Which expression is equivalent to 20 + 8y − 9y − 21

Answer:

x = -2

Step-by-step explanation:

1) Distribute

4(x+5)=6(x+4)

4x+20=6(x+4)

2) Distribute

4x+20=6(x+4)

4x+20=6x+24

3) Subtract 20 from both sides

4x+20=6x+24

4x+20-20=6x+24-20

4) Simplify

- Subtract the numbers

4x+20-20=6x+24-20

4x=6x+24-20

- Subtract the numbers

4x = 6x + 24 - 20

4x = 6x + 4

5) Subtract 6x from both sides

4x = 6x + 4

4x - 6x = 6x + 4 - 6x

6) Simplify

- Combine like terms

4x-6x = 6x + 4 - 6x

-2x = 6x + 4 - 6x

- Combine like terms

-2x = 6x + 4 - 6x

-2x = 4

7) Divide both sides by the same factor

-2x = 4

-2x/-2 = 4/-2

8) Simplify

- Cancel terms that are in both the numerator and denominator

-2x/-2 = 4/-2

x = 4/-2

- Divide the numbers

x = 4/-2

x = -2

Answer:

6.1÷100×3200

press that you will get your answer

Answer:

2

Step-by-step explanation:

so if you take away 14 by 2 =12 and 12 divided by 6= 2

Answer:

each candy bar cost 2 dollars

Step-by-step explanation:

Answer: 1 3/4(8)= 14

Step-by-step explanation:

That is the correct answer

Answer:

y = -x - 4

Step-by-step explanation:

m = (-5-0)/(1+4) = -5/5 = -1

b = (0, -4)

y = mx + b

y = -x - 4

Answer:

x = 1

Step-by-step explanation:

Given:

2(3x - 7) + 18 = 10

Solution:

Subtract 18 from both sides

2(3x - 7) + 18 = 10

              - 18    -18

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

2 (3x-7) = -8

Now divide both sides by 2

2 (3x-7)               -8

-----------     =  ------------

  2                      2

Simplify

3x - 7 = -4

Then add 7 to both sides

3x - 7 = -4

   + 7     +7

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

3x = 3

Divide both sides by 3

3x                     3

-----------     =  ------------

  3                     3

x = 1

Thus, Solution : x =1

~Lenvy~

Answer:

[tex]x = 1[/tex]

Step-by-step explanation:

Simplify both sides of the equation

[tex]2(3x - 7) + 18 = 10[/tex]

Distribute

[tex](2)(3x) + (2)( - 7) + 18 = 10 \\ 6x + - 14 + 18 = 10[/tex]

Combine like terms

[tex](6x) + ( - 14 + 18) = 10[/tex]

[tex]6x + 4 = 10[/tex]

Subtract 4 from both sides

[tex]6x + 4 - 4 = 10 - 4[/tex]

[tex]6x = 6[/tex]

Divide both sides by 6

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

[tex]x = 1[/tex]

Answer:

b 34

Step-by-step explanation:

its 34 because if you do 46×2 because of the both sides you will get 92 then subtract 92 from 160 and you will get 68 then do 68÷2 to find out the second side and you will get 34

Answer:

35 degrees

30 degrees

Trees near the road may have more damage than trees away from it, so the results may overestimate the overall damage to the trees.

The sample space S of a random experiment is defined as the set of all possible outcomes of an experiment. In a random experiment, the outcomes, also known as sample points, are mutually exclusive

Given, The ranger parks at the side of the road and chooses 100 trees near the road to assess for damage hence, trees near the road may have more damage than trees away from it, so the results may overestimate the overall damage of the trees.

So, Consequently, the results can exaggerate the total amount of tree damage.

learn more about random samples here :

https://brainly.com/question/29852583

#SPJ6

Answer:

The sum of two even numbers is an even number

Step-by-step explanation:

Hey there!

As you can see in the table, all the even numbers when added up are equal to an even number

This make the statement "The sum of two even numbers is an even number" true

Answer:

468 ft²

Step-by-step explanation:

Area = (37+15)/2 × 18

37 + 15 is 52

Divide 52 by 2 which is 26

26 × 18 is 468

We know,

[tex] \text{Area of trapezoid =} \frac{a + b}{2} h[/tex]

Here, a and b are base and h is height

[tex] = \frac{37 + 15}{2} \times 18 \\ \\ = \frac{52}{2} \times 18 \\ \\ = \cancel\frac {52}{2} \times 18 \\ \\ = 26 \times 18 \\ = 468 \: \text{ft²}[/tex]

Step-by-step explanation:

Gradient = y2-y2/x2-x1

= 1-(-2) / 0-(-6)

