How do you write your answer as a mixed number fraction?

Answer:

x = 3

Step-by-step explanation:

2x + 12 = 18

The variable is "x" and to find the value of x we must get rid of everything on the left side of the equation.

We can easily do this by using inverse operations

To get rid of the 12, we subtract 12, because in the expression its adding and the inverse of addition is subtraction.

But remember whatever we do to one side we have to do to the other, so we subtract 12 from each side

12 - 12 cancels out

18 - 12 = 6

we now have 2x = 6

now we want to get rid of the 2

2x is the same as 2 times x which is multiplication

The inverse of multiplication is division, so to get rid of the 2 we divide each side by 2

2x / 2 = x

6 / 2 = 3

we're left with x = 3

Answer:

m=2

Step-by-step explanation:

-7+4m+10=15-2m

3+4m=15-2m

   +2m     +2m

3+6m=15

-3         -3

6m=12

/6      /6

m=2                                          

We can conclude by answering the provided question that expression As a result, b = 1 is not a valid substitute for b in the equation because it would set the denominator to zero and render the expression undefined.

An expression in mathematics is a collection of representations, numbers, and conglomerates that mimic a statistical association or routine. A real integer, a mutable, or a mix of the two can be used as an equation. Mathematical operators include addition, subtraction, fast spread, division, and exponentiation. Expressions are widely used in arithmetic, mathematics, and geometry. They are used in the depiction of mathematical formulas, the solving of equations, and the simplification of mathematical relationships.

The expression is as follows:

\(b^2 / (-7b + 7)\\-7b + 7 = 0\\b = 1\\\)

As a result, b = 1 is not a valid substitute for b in the equation because it would set the denominator to zero and render the expression undefined.

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Answer:

B because if you flip and redraw the triangle its the same triangle just dilated and rotated and placed within the other.

Step-by-step explanation:

Answer:

B because if you flip and redraw the triangle

Step-by-step explanation:

Answer:

$610,498.30

Step-by-step explanation:

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

4% = 0.04

P = 500 000(1+0.04/12)^(12*5)

P = 500 000 (1.003333)^60

P = 500 000 (1.220997)

P = $610 498.296971

The mean and standard deviation of the sample data in the table is 182 and 508 respectively.

To calculate the mean and standard deviation,

mean= E(x)

=  ∑x*f(x)

= 1(2) + 2(13) + 3(15)+4(11) + 5(13)

=2+26+45+44+65

=182

Standard deviation = E(x²)

=  ∑x²*f(x)) - E(x)

=1(2) + 4(13) + 9(15)+16(11) +25(13)  - E(x)

= 2 +52+135+176+325  - E(x)

=690 - 182   - E(x)

=508

The mean is the average of the values in the given set. It indicates that values in a particular data set are distributed equally.

The three most frequently employed measures of central tendency are the mean, median, and mode.

The total values provided in a datasheet must be added, and the sum must be divided by the total number of values in order to determine the mean. 

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Answer:

should be complementary angles

Answer:50

Step-by-step explanation:

Answer:

the box of 6 for 24 is better

Step-by-step explanation:

Answer:

Step-by-step explanation:

Equation can also be written as y = 1/3x + 2

Answer:

The answers would be =

A = (226.6 + 205.6 + 157.6) / 3 = 589.8 / 3 = (196.6)

B = (119.6 + 61.6 )/2 = 181.2/2 = 90.6

Answer:

24 : 15 : 20

Step-by-step explanation:

express ratios in fractional form and express b and c in terms of a

\(\frac{a}{b}\) = \(\frac{8}{5}\) ( cross- multiply )

8b = 5a ( divide both sides by 8 )

b = \(\frac{5}{8}\) a

also

\(\frac{b}{c}\) = \(\frac{3}{4}\) ( cross- multiply )

3c = 4b ( divide both sides by 3 )

c = \(\frac{4}{3}\) b = \(\frac{4}{3}\) × \(\frac{5}{8}\) a = \(\frac{5}{6}\) a

Then

a : b : c

= a : \(\frac{5}{8}\) a : \(\frac{5}{6}\) a ( multiply each part by 24, the LCM of 8 and 6 )

= 24a : 15a : 20a ( divide each part by a )

= 24 : 15 : 20 ← in simplest form

A graph which shows the relationship given in the table is: B. graph with the x axis labeled number of days and the y axis labeled total amount of sunglasses and a line going from the point 0 comma 56 through the point 1 comma 54.

In this scenario, the number of days would be plotted on the x-axis (x-coordinate) of the scatter plot while the total amount of sunglasses would be plotted on the y-axis (y-coordinate) of the scatter plot through the use of Microsoft Excel.

From the scatter plot (see attachment) which models the relationship between the number of days and total amount of sunglasses, a linear equation for the line of best fit is given by:

y = -2x + 56

In conclusion, we can reasonably infer and logically deduce that the y-intercept is equal to (0, 56).

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Answer: the fraction is 4over 12

Step-by-step explanation:

first you multiply the top and bottom number then u divide the number by the bottom.

Answer:

1/2

Step-by-step explanation:

If you were to multiply 1/2 by -50 you would get -25, which is greater than -50.

The same goes for 1/5, if you were to multiply 1/5 by -50, you would get -10.

