The first two steps a student takes to solve the equation 2 (x-3) = 6x + 9 are shown. Step 1: Use the Distributive Property to distribute the 2. Step 2: Subtract 9 from both sides. What is most likely the next step they should take? Subtract 2x from both sides. Multiply both sides by 4. O O Add 2x to both sides. O Divide both sides by 4.​

Answer:

Below in bold.

Step-by-step explanation:

His total marks for the 4 tests

= 4*78

= 312,

For an average of 82% over 5 tests the total will have to be

82*5 = 410.

So, he needs to score 410 - 312

= 98% in his last test.

The number of stars in 100 billion galaxies in scientific notation is

3 x [tex]10^{22}[/tex].

Scientific Notation is the expression of a number in the form a x [tex]10^{b}[/tex]. where a is an integer such that 1 ≤ |a| < 10 and b is an integer too.

We have,

Number of stars in  our galaxy = 3 x [tex]10^{11}[/tex]

Number of galaxies in the observable universe = 100 billion.

1 billion = 1,000,000,000 = [tex]10^{9}[/tex]

Number of stars in 100 billion galaxies:

= 3 x [tex]10^{11}[/tex] x 100 x  [tex]10^{9}[/tex]

= 3 x [tex]10^{11 + 2 + 9}[/tex]

= 3 x [tex]10^{22}[/tex]

Thus the number of stars in 100 billion galaxies in scientific notation is

3 x [tex]10^{22}[/tex].

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Answer:

d. add 11 to both sides of the equation

Step-by-step explanation:

7x - 11 = 3

The first five terms of a geometric sequence with first term 2 and common ratio (-2) are 2, -4, 8, -16, 32

The given parameters:

a₁ = 2, r = -2

r is the common ratio, hence, the given sequence is a geometric sequence.

In a geometric sequence, the formula for the nth term is given by:

       a(n) = a(1) . rⁿ⁻¹

We can also find the terms using recursive formula. The nth term of a geometric sequence is equal to the (n-1)th term times the common ratio, r. Mathematically,

       a(n) = a(n -1) . r

Let us start from n = 1

a(1) = 2  (given)

a(2) = a(1) . r = 2 . (-2) = -4

a(3) = a(2) . r = -4 . (-2) = 8

a(4) = a(3) . r = 8 . (-2) = -16

a(5) = a(4) . r = -16 . (-2) = 32

Thus, the first five terms are 2, -4, 8, -16, 32

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Based on the percent gratuity to the florist and the cost being rounded to the nearest ten, the amount of the tip is $9

When the cost for the florist is rounded to the nearest 10, it goes from $94 to $90.

When the percentage gratuity is rounded to the nearest ten, it goes from 12% to 10%.

The approximate tip is:

= 10% x 90

= $9

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The equation of the line in slope-intercept form is y + 2 = (5 / 3) · (x + 5).

Linear equations are first order polynomials whose slope-intercept form is introduced below:

y - y₁ = m · (x - x₁)       (1)

Where:

And the slope of the line is determined by the secant line formula:

m = Δy / Δx                (2)

Now we proceed to determine the equation of the line in slope-intercept form:

m = [5 - (-5)] / [4 - (- 2)]

m = 10 / 6

m = 5 / 3

y + 2 = (5 / 3) · (x + 5)

The equation of the line in slope-intercept form is y + 2 = (5 / 3) · (x + 5).

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Answer:      302 degrees

Step-by-step explanation:

Answer:

The answer is 4x+(any number other than 4)

Step-by-step explanation:

If there are no solutions, then the equation will be equal to 4x + (any number other than 4).

Examples: 4x + 1, 4x + 2, 4x + 3

The line of best fit for pork production in China in x years after 2000 is given by:

y = 2053.17x + 39758.67.

The values of the table are missing, and are given as follows:

To find the equation, we need to insert the points (x,y) in the calculator.

