Simplify the expression where possible. (picture below)

Answer:

2.33333333333333333 (two point repeating three)

Answer:

The correct answer is x = 2/3.

Step-by-step explanation:

To solve this problem, the first step I would take is multiply both sides by 2.  This will allow us to get rid of the fraction on the left side of the equation and make it easier to solve.  This is modeled below:

3/2(6x + 4) = 12

3(6x +4) = 24

Next, we can use the distributive property on the left side of the equation to get rid of the parentheses.

18x + 12 = 24

Then, we can subtract 12 from both sides of the equation.

18x = 12

Finally, we can divide both sides by 18 and simplify.

x = 12/18 = 2/3

Therefore, the correct answer is x =2/3.

Hope this helps!

Answer:

it is a rational number.

Step-by-step explanation:

It is read as seven tenths and is equivalent to the fraction 7/10. Since it can be written as a fraction, it is rational.

Answer:

[tex]x=\frac{-q}{s}[/tex]

Step-by-step explanation:

[tex]a-q=a+sx\\a-a-q=a-a+sx\\-q=sx\\\frac{-q}{s}=\frac{sx}{s}\\x=\frac{-q}{s}[/tex]

Answer: linear/first degree

Step-by-step explanation:

 (6-t-t^4)+(9t+t^4)

=6-t-t^4+9t+t^4

=8t+6

The degree of a polynomial is determined by the highest degree in the polynomial. The highest degree in this binomial is one, which is first degree or known as linear.

Hope this helps!! :)

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Answer:

the mark-up is $10 or 20% of the original price.

Step-by-step explanation:

This is because 60-50 is 10. And 20% or 1/5 of 50 is 10.

Answer:

5

Step-by-step explanation:

This is because she cannot buy 5.91 pairs of shoes and she doesn't have enough money to buy exactly 6, so you must round it down to 5.

She can buy a maximum of 5 shoes with her money.

The procedure of utilizing logical reasoning to analyze a condition to determine the best problem-solving approach for a particular issue, then using this approach to create and explain a resolution.

In another word, reasoning is a tricky but interesting problem in mathematics that required relations of variables to solve.

Given that,

Shelly has money to buy 5.91 pairs of shoes.

Now,

Shoes are a whole quantity it will never come in fractions or decimals.

So,

We need to write 5.91 either 5 or 6

Now,

If we write it 6 then we do have not sufficient money but if we write 5 then we have money although some amount will be left still, she can buy 5 shoes.

Hence "She can buy a maximum of 5 shoes with her money".

For more about reasoning,

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Answer:

5.66

Step-by-step explanation:

it would round up to 5.66

Answer:

y intercept

Step-by-step explanation:

The point in which the graph crosses the x-axis is called the x-intercept and the point in which the graph crosses the y-axis is called the y-intercept.

Answer:

D

Step-by-step explanation:

You should know this its not hard

Answer:

112

Step-by-step explanation:

Answer:

Area = (x² + 11x + 24)

Step-by-step explanation:

Area of the blue square with sides 'x' units = (Side)²

                                                                       = x²

Area of the pink rectangle = Length × width

                                            = 3 × (x)

                                            = 3x

Area of the orange rectangle = Length × Width

                                                 = 8 × 3

                                                 = 24

Area of the green rectangle = Length × width

                                               = (x) × 8

                                               = 8x

Now total area of the entire rectangle = x² + 3x + 24 + 8x

                                                                = (x² + 11x + 24)

Therefore, area of the entire rectangle will be a polynomial (x² + 11x + 24)

Answer:

The rule for the plotted line is [tex]y = \left | x - 50 \right |[/tex]

Step-by-step explanation:

The coordinates when y = 0, x = 50

When y = 10, x = 60

Therefore, the slope = (10 - 0)/(60 - 50) = 1

The equation in slope and intercept form is y - 10 = 1 × (x - 60)

y = x -60 + 10 = x -50

y = x - 50

Also, we have

When y = 20, x = 30

y = 10, x = 40

Therefore, the slope = (10 - 20)/(40 - 30) = -1

The equation in slope and intercept form is y - 10 = -1 × (x - 40)

y = -x + 40 + 10

y = 50 - x

Therefore, when x < 50, y = 50 - x

When x > 50, y = x - 50

Which is equivalent to [tex]y = \left | x - 50 \right |[/tex]

The rule for the plotted line is [tex]y = \left | x - 50 \right |[/tex]

1). Slope = (-2)

2). Midpoint = (2, -2)

3). Slope of the perpendicular bisector = (1/2)

4). Equation of perpendicular bisector will be x - 2y = 6

Step-by-step explanation:

A line segment has the endpoints at (4, -6) and (0, 2).