= 1/2

m1 × m2 = -1

1/2 × m2 = -1

m2 = -2

y= mx+c

(3)=(-2)(2) + c

c=7

°y= -2x +7

Answer:

1

Depends on the cross section axis

place a cylinder can on a table , circular and side down .Look down at it and you see the other end so the cross section is circle

Turn it on its side and the cross section is rectangle

Answer:

x = 3.25 Each diagonal = 34.25. Step-by-step explanation: LMNP is a rectangle and it has diagonals LN and MP. Now, given that LN = 13x - 8 and MP = 9x + 5 Now, we know that the two diagonals of a rectangle are of the same length. So, LN = MP   ⇒ 13x - 8 = 9x + 5 ⇒ 4x = 13 ⇒ x = 3.25 (Answer) Therefore, the each diagonal is of (13 × 3.25 - 8) = 35.25 length. (Answer)

Read more at Answer.Ya.Guru – https://answer-ya.com/questions/4694576-lmnp-is-a-rectangle-find-the-value-of-x-and-the-length-of-each.html

Step-by-step explanation:

Answer:

Can you provide an Attachment?

Step-by-step explanation:

^^

Answer:

8.5

put numbers least to greatest and find the median by crossing numbers out front from back.

Answer:

Parabola opens upwards, so it's a vertical parabola. Vertex at origin (0,0) and focus at (0,2). Standard equation of this parabola is

| (X — h)^2 = 4p(Y — k) |

Focus is at (0,2), so distance between vertex and focus, which is p is 2 units. So 4p = 8 units.

So the equation of this parabola is,

(X — 0)^2 = 8(Y — 0)

X^2 = 8Y or Y = X^2/8

Step-by-step explanation:

Answer:

A. x = -9

Step-by-step explanation:

6x + 8 = 3x - 19 <== subtract 3x from both sides

-3x       -3x

3x + 8 = -19 <== subtract 8 from both sides

    - 8     - 8

3x = -27 <== divide both sides by 3

/3     /3

x = -9

Hope this helps!

Answer:

[tex]\tt x=-9[/tex]

Step-by-step explanation:

[tex]\tt 6x + 8 = 3x - 19[/tex]

Subtract 8 from both sides:-

[tex]\tt 6x+8-8=3x-19-8[/tex]

[tex]\tt 6x=3x-27[/tex]

Subtract 3x from both sides:-

[tex]\tt 6x-3x=3x-27-3x[/tex]

[tex]\tt 3x=-27[/tex]

Divide both sides by 3:-

[tex]\tt \cfrac{3x}{3}=\cfrac{-27}{3}[/tex]

[tex]\tt x=-9[/tex]

The vaule of x that makes the equation true is A) x= -9.

Answer:

1.52 cups

Step-by-step explanation:

360 ml / (236.588 ml/cup ) = 1.52 cups

Answer:

Step-by-step explanation:

Statement 1:

Statement 2:

As we see the second statement is valid but not the first one.

Correct choice is D

Answer:

Statement 2 only

Step-by-step explanation:

2nd one is the identity so no need to verify its true

1st one

Hence wrong

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Here's the solution~

Standard equation of a circle is represented as :

[tex]\qquad \sf  \dashrightarrow \:(x - h) {}^{2} + (y - k) {}^{2} = r {}^{2} [/tex]

where,

Now, let's plug in the values to find the required equation of circle ~

[tex]\qquad \sf  \dashrightarrow \:(x - 8) {}^{2} + (y - ( - 10)) {}^{2} = (4\sqrt{3} ) {}^{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \:(x - 8) {}^{2} + (y + 10) {}^{2} = 16 \times 3[/tex]

[tex]\qquad \sf  \dashrightarrow \:(x - 8) {}^{2} + (y + 10) {}^{2} = 48[/tex]

The equation of given circle with centre C ( 8 , - 10 ) and diameter ( 8√3 ) is x² + y² - 16x + 20y + 116 = 0

[tex]\quad\rule{300pt}{1pt}\quad [/tex]

The standard equation of Circle is given by :

[tex] {\pmb{\sf {\longrightarrow r^2 = (x-h)^2 +( y-k)^2}} }[/tex]

This is the standard form of the equation. Thus if we know the coordinates of center of the circle and it's radius, we can easily find its equation

Here, in this question we are given that the centre C is ( 8 , -10 ) and diameter 8√3.

