

KH=HJ+JK

18=2x+5+3x-7

18=2x+3x+5-7

18=5x-2

5x=20

x=4

HJ=2x+5

HJ=2(4)+5

HJ=8+5

HJ=13

JK=3(4)-7

JK=12-7

JK=5

Answer:

11=2y-11

11+11=2y

22=2y

y=22/2

y=11

Answer: I got you!

The answer is below!

11=2y-11

11+11=2y

22=2y

y=22/2

y=11

Based on the given parameters, the range of the function is -8 < y < -3

We have the following endpoints on the graph of the function;

(x, y) = (-5, -3)

(x, y) = (10, -8)

A diagonal curve connects both points

Remove the x values to determine the range

y = -3

y = -8

-8 is less than -3

So, the range can be represented as

-8 less than y less than -3

Express less than using the inequality <

So, we have

Range: -8 < y < -3

Hence, the range of the function is -8 < y < -3

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Answer: your answer should be  -8 < y < -3

Step-by-step explanation:

What happens when x = 4 is that the graph is equal to zero when x = 4.

The information that we have is:

"The graph of y = -1/2x + 2 is  is negative over the interval (4, ∞) and positive over the interval (-∞, 4)."

Now, if for values of x smaller than 4 the graph is negative and for values of x larger than 4 the graph is positive, this must be that the graph must crosses the x-axis at some point, then with only that information, we can conclude that the graph is equal to zero when x = 4.

But we could also test it with the equation:

y = -(1/2)*x + 2

if we replace the x with 4.

y = -(1/2)*4 + 2 = -2 + 2 = 0.

Then our previous hypothesis was correct.

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Answer:

[tex]{ \rm{ac = ab + bc}} \\ { \rm{(x + 3) = (2x - 11) + 8}} \\ { \rm{2x - x = 3 + 11 - 8}} \\ { \rm{x = 6}}[/tex]

After simplifying the given expression 9 p³ q¹ ( 3 p³ - 5 q ), we get 27 p⁶ q - 45 p³q².

We are given that:

9p³q¹(3p³ - 5q)

We need to simplify it:

So, we get that:

= ( 9 p³q¹  × 3 p³ ) - ( 9 p³q¹  ×  5 q )

Simplify:

= 27 p³⁺³q - 45 p³q¹⁺¹

Simplifying it, we get that:

= 27 p⁶ q - 45 p³q²

Therefore, after simplifying the expression 9 p³q¹ ( 3 p³ - 5q ), we get 27 p⁶ q - 45 p³ q².

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Answer:

B

Step-by-step explanation:

its the second one

hope this helps :)

Answer:

Please mark this answer as the brainliest, it would really mean a lot to me

Answer = 28 Degrees

Step-by-step explanation:

If the triangle has two sides that are the same, it is an isosceles triangle.

The rule for an isosceles triangle is "an isosceles triangle △ABC where AB = AC, we have ∠B = ∠C."

So in this case, it would be FE = FG, and ∠E = ∠G.

Answer:

Step-by-step explanation:

the answer is 8

8 shipping cost

8 + X = Y

It's crucial to start a topic off positively in a group discussion when you feel completely confident over your statements in order to create the correct momentum that will lead to a strong start and help you establish yourself as the group leader.

Confidence is by far the most crucial quality. A strong sense of self-assurance is essential for a leader. Self-conscious people are rarely effective leaders. A guy needs to have the self-assurance to tell people to follow him. The leader must have faith in his judgement and actions. An important trait in a leader is honesty. If someone wants to gain followers, they must exhibit honesty and integrity. A leader needs to be an excellent innovator. He must exercise creativity in his work. Most importantly, innovation ensures a group's or invention's continuous existence. Innovation is necessary for growth to occur.

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When we reflect a point across the line y = x, the x- and y-coordinates swap positions.

Therefore, when we reflect a point across the line y = x, the x- and y-coordinates swap positions.

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The populace is the concrete produced by a certain procedure. This population is conceptual since the concrete won't exist until the sampling procedure has created it.

It is frequently crucial to ascertain the type of population we are working with when asked to perform a sample of it. Sometimes we want to learn more about a lot of different things, like people, apple trees, cereal boxes, etc. Physical things make up the majority of this population. But occasionally, we work with a population that is determined by how well a certain method works (like flipping a coin). We cannot influence that population, but we are aware of its behavior. The population is the broad category of topics about which we are interested in learning more. Since we are dealing with concrete objects that we can touch and interact with, it is more particularly a tangible population.

Similar to the bag of marbles, we have a 50/50 probability of seeing each result. The population does not yet exist with the coin, which is the problem. To get a result, we must flip a coin. Although it is only a notional population, we nonetheless regard "all of the coin flips" as the conceptual population.

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Answer:

16

Step-by-step explanation:

Step 1. Plug the numbers into the equation.

Step 2. Solve using PEMDAS

2 ( 6 + 3 ) - 2

2 ( 9 ) - 2

18 - 2

16

the answer for the given question is slope is -5 and y- intercept is 2.

The slope intercept form of a straight line is one of the most common ways to represent a line's equation. When given the slope of a straight line and the y-intercept, the slope intercept formula can be used to find the equation of a line (the y-coordinate of the point where the line intersects the y-axis).

The slope-intercept form is y = mx + b , where m is the slope and b is the y-intercept.

y = mx + b

Take 20x off both sides of the equation.

4y = 8 − 20x

Simplify each term by dividing it by 4y = 8 - 20x.

y = 2 − 5x

Reorder 2 and -5x.

y =−5x + 2

Therefore after simplification we get the slope as -5

and the y-intercept as 2

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Answer:

v = 72

Step-by-step explanation:

If the length of both the sides are 12, it means it is an Isosceles triangle which means 2 sides of a triangle are equal. If both sides are equal then both angles will be equal too.

54 and 54

54 + 54 + v = 180

108 + v = 180

v = 72