3x - 7 = 11 what does x equal

The distance from the Sun to Mars is 3. 9 times farther

Ratio can be described as a mathematical comparison between two or more numbers or elements in relation to each other on the basis of their sizes or magnitudes.

It is however known to show how many times one number or elements contains another.

Based on the information given, we have;

To determine the ratio of their distances from the Sun, we have;

Distance from the Sun to Mars /Distance from the Sun to Mercury

Substitute the values

2.28×10^8/5.79×10^7

Divide through

3. 9 times

Hence, the distance is 3. 9 times farther.

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Option B is correct.

Given that   Function G(F(x)) = (x - 5)3 + x - 5 ;

Lets take a function G(x) = x3 + x as (i) and check that it will produce the above equation or not.

Now suppose that the value of the function F(x) = x-5 as (ii) , using this value we will check that whether it support the value for g(x) or not.

Put the value of  function  f(x) in the equation number i , it will be like this :

G(f(x)) = f(x)3 + f(x)

we know that the value of f(x) from (ii)

Therefore, G(f(x)) will be :

G(f(x)) =  (x - 5)3 + x - 5, this will satisfy the above equation which means our supposition was correct. Hence the correct ans is B

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The required value of t according to the given question is - 8.

Given points are (-2,t) and (-1,-6)

Now let these two points be considered as

A and B that is let the points be A(-2,t) and B(-1,-6)

To find the slope of the graph we will use the formula m = y - y₁ / x - x₁

Given y = ty₁ = - 6x = - 2 x₁ = - 1

Thus on substituting these values in the above mentioned formula we will get m = t + 6 / - 1

Also given slope or m = 2Thus 2 = - t - 6 t = - 6 - 2 t = - 8

Thus the required value of t is - 8.

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Answer:When rotating a point 90 degrees counterclockwise about the origin our point A(x,y) becomes A'(-y,x). In other words, switch x and y and make y negative.

Step-by-step explanation: trust me

Answer: 16.4, 16 1/2, 16 3/5 16.625,

Step-by-step explanation: 16.4, 16 1/2, 16 3/5 16.625,

16 1/2 = 16.5, 16 3/5 = 16.6

The statements that are always true about Isosceles Trapezoids:

One pair of opposite sides are parallel.

One pair of opposite sides are congruent.

The sum of the angles is 360°.

Diagonals are congruent.

Diagonals intersect perpendicularly.

What is an isosceles trapezoids?

A convex quadrilateral having one pair of opposite sides divided by a line of symmetry is known as an isosceles trapezoid. It is a particular instance of a trapezoid. Alternately, it can be described as a trapezoid whose base angles and both legs are identical in size.

The true statements are:

One pair of opposite sides are parallel.

One pair of opposite sides are congruent.

The sum of the angles is 360°.

Diagonals are congruent.

Diagonals intersect perpendicularly.

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Answer:

0.2c-c

Step-by-step explanation:

The measure of missing line segments will be:

DG = 26; GE = 26; DF = 15; CH = 14; CE = 28

The centroid of a triangle is the place where the three medians of the triangle connect. It is sometimes defined as the point at where the three medians cross. A median line connects the middle of a side to the opposing vertex of a triangle. The centroid of a triangle is the point at where the triangle's three medians coincide (each median connecting a vertex with the midpoint of the opposite side).

Here,

IF If J is the centroid of CDE, this means that J divides CG, FE, DC, CE and DH into two equal parts.

The following expressions are therefore true

DG + GE = DE and DG = GE

Substituting

DG + DG = DE

2DG = DE

Given DE = 52

2DG = 52

DG = 52/2

DG = 26

Since DG = GE, hence GE = 26

Also DF + FC = DC and DF = FC

Since FC = 15, hence DF = 15

Also CH + HE = CE and CH = HE

Since HE = 14, hence CH = 14

CE = 14+14

CE = 28

The missing line segment count will be: DG = 26; GE = 26; DF = 15; CH = 14; CE = 28.

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Answer:

7xy(2x-3y+4xy)

Step-by-step explanation:

14÷7=2

21÷7=3

28÷7=4

they all have 7, x and y so that would be on the outside

The graph of equation y=4|x-1|+3 is as shown below.

