At a grocery store, a customer pays a total of $11.10 for 1.6 pounds of chicken
and 2 pounds of fish. Another customer pays a total of $12.15 for 2.4 pounds of
chicken and 1.8 pounds of fish. How much does each cost per pound?

Answers

Answer 1

Each pound of fish and chicken will cost $3.75 and $2.25 respectively

How to determine how much each cost per pound?

A word problem is a mathematical exercise where significant background information on the problem is presented in ordinary language rather than in mathematical notation

Given that:

1. A customer pays a total of $11.10 for 1.6 pounds of chicken

and 2 pounds of fish.

2. Another customer pays a total of $12.15 for 2.4 pounds of

chicken and 1.8 pounds of fish

Let C and F represent the cost of one pound of chicken and fish respectively

Statement 1:

1.6C + 2F = 11.10  ---- (1)

Statement 2:

2.4C + 1.8F = 12.15  ---- (2)

we have simultaneous equations now, let's solve using the elimination method:

1.6C + 2F = 11.10      ---- (1)

2.4C + 1.8F = 12.15  ---- (2)

2.4 × (1.6C + 2F = 11.10) =     3.84C + 4.8F = 26.64

1.6 × (2.4C + 1.8F = 12.15) =  3.84C + 2.88F = 19.44

                                            ..........................................

                                                           1.92F  = 7.2

Thus, 1.92F  = 7.2

F = 7.2/1.92 = $3.75

Put F = $3.75 into (1):

1.6C + 2F = 11.10

1.6C + 2(3.75) = 11.10

1.6C + 7.5 = 11.10

1.6C = 11.10 - 7.5

1.6C = 3.6

C = 3.6/1.6 = $2.25

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Related Questions

What is the major difference between the alternate hypothesis and the null hypothesis?.

Answers

The alternative hypothesis of a test expresses your research's prediction of an effect or relationship, whereas the null hypothesis of a test always predicts no effect or no association between variables.

What is Hypothesis?

A hypothesis is a put forth explanation for a phenomenon (plural: hypotheses).

A hypothesis must be testable according to the scientific method for it to be considered a scientific hypothesis. Scientific hypotheses are typically based on prior observations that cannot be adequately explained by the current body of knowledge.

Despite the frequent confusion between the terms "hypothesis" and "theory," a scientific hypothesis differs from a scientific theory.

A working hypothesis is a theory that has been tentatively accepted and is proposed for future study[1], starting with an informed guess or thinking.

Hence, The alternative hypothesis of a test expresses your research's prediction of an effect or relationship, whereas the null hypothesis of a test always predicts no effect or no association between variables.

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J(2,-4), k(3,7), L(6,-1); x-axis

Answers

The reflection of the points J(2,-4), K(3,7),  and L(6,-1) is (2, 4), (3, -7) and  (6, 1) respectively.

What is reflection?

Reflection is basically a mirror image of the shape, in which the image of a given figure changes accordingly to a given line or axis.

The given points are,

J(2,-4), K(3,7),  and L(6,-1)

The reflection of a point (x, y) over the x-axis (x, -y),

So the reflection of point J(2, -4) is M(2, 4)

Reflection of point (3, 7) is (3, -7)

And reflection of point (6, -1) is (6, 1)

The reflection of the points J(2,-4), K(3,7),  and L(6,-1) is (2, 4), (3, -7) and  (6, 1) respectively.

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What is pie to the second power

Answers

Answer:

9.869604...

Step-by-step explanation:

Pie to the second power, or pi squared, is the mathematical operation of multiplying pi (3.14159...) by itself. The result of this operation is equal to 9.869604...

In mathematical notation, pi squared is written as π^2, which is the same as saying "pi to the power of 2". This means that π^2 = π * π = 9.869604...

In general, raising a number to the second power means multiplying the number by itself. For example, 2^2 = 2 * 2 = 4, and 3^2 = 3 * 3 = 9. Similarly, pi squared is just the product of pi multiplied by itself.

pi is approximately 3.14159265359

pi^2 (pi to the second power) is approximately 9.86960440109

Given (x – 1)2 = 50, select the values of x.

