Simplify the given expressions below.
I) 4x + 8 - 2x + 7


2) 2n ×5 ×2a


3) 6a power 5 over 3a power 2 ×2a
please work it out and clear​

The other answer is just wrong.

There are 9•9•8 = 648 distinct 3-digit codes. The first digit can be any numeral from 1-9, the next digit can be any from 0-9 minus the one used in the first position, and the last digit can be any from 0-9 minus both the numerals used in the first two positions.

But that doesn't even account for the divisibility constraint.

Let the code be [tex]abc[/tex]. We can expand this as

[tex]100a + 10b + c[/tex]

In order for this to be divisible by 4, we observe that

[tex]100a + 8b + 2b + c = 4 (25a + 2b) + (2b+c)[/tex]

so we only need [tex]2b+c[/tex] to be divisible by 4.

The last digit must be even, so there are only 5 choices for the last digit. I list the possibilities and outcomes below. For some integer [tex]k[/tex], we need

[tex]c=0 \implies 2b=4k \implies b=2k[/tex]

[tex]c=2 \implies 2b+2=4k \implies b = 2k-1[/tex]

[tex]c=4 \implies 2b+4 = 4k \implies b = 2(k-1)[/tex]

[tex]c=6 \implies 2b+6 = 4k \implies b = 2k-3[/tex]

[tex]c=8 \implies 2b+8=4k \implies b = 2(k-2)[/tex]

Ignoring [tex]a[/tex] for the moment, in the cases of [tex]c\in\{0,4,8\}[/tex], [tex]b[/tex] is also even. This leaves 3 choices for [tex]c[/tex] and 2 choices for [tex]b[/tex].

Likewise, in the cases of [tex]c\in\{2,6\}[/tex], [tex]b[/tex] is odd. This leaves 2 choices for [tex]c[/tex] and 5 choices for [tex]b[/tex].

Now taking into account the choice for [tex]a[/tex], we have the following decision tree.

• If [tex]a\in\{2,6\}[/tex] and [tex]c\in\{0,4,8\}[/tex], then [tex]b\in\{0,2,4,6,8\}\setminus\{a,c\}[/tex] - a total of 2•3•3 = 18 codes.

• If [tex]a\in\{4,8\}[/tex] and [tex]c\in\{0,4,8\}\setminus\{a\}[/tex], then [tex]b\in\{0,2,4,6,8\}\setminus\{a,c\}[/tex] - a total of 2•2•3 = 12 codes.

• If [tex]a\in\{2,6\}[/tex] and [tex]c\in\{2,6\}\setminus\{a\}[/tex], then [tex]b\in\{1,3,5,7,9\}\setminus\{a,c\}[/tex] - a total of 2•1•5 = 10 codes.

• If [tex]a\in\{4,8\}[/tex] and [tex]c \in\{2,6\}[/tex], then [tex]b\in\{1,3,5,7,9\}[/tex] - a total of 2•2•5 = 20 codes.

• If [tex]a\in\{1,3,5,7,9\}[/tex] and [tex]c\in\{0,4,8\}[/tex], then [tex]b\in\{0,2,4,6,8\}\setminus\{c\}[/tex] - a total of 5•3•4 = 60 codes.

• If [tex]a\in\{1,3,5,7,9\}[/tex] and [tex]c\in\{2,6\}[/tex], then [tex]b\in\{1,3,5,7,9\}\setminus\{a\}[/tex] - a total of 5•2•4 = 40 codes.

Hence there are a total of 18 + 12 + 10 + 20 + 60 + 40 = 160 codes.

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

Let's solve ~

[tex]\qquad \sf  \dashrightarrow \:lateral \: surface \: area = \pi rl[/tex]

[tex]\qquad \sf  \dashrightarrow \:la = \pi12 \times 15[/tex]

[tex]\qquad \sf  \dashrightarrow \:la =180 \pi[/tex]

Therefore, the lateral surface area of cone = 180 pi in²

➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖

Answer:

I think the A is the best answer

Step-by-step explanation:

PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE

PLEASE please please please please please please I need it Badly

Answer:

y=-x-3

Step-by-step explanation:

Answer:

Tails Tails Heads

Heads Tails Heads

Tails Heads Tails

Heads Heads Tails

Tails Tails Tails

Heads Heads Heads

Tails Tails heads

Heads Tails Tails

------------------------------------------------——------------------------------------------------------

Thanks!

