Find the 15th term of the arithmetic sequence 2x+2, 8x-3, 14x-8, ...

Answer:

i) p = 4

ii) p = 8

iii) p = 12

Step-by-step explanation:

Here, we need to understand the initial relation

Mathematically, we have this as;

2.79 * p = c

So let us calculate the value of p for each value of c

i) 2.79p = 11.16

p = 11.16/2.79

p = 4

ii) 2.79p = 22.32

p = 22.32/2.79

p = 8

iii) 2.79p = 33.48

p = 33.48/2.79 = 12

Answer:

7:45

Step-by-step explanation:

Since they both turn red at differnt times, you have to find a multiple to find the time they will be both on

Main St: 7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, 98, 105

Elm St. 15, 30, 45, 60, 75, 90, 105

They will both turn on 105 minutes or 1 hour and 45 minutes from 6

6 + 1 hr 45 min = 7:45

Answer: other than 7

Step-by-step explanation:

Given

Equation is [tex]x^2+7=x^2+?[/tex]

For an equation to have no solution, the missing number can be any number other than 7

because if we put 7 then it justifies the equation i.e. [tex]7=7[/tex] while on the other hand for a number other than 7, it does not justify the equation.

Step-by-step explanation:

given x = 6, y = 9,

[tex]17x + 5.5y = 17(6) + 5.5(9) \\ = 102 + 49.5 \\ = 151.5[/tex]

Answer:

151.5

Step-by-step explanation:

= 17(6) + 5.5(9)

= 102 + 49.5

= 151.5

Hope you got it..

Answer:

as mentioned above we have to solve it by cross multiplication.

Step-by-step explanation:

So,

4(3x-3)=5(2x-2)

12x-12=10x-10

12x-10x=-10+12

2x=2

X=2/2=1 Answer

hope it helps!!

Answer:

x = 1

Step-by-step explanation:

Here's your solution

=> (3x - 3)/5 = (2x - 2)/4

=> 4(3x -3) = 5(2x - 2)

=> 12x - 12 = 10x - 10

=> 2x = 2

=> x = 2/2

=> x = 1

hope it helps

Answer:

The tip for the server is 16%

Step-by-step explanation:

13.6 is 16% of 85.

Answer:

the answer for first is 3

second is 4

Answer:

These dimensions represent area of a shape, or area of each side of a 4 sided 3D shape.

Answer:

if ur talking about 36 divided by 12 in terms of divison then its 3

Step-by-step explanation:

I don't know if im right though

Answer:

I'm not sure for the first one but for the second I got 1255.21

Answer: Uhhhh

Step-by-step explanation:

1 hour 30 but stop saying Uhhhh for the answer to some people's questions okay? Thanks!

Answer:

192 and 792

Step-by-step explanation:

Given that

The principal is 600 soles

The Time period is 2 years

The Rate of interest is 16%

We need to find out the simple interest and the total amount paid at the end of 2 years

As we know that

SImple interest is

= Principal × rate of interest × time period

= 600 × 16% × 2

= 192

And, the amount is

= Principal + interest

= 600 + 192

= 792

Answer:

200

Step-by-step explanation:

2*5=10

4*5=20

20*10=200

Answer:

11.1

Step-by-step explanation:

To find the side measurement we have to use trig, and the trig function Cosine, or cos. We use the because cosθ=[tex]\frac{adjecent}{hypotenuse}[/tex]. So cosθ=[tex]\frac{x}{15}[/tex], then to isolate x multiply both sides by 15. Now we have 15cos42=x, plugging this into the equation we get that x=11.1

Answer:

-5

Step-by-step explanation:

for x=-2

f(x)=2(-2)-1

f(x)=-5

Answer:

2410.26

Step-by-step explanation:

This is a bit complicated but, you have to take 3.5% of 2,250 (2,250*0.035=78.75). Then add 78.75 to the total (2,250) (2328.75 new total). Next take 3.5% of the new total and repeat that process and you end up with 241.26.

Answer:

17

Step-by-step explanation:

Answer:

m∠JKL = 120°

Step-by-step explanation:

The measure of an angle formed by a two tangents drawn from a point outside the circle is the the difference of the intercepted arcs

minor arc JL = 60     major arc JL =  360 - 60 = 300

m∠JKL = 1/2(300 - 60) = 1/2(240) = 120

Answer:

x3=y

Step-by-step explanation:

Answer:

true

Step-by-step explanation:

because it touches the end of the circle it doesn't intersect in more than one

Answer:

$2.96

Step-by-step explanation:

1.15x = 3.40   x = last year's price.  If there price was exactly the same, I would put 1x, but this year's price is 15% or .15 higher.

1.15x = 3.40  Divide both sides by 1.15 and round to the nearest cent.

x = 2.96

Check:

Last year + 15% (.15)

2.96 + .15(2.96)

2.96 + .44 rounded to the nearest cent

3.40

Answer:

The answer's are down below.

Step-by-step explanation:

4 sandwiches and 2 cupcakes are $15.00

5 juices and 4 bagels are $12.50

4 bagels and 5 juices are $11.60

2 bagels and 4 cupcakes are $10.00

Answer:

[tex]a_{n}[/tex] = 3n + 77

Step-by-step explanation:

The nth term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 80 and d = a₂ - a₁ = 83 - 80 = 3 , then

[tex]a_{n}[/tex] = 80 + 3(n - 1) = 80 + 3n - 3 = 3n + 77

Answer:

$800

Step-by-step explanation:

5000 × 8% = $400(interest in a year)

400 × 2 = $800(24 months=2years)

Answer:

A straight angle is the same as half the circle and is 180° whereas a right angle is a quarter of a circle and is 90°. You measure the size of an angle with a protractor. Or could be shown by an arc on the figure to indicate which angles that are congruent