2/3x - 2= 7 how do I solve it as a mixed number can someone help me please.

Answer:

[tex]y<0.5x-3[/tex]

Step-by-step explanation:

Find the equation of the dashed line

The line pass through the points

[tex]A(0,-3)[/tex] -----> is the y-intercept of the line

[tex]B(6,0)[/tex]

Find the slope of the line m

The formula to calculate the slope between two points is equal to

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

substitute the values

[tex]m=\frac{0+3}{6-0}=0.5[/tex]

Remember that

The equation of the line into slope intercept form is equal to

[tex]y=mx+b[/tex]

we have

[tex]m=0.5[/tex]

[tex]b=-3[/tex]  

substitute

[tex]y=0.5x-3[/tex]

Find the inequality

we know that

The solution of the inequality is the shaded area below the dashed line

so

[tex]y<0.5x-3[/tex]

Answer:

There's not enough information here to complete this problem.

Step-by-step explanation:

Answer:

120

Step-by-step explanation:

i got it right i took the lesson

Answer:1/4

Step-by-step explanation:

- Divide the numerator and the denominator by 625

- Divide the numbers

- YOUR FINAL ANSWER

Hope I was able to satisfy your needs

Answer:

[tex]\frac{1}{4}[/tex]

Step-by-step explanation:

[tex]\frac{625}{2500}[/tex] [tex]\frac{/5}{/5}[/tex] = [tex]\frac{125}{500}[/tex] [tex]\frac{/5}{/5}[/tex] = [tex]\frac{25}{100}[/tex] [tex]\frac{/5}{/5}[/tex] = [tex]\frac{5}{20}[/tex] [tex]\frac{/5}{/5}[/tex] = [tex]\frac{1}{4}[/tex]

or

divide [tex]\frac{625}{2500}[/tex] by 625 numerator and denominator and get the same answer, [tex]\frac{1}{4}[/tex]

the slash[ / ]means to divide

plz give a brainliestttt

Answer: b. 0.5

Step-by-step explanation:

We area given that the probability of outcomes A = 0.5

We know that for any event Q the probability of not getting Q is given by :-

[tex]P(Q)'=1-P(Q)[/tex]

Now, the probability of getting outcomes not A is given by :-

[tex]P(A)'=1-P(A)\\\\\Rightarrow\ P(A)' =1-0.5\\\\\Rightarrow\ P(A)' =0.5[/tex]

Hence option B is correct.

Yes the graph is a parabola

In mathematics, a parabola is a plane curve that is mirror-symmetrical and is approximately U-shaped. The trajectory of a projectile always shows parabolic path. The shape of car headlights, mirrors in reflecting telescopes and television and radio antennae are examples of the applications of parabolas.

1.  cos (angle) = adjacent leg / hypotenuse

cos(50) = 10/X

x = 10/cos(50)

x = 15.6 feet  

2.

tan(angle) = Opposite leg / adjacent leg

tan(5.5) = 600/x

x = 600/tan(5.5)

x = 6,231.2 feet.

Answer:

3 hours

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Basically (f+g)(x) = f(x)+g(x).

Following this rule you combine like terms.

7x-2x=5x and 10+5 = 15.

Therefore the answer is C.

Answer:

8 items per bad

Step-by-step explanation:

30% are green and hold an average of 10,

20% are yellow and hold an average of 5

50% are blue and hold an average of 8,

all together they hold an average of ...

[0.3(10) + 0.2(5) + 0.5(8)]

[ 3 + 1 + 4] = 8 items on average

Say there's 10 total gift bags given out, then

3 of them will be green, each with 10 items for a total of 30 items,

2 of them will be yellow, each with 5 items, for a total of 10 items,

5 of them will be blue, each with 8 items, for a total of 40 items.

All together there are 10 bags, and 80 items, for an average of

80/10 = 8 items per bag

These numbers will stay the same no matter how many bags are given out

To calculate the average number of items in all gift bags, the weighted average of items per color category based on their percentage distribution is computed, resulting in an overall average of 8 items per bag.

The question asks to calculate the average number of items in all the gift bags given the percentages of green, yellow, and blue bags and their respective average items. To find the overall average, we can weight each average by the percentage of bags of that color.

