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Sladkaya [172]
3 years ago
5

What is the value of x in the equation 1.5(x + 4) – 3 = 4.5(x – 2)?

Mathematics
2 answers:
anygoal [31]3 years ago
6 0
I will explain step by step how to solve for x

Remove the parenthesis using distributive property
1.5(x + 4) - 3 = 4.5(x - 2)
1.5(x) + 1.5(4) = 4.5(x) - 4.5(2)
1.5x + 6 = 4.5x - 9

Combining like-terms. Move the terms whose variable x to the left side, and move constants to the right side. Plus sign will become substract sign after being moved.
1.5x + 6 = 4.5x - 9
1.5x - 4.5x = -9 - 6
-3x = -12

Move -3 to the right side to solve for x. Multiplication becomes division after being moved to the other side
-3x = -12
x = -12/-3
x = 4

The value of x is 4
katen-ka-za [31]3 years ago
3 0

Answer:x= 4

Step-by-step explanation:

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Hii Please Answer ASAP and only if you know the answer! :P I will give brainliest to right answer!! :)
olga nikolaevna [1]

Answer:

Step-by-step explanation:

Here so u can give that person brainliest

5 0
3 years ago
Evaluate 3/5 - 3/10 and explanation thanks
Setler [38]
It would be 3/10 because you have to create a common denominator. That would be 10. 3x2=6 and 5x2=10, so 3/5 would become 6/10, which is equivalent. If you kept the denominators the same and subtracted the numerators, you would get 3/10.
4 0
3 years ago
he production of pipes has a mean diameter of 3.25 inches and a standard deviation of .15 inches. The shape of the distribution
o-na [289]

Answer:

The probability that a randomly chosen part has diameter of 3.5 inches or more is 0.9525

Step-by-step explanation:

Mean = \mu = 3.25 inches

Standard deviation = \sigma = 0.15 inches

We are supposed to determine the probability that a randomly chosen part has diameter of 3.5 inches or more

P(Z \geq 3.5)=1-P(z

Refer the z table for p value

P(Z \geq 3.5)=1-0.0475\\P(Z \geq 3.5)=0.9525

Hence  the probability that a randomly chosen part has diameter of 3.5 inches or more is 0.9525

7 0
3 years ago
-3x + 4y = 12<br> 3x – 6y = 18<br> Answer has to be (x,y)
navik [9.2K]

Answer:

(24, -15)

Step-by-step explanation:

-3x + 4y = 12

3x – 6y = 18

Add the two equations together to first solve for y

-2y=30

y=-15

Enter -15 into one of the equations to solve for x

-3x + 4(-15) = 12

-3x-60=12

-3x=72

x=24

Hope this helps! Please mark brainliest :)

4 0
4 years ago
Sing acts are 5 min long and comedy acts are 3 min long. The show has 12 acts and last 50 min. How many singing acts and how man
ryzh [129]

Answer

so there are 7 singing acts and 5 comedy acts.

Step-by-step explanation:

Let x= number of singing acts.

Let y= number of comedy acts.

We will take x+y=12 as our first equation, as there are 12 shows in total. We will take 5x+3y=50 as our second equation as there are 50 total minutes, and singing acts are 5 mins and comedy acts are 3 mins.

We solve x+y=12

Y=-x+12

We know y=-x+12, so we will substitute that for the y in the second equation.

1. Substitute 5x+3(-x+12)=50

2. Distribute 5x-3x+36=50

3. Solve 2x+36=50

2x=14

X=7

Now that we have found x, we will find y by substitute the x in 5x+3y=50 with the value, 7, that we found for x.

5(7)+3y=50

35+3y=50

3y=15

Y=5

6 0
3 years ago
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