solve the inequality and enter your solution as an inequality in the box below, using “<=“ for < or “<=“ for > if necessary. -2(5x+1)>48

Answer:

F(x) + 4 = 3x + 3

Step-by-step explanation:

F(x) = 3x - 1     |add 4 to both sides

F(x) + 4 = 3x + 3

[tex]\frac{38}{9} x = \frac{19}{27}[/tex]

[tex](27)\frac{38}{9} x = \frac{19}{27}(27)[/tex]

3(38)x = 19

      [tex]x = \frac{19}{3(38)}[/tex]

      [tex]x = \frac{1}{3(2)}[/tex]    

      [tex]x = \frac{1}{6}[/tex]  

Answer: [tex]x = \frac{1}{6}[/tex]  

12 = 2/3(x - 3)

Distributive property.

12 = 2/3x - 2

Add 2 to both sides.

14 = 2/3x

Multiply both sides by 3.

42 = 2x

Divide both sides by 2.

21 = x

The value of x is equal to 21.

The equation, twelve is the same as two-thirds a number diminished by two - True

To determine if twelve is the same as two-thirds of a number diminished by two, we can set up an equation. Let's represent the number as 'x.' According to the statement, twelve is equal to two-thirds of x diminished by two. Mathematically, this can be written as:

12 = (2/3)x - 2

To solve for x, we need to isolate it on one side of the equation. First, we can add 2 to both sides:

14 = (2/3)x

Next, we can multiply both sides by 3/2 to eliminate the fraction:

14 * (3/2) = x

21 = x

Therefore, the number in question is 21. To confirm, we can substitute x back into the original equation:

12 = (2/3)(21) - 2

12 = 14 - 2

12 = 12

Since the equation is true, we can conclude that the statement is True.

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Complete Question:

Twelve is the same as two-thirds a number diminished by two. True or False ?

D(2, –4) → D' = (-4, 2)

E(1, –1) → E'= (-1, 1)

F(5, 1) → F'=(1, 5)

What is the rule that describes a reflection across the line y = x?

rx = y(x, y)= (y, x)

The rule which describes a reflection across the line is y(x, y) --> (y, x)  and the mapping of the vertices of ΔDEF is (-4, 2)D',  (-1,  1)E' ,  (1,  5)F'.

The reflection of a plane or shape is flipping the original figure with respect to a reference line.

The following steps are used to for reflecting a shape-

The rule that describes a reflection across the line says that when your reflect a point across the line say y=x. Then the coordinates of x and y are interchanged as,

y(x, y) → (y, x)

Now let's complete the mapping of the vertices of ΔDEF using the above rule. For this, change the places of x and y coordinate as,

D(2, –4) → (-4, 2)D'

E(1, –1) →   (-1,  1)E'

F(5,  1) →     (1,  5)F'

Thus, the rule which describes a reflection across the line is y(x, y) --> (y, x)  and the mapping of the vertices of ΔDEF is (-4, 2)D',  (-1,  1)E' ,  (1,  5)F'.

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Answer: Option (A)1 more people marker and 1 more die.

Step-by-step explanation:

We have to pack expansion packs for the game of checkers in such a way such that there should be enough cards as per requirement.

So for that we have to find packs of each item by dividing each pack by part numbers and what is left after as remainder.

People marker =287 =6(47) + 5 ( as each pack of people marker contains 6 items)

6-sided die =143 = 3(47) + 2 (as each pack of 6- sided die contains 3 items)

Teleport-er marker=341 = 7(48) + 5 (as each pack contains 7 teleport-er marker)

So we can see that for 48th pack we have enough Teleport-er marker just we need  one People marker and one 6-sided die. which is option A.

Given the quantities of game components available, we can form 47 complete expansion packs. We can form another pack if we had 1 more 6-sided die and 1 more people marker. Thus, the correct answer is option A.

To answer the question, we first need to calculate how many complete expansion packs can be made with the available components:

Given the available quantities, we can make a total of 47 complete packs. However, we'd have enough components to complete one more pack if we had 1 more die and 1 more people marker. Therefore, the correct answer is option A.

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The ratio "3 to 4" can also be written as "3:4". Typically, though, we write it as "3/4" like a fraction. Those are the three main ways to write out ratios ( a to b, a:b, or a/b).

(20 hrs/1 wk)*(15 dollars/1 hr) = 20*15 = 300 dollars per week

There are 52 weeks in a year. If Leeann works all 52 weeks (ie no sick days, vacations, etc) then,

(52 weeks/1 yr)*(300 dollars/1 week) = 52*300 = 15600

Her yearly pay is $15,600

Answer:

$15,600

Step-by-step explanation:

Leeann works 20 hours per week and makes $15 per hour

Her weekly income = 20 × 15 = $300

In one year = 52 weeks

Therefore, her yearly pay = 300 × 52

                                          = $15,600

Leeann's yearly pay is $15,600

to find t he x intercepts factor the quadratic and set them = to 0

x^2 +6x+5 = 0

(x+5) (x+1)=0

x+5 = 0   x+1=0

x=-5   x=-1

the x intercepts are -5, x=-1

Answer:

-5 -1

Step-by-step explanation:

Answer:

w = -1.44 and w = -14.06

Step-by-step explanation:

That "(3) / (4)" in  (w+14)/(4w+6)=(3)/(4) looks fishy.  Assuming that you really meant 3/4, then we have   (w+14)/(4w+6)=3/4.