1). Then the slope of the given line segment will be = (y - y')/(x - x') = (2 + 6)/(0 - 4) = 8/(-4) = (-2)

2). Mid point of the line segment is given by

Therefore midpoints of the line segment will be  = (2, -2)

3). Slope of the perpendicular bisector is represented by

⇒ (-2)×m2 = (-1)

⇒

4). Now we have to find the equation of perpendicular bisector passing through (2, -2) and slope (1/2).

Since standard equation of the line will be given as y = mx + c

passes through (2, -2).

c = (-1) - 2 = -3

Finally the equation of perpendicular bisector will be

⇒ 2y = x - 6

⇒ 2y - x = -6

⇒ x - 2y = 6

Answer:

D

Step-by-step explanation:

The tangent- tangent angle x is half the difference of the intercepted arcs.

The sum of the 2 arcs on the circle = 360°, thus

lower arc = 360° - 243° = 117°, then

x = [tex]\frac{1}{2}[/tex] (243 - 117)° = 0.5 × 126° = 63°

Answer:

The answer is below

Step-by-step explanation:

The question is not complete, what are the coordinates of point Q and R. But I would show how to solve this.

The location of a point O(x, y) which divides line segment AB in the ratio a:b with point A at ([tex]x_1,y_1[/tex]) and B([tex]x_2,y_2[/tex]) is given by the formula:

[tex]x=\frac{a}{a+b}(x_2-x_1)+x_1\\ \\y=\frac{a}{a+b}(y_2-y_1)+y_1[/tex]

If point Q is at ([tex]x_1,y_1[/tex]) and S at ([tex]x_2,y_2[/tex])  and R(x, y) divides QS in the ratio QR to RS is 3:5, The coordinates of R is:

[tex]x=\frac{3}{3+5}(x_2-x_1)+x_1=\frac{3}{8}(x_2-x_1)+x_1\\ \\y=\frac{3}{3+5}(y_2-y_1)+y_1=\frac{3}{8}(y_2-y_1)+y_1[/tex]

Let us assume Q(−9,4) and S(7,−4)

[tex]x=\frac{3}{8}(7-(-9))+(-9)=\frac{3}{8}(16)-9=-3\\\\y=\frac{3}{8}(-4-4)+4=\frac{3}{8}(-8)+4=1[/tex]

Answer: It’s 2.6

Step-by-step explanation:

========================================================

Explanation:

The graph goes uphill as you read from left to right over the interval 0 < t < 3. This means t is between 0 and 3. So the graph is increasing over this interval. The same applies for the interval 14 < t < 18 as well.

The graph goes downhill we we are between t = 3 and t = 14, so that's why the graph is decreasing on the interval 3 < t < 14.

The local min is the lowest point of the graph. For sine functions like this, they occur infinitely many often. But we're restricting to just one cycle (so to speak) and we only have one local min at (t, V) = (14, 1). So that explains the answer to part E. The answer to part D is similar but we're looking at the highest point this time at (3,7)

As for part F, it seems like your teacher made a typo because the graph is neither at the highest nor the lowest point when t = 18. The graph is right in the middle instead.

Given that the temperature of a town was 4ºF without the wind, and later 10ºF below zero with the wind, the distance between the two temperatures of the town on a number line is: 14 units.

The record of temperature of the town can be illustrated or plotted on a number line as shown in the diagram attached below.

The temperature of the town at 4ºF will be located 4 units away from point zero on the number line.

The temperature of the town at 10ºF below zero will be located 10 units away from point zero on the number line.

Thus the distance between these two temperatures will be:

Therefore, given that the temperature of a town was 4ºF without the wind, and later 10ºF below zero with the wind, the distance between the two temperatures of the town on a number line is: 14 units.

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Answer:

1/81

Step-by-step explanation:

3^-4 = -81

Put this in a fraction: 1/81

Hope this helps you!

Answer:

B Is the right one that the answer

Answer:

C

Step-by-step explanation:

Square root of 92 is 9.591663047

so round that to 9.59

Answer: 5,280

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given a triangle with side lengths s1, s2 and s3, the perimeter of the triangle in centimetre is expressed as the sum of all the sides of the triangle i.e

Perimeter of a triamgle = s1+s2+s3

Given the sides of the triangle in question as (1.4u+9.6) centimeters, (4.3u-9.9)centimeters, and (5.3v+1.8) centimeters, the perimeter of the triangle will be the sum of all the functions as shown;

Let s1 = (1.4u+9.6)cm

s2 = (4.3u-9.9)cm

s3 = (5.3v+1.8) cm

Perimeter of the triangle = 1.4u+9.6 + 4.3u-9.9 + 5.3v+1.8

collect like terms

P =  1.4u+ 4.3u+5.3v+9.6-9.9 +1.8

P = 5.7u+5.3v+1.5

Hence the expression that represents the perimeter of the triangle is 5.7u+5.3v+1.5

Answer:

x=1/5

Step-by-step explanation:

Answer:

The answer is $270

Step-by-step explanation:

Answer:

A Fraction

Step-by-step explanation:

33/3 is a fraction because it consists of a numerator and a denominator.