pls help i have to find the mistake they made when he solved the equation
2(x + 3) = 6
2x + 3 = 6
- 3 - 3
2x = 3
+2 +2
x = 1.5

Answer:

A, B, C

Step-by-step explanation:

Since the sum of the angles in a triangle is [tex]180^{\circ}[/tex], you can set the equation [tex]9x-7+7x-9+28-2x[/tex]. Simplifying gets [tex]14x=168[/tex]. Dividing gets you [tex]x = 12[/tex]. This is only x so you have to substitute 12 for x in the angles in the beginning to get [tex]\angle{A}=101^{\circ}[/tex], [tex]\\\angle{B}=75^{\circ}[/tex], [tex]\\\angle{C}=4^{\circ}[/tex]

Answer:

n= 45

Step-by-step explanation:

2/5×n=18

2n/5=18

2n/2=90/2

n=45

Answer:

21 projects each

Step-by-step explanation:

3150 ÷150

Given:

The sum of third and seventh terms of an AP is 20.

To find:

The sum of the first nine ​ terms.

Solution:

We have, the sum of third and seventh terms of an AP is 20.

[tex]a_3+a_7=20[/tex]        ...(i)

nth term of an AP is

[tex]a_n=a+(n-1)d[/tex]

where, a is first term and d is common difference.

[tex]a_3=a+(3-1)d[/tex]

[tex]a_3=a+2d[/tex]       ...(ii)

[tex]a_7=a+(7-1)d[/tex]

[tex]a_7=a+6d[/tex]       ...(iii)

Using (i), (ii) and (iii), we get

[tex](a+2d)+(a+6d)=20[/tex]

[tex]2a+8d=20[/tex]         ...(iv)

Now, the sum of first n terms of an AP is

[tex]S_n=\dfrac{n}{2}[2a+(n-1)d][/tex]

Put n=9 to find the sum of first 9 terms of an AP.

[tex]S_n=\dfrac{9}{2}[2a+(9-1)d][/tex]

[tex]S_n=\dfrac{9}{2}[2a+8d][/tex]

[tex]S_n=\dfrac{9}{2}[20][/tex]           [Using (iv)]

[tex]S_n=\dfrac{180}{2}[/tex]

[tex]S_n=90[/tex]

Therefore, the sum of the first 9 terms is 90.

Answer:

If hanging Christmas lights around the garage door is on your holiday to do list, make sure to do it right. Decorating shouldn't be a once-a-year activity that does permanent damage to your home or your body.

When it comes to hanging holiday lights around your garage door, use clips and hooks specifically designed for the task. Avoid using metal fasteners like staples or nails if you are attaching lights directly to the trim; the metal can damage the wiring and create a fire or electrocution hazard. Instead, clip the plastic fasteners to the light string and attach the plastic fasteners to your trim. This way the clips can remain throughout the year, and lights are more easy to hang in the holidays to come.

For the vertical runs, find the trim clips that wrap around the light string and hold it into place (this is particularly important for our Sioux City and Yankton breezes and blizzards). Aim for a clip every 12 inches or so. Some homeowners choose to nail the clips for stability; others use a removable adhesive.

If you are continuing to light up your house with lights around your roof and gutter lines, there are other items that can help make this process easier. Roof and gutter clips can be pressed directly onto the home's exterior; they typically have a hook at the bottom that grabs the light string. Please be very careful when working on high and precarious locations!

Answer:261

Step-by-step explanation:i don’t rlly know how to explain

Answer:

45

Step-by-step explanation:

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

Work Shown:

A = old value = 400

B = new value = 300

C = percent change

C = [(B-A)/A]*100%

C = [(300-400)/400]*100%

C = (-100/400)*100%

C = (-0.25)*100%

C = -25%

The negative value of C means we have a percent decrease. Specifically we have a 25% decrease.

---------

We can see that by saying:

25% of 400 = 0.25*400 = 100

400 - (25% of 400) = 400 - 100 = 300

9514 1404 393

Answer:

  as written: x = 1/3

  as maybe intended: x =  -5

Step-by-step explanation:

As written

  (1/x) +2 = (2/x) -1

  3 = 1/x . . . . . . . . . add 1-(1/x)

  x = 1/3

__

As maybe intended

  1/(x +2) = 2/(x -1)

  x -1 = 2(x +2) . . . . . . . multiply by (x+2)(x-1)

  x -1 = 2x +4 . . . . . . . . eliminate parentheses

  -5 = x . . . . . . . . . . . . . subtract (x+4)

Answer:

Arithmetic sequence

Step-by-step explanation:

Arithmetic sequences have a common difference d=n2-n1 whilst Geometric sequences have a common ratio r=r2/r1

Clearly, 27-18=9,6-27=9,54-45=9

since there's a common difference,it's an arithmetic sequence

Answer:

y = 70°

Step-by-step explanation:

Complementary angles sum to 90°, then

x + y = 90°, that is

20° + y = 90° ( subtract 20° from both sides )

y = 70°

Answer:

The missing number in the green box is 4

Step-by-step explanation:

The product of the slopes of the perpendicular lines is -1, which means

The slope-intercept form of the linear equation is y = m x + b, where

Let us solve the question

∵ The equation of the first line is y = 4x + 2

→ Compare it with the form of the linear equation above

∴ m = 4

∵ m is the slope

∴ The slope of the line is 4

∵ The slope of the perpendicular line should be the negative reciprocal of it

∵ The negative reciprocal of 4 is [tex]-\frac{1}{4}[/tex]

∴ The slope of the perpendicular line is [tex]-\frac{1}{4}[/tex]

→ Substitute it in the equation

∴ y = [tex]-\frac{1}{4}[/tex] x + 2

∴ The missing number in the green box is 4

Answer:

The number of turns of graph for [tex]f(x) = 3x^5 -2x^4 + 7x^2 -9x + 8[/tex] are 4

Step-by-step explanation:

We need to find the number of turns the graph of [tex]f(x) = 3x^5 -2x^4 + 7x^2 -9x + 8[/tex] have?

