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Answer: Associative Property of Addition

This property says that we can group terms in any order we want, and the results of the addition would be the same.

For example, 2+(3+4) = 2+(7) = 2+7 = 9 and (2+3)+4 = (5)+4 = 5+4 = 9. Therefore, 2+(3+4) = (2+3)+4 is a true equation since both sides evaluate to 9.

This property works not only for rational numbers, but for any real numbers.

Hello!

0.4x + 3 = 0.2(3x + 1) - x

0.4x + 3 = 0.6x + 0.2 - x

0.4x + 3 = -0.4x + 0.2

0.4x + 0.4x = 0,2 - 3

0.8x = -2.8

x = -2.8 : 0.8

x = -7/2

Good luck! :)

Answer:

4

Step-by-step explanation:

y=3x-2

y=3(2)-2

y=6-2

y=4

Answer:

B. b=3a+2

Step-by-step explanation:

I just substituted all of the a values in and I got the b values.

Answer:

Your answer is B, b = 3a+2

Step-by-step explanation:

for example:

3(2) + 2 = 8

Insert a number from column a into the variable and it will come out as the number in column b if it's the correct equation.

Step-by-step explanation:

answer what ?

all we can see is a grid of coordinates with a functional graph drawn into it.

and we know this function is called y=h(x).

that is it.

what answer is needed ? there is no question visible.

Answer:

232

Step-by-step explanation:

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

Explanation:

I recommend drawing out the triangle. See below.

Notice how each lowercase letter is a side length, and the uppercase letters are angles. Also, each lowercase letter is opposite their corresponding uppercase counterpart.

We're given that angles B and C are 22 degrees and 52 degrees in that order. Let's use the fact that the three angles of any triangle must add to 180 to solve for angle A

A+B+C = 180

A+22+52 = 180

A+74 = 180

A = 180-74

A = 106

We do this so we can then apply the law of sines

sin(A)/a = sin(B)/b

sin(106)/30 = sin(22)/b

b*sin(106) = 30*sin(22) ....... cross multiplication

b = 30*sin(22)/sin(106)

b = 11.6910908340182 ....... which is approximate

b = 11.7

Make sure your calculator is in degree mode.

Answer:

x - 27

Step-by-step explanation:

Our goal here is to solve for x.

Start by performing the indicated multiplication:

-5(x+4) + -3x + -9x+-7  =>  -5x - 20 - 3x + 9x - 7

Combine like terms:  x - 27

Answer:

[tex]-5(x+4) + -3x + -9x+-7[/tex]

[tex]\longmapsto -5\left(x+4\right)+\left(-3\right)x+\left(-9\right)x+\left(-7\right)[/tex]

[tex]\longmapsto -5\left(x+4\right)-3x-9x-7[/tex]

[tex]\longmapsto -5(x+4)=-5x-20[/tex]

[tex]\longmapsto -5x-20-3x-9x-7[/tex]

[tex]\longmapsto =-17x-27[/tex]

[tex]ANSWER:=-17x-27[/tex]

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

hope it helps....

have a great day!!

Answer:

Step-by-step explanation:

mean:64

median: (74+76)/2=75

mode: no mode

Range: 71

#2

mean:51

median:(55+55)/2=55

mode:55

Range; 68

Answer:

6)

Mean = 35+ 74+ 76+ 93+ 84+ 22 = 384

mean = total amount/total numbers

384/6 = 64

Median = 76 + 93/2 = 169/2 = 84.5

Mode = there is no mode (there are no numbers repeated)

Range = (biggest - smallest) = 93 - 22 = 71.

7)

Mean = total amount/total numbers

72+ 55 +11+ 55 + 42 + 25 + 79 + 69 = 408/8 = 51

Median = 55 + 42/2 = 97/2 = 48.5

Mode = 55

Range = 79 - 25 = 54

8) Mean = 93 + 15 + 11+ 58+ 94+ 87 + 73+ 16+ 21 = 468/9 = 52

Median = 94

Mode = nothing

Range = 93 - 11 = 82

9)

Mean = 17+45+ 12+ 74+ 89 + 57 = 294/6 = 49

Median = 12 + 74/2 = 43

Mode = nothing

Range = 89 - 12 = 77

10)

Mean = 52+ 35+ 55+ 23+ 30 = 195/5 = 39

Median = 55

Mode = nothing

Range = 55 - 23 = 32

Step-by-step explanation:

I rlly hope this helped i took soooo long(sry for that btw)

Hi there!  

