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Assoli18 [71]
3 years ago
8

Solve the following equations using algebraic operations ( 4x-1=2x+11)

Mathematics
1 answer:
liq [111]3 years ago
6 0

Answer:

x = 6

Step-by-step explanation:

4x-1=2x+11

Subtract 2x from each side

4x-2x-1=2x-2x+11

2x-1 =11

Add 1 to each side

2x-1+1 = 11+1

2x = 12

Divide by 2

2x/2 = 12/2

x = 6

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An item is priced at $14.32. If the sales tax is 6%, what does the item cost including sales tax
Elina [12.6K]

Answer:

15.1792 or 15.18

Step-by-step explanation:

14.32 timex 6% or .06 is 0.8592. You add .8592 to 14.32 and get 15.1792 or 15.18 :)

8 0
3 years ago
Read 2 more answers
Elias received a W-2 showing total compensations of $36,038. What is the amount of FICA tax he paid for the year? A) $522.55 B)
e-lub [12.9K]
FICA or Federal Insurance Contributions Act is composed of social security tax and medicare tax. Hence, we need to add these taxes to get the FICA tax.Social Security Tax is = 6.2%Medicare Tax is = 1.45%
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Therefore, Elias paid B.) 2,756.91 as FICA tax for the year.
3 0
3 years ago
Can someone please help me with this ASAP‼️ Thank You
AVprozaik [17]

Let x = cost of the dishwasher.

The amounts the children are paying are:

Mark =20% = 1/5, so  1/5x

Sorin = 75

Raymond = 1/4x

Stephanie = 75

Kristin = 1/3x

Add them together:

x = 1/5x + 1/4x + 1/3x + 75 + 75

x - ( 1/5x + 1/4x + 1/3x ) = 150

Rewrite fractions with common denominator:

x - ( 12/60x + 15/60x + 20/60x ) = 150

60/60x - 47/60x = 150

13/60x = 150

x = 150/1 • 60/13

x = 9000/13

x = 692.31

The total cost of the dishwasher is $692.31

Now calculate the amount each child pays:

Mark = 1/5 x = 692.31/ 5 = $138.46

Sorin = $75.00

Raymond = 1/4 x = 692.31 / 4 = $173.08

Stephanie = $75.00

Kristin =  1/3 x = 692.31 / 3 = $230.77

5 0
4 years ago
A mango farm contains 1250 mango trees. Each tree produces an average of 160 mangoes during the summer. How many such mango farm
Bingel [31]
A mango farm has 1250 mango trees......each tree produces 160 mangoes...so each farm produces : 1250 * 160 = 200,000 mangoes

8,000,000 / 200,000 = 40 <== u would need 40 mango farms
6 0
4 years ago
Help ! solve the following system of equations <br><br> -9x+2y=-13<br><br> 2x-9y=20
Stella [2.4K]

Answer: x = 1, y = -2

Step-by-step explanation:

-9x+2y=-13

x= 13/9 + 2/9y

2x-9y=20

2(13/9+2/9y)-9y=20

<em>Substitute y with -2.</em>

<em />

x= 13/9+2/9(-2)

<em>After solving you'll see that 1 is a possible solution for x.</em>

<em />

Check your answer

-9x+2y=-13

-9x1+2(-2) = -13

2x-9y=20

2x1-9(-2) = 20

-13 = -13

20 = 20

Therefore, x=1 and y=-2

5 0
3 years ago
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