simplify 27-{ 9+(12-5)÷4} with solution​

Answer:

[tex]a_5= 14[/tex]

[tex]a_{20}= 80[/tex]

[tex]a_{18}= 340[/tex]

Step-by-step explanation:

Solving (a):

We have:

[tex]a_1=2[/tex] --- first term

[tex]d = 5 -2 = 3[/tex] common difference

The 5h term is:

[tex]a_n= a_1 + (n - 1)d[/tex]

[tex]a_5= 2+ (5 - 1)*3[/tex]

[tex]a_5= 14[/tex]

Solving (b):

We have:

[tex]a_1 = 4[/tex] --- first term

[tex]d = 8 -4 = 4[/tex] common difference

The 20h term is:

[tex]a_n= a_1 + (n - 1)d[/tex]

[tex]a_{20}= 4+ (20 - 1)*4[/tex]

[tex]a_{20}= 80[/tex]

Solving (c):

We have:

[tex]a_1 = 0[/tex] --- first term

[tex]d = 20 -0 = 20[/tex] common difference

The 18th term is:

[tex]a_n= a_1 + (n - 1)d[/tex]

[tex]a_{18}= 0+ (18 - 1)*20[/tex]

[tex]a_{18}= 340[/tex]

Answer:

8 =x

Step-by-step explanation:

- 18 = -3x + 6

Subtract 6 from each side

-18-6 = -3x+6-6

-24 = -3x

Divide each side by -3

-24/-3 = -3x/-3

8 =x

Answer:

x= 8

Step-by-step explanation:

[tex]\sf{}[/tex]

=> -3x+6 = -18

=> -3x+6-6= -8-6

=> -3x= -24

=> x= 8

Answer:

4^5/4^2

Step-by-step explanation:

We know 1/a^b = a^-b

a^b/ a^c = a^(b-c)

1/4^3   = 4^-3

4^2/4^5 = 4^(2-5) = = 4^-3

4^5/4^2 = 4^(5-2) = 4^3

4^-3

Answer:

[tex]4^{5}/5^{2}[/tex] = not the same

Step-by-step explanation:

you have the equations

[tex]1/4^{3} = 0.015625\\\\4^{2}/4^{5} = 16/1024 = 0.015625\\\\4^{5}/4^{2} = 1024/16 = 65\\\\4^{-3} = 0.015625[/tex]

Answer:

it should be letter c 5/3 I could be wrong but I hope this help

Answer:

1 and 1/25

Step-by-step explanation:

Answer:

x = 2 is the solution to x + 1.5 = 3.5

Step-by-step explanation:

x + 1.5 = 3.5

   -1.5      -1.5

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

x = 2

Answer:

y = 2/5x + 1/5

Step-by-step explanation:

y = 2/5x + b

-1 = 2/5(-3) + b

-1 = -6/5 + b

1/5 = b

Step-by-step explanation:

When adding two fractions with different bases (bottom numbers), we can use this function:

[tex]\frac{a}{b} + \frac{c}{d} = \frac{ad + cb}{bd}[/tex]

So, to apply this to the given question:

[tex]\frac{x+3}{x-6} +\frac{1}{x-2}[/tex]

= [tex]\frac{(x+3)(x-2)+(1)(x-6)}{(x-6)(x-2)}[/tex]

From the given answers, we see we don't need to simplify the resulting base number, which makes things a lot easier.

= [tex]\frac{[(x*x) + (x*-2)+(3*x)+(3*-2)]+(x-6)}{(x-6)(x-2)}[/tex]

= [tex]\frac{[x^2 -2x+3x-6]+(x-6)}{(x-6)(x-2)}[/tex]

= [tex]\frac{x^2 -2x+3x-6+x-6}{(x-6)(x-2)}[/tex]

= [tex]\frac{x^2 +2x-12}{(x-6)(x-2)}[/tex]

Now if we wanna be a little smart, we can see that from here, the only answer that has x^2 and something else, is A. But, just for show, lets factor.