Another example is 1/10 times -50, that would be -5.

Answer:

Almost equals 28°

Step-by-step explanation:

cos(x)= 12/18

x= cos^-1 (12/18)

So it equals 48.1896°

The angles that are 118 degrees are ∠1 , ∠3, ∠5 and ∠7.

When parallel lines are cut by a transversal line, angle relationships are formed such as corresponding angles, alternate interior angles, alternate exterior angles, vertically opposite angles etc.

Therefore, let's find the angle relationship in the line and find the angles that are 118 degrees.

Hence,

∠3 = 180 - 62 = 118 degrees(angles on a straight line)

∠1 ≅ ∠3 (vertically opposite angles)

∠7 ≅ ∠3 (alternate interior angles)

∠5 ≅ ∠7 (vertically opposite angles)

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Answer:

y=-1

x=-3

Step-by-step explanation:

The end-points of the line segment will be negative 1.25 and 0.25.

A number line refers to a straight line in mathematics that has numbers arranged at regular intervals or portions along its width. A number line is often shown horizontally and can be postponed in any direction.

The length of the line segment is 1.50 units and the midpoint of the line segment is negative 0.50. Then the end-points of the line segment are given as,

⇒ - 0.50 ± (1.50) / 2

Simplify the expression, then we have

⇒ - 0.50 ± (1.50) / 2

⇒ - 0.50 - (1.50) / 2, - 0.50 + (1.50) / 2

⇒ - 0.50 - 0.75, - 0.50 + 0.75

⇒ - 1.25, 0.25

The end-points of the line fragment will be negative 1.25 and 0.25.

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Answer:

The quotient of forty-two and six is seven.

The Broadway theater had 100 Orchestra, 220 main seat and 190 balcony seats.

An equation is an expression that shows the relationship between two or more numbers and variables.

Let x represent the number of Orchestra, y represent the main seat and z represent the balcony seat.

A Broadway theater has 510 ​seats, Hence:

x + y + z = 510    (1)

Also:

140x + 135y + 100z = 62700    (2)

And:

135y + 100z + (1/2)(140)x = 55700    (3)

From the three equations:

x = 100, y = 220, z = 190

The Broadway theater had 100 Orchestra, 220 main seat and 190 balcony seats.

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Answer:

1 3/8

Step-by-step explanation:

Well to find the average or the mean we need to add all the numbers,

3/8 + 2/4 + 5/8 + 7/8 + 1 1/8 + 1 5/8 + 1 7/8 + 4

= 11

Then we divide t by the number of numbers in the set.

11 ÷ 8 = 1 3/8

Thus,

the average in the set is 1 3/8.

Hope this helps :)

Answer:

0.388

Step-by-step explanation:

7/9 x 1/2 = 0.388

The equation of the parallel line is y = -3/5x + 5

The equation is given as

3x + 5y = 6

The point is also given as

Point = (0, 5)

The equation of a line can be represented as

y = mx + c

Where

Slope = m and c represents the y-intercept

So, we have

3x + 5y = 6

This gives

5y = -3x + 6

Divide

y = -3/5x + 6/5

By comparing the equations y = mx + c and y = -3/5x + 6/5, we have the following

m = -3/5

This means that the slope of y = -3/5x + 6/5 is -3/5

So, we have

m = -3/5

The slopes of parallel lines are equal

This means that the slope of the other line is -3/5

The equation of the parallel line is then calculated as

y = m(x - x₁) +y₁

Where

m = -3/5

(x₁, y₁) = (0, 5)

So, we have

y = -3/5(x + 0) + 5

Open the brackets and evaluate

y = -3/5x + 5

Hence, the parallel line has an equation of y = -3/5x + 5

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The algebraic expression for the sentence in this problem is given as follows:

n - (x + 8).

The sentence in this problem is given as follows:

"A number n minus the sum of the number and eight".

The sum of an unknown number x and eight is given as follows:

x + 8.

The subtraction of the number n by the expression is given as follows:

n - (x + 8).

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Answer:

posistive i think welp hope this helps :D

Step-by-step explanation:

Answer:

\( (\frac{3}{13}, -3) \)

Step-by-step explanation:

Apply the formula following formula to find the coordinate pair of the point that is 3/10 of the way from A(-3, -6) to B(11, 7):

\( x = \frac{mx_2 + nx_1}{m + n} \)

\( y = \frac{my_2 + ny_1}{m + n} \)

Where,

\( A(-3, -6) = (x_1, y_1) \)

\( B(11, 7) = (x_2, y_2) \)

\( m = 3, n = 10 \)

Finding the x coordinate:

\( x = \frac{mx_2 + nx_1}{m + n} \)

\( x = \frac{3(11) + 10(-3)}{3 + 10} \)

\( x = \frac{33 - 30}{13} \)

\( x = \frac{3}{13} \)

\( y = \frac{my_2 + ny_1}{m + n} \)

\( y = \frac{3(7) + 10(-6)}{3 + 10} \)

\( y = \frac{21 - 60}{13} \)

\( y = \frac{-39}{13} \)

\( y = -3 \)

The coordinates of the point 3/10 of the way from A to B are \( (\frac{3}{13}, -3) \)

Answer:

i don't know how to attach the file