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3 years ago

Algebra X-10=.003 All steps please

Mathematics

1 answer:

Neporo4naja [7]3 years ago

4 0

Answer:

$x= 10.003$

Step-by-step explanation:

All we have to do is use the addition property of equality to isolate x.

$x-10=.003\\x-10+10=.003\\\\.003 + 10 = 10.003\\x=10.003$

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The sum of series of 4+ 15 + 26 + ….. + 213

Gnom [1K]

Decompose the terms in the sum as

$4 + 15 + 26 + \cdots + 213 = 4 + (4 + 11) + (4 + 2\times11) + \cdots + (4 + 19\times11)$

so there are 20 terms in the sum. Then our sum simplifies to

$4 + 15 + 26 + \cdots + 213 = 4\times20 + (0+1+2+\cdots+19)\times11$

Now, if

$S = 1 + 2 + 3 + \cdots + 17 + 18 + 19$

we can reverse the order of terms to get the same sum,

$S = 19 + 18 + 17 + \cdots + 3 + 2 + 1$

so that doubling up the sum gives

$2S = (1 + 19) + (2 + 18) + \cdots + (18 + 2) + (19 + 1) = 19\times20 \implies S=19\times10=190$

So, our sum evaluates to

$4 + 15 + 26 + \cdots + 213 = 4\times20 + 190\times11 = \boxed{2170}$

5 0

2 years ago

One month melissa rented 12 movies and 2 video games for a total of $29.The next month she rented 3 movies and 5 video games for

nadezda [96]

Answer:the cost of renting one movie is $1.5

the cost of renting one video game is $5.2

Step-by-step explanation:

Let x represent the cost of renting one movie.

Let y represent the cost of renting one video game. One month melissa rented 12 movies and 2 video games for a total of $29. This means that

12x + 2y = 29 - - - - - - -1

The next month she rented 3 movies and 5 video games for a total of 32$. This means that

3x + 5y = 32 - - - - - - - - 2

Multiplying equation 1 by 5 and equation 2 by 2, it becomes

60x + 10y = 145

6x + 10y = 64

Subtracting,

54x = 81

x = 81/54 = 1.5

Substituting x = 1.5 into equation 2, it becomes

3x + 5y = 32

3×2 + 5y = 32

5y = 32 - 6 = 26

y = 26/5 = 5.2

6 0

4 years ago

106 = 4x + 10<br><br>What is the answer to this

Svet_ta [14]

Answer:

Step-by-step explanation:

24 x 4 = 96

96 + 10 = 106

I hope this helps!

3 0

3 years ago

Read 2 more answers

Alan is modeling 2.65÷5 how should he exchang the place value block so he can make 5 equal shares

Ira Lisetskai [31]

The answer is 0.53 blocks by 5s.

4 0

3 years ago

Gavin’s gross pay is $3851. his deductions total is $756.72. what percent of his gross pay is take home pay.

kvv77 [185]

Gross pay - Total deductions = net pay

$3851-$756.72 = $3094.28

Divide total net pay by 7(days) = $442.04

7 0

4 years ago