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mario62 [17]
3 years ago
11

|x + 9| - 4 = 2x" align="absmiddle" class="latex-formula">
Find the find the solutions
​
Mathematics
1 answer:
Setler [38]3 years ago
3 0

Answer:

x = 5  when x >=-9

Step-by-step explanation:

| x + 9 | - 4 = 2x

x + 9 - 4 = 2x

x - 2x = 4 - 9

-x = - 5

x = 5

x < - 9 no solution

| x + 9 | - 4 = 2x

| -10 + 9 | - 4 = 2(-10)

| -1 | - 4 = -20

1 - 4 = -20

-3 = -20

x >= -9 no solution only x = 5

| x + 9 | - 4 = 2x

| -9 + 9 | - 4 = 2(-9)

| -1 | - 4 = -18

1 - 4 = -18

-3 = -18

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Ormond Oil company wants to paint one of its cylindrical
Elenna [48]

Answer:

the company must buy 22 gallons to paint this entire area

Step-by-step explanation:

The circumference of the tank is given and is C = 2(pi)r, where r is the area.                                                                              

                                                                                                             118 ft

Here the circumference is C = 2(pi)(r) = 118 ft, which   leads to r = ------------ ≈

18.79 ft ≈ r                                                                                                     2(pi)

The area of the sides is A = (circumference)(height), or approximately

(118 ft)(50 ft) = 5900 ft², and the area of the top is A = πr², which here comes to (π)(18.79 ft)² ≈ 1109 ft².  Combining these two sub-areas, we get:

A(total) = 1109 ft² + 5900 ft² ≈ 7009 ft²

To determine how many gallons of paint will be needed to paint only the top and sides, we divide 7009 ft² by the coverage rate, which is

320 ft²

-----------

1 gallon

which results in:

7009 ft²

----------------------  ≈  21.9 gallons

320 ft² / gallon                          

Since the paint comes only in full gallon cans, the company must buy 22 gallons to paint this entire area.                                                        

4 0
3 years ago
Olivia decides to hire an electrician. The electrician charges $35 to come out to Olivia's
atroni [7]

Answer:

Step-by-step explanation:

Total cost

C (x) = 35+ 60x

Where,

Fixed cost= $35

Variable cost = 60x

x= number of hours of work

Total cost is the addition of fixed and variable cost

C (x) = 35+ 60x

C(5)= 35 + 60(5)

= 35 + 300

=335

C(5) = 335

C(5) = 335 is Olivia's total cost of hiring the electrician

x=5 is the electrician's number of hours of work

35= fixed cost of hiring the electrician

60(5) = 300 is the variable cost of hiring the electrician for 5 hours

5 0
3 years ago
To reach a vacation spot, the Jones family first traveled by plane and then drove the
navik [9.2K]

The distance flown by plane is 750 kilometers.

Step-by-step explanation:

Let,

Distance traveled by plane = x

Distance traveled by car = y

Total distance = x+y

According to given statement;

The distance by car was 125 kilometers less than the  distance by plane.

y = x - 125    => x=y+125  Eqn 1

The total distance was 500 kilometers less than three times the distance traveled by car.

Total distance = 3y - 500

x+y=3y-500   Eqn 2

Putting value of x from Eqn 1;

(y+125)+y=3y-500\\y+y+125=3y-500\\2y=3y-500-125\\2y-3y=-625\\-y=-625\\y=625

Putting y=625 in Eqn 1

x=625+125\\x=750

The distance flown by plane is 750 kilometers.

Keywords: linear equations, substitution method

Learn more about linear equations at:

  • brainly.com/question/10435816
  • brainly.com/question/10435836

#LearnwithBrainly

3 0
3 years ago
5-x=3 work out the value of 3x squared
kati45 [8]

Answer:

z0mb13br41n5f1r3k1ng

Step-by-step explanation:

answer is 2

8 0
3 years ago
Three Texas drovers met on a highway and began to dicker as follows:
Alik [6]

Answer:

  • Jim's: 7
  • Duke's: 21
  • Hank's: 11

Step-by-step explanation:

Let J, D, and H represent the drove sizes of Jim, Duke, and Hank.

  2(H -6 + 1) = (J +6 -1) . . . . . Hank's offer

  3(D -14 +1) = (H +14 -1) . . . . Duke's offer

  6(J -4 +1) = (D +4 -1) . . . . . . Jim's offer

These equations can be simplified to ...

  2H - J = 15

  3D - H = 52

  6J - D = 21

__

<u>Solution</u>

Adding twice the second equation to the first gives ...

  2(3D -H) +(2H -J) = 2(52) +(15)

  6D -J = 119

Adding 6 times the third equation to this one gives ...

  6(6J -D) +(6D -J) = 6(21) +(119)

  35J = 245

  J = 7

Using this value in the third equation gives ...

  6(7) -D = 21

  42 -21 = D = 21

Using the value of J in the first equation gives ...

  2H -7 = 15

  H = (15 +7)/2 = 11

Then the solution is (J, D, H) = (7, 21, 11).

Jim's drove had 7 animals; Duke's drove had 21 animals; Hank's drove had 11 animals.

5 0
3 years ago
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