In this question, we need to graph the equation y=4|x-1|+3

We know that the parent function of given equation is z = |x|

A parent function is translated right by 1 unit then it is dilated vertically by 4 units and the resulting image is translated up by 3 units.

The graph of equation y=4|x-1|+3 is as shown below.

The vertex of equation y=4|x-1|+3 is at (1, 3)

Therefore, the graph of equation y=4|x-1|+3 is as shown below.

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Answer: Austin burn 809.8 more calories today than yesterday.

Answer: 41.18% or 7/17

Step-by-step explanation:

7 + 4 + 6 = 17

7/17 (fraction)

41.18%

The correct statements regarding the scatter plot are given as follows:

The scatter plot is used to give the points needed to build the linear regression equation relating the output variable of the vertical axis as a function of the input variable represented by the horizontal axis.

In the context of this problem, these points are given as follows:

(0, 4), (2, 5), (7,7), (9, 10), (14, 12), (15, 15), (21, 17).

Inserting these points into a linear regression calculator, the equation is listed as follows:

y = 0.6529x + 3.65758

On each day listed on the options, the predicted weights are given as follows:

From these numeric values, the correct options are selected.

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Jeanne can make 3 pairs of shorts with 3 7/8 yards of fabric.

What do you mean by ratio?

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

For example, a/b, where a will be the numerator and b will be the denominator.

Proportion is the relation of a variable with another. It could be direct or inverse.

Given that,

The total amount of fabric = 3 7/8 yards = 31/8 yards.

Amount of fabric needed to make 1 pair of shorts = 1 1/4 = 5/4 yards.

The number of shorts that can be made = 31/8 ÷ 5/4

⇒ 3.1 so it will be 3 because no relevance of decimal shorts.

Hence "Jeanne can make 3 pairs of shorts with 3 7/8 yards of fabric".

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The probability that Sam gets only one of the two guessess correct is 3/16.

Probability is the likelihood of the occurence of an event.

The probability of guessing correctly = 1/4

The probability of guessing incorrectly = 3/4

Therefore, the probability that only one guess is correct will be:

= probability of guessing correctly × probability of guessing incorrectly

= 1/4 × 3/4

= 3/16

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Answer:

Slope = -2

Step-by-step explanation:

Slope of Line passes through two Points [tex](x_{1},y_{1} )[/tex] and [tex](x_{2},y_{2} )[/tex]

is given by [tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex]

So by Substitution

[tex]m=\frac{-6- 2 }{-1 - (-5)}=\frac{-8}{4} =-2[/tex]

Answer:

40

Step-by-step explanation:

Looking at the other examples, its shows the the second number is always 4 times bigger/ahead then/of the first number.

For a proportional relationship between the volume of flour used (in cups), x, and the number of baked muffins, y, the constant of proportionality is 4.

Constant of proportionality, also known as constant ratio or constant rate, refers to is the ratio that relates two given values in a data set that is represented as a proportional relationship. When two parameters are proportional, either directly or indirectly, the relationship is expressed as a = kb or a = k/b, where k indicates the relationship between the two variables and is known as the proportionality constant. In the given data, the proportionality constant is:

k =b/a = 8/2 =12/3 = 16/4 = 20/4 = 4

Hence, the proportionality constant for the given data is 4.

Notes: The question is incomplete. The complete question is: Brian loves to bake blueberry muffins for his friends and family. There is a proportional relationship between the volume of flour brian uses (in cups), x, and the number of muffins he bakes, y. What is the constant of proportionality. (Refer to the table).

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Answer:  The correct answer is D. (2.5,1.5)

Step-by-step explanation:

As noted in the graph, the lines intersect at the location where x=2.5 and y=1.5 in Quadrant I (both positive).

Answer:   17/2578  (Decimal: 0.006594)

Step-by-step explanation:

That's the answer :)

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

Q. What is Equation of line ?

 A straight line's general equation is y = mx + b, where m denotes the   gradient or slope and y = b denotes the point at which the line crosses the y-axis. On the y-axis, this value b is referred to as the intercept.

We know the equation of line is

y = mx + b

where,

m = slope

b = y - intercept

To form an equation we need to find 'b' and 'm'.

so, first find 'b' i.e, y - intercept

For that, you just need to see the red line cuts the y-axis at its sharp grid means not in middle of the grid.

So, by observing the graph we see y = 1 where the red line cuts the y-axis

so we get, b = 1 means y-intercept

Now, we need to find slope (m).

For that, we know slope = rise / run

So take any point on graph which is easily to recognize the (x,y) points on graph.

Here I take the point (2, 5).

Now mark that point and find rise and run values.

rise = 4 (count from y = 1 to y = 5 )

run = 2 (count from x = 0 to x = 2)

Now, put the values and get the slope.

slope (m) = 4 / 2

               = 2

Now, put the y-intercept and slope values in equation of line .

y = mx + b

y = 2x + 1

Hence, the equation of line in slope-intercept form is y = 2x + 1

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The probability of the next flip result in a trail is 0.5.

Given that,

If you flip a coin 100 times and receive 80 heads and 20 tails.

We have to find what is the probability that the upcoming flip will result in a tail based on these findings.

Probability refers to potential. This branch of mathematics deals with the occurrence of a random event. The value's range is 0 to 1. Probability has been applied into mathematics to predict the likelihood of different events.

Gonna determine how likely something is to occur, use probability. Many things are hard to predict with 100% certainty.

One is the probability of every event in a sample space.

Next flip result is independent of the past results.

P(Next flip result is tail) = 1/2 = 0.5

Therefore, The probability of the next flip result in a trail is 0.5.

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The value of x in the given isosceles triangle is x = 15

From the question, we are to determine the value of x.

From the given information,

The length of the base of the isosceles triangle is x

Also,

The length of a leg is 4x - 3

Since, the length of the legs of an isosceles triangle are equal,

Then,

The length of the other leg is 4x - 3

Also, form the given information,

The perimeter of the triangle is 129

Thus,

x + 4x - 3 + 4x - 3 = 129

Now, solve for x

x + 4x - 3 + 4x - 3 = 129

Collect like terms

x + 4x + 4x = 129 + 3 + 3

9x = 135

Divide both sides by 9

9x/9 = 135/9

x = 15

Hence, the value of x is 15

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The variable x of the equation is 9.6.

An equation is a mathematical statement with an 'equal to' symbol between two expressions that have equal values.

We have to solve the equation for the variable x .

A variable is a number represented with a letter in an equation.

Therefore, let's find the variable x in the equation.

-8 + 2x - 9 + 3x - 10 = 21

combine the like terms

-8 + 2x - 9 + 3x - 10 = 21

- 8 - 9 - 10 + 2x + 3x = 21

-27 + 5x = 21

add 27 to both sides of the equation

-27 + 5x = 21

-27 + 27  + 5x = 21 + 27

5x = 48

divide both sides by 5

5x / 5 = 48  /5

x = 48 / 5

Therefore,

x = 9.6

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Answer:

To do percentages with fractions,

divide the numerator by denominator to get a decimal,

so for example, 12/40.

12/40 is 0.3 decimal, and then to make it percent,

we multiply by 100,

how does that work?

you move two places to the right because 100 has two zeros

so 0.3 would be 30,

therefore the percent of 12/40 would be 30%

number two same thing

33/60=0.55

0.55x100=55

so 55%

have a good day! <3

Answer:

Step-by-step explanation:

Equation of the line for the given graph in slope-intercept form is given by  y = 5x -1.

As given in the question,

From the given graph,

Consider pair of two coordinates we have,

(x₁ , y₁) = (1, 4)

(x₂ , y₂) = (0,-1)

Equation of the line for the given graph in slope-intercept form is given by:

(y -y₁) / (x -x₁)= (y₂ -y₁) / (x₂ -x₁)

⇒ ( y - 4)/ (x -1) = (-1-4)/(0-1)

⇒(y-4)/(x-1) = 5

⇒y-4 = 5(x-1)

⇒y = 5x -5 +4

⇒ y= 5x -1

Therefore, equation of the line for the given graph in slope-intercept form is given by  y = 5x -1.

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