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Viktor [21]
2 years ago
8

What is the solution to this equation? 9x - 4(x - 2) = x + 20

Mathematics
1 answer:
ioda2 years ago
7 0

9x - 4(x - 2) =x + 20

We move all terms to the left:

  • 9x -4(x - 2) - (x + 20) = 0

Multiply

  • 9x - 4x -(x + 20) + 8 = 0

We get rid of the parentheses.

  • 9x - 4x - x - 20 + 8 = 0

We add all the numbers and all the variables.

  • 4x - 12 = 0

We move all terms containing x to the left hand side, all other terms to the right hand side

  • 4x=12
  • x = 12/4
  • x = 3
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Solve - 2/5x is less than or equal to 20
sashaice [31]

Answer:

x is less than or equal to 0

Step-by-step explanation:

- you need to multiply both sides of the inequality by 5/2

- then you reduce the numbers with the greatest common factor 5

- then you reduce the numbers with the greatest common factor 2

- any expression multiplied by 0 equals 0

- so you get x is less than or equal to 0

^^^ hope this helps! :)

8 0
3 years ago
1. Carlos wants to deposit $900 into savings accounts at three different
AleksandrR [38]

Answer:

$150

Step-by-step explanation:

0.2 X 750 = 150

hope this helps

8 0
2 years ago
Iron Man Training While training for an iron man competition, Tony bikes for 60 miles and runs for 15 miles. If his bikes speed
ivolga24 [154]

Answer:

<u>Tony biked 1 hour 40 minutes and run 3 hours 20 minutes.</u>

Step-by-step explanation:

How long did Tony speed on his bike?

Let s to be Tony's running speed, then 8s is Tony's biking speed

Let's recall that Time = Distance/Speed

Bike time + Running time = 5 hrs

Replacing with the real values, we have:

60/8s + 15/s = 5

8s as Lowest Common Denominator

60 + 8 * 15 = 5 * 8s

60 + 120 = 40s

-40s = -180

s = -180-40

s = 4.5 ⇒ 8s = 36

Tony run at 4.5 mph and biked at 36 mph

Now, we can calculate the time, this way:

Bike time = Bike distance/Bike speed

Replacing with the real values, we have:

Bike time = 60/36

Bike time = 5/3 (Dividing by 12)

5/3 hours * 60 = 100 minutes or 1 hour 40 minutes

Running time = 5 hours - 1 hour 40 minutes = 3 hours 20 minutes

<u>Tony biked 1 hour 40 minutes and run 3 hours 20 minutes.</u>

4 0
2 years ago
In the given figure find the value of the unknown interior angle x in the following figure.​
Leto [7]

Answer:

Therefore, the measure of angles x is 55°.

Step-by-step explanation:

From the given figure ,

105° is the exterior angle

x° and 50° are the two interior opposite angles to 105°

We know that

An exterior angle formed by extending the side of a triangle is equal to the sum of the two interior opposite angles

⇛ x° + 50° = 105°

⇛ x° = 105°-50°

⇛ x° = 55°

Therefore , x = 55°

<u>Exterior</u><u> </u><u>Angle:</u><u>↓</u>

An exterior angle formed by extending the side of a triangle is equal to the sum of the two interior opposite angles.

Hope this helps!!

5 0
2 years ago
A music school charges a registration fee in addition to a fee per lesson. Write an equation if each lesson costs $40 and a regi
Jobisdone [24]
T = total cost for music school
L = # of lessons

T = $1,190 + ($40 × L)
T = $1,190 + ($40 × 12)
T. = $1,190 + $480
T = $ 1,670 for 12 lessons
3 0
2 years ago
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