For this problem, we insert the points (Year - 2000, Production) given in the table, and the line of best fit, using a calculator, is given by:

y = 2053.17x + 39758.67.

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The formula for the temperature in ºC is:

[tex]C = \frac{5}{9}(F - 32)[/tex]

As shown in the problem, the rule is as follows:

F(C) = 9C/5 + 32.

We want to find the temperature in Celsius given the Fahrenheit temperature, hence we have to solve for C the above formula, hence:

9C/5 = F - 32

9C = 5(F - 32)

C = 5/9(F - 32).

For better notation I will use Latex, as follows:

[tex]C = \frac{5}{9}(F - 32)[/tex]

The above formula is the formula for the temperature in ºC.

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the horizontally shrunk function by a scale factor K = 3 is modeled by:

g(x) =  |3*x| + 5

For any function f(x), we define a horizontal shrink or compression by a scale factor K as:

g(x) = f(K*x)

In this case the function is:

f(x) = |x| + 5

And the scale factor is K = 3.

Then we can write the compression as:

g(x) = f(3*x)

Replacing the actual function we will get:

g(x) = f(3*x) = |3*x| + 5

Then the horizontally shrunk function by a scale factor K = 3 is modeled by:

g(x) =  |3*x| + 5

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Step-by-step explanation:

first find the answer of 7^2 and swap it then it will be 1 over 49 multiply with 1 over 7^6

1.9 > √3 > 5/4 > -1.2 are in the order from no. greatest to least.

1.9  > √3 = 1.732 > 5/4 = 1.25 > -1.2

To solve linear equations, utilize the steps that are provided below.

Lets take an example of solve z for 7z – (3z – 4) = 12

Here is no multiplication or division, so this will be easy to solve

⇒ 7z – (3z – 4) = 12

⇒ 7z – 3z + 4 = 12

⇒ 4z = 12 – 4

⇒ 4z = 8

⇒ z = 8/4

⇒ z = 2

See, that was so simple, using the mentioned methods, every linear equation can be solved easily.

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To make a computation easier, you adjust one number and alter another number in the problem is called compensation.

Compensation is a multi-digit addition mental math technique that entails adjusting one of the operand to make the equation simpler to solve.

Some examples of compensation are-

Thus, this method is used in solving with simpler form.

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Answer:

53degree

82+45=127

We know

There is 180 degree in the angle

For the missing value

180-127= 53

Answer:

Answer is in the attached screenshot! :)

Step-by-step explanation:

Please let me know if you have any questions! :)

Answer:

subtract 4from each side

The algebraic expression (z+0)+y+0 is equivalent to (z+y) by the identity property of addition.

An algebraic expression is a simple and random combination of  constants and variables .

An expression constructed using integer constants, variables, and algebraic operations is known as an algebraic expression in mathematics (addition, subtraction, multiplication, division and exponentiation by an exponent that is a rational number).

The identity property of addition states that when a constant number is added to zero the value of the expression remains the same.

Since the absolute value of 0 is nothing so adding or subtracting zero from a constant does not change the value of the constant.

I.e, g+0=0 here the value of g does not change.

Given (z+0)+y+0

We know from the identity property of addition:

z+0=z and y+0=y

Therefore the value of the expression is (z+y) .

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Answer:

I would say it's 8 because if the y=8 so if 8 is there you times it by 2 to get 16 so now you get 2 from x the exponent is 4 so 4x2 is 8 so 16-8=8 if that's wrong it's probable -8 because I haven't done exponents in a long time

Answer:

It would be at the coordinates 4,5

Step-by-step explanation:

Answer:

x=7

Step-by-step explanation:

The equation of line which contains points (2,4) and (0,-2) will be y = 3x - 2.

It is given that a line contains points (2,4) and (0,-2).

We have to find out the equation of the line.

What is the equation of line in slope intercept form ?

The equation of line in slope intercept form is y = mx + c , where m is the slope and c is the y-intercept.

