All categories

4 years ago

15 less than a number S is three more than 9 times a number T. Solve for S

Mathematics

1 answer:

lbvjy [14]4 years ago

5 0

Answer:

s = 9t + 18

Explanation:

Set up your equation

s - 15 = 9t + 3

Now get s by itself by adding 15 to both sides

s + 0 = 9t + 3 + 15

s = 9t + 18

If you know the value of t, plug that into the equation to solve further.

You might be interested in

Which expression is equivalent to (8a-3b+7)-(2a+b-4)?

pogonyaev

8a-3b+7-2a-b+4=6a-4b+11

7 0

3 years ago

8. A cellphone company charges $29.99 per month for the first 500 minutes of calls and $0.30 a minute for any calls over the 500

scZoUnD [109]

Answer:

C) $64.49

Step-by-step explanation:

let 'x' = #minutes

cost = 29.99 + 0.3(x-500)

= 29.99 + .3(115)

= 29.99 + 34.50

= $64.49

8 0

3 years ago

PLZ HELP ASAP ILL MARK BRAINLIEST!

icang [17]

Polynomial degree : 2

Leading coefficient : 11

7 0

3 years ago

Read 2 more answers

Given the sequence 1/2 ; 4 ; 1/4 ; 7 ; 1/8 ; 10;.. calculate the sum of 50 terms

miv72 [106K]

Hint :-

Break the given sequence into two parts .
Notice the terms at gap of one term beginning from the first term .They are like $\dfrac{1}{2},\dfrac{1}{4},\dfrac{1}{8}$ . Next term is obtained by multiplying half to the previous term .
Notice the terms beginning from 2nd term , $4,7,10,13$ . Next term is obtained by adding 3 to the previous term .

Solution :- 

We need to find out the sum of 50 terms of the given sequence . After splitting the given sequence ,

$\implies S_1 = \dfrac{1}{2},\dfrac{1}{4},\dfrac{1}{8}$ .

We can see that this is in Geometric Progression where 1/2 is the common ratio . Calculating the sum of 25 terms , we have ,

$\implies S_1 = a\dfrac{1-r^n}{1-r} \\\\\implies S_1 = \dfrac{1}{2}\left[ \dfrac{1-\bigg(\dfrac{1}{2}\bigg)^{25}}{1-\dfrac{1}{2}}\right]$

Notice the term $\dfrac{1}{2^{25}}$ will be too small , so we can neglect it and take its approximation as 0 .

$\implies S_1\approx \cancel{ \dfrac{1}{2} } \left[ \dfrac{1-0}{\cancel{\dfrac{1}{2} }}\right]$

$\\\implies \boxed{ S_1 \approx 1 }$

$\rule{200}2$

Now the second sequence is in Arithmetic Progression , with common difference = 3 .

$\implies S_2=\dfrac{n}{2}[2a + (n-1)d]$

Substitute ,

$\implies S_2=\dfrac{25}{2}[2(4) + (25-1)3] =\boxed{ 908}$

Hence sum = 908 + 1 = 909

7 0

3 years ago

Phillip is rolling two number cubes. How many different ways can he roll the number cubes and get a sum of 6?

Verizon [17]

Answer:

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers