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3 years ago

What is the simplified expression for - 3(2x - 5)

Mathematics

1 answer:

rusak2 [61]3 years ago

6 0

Answer:

-6x + 15

Step-by-step explanation:

This should be your answer if you are doing distributive property.

Please mark as brainliest! <3

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vampirchik [111]

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3 years ago

Read 2 more answers

Stan, a local delivery driver is paid $3.50 per mile driven plus a daily amount of $75. On Monday he is assigned a route that is

Maurinko [17]

3.50m+75 for the 30 miles, he is being paid 105 plus the daily amount of 75 which equals to 180$.

4 0

4 years ago

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

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3 years ago

What is the unit rate of 1500 meters in 6 seconds

Neporo4naja [7]

Teo fifty 250 easy divide

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4 years ago

Find the 30th term of the following sequence. 1, 7, 13, 19,.. 174. 175. 180. 181.

shepuryov [24]

The first term a = 1,

Common difference, d: 7 - 1 = 6.

a(n) = a + (n -1)d,

For 30th term. = 1 + (30 -1)*6

= 1 + 29*6 = 1 + 174 = 175

8 0

4 years ago