As per the question ;

Line contains points (2,4) and (0,-2)

We know that slope intercept form of line is ;

y = mx + c

∴  (2,4) and (0,-2) must satisfy the equation because the line contains them.

So ,

For x = 2 and y = 4 ;

the equation y = mx + c becomes ;

4 = 2m + c ------ ------ ------ ---- (1)

Also ;

For x = 0 and y = -2 ;

the equation y = mx + c becomes ;

-2 = 0 + c

or

c = -2

Put the value of c in equation 1 ;

i.e.,

4 = 2m - 2

2m = 6

or

m = 3

So ,

the equation of line which contains points (2,4) and (0,-2) will be ;

y = (3 × x) - 2

y = 3x -2

Thus , the equation of line which contains points (2,4) and (0,-2) will be y = 3x - 2.

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The equation of the proportional relationship in the table attached below is: y = 40x.

Equation of a proportional relation is modelled as, y = kx. k = y/x, using any pairs of values for a given table. If the table is represents a proportional relationship, y/x for every pair of values would be the same.

Distance in miles = y

Time in hours = x

k = y/x = 80/2 = 120/3 = 160/4 = 40.

The relation represented by the table is proportional because y/x is the same for all pairs of values.

Substitute k = 40 into y = kx

y = 40x.

Thus, the equation of the proportional relationship in the table attached below is: y = 40x.

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The angles D and F are not congruent angles.

According to the statement

We have to find that the not a pair of congruent angles.

So, For this purpose, we know that the

Congruent angles are two or more angles that are identical to each other. Thus, the measure of these angles is equal to each other. The type of angles does not make any difference in the congruence of angles

From the given information:

In this diagram we have to given the four angles which are E,F,G,D.

And out of these angles

The angles E and G are the congruent angles and the angles D and F are not congruent because according to the definition these angles are not follow the conditions of the congruent angles.

So, The angles D and F are not congruent angles.

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Answer:

angle TEA = 58 (which is 29 times 2) degrees

angle TEF = 37 (which is 74 divided by two 2) degrees

Step-by-step explanation:

The angle bisector divides a given angle into two equal parts

The sum of the first ten terms of any Fibonacci-like sequence is 88.

The Fibonacci numbers, sometimes known as Fn in mathematics, are a series. Each number in the Fibonacci sequence is composed of the sum of the two numbers before it. Typically, the sequence begins with 0 and 1.

means

0+1 = 1

1+1 = 2

1+2 = 3

2+3 = 5,like this.

The Fibonacci sequence includes the numbers 0, 1, 1, 2, 3, 5, 8, 13, 21 and so on.

Sum = 0 + 1 + 1 + 2 + 3 + 5 + 8 + 13 + 21 + 34 = 88 is what we get when we add up the numbers in the series.

The first ten Fibonacci numbers sum is 88.

Hence, The sum of the first ten terms of any Fibonacci-like sequence is 88.

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The probability that the point of the spinner land on blue is 8.34%.

A pie chart is a type of chart that shows data in a circular graph.

We recognise that the pie's total value is always 100%. It is additionally recognized that a circle has a circumference of 360°. As a result, the sum of all the data equals 360°. Depending on these, there seem to be two main pie chart formulas:

On complete rotation of circle forms 360 degrees at the centre.

The total percentage of the all the colours is 100%.

Divide the value of blue by 3.6 because 360 degrees /100 percent = 3.6.

The total percentage of blue shown by the pointer of spinner is 30%.

Probability P (pointer landing on blue) = 30/3.6

Probability P (pointer landing on blue) = 8.333... = 8.4 (approx.)

Therefore, the probability that the pointer lands on the blue is 8.4.

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Answer:

Yes, Triangle A

Step-by-step explanation:

Answer:

0.916...miles per hour

Step-by-step explanation:

speed = distance/ time

12:30 - 7:30 = 5hours

275/ 5x60

275/300

=0.9166666667 miles per hour

( you can round this depending on whether it's to the nearest mile or 3 sf or something)

hope this works :)