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g100num [7]
2 years ago
13

Solve the equation the square root of the quantity x plus 4 minus 3 equals 1 for the variable. Show each step of your solution p

rocess.
Mathematics
2 answers:
sleet_krkn [62]2 years ago
6 0

Answer:

I know this is late for you but stick with me for others:

(| = the end of the √) The Expression is: √x + 4 | - 3 = 1

First, add 3 to both sides: √x+4(-3+3) | = 1 + 3 = (√x+4 = 4)

Now, since the √ is over the x and the 4, you square both sides: (√x+4)^2=4^2 = (x+4 = 16)

After that, you take away 4 from both sides: x (+4 -4) = 16 - 4 = (x = 12)

So, the answer is: x=12

Hope I helped!

meriva2 years ago
3 0

Step-by-step explanation:

We should express this word problem in an equation form:

  square root of the quantity x plus 4 minus 3 equals 1 for the variable

              √x                                  +    4       -     3      =      1

The equation is:

             √x + 4 -3  = 1

              √x + 1  = 1

Now add (-1) to both sides;

             √x + 1 + (-1) = 1 + (-1)

              √x = 0

Square both sides

              (√x)² = 0²

                 x = 0    

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The following table shows the salary of 7 people in an office last year.
kotegsom [21]

Answer:

a.  £24,714.29

b. £16,833.33

Step-by-step explanation:

The calculation of mean income is given below:-

Mean income = Total addition of salaries ÷ Number of workers

= £9,500 + £25,000 + £13,250 + £72,000 + £12,750 + £29,500 + £11,000

= £173,000 ÷ 7

= £24,714.29

Now,

the Mean income excluding Deva's salary:

= Formula of Mean income

= Total addition of salaries excluding Deva salary ÷ Number of workers

= (£9,500 + £25,000 + £13,250 + £12,750 + £29,500 + £11,000) ÷ 6

= £101,000 ÷ 6

= £16,833.33

7 0
2 years ago
A worker has a base pay of $20 per hour, gets $3 more per hour after 8 hours, and gets $4 more
GalinKa [24]

Answer:

177 $

Step-by-step explanation:

20 x8 = 160

3x3= 9

4x2=8

8+9+160= 177

6 0
2 years ago
On any given day, Juan will break even if he earns as much money as he spends. On day 5, he records the expression 16+ (-16). Do
sertanlavr [38]

Answer:

Yes. Juan will break even because 16 and -16 are a zero pair. -16 is the additive inverse of 16. So the sum will be 0.

6 0
2 years ago
Read 2 more answers
A house on the land measures 45 feet by 38 feet,a wooded area covers 118 feet by 60 feet,and the front yard is 78 feet by 40 fee
den301095 [7]
Rectanglearea=legnth timees width
triagnlearea=1/2base times height

ok so we find volume of entier land first

we can cut into triangle an rectangle

triangle=height=650-200=450
base=600
area=1/2*600*450=135000 ft^2

rectangle=200 times 600=120000

add
135000+120000=255000ft^2


find other areas and subtract
areahouse=45*38=1710
areawooded=118*60=7080
frontyard=78*40=3120
add
1710+7080+3120=11910

minus

255000-11910=243090

how many acres are farmed

43560ft^2=1acre
divide both sides by 43560
1ft^2=1/43560 acre

multiply both sides by 243090
243090ft^2=243090/43560acre=5.5805acre=5.6acre rounded

answer is 5.6 acer


6 0
2 years ago
An aquarium 2 m long, 1 m wide, and 1 m deep is full of water. Find the work needed to pump half of the water out of the aquariu
loris [4]

Answer:

Workdone = 2450Joules

Step-by-step explanation:

Let the top of the aquarium be at height 0.

Let the bottom of the aquarium be at height 1

F = mg = 2p◇x × g

F= 2000◇x × 9.8

F = 19600◇x

Workdone = 19600xdx

Total workdone = Integral (limits 0.5 -0)19600×dx

Total work = [9800x^2]^0.5

Total work= 9800× 0.5^2 = 2450 Joules

6 0
2 years ago
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