Mult. both sides by 4 to remove the fraction:  4(w+14)/(4w+6) = 3.

Multiply out (w+14)/(4w+6):  4w^2 + 6w + 56w + 84.  Combine the w terms, obtaining 4w^2 + 62w + 84.  Then the original equation becomes:

4w^2 + 62w + 84 = 3, or  4w^2 + 62w + 81 = 0.

This is a quadratic equation, with a = 4, b = 62 and c = 81.  The two roots (values of

w) are as follows:

        -62 plus or minus √(62^2-4(4)(81)

   ----------------------------------------------------------

                               8

         -62 plus or minus √(2548)           -62 plus or minus 50.48

w = -------------------------------------------   =  ---------------------------------------

                            8                                                  8

Simplifying, we get w = -1.44 and w = -14.06

To solve the algebraic equation (w+14)/(4w+6) = 3/4, we clear the fractions, combine like terms, and isolate the variable w, which gives us the solution w = 4.75.

To solve the equation (w+14)/(4w+6) = 3/4, we first clear the fractions by multiplying both sides by the least common denominator, which is 4(4w+6). This eliminates the denominators and gives us:

4(w + 14) = 3(4w + 6)

Distribute the 4 on the left side and the 3 on the right side:

4w + 56 = 12w + 18

Next, we want to get all the terms with w on one side and the constant terms on the other. Subtract 4w and 18 from both sides:

4w + 56 - 4w - 18 = 12w + 18 - 4w - 18

This simplifies to:

38 = 8w

Divide both sides by 8 to isolate w:

w = 38 / 8

Finally, simplify the fraction to find the value of w:

w = 4.75

Plug in 6 for x in the equation:

f(6) = 3(6) - 5

Remember to follow PEMDAS. First, multiply

f(6) = 3(6) - 5

f(6) = 18 - 5

Finally, subtract

f(6) = 18 - 5

f(6) = 13

f(6) = 13 is your answer

hope this helps

24.4-19.51= 4.89

Answer: 4.89 mm

I think the ratio is 182:10    

182/10 so every teacher will have about 18 students.

Hope this helps,im very sorry if it dont!!

Final answer:

To find the parallel line's equation, Audrey used the slope of 2/3 from the given line and the point (-6, -1) to write the equation in point-slope form, eventually simplifying it to y = 2/3x + 3.

Explanation:

Audrey is looking to find the equation of a line that is parallel to the line with the equation y = 2/3x - 5 and that passes through the point (-6, -1). Since parallel lines have the same slope, our new line will keep the slope of 2/3. Using the point-slope form of the equation of a line, we set up y - y1 = m(x - x1). Plugging in the known slope m and point (x1, y1), we get y - (-1) = 2/3(x - (-6)). After simplifying, we have y + 1 = 2/3x + 4. Finally, we solve for y by subtracting 1 from both sides, yielding the equation y = 2/3x + 3 as the line that is parallel to the original line and passes through the given point.

it is more because of the negative.

In mathematics, when dealing with negative numbers, the number closer to zero is greater. Thus, -6.809 is greater than -6.812 because it's closer to zero.

In the field of mathematics, when you're dealing with negative numbers, the number that is closer to zero is always greater. Here, we have the numbers -6.809 and -6.812. Looking carefully, -6.809 is closer to zero than -6.812. Hence, -6.809 is greater than -6.812.

Let's understand it with a simpler example. If we have -3 and -5, even though 5 is greater than 3, -5 is lesser than -3 because it's further away from zero.

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Answer:

The points of the dilated figure would be at (-2, 10), (2, 6), and (-8, 4); an image of the figure is attached.

Step-by-step explanation:

First we translate the center of dilation and figure so the origin becomes the center of dilation.

Since the point (2, 2) is our center of dilation, we must translate it left 2 and down 2 to make the origin the center; this means we map every point

(x, y)→(x-2, y-2)

The scale factor of 2 means that each point will be multiplied by 2; this gives us the rule

(x, y)→(2x-4, 2y-4)

Lastly we will translate the figure right 2 and up 2 to move it back to its original position; this gives us the rule

(x,y)→(2x-4+2, 2y-4+2) = (2x-2, 2y-2)

The first point in the original figure, at the top, is (0, 6).  Applying the transformation gives us

(0, 6)→(2*0-2, 2*6-2) = (0-2, 12-2) = (-2, 10)

The point on the right of the pre-image is (2, 4).  Applying the transformation rule gives us

(2, 4)→(2*2-2, 2*4-2) = (4-2, 8-2) = (2, 6)

The point on the left of the pre-image is at (-3, 3).  Applying the transformation rule, we have

(-3, 3)→(-3*2-2, 3*2-2) = (-6-2, 6-2) = (-8, 4)

Answer:

Here is the correct answer

Step-by-step explanation:

I hope this helps!