Here is the calculation:

Summing these amounts gives us the overall average:

3 (from green bags) + 1 (from yellow bags) + 4 (from blue bags) = 8 items per bag on average.

Answer:

yes

Step-by-step explanation:

the correct answer is 2 after rounding it off to the nearest number

18-12.7, 5.3 centimeters have been used

Answer- 5.3 cm

Step-by-step explanation:

18-12.7

I think the answer is y < 15, is this what your looking for?

Answer:

Brown, purple, Green and Red/Pink

Step-by-step explanation:

The equations are equal where they intersect on the graph. There are 4 points at which the to graphs intersect. They intersect at the points colored brown, purple, green and red.

Answer: [tex]k=-\frac{2}{3}[/tex]

Step-by-step explanation:

By definition, a direct varition is expressed as following:

[tex]y=kx[/tex]

 Then, y is directly proportional to x and k is the constant of variation.

Therefore, given the direct variation:

[tex]4x=-6y[/tex]

You must solve for the variable y as you can see below:

[tex]4x=-6y\\\\y=-\frac{4}{6}x\\\\y=-\frac{2}{3}x[/tex]

Therefore, as you can see,  the constant of variation is the following:

[tex]k=-\frac{2}{3}[/tex]

Answer:

-a+5b

Step-by-step explanation:

(-2)x(2a-b)+3(a+b)

Multiply

Remove Parenthesis

-2(2a-b)+3a+3b

Multiply parenthesis by -2

-4a+2b+3a+3b

collect like terms

-a+5b

➷ Adjacent angles total to 180 degrees

15x + 1 + 13x + 3 + 64 = 180

28x + 68 = 180

Subtract 68 from both sides:

18x = 112

Divide both sides by 28:

x = 4

Substitute this value back in:

15(4) + 1 = 61

Angle VTS = 61 degrees

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ ♡

The angles in a triangle are equal to 180 degrees

Keeping in mind alternate angles are always equal we can say that ∠TVU=∠VTS

So we can find ∠TVU which is equal to [tex]15x+1[/tex]

In order to  find the angle we need the value of x

[tex]13x+3+15x+1+64=180[/tex]

Simplify

[tex]28x+68=180[/tex]

Isolate x

[tex]28x=180-64\\28x=112\\x=\frac{112}{28}\\x=4[/tex]

Now that we have the value of x we can substitute in [tex]15x+1[/tex]

[tex]15(4)+1\\=60+1\\=61[/tex]

With ∠TVU being 61 degrees, ∠VTS is also 61 degrees as they are alternate angles

Hope this helps :)

If you need further help, just let me know, I would be happy to help :)

Answer:

Option A is correct answer.

Step-by-step explanation:

Per hour wage = $8.55

Number of hours in a week = 15

So, total pay of the week is = [tex]8.55\times15=128.25[/tex]

The biweekly salary becomes = [tex]128.25\times2=256.50[/tex]

Deductions are as follows:

FICA (7.65%), [tex]0.0765\times256.50=19.62[/tex]

Federal tax withholding (10.4%), [tex]0.104\times256.50=26.67[/tex]

State tax withholding (7.7%), [tex]0.077\times256.50=19.75[/tex]

Now adding all the deductions we get:

[tex]19.62+26.67+19.75=66.04[/tex]

Subtracting the deductions from the biweekly pay we have =

[tex]256.50-66.04[/tex]= $190.46

Close to option A. Hence, option A is correct.

Answer:

(4,-6)

Step-by-step explanation:

4x+y = 10

We know y = -6

Substitute it in

4x -6 = 10

Add 6 to each side

4x-6+6 = 10+6

4x =16

Divide by 4

4x/4 = 16/4

x =4

The answers might be B and C.

Answer:

B and C

Step-by-step explanation:

B has 4 equal parts easy. C is a more reasonable answer because a has NO equal parts.

Answer:

[tex]\boxed{\bold{\frac{m^2}{\left(m+n\right)\left(m-n\right)}}}[/tex]

Step-by-step explanation:

Factor [tex]\bold{m^2-n^2}[/tex]

[tex]\bold{\left(m+n\right)\left(m-n\right)}[/tex]

Rewrite Equation

[tex]\bold{\frac{m^2}{\left(m+n\right)\left(m-n\right)}}[/tex]

Answer:

[tex]\frac{m^2}{(m+n)(m-n)}[/tex]

Step-by-step explanation:

Here we have to simplify the denominator of the expression given in the question.

We will use the formula for

Difference of the squares which us given as under

[tex]a^2-b^2=(a+b)(a-b)[/tex]

Let us now simplify the denominator

[tex]m^2-n^2=(m+n)(m-n)[/tex]

Hence

Our answer is

[tex]\frac{m^2}{(m+n)(m-n)}[/tex]

Answer:  G

Step-by-step explanation:

(x, y) → ([tex]\frac{1}{8}x[/tex], [tex]\frac{1}{8}y[/tex])

means that the new quadrilateral will be [tex]\frac{1}{8}[/tex] the size of the original quadrilateral, so it will be smaller because the it maps to a fraction that is less than 1.

Answer: The second one

Step-by-step explanation:it's the second one because the line goes strait through the orign

Answer:

117π or 367.56634047

Step-by-step explanation:

Volume = π × r² × h          (r=radius and h=height)

Volume = π × 4² × 13

Volume = π × 9 × 13

Volume = π × 117

Volume = 117π

Answer:

x is the price of the meal

(1+0.0825 + 0.18) is the total percentage on top of the price he pays with sales tax and tip.

Step-by-step explanation:

The factor x is the price of the meal. The factor (1 + 0.0825 + 0.18) is the 100% of the price, the sales tax on that price and the tip on the total. 1 + 0.0825 + 0.18 = 1.2625 is the total percentage he pays on the price. He pays 26.25% in addition of the price of the meal to cover tax and tip.

Thus, the correct rule that represents the dilation applied to trapezoid ABCD to create A'B'C'D' is:

C. [tex]\( (x, y) \to (2x, 2y) \)[/tex]

The image shows a trapezoid ABCD that has been dilated to form a trapezoid A'B'C'D'. We need to determine which rule represents the dilation applied to trapezoid ABCD to create A'B'C'D'.

To find the rule, we can follow these steps:

1. Choose a Corresponding Point: Pick a point from the original figure and its corresponding point in the dilated figure.

2. Calculate Scale Factor: Determine the scale factor by comparing the distances of the chosen points from the origin.

3. Formulate the Rule: The rule for dilation with respect to the origin is given by [tex]\( (x, y) \to (kx, ky) \)[/tex], where [tex]\( k \)[/tex] is the scale factor.

Looking at the grid in the image:

- Point B has coordinates (-2, -3).

- Point B' has coordinates (-4, -6).

The coordinates of B' are exactly double those of B, indicating that every coordinate is scaled by a factor of 2. This fits the dilation rule of [tex]\( (x, y) \to (2x, 2y) \).[/tex]

Thus, the correct rule that represents the dilation applied to trapezoid ABCD to create A'B'C'D' is:

C. [tex]\( (x, y) \to (2x, 2y) \)[/tex]

This means the rule for the dilation is to multiply both the x and y coordinates by 2, which is the scale factor for the dilation.

The fraction of 1/12 or .08333333

Answer:

Option D) [tex]y=-3x+10[/tex]

Step-by-step explanation:

General form of linear function : [tex]y=mx+c[/tex]

Option A ) [tex]y=\frac{16}{x}[/tex]

Since this function cannot be represented as general form of linear function.

Thus it is not a linear function.

Option B)[tex]y=3x^2-1[/tex]

It is a quadratic function .

Option C) [tex]x=3[/tex]

Since this function cannot be represented as general form of linear function.

Thus it is not a linear function.

Option D) [tex]y=-3x+10[/tex]

Since it is represented in the general form of linear function.

So,  [tex]y=-3x+10[/tex] is a linear function.

A linear function is represented by an equation of the form y = mx + b, where 'm' is the slope and 'b' is the y-intercept. It is called linear because its graph forms a straight line.

In mathematics, a linear function is a function that has a graph in the shape of a straight line. This means it follows a consistent rate of change, often represented by the slope of the line (known as 'm' in an equation). An example of an equation that represents a linear function is:

y = mx + b

Where:

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