Answers

Answer: x=26

Step-by-step explanation:

(x-1) = 50/2

x-1 = 25

x = 25 +1

x = 26

x-1 = root of 50
X - 1 = 7.07
X = 8.07.

which function is represented on the graph

Answers

Answer: was there supposed to be a picture attached to this question ?

Step-by-step explanation:

Which of these relations is a function?

Answers

The relation that is a function is the graph (d)

How to determine the function?

From the question, we have the graphs to represent the given parameters that can be used in our computation

We are to find out which of them represents a function

For a graph to represent a function, the graph must pass the vertical line test

This means that a line drawn from the x-axis must touch the graph at most once

So, we draw these lines  and attach the graphs (see attachment)

The graph that pass the vertical line test is graph d

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the equation of a line is y = 7x + 8 what is the gradient of the line ​

Answers

Answer:

7

Step-by-step explanation:

The gradient of a line is a measure of how steep the line is. It is calculated as the change in the y-value (the "rise") divided by the change in the x-value (the "run").

In the equation y = 7x + 8, the coefficient of x (7) is the gradient of the line. This means that for every 1 unit change in the x-value, the y-value changes by 7 units.

So the gradient of the line y = 7x + 8 is 7.


When conveiling units, summarize the steps using the direct method

Answers

Answer:

1. Identify the unit of measure to be converted.

2. Determine the conversion factor between the original and desired units.

3. Multiply the original measure by the conversion factor to obtain the new unit measure.

4. Check the new unit measure to ensure accuracy.

Step-by-step explanation:

8x = 2 write the value of x

Answers

Answer: x=1/4

Step-by-step explanation:


1. You want to isolate the variable, in other words get it by itself. You do that be dividing by 8 to both sides, 8x/8 is just x and 2/8 is 1/4, so therefore x=1/4


2. you can plug in 1/4 for x to check it. 8 x 1/4 is 2, and 2=2 ✅

Answer:x=1/4 or x=0.25 I hope this helpful mark me brainlist if correct

Step-by-step explanation:

8x=2

Divide both sides of the equation by 8

8x divide 8=2 divide 8

Any expression divided by itself equals 1

x=2 divide 8

then write the the division as a fraction

X=2/8

Cancel out the common factor 2 and 8

X=1/4 or x=0.25

Joey, Keith, and Eli have a combined height of 7 meters. If Joey is 1 2/5 meters tall and Eli is 2 7/10 meters tall, how tall is Keith?

Answers

Answer: 2 9/10 or 2.9 metres

Step-by-step explanation: Form an equation with the information given

1 2/5 + 2 7/10 +x =7

Let x represent the height of Keith

Change mixed fractions into improper fractions

1 2/5=7/5 as an improper fraction  we say 1*5+2=7 and put it over the denominator 5

2 7/10 =27/10 as an improper fraction we say  2*10+7 =27 and put it over the denominator 10

we now have the following:

7/5+27/10+x=7

We simplify these fractions by adding them up

7/5

7/5*2/2+27/10=14/10+27/10=41/10

41/10+x=7

To solve for x

take 41/10 from both sides

7-41/10

Making the denominators the same we get the following:

x=70/10-41/10=29/10=2 9/10

If you rent a car from Caleb's Cars, you'll pay a $61 fee
and $24 per day. At Vinny's Vehicles, you'll pay a $105 fee and $20 per day. Determine the number of days you can rent a car from either place and pay the same amount. Use substitution or elimination.Thanks

Answers

Starting rent fee:
Caleb’s cars:$61
Vinny’s Vehicles:$105
Difference:105-61=44

Amount per day:
Caleb’s Cars:$24
Vinny’s Vehicles:$20
Difference:24-20=4

Now divide the difference of the starting rent fee (44) by the difference of the amount per day (4).

44/4=11

It will take 11 days.

Check your work:

Caleb’s Cars: (24x11)+61=325

Vinny’s Vehicles: (20x11)+105=325

325=325

Thus, it will take 11 days to pay the same amount.

If you have any questions, feel free to leave a comment.

Hope this helped!

If a cubic millimeter of blood contains 5,800,000 red blood cells, how many red blood cells are contained in 50 cubic of blood? Express your answer in scientific notation

Answers

In linear equation, Total number of red blood cells in the body is  29  *  10¹¹ .

What in mathematics is a linear equation?

A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept.

                              Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.