Always keep more than 2 smiles so that you can share it to someone who doesn't have one. You happy! Me happy! EVERYONE HAPPY!!!!

Have a great day!

:D

Answer:

x < 39

Step-by-step explanation:

x - 27 < 12

Add 27 to both sides.

x - 27 + 27 < 12 + 27

x < 39

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

Let's solve the inequality ~

[tex]\qquad \sf  \dashrightarrow \: x - 27 < 12[/tex]

[tex]\qquad \sf  \dashrightarrow \: x < 12 + 27[/tex]

[tex]\qquad \sf  \dashrightarrow \: x < 39[/tex]

Answer:

Step-by-step explanation:

First we need to find the score of the incorrect answers and the questions that were not answered.

Score for the incorrect answers = 4*(-2) = -8

Score for the questions not answered = 6*(-1) = -6

Score for the questions answered correctly = 106 - [ (-8) + (-6) ]

                                                                       = 106 -[-14]

                                                                        = 106 + 14

                                                                        = 120

Number of questions answered correctly = total score for questions that were answered correctly ÷ score of 1 correct answer

= 120 ÷ 4

= 30

30 questions were answered correctly.

Answer:

30 pounds are left over after the bag filled

Step-by-step explanation:

145×3

= 435

now,

465-435

= 30

The measure of the angle that is 57° in this 2-dimensional figure is the angle vertically opposite to the angle 57  (the angle formed at X)

From the given diagram, we have the following:

The two angles on the straight line are 123 degrees and 57 degrees.

<F + 57 = 180

<F = 180 - 57

<F = 123 degrees

Hence the measure of the angle that is 57° in this 2-dimensional figure is the angle vertically opposite to the angle 57  (the angle formed at X)

Learn more on lines and angles here: https://brainly.com/question/25770607

Answer:

the answer is 3040 and does

Answer:

D

Step-by-step explanation:

this would simplify, in slope-intercept form, as y= 15x - 66

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

Let's calculate the slope ~

[tex]\qquad \sf  \dashrightarrow \: \dfrac{y_2 - y_1}{x_2 - x_1} [/tex]

[tex]\qquad \sf  \dashrightarrow \: \dfrac{3 - 4}{7 - ( - 2)} [/tex]

[tex]\qquad \sf  \dashrightarrow \: \dfrac{ - 1}{9} [/tex]

That's the required slope, I hope it helps~

Answer:

A 67 inches is the correct answer

[tex]\text{Given that,}\\\\\text{Area of the rectangle,}~ A = 344 ~ in^2\\\\\text{Width of the rectangle,}~w = 16 ~ in\\\\\text{Length of the rectangle,}~ l=?\\\\~~~~~~A = l \times w \\\\\implies l= \dfrac{A}w =\dfrac{344}{16}=21.5 ~in\\\\\text{Perimeter of the rectangle} = 2(l+w) = 2(21.5+16)=75~ in[/tex]

Answer:

246 sqft

Step-by-step explanation:

To find the area of the outer rectangle, add 2(3) to 15 and 20. 15 turns into 21 and 20 turns to 26. Next, do 21 x 26 to find the whole area (which is 546). The area of the inner rectangle is 20 x 15 (which is 300). Finally, do 546 - 300 which is 246.

Answer:

I think it maybe 134.2

because when u like try to to multiply and sy

Answer:

-8

Step-by-step explanation:

x+2=2(x-1)

_

3

3x+6=2x-2

3x-2x=-2-6

x=-8

Answer:

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

Step-by-step explanation:

[tex]slope \: = \frac{y2 - y2}{x2 - x1} \\ slope = \frac{3 - 4}{5 - - 1} \\ sope = \frac{ - 1}{ \: \: \: 6} [/tex]

Answer:

The median is 26

Step-by-step explanation:

A "median" is equivalent to when the terms are arranged in the proper order, whichever term is in the "middle".

So- first, arrange the terms in ascending order.