Turns of graph:

The graphs turns when it changes from increasing to decreasing (rise to fall) or decreasing from increasing (fall to rise)

Turns of graph for a polynomial

A polynomial having degree n will have maximum n-1 turns.

So, for the given polynomial

[tex]f(x) = 3x^5 -2x^4 + 7x^2 -9x + 8[/tex]

We need to find degree

The highest exponent of the polynomial is the degree of polynomial

So, Degree n = 5

Number of turns = n - 1 = 5-1 =4

So, the number of turns of graph for [tex]f(x) = 3x^5 -2x^4 + 7x^2 -9x + 8[/tex] are 4

Answer:

I'd say x=4.5

Step-by-step explanation:

I learned this in 6th grade so don't completely take my word for it. But you can build off of my answer probably. Sorry.

Answer: 18 loaves of bread.

Step-by-step explanation:

Do 12 divided by 2/3 which is the same thing as multiplying 12 by the reciprocal (just flip the fraction) of 2/3 which is 3/2. 12x3/2 is 36/2 which is equal to 18.

Answer:

The value of a is 3 while the value of b is 4

Step-by-step explanation:

Here, we want to express the given polynomial in the given form while giving the values of a and b

We can rewrite the polynomial as follows;

x^2 + 6x + 9 + 4

We can factorize the first part;

x^2 + 3x + 3x + 9 + 4

x(x + 3)+ 3(x + 3) + 4

= (x + 3)(x + 3) + 4

= (x + 3)^2 + 4

Answer:

6 F

Step-by-step explanation:

We want to find the temperature difference

Given that the initial temperature read minus 17 F

And the new temperature is increased by 23 F

The new temperature is

=-17+23= 6 F

Therefore the new temperature is 6F

Answer:

5

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

because I did it and good night and sleep

Answer:

£o.68 is 16% of £4.25

Step-by-step explanation:

the 16 percent of 4.25

= 16percent ×4.25

= 16/100 ×4.25

=68/100

=£o.68

so,16 percent of 4.25 is £o.68

Given:

The expression is

[tex]x^3(2x-6)+x^2(2x-6)[/tex]

To find:

The factors of the given expression.

Solution:

We have,

[tex]x^3(2x-6)+x^2(2x-6)[/tex]

First taking [tex](2x-6)[/tex] common, the given expression can be written as

[tex]=(2x-6)(x^3+x^2)[/tex]

Taking [tex]x^2[/tex] common from [tex](x^3+x^2)[/tex], we get

[tex]=x^2(2x-6)(x+1)[/tex]

Therefore, the factors of the given expression are [tex]x^2(2x-6)(x+1)[/tex].

Answer:

Step-by-step explanation:

given: 6 yds / sec

find the time to ride 12 miles,  so how many yards is 12 miles?

12 miles *   1760 yards / 1 mile = 21120 yds

d =r*t    d=distance , r= rate , t = time

we know the distance and the rate .. so we can find the time

d/r = t

21120/6 = t  ( in seconds)

3520 = t sec.

3520 sec *   1 min / 60 seconds   ( to convert to minutes )

3520/60=t ( in minutes)

58 & 2/3  minutes  

Answer:

What ????????????????

Answer:

294 cm^2

Step-by-step explanation:

length of the cube is 7cm each side

S.A = 2(7 * 7) + 2( 7 * 7) + 2( 7 * 7)

= 294 cm^2

Answer:

Solution in photo

Step-by-step explanation:

Answer:

-27

Step-by-step explanation:

Answer:

down the middle of an object with vertical symmetry, the two sides  

will be mirror images of each other.

  Examples of capital letters that have vertical symmetry are:

    A H I M O T U V W X Y

Step-by-step explanation:

I believe the answers is it has a 30% chance to land on a letter with a vertical line of symmetry

Correct me if I'm wrong hope this helps plz mark brainliest

Answer:

[tex]15000 \times {0.92}^{x} = y[/tex]

x is the number of years and y is the value at x years

The exponential decay model to represent the real-life problem should be considered as the [tex]15000 \times 0.92^{x} = y[/tex].

Since the purchase value of the truck is $15,000

The depreciation rate is 8%

So here exponential decay model should be like

[tex]15000 \times 0.92^{x} = y[/tex]

Hence, The exponential decay model to represent the real-life problem should be considered as the [tex]15000 \times 0.92^{x} = y[/tex].

Learn more about model here: https://brainly.com/question/24280482

Answer:

3) False

4) c (-2, -1, 0, 1, 2)

Step-by-step explanation:

The domain is the set of all possible inputs for a function, which is basically the x-values.

Answer:

a.

Step-by-step explanation:

By definition, the constant of proportionality is a constant ratio of two variables that are proportional. So the answer is a . The constant ratio of one variable quantity to another to which it is proportional (or the Unit Rate).

Answer:

9.2

Step-by-step explanation:

Answer:

28.84

Step-by-step explanation:

28 + .70 + 0.14 = 28.84