Red blood per cubic millimeter = 5,800,000 = 5.8 * 10⁵

Red blood in 5 litres of blood  = 5.8 * 10⁵ * 5 *  10⁵

                                                 =       29.0  * 10¹⁰

                                                 =     29  *  10¹⁰  *  10

                                                 =  29    *  10¹¹

Total number of red blood cells in the body is  29  *  10¹¹.

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In a survey, 80 people were asked whether they prefer to vacation in the mountains or at the beach. Sixty-two people said they prefer beaches. What percent of the people prefer beaches?

Answers

Answer: 77.5% of people prefer beaches

Step-by-step explanation:

It's pretty easy to find the percent of people that prefer beaches.

First, find the total amount of people in the survey and you get 80.

Then, also find the amount of people that prefer beaches. 62.

Then you follow this equation:

(Total # of people who prefer beaches) divided by (Total # of people in survey)

= 62/80 = 0.775

After that, you multiply 0.775 x 100 and you get your percentage :D

0.775 x 100 = 77.5% or 77%

Hope this help ^_^

Answer:

77.5%

Step-by-step explanation:

Total number of people = 80

Number of people who prefer beaches = 62

% of people who like beaches = (62/80)x100% = 77.5%

if a clock's second hand is one inch long, how many miles, to the nearest mile, does the second hand on the clock above travel in 7 days?

Answers

The hand will cover a distance of 1055.04  inches in 7 days.

To establish the distance covered by the  hand's point would go in a week, we would first need to determine the radius of the clock's circle, for which the hand serves as a proxy .

To accomplish this, we would utilize the equation 2(pi*radius),

where pi equals 3.14.

The solution to p=2(3.14*1 ) is 6.28  inches.

This indicates that the hand's point moves 6.28inch every 1 hours.

To determine how far the hand moves in a 168 hour, we would multiply 6.28 inch by 168.

As a result, we arrive at the final calculation of 168 inches covered in 7 days as 1055.04 inches.

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Substitute the values into the appropriate formula and solve for x.

Answers

Answer: Hi so its pretty straight forwad use the cosine formula as you have 2 sides and angle opposite of the x. Answer: 21.35

Step-by-step explanation:

Answer for 10 points!

Answers

The computation of (9 × 20 + 60) ÷ 4 - 16 + 4 × (20 × 5) is 444.

How to simplify an expression?

The expression can be simplified using PEMDAS rule.

Therefore,

P = parenthesisE = exponentialM = multiplicationD = divisionA = additionS = subtraction

Hence, we have to simplify the expression according to the operator that comes first in the PEMDAS rule.

Therefore,

(9 × 20 + 60) ÷ 4 - 16 + 4 × (20 × 5)

(180 + 60) ÷ 4 - 16 + 4 × 100

240 ÷ 4 - 16 + 400

60 - 16 + 400 = 444

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Find the equation of the straight line RS. A)y = -2x + 3 B)y = -2x + 6 C)y = 2x + 3 D)y = 2x + 6​

Answers

The equation of the line passing through the points (0, 6) and (3, 0) is y = -2x + 6.

What is the slope of the equation?

The slope of a line is a measure of its steepness. Mathematically, the slope is calculated as "rise over run" (change in y divided by change in x).

To find the equation of the line passing through the points (0, 6) and (3, 0), we can use the two-point form:

y - y1 = m(x - x1)

where (x1, y1) is one of the given points, and m is the slope of the line.

To find the slope, we can use the formula:

m = (y2 - y1) / (x2 - x1)

Substituting the coordinates of the given points, we get:

m = (0 - 6) / (3 - 0)

= -6 / 3

= -2

Substituting this value for m and the coordinates of one of the given points into the two-point form, we get:

y - 6 = -2(x - 0)

Combining like terms and multiplying through the parentheses, we get:

y = -2x + 6

Hence, the equation of the line passing through the points (0, 6) and (3, 0) is y = -2x + 6.

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How is the value of b related to the y-intercept of the graph of y = 3x + b?

Answers

Answer:

b is the y-intercept.

Step-by-step explanation:

The equation is in the y = mx + b form.

b is the y-intercept.

HELP PLEASEEE

Find the measure of HG

Answers

Answer:

  40 m

Step-by-step explanation:

Given midline JK = (6x -4) m and baseline HG = 10x m, you want the measure of HG.