[tex] \longrightarrow[/tex]h = 8

[tex] \longrightarrow[/tex] k = - 10

[tex] \longrightarrow[/tex] r = [tex] \sf{\dfrac{diameter}{2}}[/tex]

[tex] \longrightarrow[/tex]‎ r = [tex] \sf 4\sqrt{3}[/tex]

[tex] \qquad\qquad\rule{250pt}{1pt}\qquad[/tex]

On putting the values in the formula :

[tex] \sf{:\implies \qquad r^2 = (x-h)^2+ ( y-k)^2 }[/tex]

[tex] \sf{:\implies \qquad (4\sqrt{3})^2 = ( x-8)^2 +(y-(-10))^2 }[/tex]

[tex] \sf{:\implies \qquad (4)^2.(\sqrt{3})^2=(x-8)^2+(y+10)^2}[/tex]

[tex] \sf{:\implies \qquad 16\times 3 =( x^2 + 8^2 -2\times x \times 8 ) + ( y^2 + 10^2 + 2\times y \times 10 )}[/tex]

[tex] \sf{:\implies \qquad 48 = x^2 + y^2 - 16x + y^2 + 100 + 20y }[/tex]

[tex] \sf{:\implies \qquad 48 = x^2 + y^2 -16 x + 20y + 100 + 64 }[/tex]

[tex] \sf{:\implies \qquad 48 = x^2 +y^2 -16x +20y +164}[/tex]

[tex] \sf{:\implies \qquad x^2 + y^2 -16x +20y +164 - 48 = 0}[/tex]

[tex] \sf{:\implies \qquad{\boxed{ \sf x^2 + y^2 -16x + 20y +116 = 0 }}}[/tex]

‎ㅤ‎ㅤ‎ㅤ‎ㅤ~Hence, the required equation of Circle is x² + y² - 10x + 20y + 116 = 0

Answer: (x^2 - 14x + 48) : (x-6) = 0(x^2 - 14•x + 48) : (x-6) = 0x = 8

Step-by-step explanation:

i hope this is the answer your looking for

Answer:

  17

Step-by-step explanation:

The expression of interest is the difference of the two given expressions.

  (-4x +6y) -(-2x -7y) = (9) -(-8)

  -2x +13y = 17

The value is 17.

_____

Additional comment

You could go to the trouble to solve the two equations for x and y, then compute the value of the expression you want. As we saw above, that is not necessary.

The first step in problem solving is always "look at the given information and how it relates to what you are asked." A little time spent doing that can save a lot of effort in the actual problem solving process.

Answer:

42 Pages

Step-by-step explanation:

7x5=35

7+35=42

Answer:

3+15=18 i guess

Step-by-step explanation:

dont judge me im only in 2 grade

Answer:

Step-by-step explanation:

Sorry if I got you the wrong answer but I think it's, OB

Answer:

Answer:

(5, 5) and (6, 1)

Step-by-step explanation:

Solutions to the system of inequalities are any points that are in the overlapped shaded region.

For example (5, 5) and (6, 1)

Find the equations of the two lines.

Blue line

Two points on the line: (-5, 8)  and  (0, -7)

[tex]\implies \sf slope\:(m)=\dfrac{change\:in\:y}{change\:in\:x}=\dfrac{-7-8}{0-(-5)}=-3[/tex]

Point-slope form of linear equation:  [tex]\sf y-y_1=m(x-x_1)[/tex]

(where m is the slope and (x₁, y₁) is a point on the line)

[tex]\implies \sf y-(-7)=-3(x-0)[/tex]

[tex]\implies \sf y=-3x-7[/tex]

As the shading is above the line, and the line is dashed:

[tex]\sf y > -3x-7[/tex]

Red line

Two points on the line:  (0, -9)  and  (2, 1)

[tex]\implies \sf slope\:(m)=\dfrac{change\:in\:y}{change\:in\:x}=\dfrac{1-(-9)}{2-0}=5[/tex]

Point-slope form of linear equation:  [tex]\sf y-y_1=m(x-x_1)[/tex]

(where m is the slope and (x₁, y₁) is a point on the line)

[tex]\implies \sf y-(-9)=5(x-0)[/tex]

[tex]\implies \sf y=5x-9[/tex]

As the shading is below the line, and the line is solid:

[tex]\sf y\leq 5x-9[/tex]

[tex]\sf Inequality\:1: y > -3x-7[/tex]

[tex]\sf Inequality\:2:y\leq 5x-9[/tex]

Point (5, 5)

[tex]\sf Inequality\:1\implies -3(5)-7=-22 < 5\: \implies\:true[/tex]

[tex]\sf Inequality\:2\implies 5(5)-9=16 > 5\: \implies\:true[/tex]

Point (6, 1)

[tex]\sf Inequality\:1\implies -3(6)-7=-25 < 1\: \implies\:true[/tex]

[tex]\sf Inequality\:2\implies 5(6)-9=21 > 1\: \implies\:true[/tex]