Simplify: 5m + 3b - 9m - 4w Responses 14m + 7b 14m + 7b 14m + 3b - 4w 14m + 3b - 4w -4m + 3b - 4w -4m + 3b - 4w 21

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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Answer: x=26

Step-by-step explanation:

(x-1) = 50/2

x-1 = 25

x = 25 +1

x = 26

Answer:

  40 m

Step-by-step explanation:

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

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.

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

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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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.

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%

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

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.

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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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:

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.

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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Answer:

5

Step-by-step explanation:

slopes of the parallel lines are always same this line has slope five

because equation in y intercept form is y=mx+b

where m is the slope.

so the slope of the new line will be five

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

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

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

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

Step-by-step explanation:

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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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

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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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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

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.

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:

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

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

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).​

Answer:

b is the y-intercept.

Step-by-step explanation:

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

b is the y-intercept.

Answer:

1/√5-√2 = −√2+√5 (-0.967)

√5-√2 = −√2+√5 (0.821854)

Subtract the answers as the decimal and/or the equation:

-0.967-0.821854 = -1.518854

As equation:

−√2+1/5√5 - √2+√5 = −2√2 + −4/5√5 (Decimal: -4.617282)

Answer:

  $13,000

Step-by-step explanation:

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

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.