Which is bigger? 1/4 or 34%

I'm reasking a previous question to make it more clear. This is a Linear Equation that I must solve. It includes fractions (the

Ugo [173]

Assuming the equation is:

$\frac{x}{2}-\frac{10x-25}{10}=3(x+3)-(x-14)$

When fractions involve numeric denominators, the fractions can be removed by multiplying (both sides) by the LCM of the denominators.

Here the denominators are 2 and 10, hence the LCM is 10.

Multiply by 10 on both sides, not forgetting to distribute when multiplying on the right side:

$10\frac{x}{2}-10\frac{10x-25}{10}=10*3(x+3)-10(x-14)$

simplify, remember that there are always implied parentheses around numerators and denominators:

$5x-(10x-25)=30(x+3)-10(x-14)$

Now, distribute, i.e. remove parentheses and distribute:

5x-10x+25=30x+90-10x+140

Simplify

-5x+25=20x+230

transpose terms

25-230=20x+5x

solve

x=-205/25=-41/5

In this particular case, we can also take advantage of the term

(10x-25)/10=5(2x-5)/10=(2x-5)/2 which greatly simplifies the solution process, because the LCM will then be 2 instead of 10.

If we do that, the solution will be:

Multiply by 2 on both sides, not forgetting to distribute when multiplying on the right side:

$\frac{x}{2}-\frac{10x-25}{10}=3(x+3)-(x-14)$

simplify, remember that there are always implied parentheses around numerators and denominators:

$2\frac{x}{2}-2\frac{2x-5}{2}=2*3(x+3)-2(x-14)$

$x-(2x-5)=6(x+3)-2(x-14)$

Now, distribute, i.e. remove parentheses and distribute:

$x-2x+5=6x+18-2x+28$

Simplify

-x+5=4x+46

solve

5-46=4x+x

-41=5x

x=-41/5

with the same results.

7 0

4 years ago

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The numerator of a fraction (which is in its simplest form) is 5 less than the denominator. If the numerator is multiplied by 2,

timama [110]

N = d - 5

2n/(d + 16) = n/d - 1/3 n/d
2n/(d + 16) = 2/3 n/d Divide by 2n
1 / (d + 16) = 1/3 d
Here's the tricky part.
d + 16 = 3d the two denominators are equal. the numerators are both 1.
16 = 2d
d = 8
so the numerator is d - 5
n = 8 - 5
n = 3

Let's see if it checks out.
n = 3
d = 8

2*3 = 6
8 + 16 = 24
New fraction 6/24 = 1/4
(3/8 - 1/3 ) = 1/8
3/8 - 1/8 = 1/4 so it checks with the original conditions put on it.

3 0

3 years ago

Last week, a florist sold 715 roses. Of the roses sold, 7 out of every 11 roses were red. How many red roses did she sell?

const2013 [10]

Answer:

455 Red Roses were sold

Step-by-step explanation:

715 * (7/11) = 455

6 0

3 years ago

Orville staples is a painter who earns 30,000 a year. he is single and claims 3 allowances

babunello [35]

Using the information in the table given, the Gross pay, deductions and net pay for Orville staples are :

$30,000
$2340
$1860
$600
$450
$34.50
$15.00
$24700.50

Given the tax time table :

Social security tax = 6.2% of $97,500
Medicare = 1.45% of gross income
State tax = 2% of gross pay
Local tax = 1.5% of gross pay
Gross pay = $30,000

1.) Gross pay, total amount earned prior to tax = $30,000

2.) Using the weekly payroll for singles :

Number of weeks in a year = 52

Weekly earning = 30000/52 = 600

The Federal income tax = $25 per week (3 allowances claimed)

Total FIT = $45 × 52 = $2340

3.) Social security tax :

SS tax = 6.2% × $30,000 = $1860

4.) State tax :

2% of gross pay

2% × $30,000 = $600

5.) Local tax :

1.5% × 30,000 = $450

6.) Medical dues = $34.50

7.) Others : = $15.00

8.) Net pay = Gross pay - Total deduction

Net pay = 30000 - $(2340+1860+600+450+34.50+15)

Net pay = 30,000 - 5299.50 = $24700.50

Learn more :brainly.com/question/24919039

8 0

3 years ago

The graph below belongs to which function family ?

Phoenix [80]

This is an absolute value function.

6 0

3 years ago

Read 2 more answers