Answer:

The given equation is

ax b= 0,

As we see that, it is a linear equation in one variable containing two constant.

So , a≠ 0 [then equation has no meaning.If a=0 , then [tex]0 \times x=0[/tex], which is meaningless]. ∴ a=0 is incorrect.

Similarly , b≠ 0 [ Reason same as above]. ∴b=0 is incorrect.

⇒3 x=0

⇒x=0 is the correct response.

Let me explain by this giving an example

⇒5 x=0

⇒ x=0 but 5≠0

So, x=0 or 3 x=0 is correct response.

Answer:

(a)[tex]5n=3n+15[/tex]

(b)[tex]n=7.5[/tex]

Solution is not viable

Step-by-step explanation:

(a)

Total number of red ping pong balls[tex]=5[/tex]

Total number of red ping pong balls[tex]=n[/tex]

Now, probability of an event [tex]=\frac{Number of favourable events}{Total number of events}[/tex]

Then, theprobability of randomly choosing a blue ping pong ball is

[tex]=\frac{n}{n+5}[/tex]

Given that this probability is[tex]=\frac{3}{5}[/tex]

Thus, we have that,

[tex]\frac{n}{n+5}= \frac{3}{5}\\ 5n=3(n+5)\\5n=3n+15[/tex]

(b)

Solving, the above equation,

[tex]5n=3n+15\\2n=15\\n=7.5[/tex]

This solution is not viable as, number of ping pong ball must be an integer and not a decimal number.

First we find increase in weight

Increase in weight is =92-80 = 12

To find percentage increase in weight we use formula =( increase / actual) ×100

Percentage increase =( 12÷80)×100= 15 %

The answer is about 4%

It would be 20+8-(3x5).

to graph you have to look ate the first number and move forward or backwards on the x axis if it is negative move backward if it is normal move forward

for the y axis(second number) go up or down again if it is posative move up

if it is negative move down

P.S. move from ''0''

Answer:

B, A, C

Step-by-step explanation:

B has the largest angle of 73.677, A has the second largest of 55.345, and C has the smallest angle of 50.977

The order of the angles of the triangle from largest measure to smallest measure. will be ∠B, ∠A, and ∠C.

An angle measure is the measurement of the angle created by two rays or arms at a shared vertex in geometry. A protractor is used to measure angles in degrees (°).

Angle obtained from the triangle are;

∠B=73.6°

∠A= 55.345°

∠C =50.977°

As a result, the arrangement of the triangle's angles is from biggest to smallest measure. ∠B, ∠A, and ∠C will be the results.

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5/2 because its 2 times 2 plus one for the numerator and the denominator stays 2

Opposite integers are pairs of opposite sign, so the opposite integer to 2 is -2, 3 is opposite to -3, and so on.

Absolute value make any integer non-negative by removing its negative sign if there is any.

Absolute values of opposite integers are related in that they are *identical*

Any pair of opposite integers shares the same absolute value.

Lmk if you have questions.  

"Height h increased by 6" can be displayed as:

h + 6

The answer is:

28/4

42/6

56/8

Answer:

Step-by-step explanation:

From the graph, you can first see that there is a positive slope, and a negative y intercept. That should automatically rule out the first option.next, find the slop...

To do this take the two points that are given (2,5.5) and (5,15.25) and do rise over run. This would be (15.25-5.5)/(5-2). I just put this in a calculator and found the slope to be 3.25. You automatically know the answer because the only equation with the slope 3.25 is the third one.

The scatterplot shows the distribution of the students' spending habit

The equation of the trend line is: [tex]\mathbf{y = 3.25x -1}[/tex]

From the scatter plot (see attachment), we have the following points:

[tex]\mathbf{(x,y) = (2,5.5)\ (5,15.25)}[/tex]

So, the slope (m) of the trend line is:

[tex]\mathbf{m = \frac{y_2 - y_1}{x_2 - x_1}}[/tex]

This gives

[tex]\mathbf{m = \frac{15.25 - 5.5}{5- 2}}[/tex]

[tex]\mathbf{m = \frac{9.75}{3}}[/tex]

[tex]\mathbf{m = 3.25}[/tex]

The equation of the trend line is then calculated as:

[tex]\mathbf{y = m(x - x_1) + y_1}[/tex]

This gives

[tex]\mathbf{y = 3.25(x - 2) + 5.5}[/tex]

[tex]\mathbf{y = 3.25x - 6.5 + 5.5}[/tex]

[tex]\mathbf{y = 3.25x -1}[/tex]

Hence, the equation of the trend line is: [tex]\mathbf{y = 3.25x -1}[/tex]

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Answer:

x = 7

Step-by-step explanation:

Edginuity, got le question correct humans

Based on the expression given, the for x will be 7.

From the diagram given, we can see that the last expression that's given is 4x/3 = 28/3. The next thing that will be done in this case is to cross multiply and this will be:

4x/3 = 28/3.

Cross multiply

4x × 3 = 28 × 3

12x = 84

x = 84/12.

x = 7

Therefore, the value of x will be 7.

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