»»————-　★　————-««

I believe your answer is:  

[tex]h(10) \text{- the altitude of the hot air balloon after 10 minutes.}\\\\\boxed{h(10)=60}[/tex]

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

⸻⸻⸻⸻

[tex]\boxed{\text{Evaluating the function...}}\\\\h(t) = 210 - 15t; \text{ } h(10)\\-------------\\\rightarrow h(10) = 210 - 15(10)\\\\\rightarrow h(10)=210 - 150\\\\\rightarrow \boxed{h(10) = 60}[/tex]

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

Step-by-step explanation:

in negative exponents you should switch both numerator and denominator so for 2 raised to -1 you should switch the numerator and denominator and it will become 1/2 in which 2 is raised to power 1

you can do the same for the remining sums

so a is 1/2 in which 2 is raised to 6 so answer is 1/64

Given:

The equation of a linear function is:

[tex]y=-\dfrac{2}{3}x-1[/tex]

To find:

The y-intercept and slope of the given equation, then draw the graph of the equation.

Solution:

Slope intercept form of a line is:

[tex]y=mx+b[/tex]             ...(i)

Where, m is the slope and b is the y-intercept

We have,

[tex]y=-\dfrac{2}{3}x-1[/tex]        ...(ii)

On comparing (i) and (ii), we get

[tex]m=-\dfrac{2}{3}[/tex]

[tex]b=-1[/tex]

Therefore, the y-intercept is -1 and the slope of the line is [tex]-\dfrac{2}{3}[/tex].

It means the graph intersect the y-axis at point (0,-1) and having slope [tex]-\dfrac{2}{3}[/tex]. So, the graph of the equation is shown below.

Answer:

Step-by-step explanation:

(3,9)

Step-by-step explanation:

w = 34° (alternate interior angles)

x = 34° (vertically opposite angles)

y = 101°

z = 79° (corresponding angles)

Answer:

Step-by-step explanation:

I am sort. I have no idea

Answer:

The three straight paths intersect at different angles. In other words, the amountrequired to turn one path onto the other is different about each vertex. Thelargest angle is opposite the longest side, and the smallest angle is opposite theshortest side. If all three points of intersection look the same, the result is atriangle with three equal angles and three equal sides.

Step-by-step explanation:

Answer:

10 quarters and 12 dimes :)

Step-by-step explanation:

Answer:

Value of x:

[tex]{ \tt{(13x + 9) + (5x + 9) = 180 \degree}} \\ { \tt{18x + 18 = 180 }} \\ { \tt{18x = 162}} \\ { \tt{x = 9}} \\ [/tex]

Angle m‹6:

[tex]{ \boxed{ \tt{m \angle6 = (5x + 9) \degree}}} \\ { \tt{m \angle6 = (5 \times 9) + 9}} \\ { \tt{m \angle6 = 54 \degree}}[/tex]

Answer:

B. 54 degrees

Step-by-step explanation:

Set up an equation that equals 180 degrees because a line is 180 degrees:

(13x+9)+(5x+9)=180

Solve for x:

x=9

Substitute 9 in 5x+9:

5(9)+9

Solve.

54

Since angle 6 is complementary, it is the same as the 7th angle.

So the answer is B, 54 degrees.

Hope this helps!

Answer:

Here we have the equation:

6*sin²(x) + 2*sin²(x) = 1

and we want to find a solution in the range:

-90° < x < 90°

First, we can take the sin²(x) as a common factor to get:

6*sin²(x) + 2*sin²(x) = (6 + 2)*sin²(x) = 1

8*sin²(x) = 1

now we can divide both sides by 8

sin²(x) = 1/8

now we can apply the square root to both sides:

√(sin²(x) = √(1/8)

sin(x) = √(1/8)

Now remember the inverse sine function, Asin(x)

such that:

Asin( sin(x) ) = sin( Asin(x) ) = x

If we apply that to both sides, we get:

Asin( sin(x) )  = Asin(√(1/8))

x = Asin(√(1/8)) = 20.7°

x = 20.7°

Answer:

Option no. D is right. Because the congruence presented is more congruent

Answer:

B is the answer because the graph is translated 2 down. the translation cannot be included within the radical sign, so it can't be C

Answer:

-3

Step-by-step explanation:

If the equation is y = -5x -3, the y intercept is -3, and the slope is -5x. The number without a variable next to it, of any sort is always the y-intercept.

Answer:

the answer is B

Step-by-step explanation:

-5(y-2)-7y

-5y-10-7y

+7y +7y

answer: 2y-10

Answer:

A. (-12y+10)

Step-by-step explanation:

-5(y-2) - 7y can be simplified to:

-5y + 10 - 7y when you factor the parenthesis.

If you add the y's together, the answer should be:

-12y + 10.

.

Answer:

B.

Step-by-step explanation:

A geometric sequence is where a number is multiplied or divided by same number

in option be all number ar the power of 2 so the correct answer would be B

Answer:

Where are the ordered pairs?

Step-by-step explanation: