Michael solved this inequality as shown:

Step 1: -6(x + 3) + 10 < -2
Step 2: -6x − 18 + 10 < -2
Step 3: -6x − 8 < -2
Step 4: -6x < 6
Step 5: x > -1

What property justifies the work shown between step 3 and step 4?

A.
transitive property
B.
division property of inequality
C.
distribution property
D.
addition property of inequality

The true statements from the given information are:

From the two-way frequency table of the dataset, we have the following highlights

From the above highlight, we can conclude that options (b) and (c) are correct

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Answer:

B, C, E on edge2022

Step-by-step explanation:

Answer:

The value of a is 7.

Step-by-step explanation:

To calculate mean, add all of the numbers in the set and divide by the number of terms in said set. There are 7 numbers in this set, so the equation can be set up as follows.

(4 + 10 + 3 + 6 + a + 9 + 10)/7 = 7

Simplify the terms on the top.

(42 + a)/7 = 7

Multiply both sides by 7.

42 + a = 49

Subtract both sides by 42.

a = 7.

Proof:

(4 + 10 + 3 + 6 + a + 9 + 10)/7 = 7

Substitute variable.

(4 + 10 + 3 + 6 + 7 + 9 + 10)/7 = 7

Add in the parenthesis.

49/7 = 7

Divide.

7 = 7.

9000 ways to create 4-digit passwords using digits from 0 to 9 that the first character can't be 0, but not using the digit 0 as the first character.

We have to see how many different 4-digit passwords we can create by using digits from 0 to 9, such that the first character can't be 0.

Each of the different groups or selections can be formed by taking some or all of a number of objects, irrespective of their arrangments is called a combination.

Here we have 4 selections.

Now let's find the number of options for each of these:

First character = 9 options {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

Second character = 10 options {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

Third character = 10 options {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

Fourth character = 10 options {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

The total number of different combinations is just the product of these 4 numbers:

C = 9×10×10×10 = 9,000

So, we can conclude that the correct option is D.

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Answer:

d

Step-by-step explanation:

trust

Answer:

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

Step-by-step explanation:

Step 1.  Put each term in [tex]3x-\frac{1}{2}[/tex] over the common denominator 2.

[tex]\frac{6x}{2}-\frac{1}{2}[/tex]

Therefore we have [tex](\frac{6x}{2}-\frac{1}{2})=4[/tex]

Step 2.

Combine [tex]\frac{6x}{2}-\frac{1}{2}[/tex] into a single fraction.

[tex]\frac{6x-1}{2}[/tex]  

Therefore we have [tex](\frac{1}{2}(6x-1))=4[/tex]  or [tex]\frac{6x-1}{2}=4[/tex]

Step 3.

Multiply both sides by a constant to simplify the equation.

Multiply both sides of [tex]\frac{6x-1}{2}=4[/tex]  by 2:

[tex]\frac{2*(6x-1)}{2}=4*2[/tex]

Step 4.

Cancel the common terms in the numerator and denominator of   [tex]\frac{2*(6x-1)}{2}[/tex]

Then we get [tex]\frac{2}{2}*(6x-1)[/tex]  which simplifies to [tex](6x-1)[/tex]

So all together we have [tex](6x-1)=2*4[/tex]

Step 5.

Multiply 2 and 4 together and remove the parenthesis.

[tex]6x-1=8[/tex]

Step 6.

Isolate terms with the variable x to the left hand side.

So add 1 to both sides:

[tex]6x+(1-1)=8+1[/tex]

Evaluate   [tex]1-1=0[/tex]  which cancels out

Step 7.

Add the like terms on the right side:

[tex]6x=9[/tex]

Step 8.

Divide both sides by a constant to simplify the equation.

Divide both sides of [tex]6x=9[/tex]  by 6.

[tex]\frac{6x}{6} =\frac{9}{6}[/tex]

Any non-zero number divided by itself is 1.

