What is the explicit
equation for this
series?
2, 8, 14,

Answer:

[tex]x=-1[/tex]

Step-by-step explanation:

1) Subtract 9x from both sides.

[tex]14x+2-9x=-3[/tex]

2)  Simplify  14x+2-9x to 5x+2.

[tex]5x+2=-3[/tex]

3) Subtract 2 from both sides.

[tex]5x=-3-2[/tex]

4) Simplify  -3-2 to  -5.

[tex]5x=-5[/tex]

5) Divide both sides by 5.

[tex]x=-1[/tex]

Therefor, the answer is x = -1

Answer:

0.015625

Step-by-step explanation:

8⁴×8⁻⁶

= 8⁴⁺⁻⁶ = 8⁻² = 0.015625

Answer:

x/64 hope this helps

Step-by-step explanation:

Answer:

5/8 = 0.625

Step-by-step explanation:

I have attached a picture of me solving the steps. Hope this helps, thank you !!

Answer:

14 children

Step-by-step explanation:

If we know the ration, and we are given the adults, we can set up a proportion in order to solve for the amount of children there are.

5:2=35:x

5x=35*2

5x=70

x=14

There are 14 children

Complete question :

35%

Answer:

Step-by-step explanation:

Selling price = $68

Markdown price = $44.20

Percentage markdown :

Markdown / selling price * 100%

((68 - 44.20) / 68) * 100%

(23.8 / 68) * 100%

0.35 * 100%

= 35%

Answer:

.0666

Step-by-step explanation:

Answer:

the answer is 2/15

Step-by-step explanation:

multiply the denominators by each other to get 15

so in 2/3 multiply 3 by 5 and in 1/5 multiply 5 by 3. 2•1 is 2 so you will get 2/15

Given:

Jonny and Faheem share some money in the ratio 3:5.

Faheem gets £12 more than Jonny.

To find:

The amount that Jonny gets.

Solution:

Jonny and Faheem share some money in the ratio 3:5.

Let Jonny and Faheem get 3x and 5x.

Different between their amounts is

[tex]5x-3x=2x[/tex]

Faheem gets £12 more than Jonny. It means the difference between their amounts is equal to £12.

[tex]2x=12[/tex]

[tex]x=\dfrac{12}{2}[/tex]

[tex]x=6[/tex]

The amount that Jonny gets is

[tex]3x=3(6)[/tex]

[tex]3x=18[/tex]

Therefore, Jonny gets £18.

Answer:

7, 10 and 15

Step-by-step explanation:

Given

[tex]S_1= 3[/tex]  --- Students already enrolled

[tex]Total = 10\ (less)[/tex]

Required

Determine the additional number of students needed for the teacher not to cancel the class

First, we need to calculate the number of students for the teacher to cancel the class.

Represent this with x.

So, we have:

[tex]S_1 + x < Total[/tex]

Make x the subject

[tex]x < Total - S_1[/tex]

Substitute values for Total and S1

[tex]x < 10 - 3[/tex]

[tex]x < 7[/tex]

This means that if less than 7 additional students come to the class, the teacher will cancel the class.

So, for the teacher not to cancel the class, the students must be 7 or greater (i.e. 7, 8, 9, 10....)

Answer:

it's A

Step-by-step explanation:

just did it made 80

Answer:

heyy hello how r u? I hope u r fine

Answer:

6*R

Step-by-step explanation:

because if R is the amount of posters you can do the 6 multiplied by the R to help

Step-by-step explanation:

Using Trignometry,

tan77° = Opposite/Adjacent = FG/GE.

Therefore FG = GEtan77°

= (2.6)tan77° = 11.3 feet.

Given:

s is inversely proportional to t.

When s = 0.5, t = 7.

To find:

The value of s when t=0.8.

Solution:

s is inversely proportional to t.

[tex]s\propto \dfrac{1}{t}[/tex]

[tex]s=\dfrac{k}{t}[/tex]       ...(i)

Where, k is the constant of proportionality.

Putting s=0.5 and t=7, we get

[tex]0.5=\dfrac{k}{7}[/tex]

[tex]0.5\times 7=k[/tex]

[tex]3.5=k[/tex]

Putting k=3.5 in (i), we get

[tex]s=\dfrac{3.5}{t}[/tex]

This is the equation of proportionality.

Putting t=0.8, we get

[tex]s=\dfrac{3.5}{0.8}[/tex]

[tex]s=4.375 [/tex]

Therefore, the value of s is 4.375 when t=0.8.

Answer:

C. (2,-2)

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

their alternate exterior angles so they are equal

9x + 12 = 120

9x = 108

x = 12

Answer:

I think c

Step-by-step explanation:

plz make me brainliest

Answer:

157.47km²

Step-by-step explanation:

Given the following

base of 18.1 kilometres

height of 17.4 kilometres

Area of the triangle = 1/2 * base * height

Area of the triangle = 1/2 * 18.1 * 17.4

Area of the triangle = 314.94/2

Area of the triangle = 157.47km²

Hence the area of the triangle is 157.47km²

Answer:

yes

Step-by-step explanation:

2*24.50=49 (two shirts)

18.90 (pair of shorts)

49+18.90=67.90

she can spend 70, means she can buy all of those and she still has 2.10  

Answer:

y=-2x+6

Step-by-step explanation:

Did on Calculator.

Answer:

its really simple x is increasing by 1 and y is decresing by 2

Step-by-step explanation:

Answer:

-2b,  b/12,  -0.9b

Step-by-step explanation:

I understand this is late, but hopefully, it'll help someone who needs it, have a good day

Answer:

A Is your answer.

Step-by-step explanation:

24-79/12-2

Answer:

64,512 m3

Step-by-step explanation:

3 1

​  

(base area)(height) =  3 1

​  

(64⋅64)(48)  =65,536

​  

The volume of the building is 64512 cubic meters if the pyramid that's cut off in a plane parallel to its base.

In geometry, it is defined as the shape having a square base with equal sides length and all the vertex of the squares joints at the top which is perpendicular to the center of the square.

We know volume for the right square pyramid is given by:

[tex]\rm V= \frac{1}{3} b\times h[/tex]

Volume for the cut off portion:

[tex]\rm v = \dfrac{1}{3}\times16\times16\times12[/tex]

v = 1024 cubic meters

Volume for the completer pyramid"

[tex]\rm V=\dfrac{1}{3}\times64\times64\times48[/tex]

V = 65536 cubic meters

Volume of the building = 65536 - 1024

= 64512 cubic meters

Thus, the volume of the building is 64512 cubic meters if the pyramid that's cut off in a plane parallel to its base.

Learn more about the right square pyramid here:

brainly.com/question/13057463

#SPJ2

Answer:

d. raíz de 44

[tex] \sqrt{48 \\ } [/tex]

8y + x + 12

other then that, you cannot further simplify this, nor can you factor because the greatest common factor for all of them is just 1

Answer:

-29/3 i think

Step-by-step explanation:

Answer:

1440

Step-by-step explanation:

1440 because u have multiply 120x12 because there r 12 months