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4 years ago

Solve: X-(15X-6)=104

Mathematics

2 answers:

IrinaVladis [17]4 years ago

7 0

Answer:

x=-7

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

x−(15x−6)=104

x+−1(15x−6)=104(Distribute the Negative Sign)

x+−1(15x)+(−1)(−6)=104

x+−15x+6=104

(x+−15x)+(6)=104(Combine Like Terms)

−14x+6=104

Step 2: Subtract 6 from both sides.

−14x+6−6=104−6

−14x=98

Step 3: Divide both sides by -14.

−14x/-14 = 98/-14

x=-7

Hope this helps!

djverab [1.8K]4 years ago

5 0

Answer:

x=-7

Step-by-step explanation:

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3 years ago

100pts: Convert the following expression into postfix notation: 4*(5/2^3-4)+4*(9-2)

choli [55]

Answer:

4 5 2 3 ^ / 4 - × 4 9 2 - × +

Step-by-step explanation:

Start by putting a left parenthesis "(" on the operator stack, and adding a right parenthesis ")" to the end of the input expression.

Conversion algorithm

Copy any operands to the output string until an operator is encountered. Pop operators from the operator stack to the output string if they have equal or higher precedence, then put the operator encountered onto the operator stack. When a right parenthesis is encountered, pop operators from the operator stack to the output string until a left parenthesis is found. Drop that left parenthesis.

Given example

For the given expression, we copy 4 and 5 to the output, push / to the operator stack, copy 2 to the output, push ^ to the operator stack, and copy 3 to the output. At this point, the output is ...

4 5 2 3

and the operator stack is

( * ( / ^ . . . . . top item is on the right

When we encounter the - sign, we write the ^ and / operators to the output string and push - to the operator stack. At this point, the state is ...

output: 4 5 2 3 ^ / operator stack: ( * ( -

Next, we copy 4 to the output. When we encounter the right parenthesis, we copy - to the output and pop the ( from the operator stack.

The next input symbol, +, is lower precedence than the remaining * on the operator stack, so we output the * and push the +. Now we have ...

output: 4 5 2 3 ^ / 4 - * operator stack: ( +

The output string so far completes the evaluation of the first term of the input expression.

Now, we copy out 4, push * and (, copy out 9, push -, copy out 2. The right parenthesis triggers the popping of the - to the output, and the final right parenthesis that we added at the start pops the * and + from the operator stack. Our final output is ...

4 5 2 3 ^ / 4 - × 4 9 2 - × +

_____

The result is 14.5.

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3 years ago

Read 2 more answers

Two waiters at a cafe each served 10 large fruit smoothies. The amount in each large smoothie is shown below. Witch Waiter's smo

joja [24]

Answer:

Waiter’s B Large Smoothies showed less variability.

Step-by-step explanation:

First, we have to find the mean for Waiter A’s and Waiter B’s Large Smoothies.

1) Mean

Waiter A

19.1 + 20.1 + 20.9 + 19.6 + 20.9 + 19.5 + 19.2 + 19.4 + 20.3 + 20.9 = 199.9

199.9 / 10 = 19.99

Waiter B

20.1 + 19.6 + 20.0 + 20.5 + 19.8 + 20.0 + 20.1 + 19.7 + 19.9 + 20.4 = 200.1

200.1 / 10 = 20.01

Now, we have to use the Mean Absolute Deviation (MAD) to find which waiter’s smoothies showed less variability.

Waiter A

I19.99 - 19.1I = 0.89

I19.99 - 20.1I = 0.11

I19.99 - 20.9I = 0.91

I19.99 - 19.6I = 0.39

I19.99 - 20.9I = 0.91

I19.99 - 19.5I = 0.49

I19.99 - 19.2I = 0.79

I19.99 - 19.4I = 0.59

I19.99 - 20.3I = 0.31

I19.99 - 20.9I = 0.91

0.89 + 0.11 + 0.91 + 0.39 + 0.91 + 0.49 + 0.79 + 0.59 + 0.31 + 0.91 = 6.3

6.3 / 10 = 0.63

Waiter B

I20.01 - 20.1I = 0.09

I20.01 - 19.6I = 0.41

I20.01 - 20.0I = 0.01

I20.01 - 20.5I = 0.49

I20.01 - 19.8I = 0.21

I20.01 - 20.0I = 0.01

I20.01 - 20.1I = 0.09

I20.01 - 19.7I = 0.4

I20.1 - 19.9I = 0.2

I20.1 - 20.4I = 0.3

0.09 + 0.41 + 0.01 + 0.49 + 0.21 + 0.01 + 0.09 + 0.4 + 0.2 + 0.3 = 2.2

2.2 / 10 = 0.22

Now, we just have to compare those numbers.

0.63 > 0.22

So, Waiter B’s smoothies show less variability.

5 0

3 years ago