= [tex]\frac{x(x+2)}{(x-6)(x-2)}[/tex]

Answer:

A) [tex]\frac{x(x+2)}{(x-6)(x-2)}[/tex]

Answer:

F = 27

Step-by-step explanation:

50/2 = (F - 3) + 1

25 = F - 2

F = 27

that's what I got, you can confirm if it's correct or not... I'm not sure

have a nice dayʘ‿ʘ

Subtract the difference form the total:

717 - 67 = 650

Divide the remaining amount by 2:

650/2 = 375

The bench cost$375

Answer:

The answer is 72.

I am right .

Answer:

6(5+k)

Step-by-step explanation:

The sum of 5  and k

5+k

6 times the sum

6(5+k)

Hi

let's call X the initial deposit.

the interest rate is 5.2 %

so each year X increase by 1.052.

so we have : X *1.052^7 =2300

X = 2300/1.052^7

X = 1612,94

please note that the deposit was rounded to the next cent. as the result would be 1612,937...

Answer:

1686.22

Step-by-step explanation:

1686.22

 2300=P(1+(0.052x7))  

2300=P1.364  

P=2300/1.364  

=1686.217...  

=1686.22..

=1686 for the nearest dollar

Answer:

x=15, y=5

Step-by-step explanation:

x+y=20

x-y=10

Adding both equations;

(x+x) + (y-y) = 20+10

2x = 30

x = 30/2 = 15

Substitute x=15 into x+y=20

y= 20-x = 20-15= 5

4,6,8,10 are in A.P

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

[tex]\\ \rm\Rrightarrow a_20=4+(20-1)2[/tex]

[tex]\\ \rm\Rrightarrow a_20=4+19(2)[/tex]

[tex]\\ \rm\Rrightarrow a_20=4+38[/tex]

[tex]\\ \rm\Rrightarrow a_20=42[/tex]

There is no any image of rectangle

Answer:

x = 8

General Formulas and Concepts:

Pre-Algebra

Equality Properties

Step-by-step explanation:

Step 1: Define

Identify

6x - 6 = 42

Step 2: Solve for x

Answer: -6

Step-by-step explanation:

We can create an equation based on the info given.

6-6x=42 Now you solve for x, the unknown number.

-6      -6      Subtract 6 on both sides

-6x=36

/-6   /-6       Divide by -6 on both sides

x=-6

The number is -6.

Solution :

Here the probability that exactly 28 out of 304 students will not graduate on time. That is

P (x = 28)

By using the normal approximation of binomial probability,

[tex]$P(x=a) = P(a-1/2 \leq x \leq a+1/2)$[/tex]

∴ [tex]$P(x=28) = P(28-1/2 \leq x \leq 28+1/2)$[/tex]

                   [tex]$=P(27.5 \leq x \leq 28.5)$[/tex]

That is the area between 27.5 and 28.5

Therefore, the correct option is (e). Area between 27.5 and 28.5

Step-by-step explanation:

cost of 5 pen is Rs 1200,

cost of 1 pen is 1200/5 = Rs 240

Answer:

Rs 240

Step-by-step explanation:

1200÷5=240

Answer:

√154/π

Step-by-step explanation:

thể tích nón = thể tích hình chóp

1/3πr².h=1/3S.h

πr²=154(rút gọn h và 1/3)

=> r=√154/π

The radius of the cone is 7 cm if the cone and a pyramid have equal heights and volumes.

It is defined as a three-dimensional shape in which the base is a circular shape and the diameter of the circle decreases as we move from the circular base to the vertex.

[tex]\rm V=\pi r^2\dfrac{h}{3}[/tex]

We have:

A cone and a pyramid have equal heights and volumes.

154 = πr²

π = 22/7

r = 7 cm

Thus, the radius of the cone is 7 cm if the cone and a pyramid have equal heights and volumes.

Learn more about the cone here:

brainly.com/question/16394302

#SPJ2

Answer:

30 cedis

Step-by-step explanation:

todays earning = yesterdays earning * 60/100

50 * 60/100 =30

Answer:

C

Step-by-step explanation:

The equation that represents the table is y=4x+1

Answer:

The answer for this question is 5

Step-by-step explanation:

xx is the Roman number of 20

Answer:

Answer A

Step-by-step explanation:

[tex]\displaystyle \lim_{n \to -\infty} (3x^3+28)=-\infty\\\\minimum\ of \ f(x)=6\\\\Answer\ A[/tex]

Answer:

I got 3.5%

Step-by-step explanation:

Hope this helps