Midline

The midline of a triangle is half the length of the parallel baseline.

  JK = 1/2·HG

  6x -4 = 1/2(10x)

  x -4 = 0 . . . . . . . . . subtract 5x

  x = 4

  10x = 10·4 = 40

The measure of HG is 40 meters.

What is y=5x-4 in standard form?

Answers

Answer:5x-y=4

Step-by-step explanation:

The standard form of a linear equation is

Ax+By=C

Move all terms containing variables to the left side of the equation.

5x-y=4

Answer: 5x-y=4

Step-by-step explanation:

The standard form equation is Ax+By=C

So y=5x-4

So first we have to add 4 both side

y+4=5x

then we subtract y from both side

4= 5x-y

If you can, please give me a Brainliest, thank you!

hats and mittens are on sale at the store

Answers

On solving the question, we got that - one hat costs $2, while a pair of mittens costs $5.

What is equation?

A mathematical equation is a statement that contains two algebraic expressions on each side of the equal sign (=). Both of the expressions—the one on the left and the one on the right—are shown as being equal. LHS = RHS is shown.

The shop has hats and mittens on sale!

For $30, one woman was able to get four pairs of mittens and five hats.

For $19, another woman bought two hats and three pairs of mittens.

x is the cost of one hat.

One pair of mittens costs y dollars.

We must locate x and y.

One woman spent $30 to purchase 4 pairs of mittens and 5 hats.

One hat costs x dollars.

The cost of a single pair of mittens is y.

- Divide four pairs of mittens by y, multiply five hats by x, and equal

30 times their total

[tex]5x + 4y = 30 ........................ (1)[/tex]

For $19, another woman bought two hats and three pairs of mittens.

- Divide three pairs of mittens by y, multiply two hats by x, and equate

multiplied by 19

[tex]2x + 3y = 19 ............................ (2)[/tex]

Now,

[tex]-10x - 8y = -60 ................(3)\\10x + 15y = 95 .......... (4)\\Add equations (3) and (4)\\ 7y = 35\\Divide both sides by 7\\ y = 5\\Substitute the value of y in equation (1) or (2) to find x\\ 2x + 3(5) = 19\\ 2x + 15 = 19\\ Subtract 15 from both sides\\ 2x = 4\\ Divide both sides by 2\\x=2\\[/tex]

One hat costs $2, while a pair of mittens costs $5.

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The correct question -

Hats and mittens are on sale at the store! One woman was able to buy 5 hats and 4 pairs of mittens for $30. Another woman purchased 3 pairs of mittens and 2 hats for $19. Find the price of one hat (x) and one pair of mittens (y).​

Need Help with geometry

Answers

Answer: 23

Step-by-step explanation: ML is in between JL. Line ML is 15 and KL is 8.

Since ML is in between we already know there is 15, and the space left is about the same size as line KL. so 15+8=23.

this graph shows a proportional relationship containing the point (3,6) and (4,8)

What is the constant of proportionality ?

Answers

The constant of proportionality is 2.

What are direct and indirect variations ?

One quantity directly changes in response to a change in another quantity, which is referred to as direct variation. This suggests that if one quantity increases, the other will follow suit and rise in proportion. In a similar manner, if one quantity declines, the other amount also declines.

When one parameter declines while the other rises or vice versa, this is known as inverse variation. This means that the magnitude or absolute value of one item decreases as the other quantity rises, resulting in a constant value for their product. This item is also referred to as the proportionality constant.

A proportional relationship is described by ...

y = kx

The value of k can be found by dividing by x:

k = y/x

For the given non-zero point (3,6), the value of k is found to be ...

k = 6/3 = 2

 k = 2

The constant of proportionality is 2.

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Find a counterexample to how that the conjecture i fale. Conjecture: Any number that i diviible by 2 i alo diviible by 4

Answers

A number that is divisible by 2 is also divisible by 4. The counterexample of this conjecture should be a number that is divisible by 2 but not divisible by 4 .

What is Conjecture ?

A conjecture is a statement that is guessed by someone and it may or may not be true.

What is counterexample ?

A counterexample is an example that proves the conjecture to be false.

Let's go through the list of values and test the claim

Is 32 divisible by 2? Yes because 16*2 = 32. Is it also divisible by 4? Yes because 8*4 = 32. So we can cross choice A off the list

Is 12 divisible by 2? Yes because 6*2 = 12. Is it also divisible by 4? Yes because 3*4 = 12. So we can cross choice B off the list.

Is 40 divisible by 2? Yes because 2*20 = 40. Is it also divisible by 4? Yes because 4*10 = 40. Choice C is also crossed off the list.

Is 18 divisible by 2? Yes because 2*9 = 18. Is it also divisible by 4? No. We can see that by dividing 18/4 = 4.5 which is not a whole number result. Or you can list out the multiples of 4 which are 4, 8, 12, 16, 20 and we see that 18 is not on the list. This is a counter example to show that the claim "if number is divisible by 2, then it is also divisible by 4" is a false statement.

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The flak are in the hape of cone. The maller flak ha a bae radiu of
8
cm and a vertical height of
20
cm. The larger flak ha a bae radiu of
14
cm. The larger flak i now partly filled with liquid up to a vertical height of
15
cm. Calculate the volume of liquid in the flak. Give your anwer in term of π

Answers

The volume of the liquid in the bigger flask which is in the shape of the cone is V = 980π.

What is a cone?

A cone is a recognizable three-dimensional geometric shape with a smooth and curving surface that is directed upward in mathematics. The

Greek word "konos," which denotes a peak or a wedge, is the source of the English word "cone."

The apex is the pointy end, while the base is the level area.

So, the volume of liquid in the bigger flask:

We know that the radius of the bigger flask is 14cm.

The liquid is filled to a height of 15cm.

The volume of cone formula: V = πr²h/3

Substitute values as follows:

V = πr²h/3

V = π(14)²15/3

V = π196*5

V = 980π


Therefore, the volume of the liquid in the bigger flask which is in the shape of the cone is V = 980π.

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What is the solution ?
4/2 = √3x-2

Answers

Answer:

x = 2

Step-by-step explanation:

[tex] \frac{4}{2}=\sqrt{3x-2} [/tex]

[tex] 2=\sqrt{3x-2} [/tex]

4 = 3x - 2

3x = 6

x = 2

write an equation for the line that passes through point (0,4) and is parallel to the line with equation y = -5x + 3

Answers

The equation of a line which is parallel to line y = -5x + 3 and passes through points (0, 4) is 5x + y -4 = 0.

What is equation of line?

A line's equation is an algebraic way of expressing the collection of points that make up a line in a coordinate system.

The many points that collectively make up a line on the coordinate axis are represented as a group of variables (x, y) to create an algebraic equation, also known as an equation of a line.

The given line of equation is,

y = -5x + 3

The slope of the given line m = -5.

The slope of the required line which is parallel to given line will be equal to -5.

To find the line of equation that passes through the point (0, 4),

Use formula y - y₁ = m(x - x₁)

The required equation of line having slope -5 and passes through points (0, 4) is,

y - 4 = -5(x - 0)

y - 4 = -5x

5x + y -4 = 0

The required equation of line is 5x + y -4 = 0.

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I need help please. It’s for a practice test

Answers

Answer:

  $13,000

Step-by-step explanation:

You want to know the class width when the class ranges are defined as ...

$35,000–$47,999$48,000–$60,999$61,000–$73,999

Class width

The class width is the difference between adjacent corresponding boundaries. These are the differences of the low boundaries.

  $48,000 -$35,000 = $13,000

  $61,000 -$48,000 = $13,000

The class width is $13,000.

__

Additional comment

Often, the class boundaries are defined to be values that cannot be part of the data set. If data is rounded to the nearest dollar, the boundaries might be defined as $34,999.50 and 47,999.50, for example. That way, it is clear that both of the values $35,000 and $47,999 will fall into the first class.

The way the classes are defined here, we have to assume that both $35,000 and $47,999 will fall into the first class. However you define the classes, the class for any given data value should never be ambiguous.

The problem with gaps, such as the gap between 47,999 and 48,000, is that you don't know how to assign an "in-between" value to a class. We have to assume here that the ambiguity is resolved by not allowing any data values in that gap.

For your test, you'll want to know how your curriculum defines class width, data or class range, and class boundary, and the procedure recommended for determining class boundaries.

Use the properties of rigid motions to explain why triangle ABC is congruent to triangle XYZ

Answers

If ∆ABC is rotated around the origin 180 degrees, it will map to ∆XYZ. Since Rotations preserve shape and size, the triangles are congruent.

Are the triangles congruent via rigid motion?

Stiff motion makes these two triangles congruent. The SAS Theorem asserts that two triangles are congruent if they have two pairs of matching congruent sides in common and if the included angle is likewise congruent.

Use rigid motions to explain why ∆ABC ≅ ∆XYZ. If ∆ABC is rotated around the origin 180 degrees, it will map to ∆XYZ. Since Rotations preserve shape and size, the triangles are congruent. If ∆ABC is translated, it will map to ∆XYZ.

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How much money will be in an account with an annual interest rate of 7.5% compounded annually, if $5300 was deposited 7 years ago? Be sure to write your answer as money.​

Answers

Answer:

Step-by-step explanation:

To find the amount of money in the account after 7 years, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

where A is the final amount in the account, P is the initial deposit (5300), r is the annual interest rate (7.5%), n is the number of times the interest is compounded per year (1, since the interest is compounded annually), and t is the number of years the money is invested (7).

Plugging these values into the formula, we get:

A = 5300(1 + 0.075/1)^(1*7)

= 5300(1.075)^7

= $7953.33

So, the amount of money in the account after 7 years would be $7953.33.

A=5300(1+0.075/1)^1•7

A=5300•1075^7

A=5300•1.659049

A=8792.96

*They will have $8792.96 in 7 years
Other Questions
when identifying your interests as you prepare to conduct your job search, what questions should you ask yourself? check all that apply. what impact did Spanish colonizations have on the indigenous peoples of the Americas? If a chimpanzee were to throw darts at a Periodic Table, he would most likely hit anelement with which of the following characteristics: a) a naturally radioactive elementb) a solid at room temperaturec) a gas at room temperatured) a liquid at room temperature senior management of bina confections ltd., a multinational corporation, has taken a polycentric approach to manufacturing, marketing, and distributing its candies. what would be evidence of this perspective? How do Henry's figures of speech characterize the British?1. as argumentative and rude2. as sly and threatening3. as strong but compassionate4. as gracious and loving What Human Resource Policy changes do you think will have to become permanent as a result of the pandemic and why? Many people feel that globalization threatens folk cultures around the world. For the following categories describe how and why globalization can have a negative impact on a specific folk culture.A.Gender roles Translate this phrase into an algebraic expression.60 decreased by twice Jenny's scoreUse the variable to represent Jenny's score. please help. List and explain the events that will lead to the American Revolution and Independence? Which of the following graphs shows a dilation of the triangle from a fixed point? Evaluate the extent to which the opposition to taxation without representation was the primary force motivating the american revolutionary movement during the period 1763-1776. 7. What is the focus of social constructivist theory?a. Influence of environment and self-reflective behaviours.b. Key role of the individual.c. Influence of environment on individual and behaviour.d. Way in which social relationships are constructed. what is the most likely reason for the lower percentages of immigrants entering the united states after 2009? why was lincoln forced to keep replacing his generals during the early yesrs of the civil war? The lengths of the legs of an isosceles right triangle are x and [tex]\sqrt{6x+16}[/tex] a. Find the length of the hypotenuse, in terms of x, in simplest radical formb. Find the length of all three sides of the triangle, in simplest radical form. three boxes of supplies have an average (arithmetic mean) weight of 7 kilograms and a median weight of 9 kilograms. what is the maximum possible weig... What interest will be earned if $9,000 is invest for 4 years at 12% compounded monthly? Round to 2 decimals. A quality inspector visits two factories. She measures statistics for the mass of screwa produced at each factory.- The screws from which factory have grealer mass?Overall, the screws from Factory A have greater mass.- Find the difference in means between the factories:25.1-24.9=0.2Find the ratio of the difference in means to the MAD of Factory A: 0.2/0.2=1 Find the ratio of the difference in means to the MAD of Factory B: 02/0.3}=0.67 Are the screws produced by the two factories substantially different? Data marts can be implemented ____ compared to data warehouses.a. more quicklyb. it depends on the situationc. at the same paced. less quick Maria scored 20 goals in 4 soccer gameslast season. Approximately how manypoints did Maria average per game?