[tex]x=\frac{9}{6}[/tex]  which simplifies to [tex]x=\frac{3}{2}[/tex]

Answer:

No because Temperature is measured in Kelvins

Step-by-step explanation:

Angles ABC and CBD are complementary - they add up to 90°. This means

(4x + 52°) + (8x - 10°) = 90°

Solve for x :

12x + 42° = 90°

12x = 48°

x = 4°

It follows that angle CBD has measure

4 • 4° + 52° = 16° + 52° = 68°

Answer:

250

Step-by-step explanation:

Answer:

x = 9

Step-by-step explanation:

using Pythagoras' identity in the right triangle

the square on the hypotenuse is equal to the sum of the squares on the other 2 sides , that is

x² + 6² = ([tex]\sqrt{117}[/tex] )²

x² + 36 = 117 ( subtract 36 from both sides )

x² = 81 ( take square root of both sides )

x = [tex]\sqrt{81}[/tex] = 9

Answer:

the answer is A because if the interest is equal to 624×5×3÷100 which would give us 93.60

but for the rest the when you solve it you won't get the same answer below it

Answer:

144 is the surface area

Step-by-step explanation:

Multiply 5 x 8 for the 3 rectangles. You will get an answer of 40. 40 x 3 is 120. For the 2 triangles you multiply 6 x 4 divided by 2 times 2 which is 24 lol. 120 + 24 = 144.

Answer:

THE 18 oz CONE IS BETTER VALUE, AS YOU GET MORE FOR A CHEAPER PRICE.

Step-by-step explanation:

work out the worth for 1oz of each ice cream cone.

$6.60 / 18 = 0.37 (to 1 decimal place)

$4.75 / 12= 0.40 ( to 1 decimal place)

Answer:

y < 1/2 x - 3

Step-by-step explanation:

The line crosses the y-axis (up and down numbered axis) at -3. That's the - 3 in the equation. If you look very carefully, closely, you can see that the line, from there, goes UP1 and OVER2 to get to the next point (and the next point and the next point) This is the slope, it goes in front of the x, here it is UP1 and OVER2 and is written 1/2.

The line is dashed so the symbol is < "less than" WITHOUT the line mark underneath it; also because the shading is BELOW the dashed line we use < "less than" and not > "greater than"

Step-by-step explanation:

11 cm, 6 cm, 17 cm

Answer::

11cm, 6cm, 17cm

step by step explanation:

the correct answer is 11cm 6cm and 17cm

because in a right angled triangle, the square of the hypothenus is equal to the square of the sum of the other two sides

hypothenus= 17cm other two sides=11cm and 6cm

C = 81.68 to 2 decimal place

C= pi x diameter

= pi x 26

= 26 pi

= 81.6814.....

13 x 2 =26

Hope this helps!

Answer:

$53.33

Step-by-step explanation:

40/1 - .25

40/.75 = $53.33

Answer:

A = 6400 m²

Step-by-step explanation:

the sides s of a square are congruent , then

s = 320 ÷ 4 = 80 m

tahe area (A) of a square is calculated as

A = s² = 80² = 6400 m²

The required area of square, having side 80 meters, is 6400 square meters.

A square is a quadrilateral with four equal sides and four equal angles that is a regular quadrilateral. The square's angles are at a straight angle or 90 degrees.

Given that,

The length of fencing enclosure a square = 320 meters,

Let the side of the square is a meter,

According to given condition, perimeter of square,

4a = 320  

a = 80

Since, the area of square having side a, is a²

Area = a²

Area = (80²)

Area = 6400 square meters.

The area of square, having side 80, is 6400 square meters.

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#SPJ2

Answer:

Step-by-step explanation:

ABE is tangent to the circle then m∡OBE = m∡OBD = 90

Then m∡OBD = 90 - 58 = 32

In the triangle DAB :

m∡CAB = m∡DAB = 180 - [m∡BDA + (m∡DBA)]

                                = 180 - [     32       + (90 + 32)]

                                = 180 - [     32       + ( 122) ]      

                                = 180 - [ 154 ]    

                                = 26                    

Answer:

B) 26°

Step-by-step explanation:

Finding ∠OBD

Then, ∠ADB = ∠OBD = 32° (angles opposing equal sides OB and OD, both of which are radii of the circle.

Finding ∠CAB

Answer:

Both probability and statistics are considered to be part of algebra due to the fact that they both deal with equations and variables. Also last semester I had Algebra II with statistics and we dealt with probability & statistics.

Step-by-step explanation:

Hope this helps:)...if not then sorry for wasting your time and may God bless you:)

Answer:

Both probability and statistics can be considered to be part of algebra as they deal with equations and variables.

Probability and statistics are related areas of mathematics that concern themselves with analyzing the relative frequency of events.

Step-by-step explanation:

Answer:

if you use math    way it gives you simple answers im in 11th grade math and it works wonders also you dont get a GPA untill you reach highschool so tbh math in middleschool and junior high doesnt rlly count yk and there is also a no child left behind act in 42 states so you wont have to repeat the grade unless your parents want you to repeat the grade but one class wont make you reapeat the grade

Step-by-step explanation:

Answer:

Hello, I am sure your aunt is already proud of you! If you need help I am willing to do so. Do not try to overwork yourself math is hard. Just do your best and you will succeed. Do worry about your C anyways because colleges normally do not look at grades from 8th. It usually starts in the 9th grade. Just keep doing your best and keep your head high. You will do great things!

Step-by-step explanation:

Answer:

4.9 × [tex]10^3[/tex]

Step-by-step explanation:

Start by doing what is in the paranthesis from right to left.

[tex]9 * 10^2 = 900[/tex]

and

[tex]4 * 10^3 = 4000[/tex]

So if we add them we get:

[tex]900 + 4000 = 4900[/tex]

Now to put it into standard form we just put a decimal to the right of the first number and see how many times we need to move right in order to make the number. In this case it's 3 times so we tack on × [tex]10^3[/tex]

So our answer is:

[tex]4.9[/tex] × [tex]10^3[/tex]

Answer:  [tex]C=31.4[/tex]

Step-by-step explanation: When you are finding the circumference of a circle you use the formula

[tex]C=2\pi r[/tex]

[tex]C=2*3.14 *5[/tex]

[tex]C=31.4[/tex]

Answer:

b= -18

Step-by-step explanation:

See attached image.

Formulate the equation for the line by calculation the slope and adding the y-intercept, as shown.  The y-intercept if the value of y when x = 0.  The equation of a straight line is y=mx+b, where m is the slope and b is the y-intercept.  Note that this b is not the same b in the question (8,b).  The b in the question may be calculated once the equation is found:  y = -3x+6, where -3 is the slope and 6 is the y-intercept (0,6).

Use x = 8 in this equation.  y = -3(8)+6,  y = -18

The point is (8,-18), so b is -18.

Answer: A. [5 * (3 * 12)]

Step-by-step explanation:

     The associative property states that "the way in which factors are grouped in a multiplication problem does not change the product" (Oxford Languages).

     Using this definition, we can see the only option that correctly uses the associate property is option A.

[5 * (3 * 12)]

Answer:7.0711

Step-by-step explanation:

Answer:

D. 25.12 feet

Step-by-step explanation: C= r(pi)^2

Answer:

[tex]derivative \: of \: y = 6 {x}^{2} + 2x + 4[/tex]

Step-by-step explanation:

we know that

[tex] \frac{d}{dx} {x}^{n} = n {x}^{n - 1} [/tex]

Now the derivative of y=2x³+x²+4x

[tex] \frac{dy}{dx} = \frac{d}{dx} (2 {x}^{3} + {x}^{2} + 4x)[/tex]

[tex] \frac{dy}{dx} = \frac{d}{dx} (2 {x}^{3} ) + \frac{d}{dx}( {x}^{2} ) + \frac{d}{dx} (4x)[/tex]

[tex]\frac{dy}{dx} = 2(\frac{d}{dx} {x}^{3} ) + \frac{d}{dx} {x}^{2} + 4(\frac{d}{dx} x)[/tex]

here

[tex]\frac{d}{dx} {x}^{3} = 3 {x}^{2} [/tex]

[tex]\frac{d}{dx} {x}^{2} = 2x[/tex]

[tex]\frac{d}{dx} x = 1[/tex]

Now

[tex]\frac{dy}{dx} = 2(3 {x}^{2} ) + 2x + 4(1)[/tex]

[tex]\frac{dy}{dx} = 6 {x}^{2} + 2x + 4[/tex]

I hope it helped you

Answer:

Point d's corrdinates are (-7, -3). You can use the coordinate grid to find it out by graphing the others first and then find the missing one based on the sides

Step-by-step explanation:

Answer:

-5x+12

Step-by-step explanation:

12 -5x

We can use the communitive property of addition to change the order.

The minus sign stays with the 5x

-5x+12

Answer...

Ok done. Thank to me >:3