[22, 22, 23, 23, 29, 29, 29, 31]

There are an even number- eight- terms in total, so we will take the average of the two "middle" terms.

(29+23)/2; 29 and 23 are the "middle" terms, and there are two of them.

(52)/2 = 26

Therefore, the median is 26.

I hope this helped! :)

Hello!

In order to find the median of a dataset, we should first order the numbers in the dataset from least to greatest:

29, 22, 23, 31, 29, 29, 22, 23

The smallest number is 22, then 23, then 29, then 31:

22, 22, 23, 23, 29, 29, 29, 31

How many numbers are in this set? 8. An even number!

So we find the mean of the 2 numbers in the middle (23 & 29)

We add these numbers and then divide by 2 (because we have 2 numbers)

[tex]\bf{\displaystyle\frac{23+29}{2}}[/tex]

[tex]\bf{\displaystyle\frac{52}{2}}[/tex]

Which is equal to

[tex]\boxed{\bigstar{\text{Answer:{\boxed{\boxed{26}}}}}}[/tex]

Hope everything is clear.

Let me know if you have any questions!

#KeepLearning

:-)

Answer:

Step-by-step explanation:

Frank would need two gallons of maroon painting and one gallon of white painting to paint all his room.

Area of the ceiling:

Assuming the floor has the same area, the total area for the floor and ceiling is 288 square feet.

Area of the door:

Total area in white 144 feet + 21 feet = 165 square feet

Total of gallons

1 gallon equals 400 square feet, which means only one gallon of white painting is required.

Area of one wall:

Considering 1 gallon equals 400 square feet, a total of 2 gallons would be required.

Note: This question is incomplete because the image of the room is missing; below I attach the missing section.

Learn more about area in: https://brainly.com/question/16151549

Answer:

A

Step-by-step explanation:

No need. It’s simple.

B can’t be it because it uses multiplication.

C can’t be it because it makes no sense.

D also makes no sense.

Answer:

A = 150cm²

Step-by-step explanation:

A=6a2=6·52=150cm²

well, let's assume a year has 365 days, so 75 days is simply 75/365 of a year.  We also know that your loan was $650 and you paid back $680 or namely 30 bucks extra, so the interest on those $650 is really 30 bucks.

[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\dotfill &\$30\\ P=\textit{original amount deposited}\dotfill & \$650\\ r=rate\to r\%\to \frac{r}{100}\\ t=years\to \frac{75}{365}\dotfill &\frac{15}{73} \end{cases} \\\\\\ 30 = (650)(\frac{r}{100})(\frac{15}{73})\implies 30=\cfrac{9750r}{7300}\implies 30=\cfrac{195r}{146}\implies 4380=195r \\\\\\ \cfrac{4380}{195}=r\implies \stackrel{\%}{22.46}\approx r[/tex]

Answer:

sinΘ = [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

using the identity

sin²x + cos²x = 1  ( subtract cos²x from both sides )

sin²x = 1 - cos²x ( take square root of both sides )

sinx = ± [tex]\sqrt{1-cos^2x}[/tex]

given

cosΘ = - [tex]\frac{\sqrt{5} }{3}[/tex] , then

sinΘ = ± [tex]\sqrt{1-(-\frac{\sqrt{5} }{3})^2 }[/tex]

        = ± [tex]\sqrt{1-\frac{5}{9} }[/tex]

        = ± [tex]\sqrt{\frac{4}{9} }[/tex]

        = ± [tex]\frac{2}{3}[/tex]

since Θ is in quadrant II where sinΘ > 0 , then

sinΘ = [tex]\frac{2}{3}[/tex]

Answer:

Probability is 89.99%

Step-by-step explanation:

divide 252 by 2518 and you get 10.01% but that represents the people who did make the gesture so instead you would minus 252 from 2518 and that would be 252 - 2518 = 2266 then you would divide 2266 by 2518 and you get 2266/2518 = 0.8999 which is equal to 89.99%

Answer:

y = -3x + 1

Step-by-step explanation:

as we can see the y intercept is 1 because on the y- axis (0,1)

for slope it is 3 because rise over run. We rise 3 and run 1 = 3/1 = 3

the slope is negative because of the line

Hope this helps!!

Answer:

y=-3x+1

Step-by-step explanation: