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garri49 [273]
3 years ago
7

1/6(x-5)=1/2(x+6) what is the solution to this equation

Mathematics
2 answers:
Alisiya [41]3 years ago
5 0

Step-by-step explanation:

1/6×-5/6=1/2×+3

cross multiply

6(×+3)=2(×-5)

6x+18=2×-10

group like terms

6x-2×=-10-18

4×=-28

×=7

Alexandra [31]3 years ago
3 0

Answer:

Exact Form:

x= -23/2

Decimal:

x= -11.5

Mixed Number:

x= -11/2

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable

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Financial planners recommend that families save about 5% of their take-home pay. Ed and Sherrie save $90 each pay period from th
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Answer:

Ed and Sheerie save 7.5%.

Step-by-step explanation:

This question can be solved using a rule of three.

Ed and Sherrie save $90 each pay period from their combined paychecks, which total $1200. What percent do Ed and Sherrie save?

How much of $1200 is $90? $1200 is 100% = 1, $90 = x. So

$1200 - 1

$90 - x

1200x = 90

x = \frac{90}{1200}

x = 0.075

Ed and Sheerie save 7.5%.

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3 years ago
Betty has several of the standard six-sided dice that are common in many board games. If Betty rolls one of these dice, what is
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Since she is rolling 1 six sided dice the chances of her rolling a 3 are 1:6 because, she is trying to land on 3 not 3 numbers.
7 0
2 years ago
Which number line shows the solution set for |p-3|=9?
Mademuasel [1]

Answer:

Option b

p = -6 or p = 12

Step-by-step explanation:

The absolute value is a function that transforms any value x into a positive number.

Therefore, for the function f(x) = |x|  x> 0 for all real numbers.

Then the equation:

|p-3| = 9 has two cases

(p-3) = 9    if h > 3  (i)

-(p-3) = 9    if h < 3 (ii)

We solve the case (i)

p = 9 + 3\\p = 12

We solve the case (ii)

-p +3 = 9\\p = 3-9\\p = -6

Then the solution is:

p = -6 or p = 12

3 0
3 years ago
Could someone please list all of the basic derivative rules?
olchik [2.2K]

Answer:

The sum rule is f' + g'

The difference rule is f' − g'

The product rule is f g' + f' g

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5 0
2 years ago
Researchers want to investigate if students retain more information if it printed on blue paper rather than white paper. They re
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Answer:

Stratified design with color of paper as the blocks

Step-by-step explanation:

The experimental design that this question uses is the stratified design with color of paper as the blocks

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The students are of different school levels, elementary, high school and middle school. Each of these levels have 100 students. The students in each levels are halved and each half is randomly assigned information on either a white paper or a blue paper.

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2 years ago
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