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morpeh [17]
3 years ago
15

you can transform 4x + 12 = 9x - 3 again into a simpler form by subtracting 4x form both sides to get 12 = 5x - 3, if you subsit

ute 3 for x in 12 = 5x - 3, do you still get a true statement
Mathematics
1 answer:
nikdorinn [45]3 years ago
7 0

Answer: Yes you will still get a true statement because 3 is the solution to the equation.

Step-by-step explanation:

Well substitute 3 for x into the equation and solve for to see if they equal each other.

12 = 5(3) - 3    

12 = 15 - 3

12 = 12  

So if you substitute 3 you get the solution .

Now solve for x in the real equation to see if you get 3.

4x + 12 = 9x -3  

-4x           -4x

 12 = 5x -3  

+3           +3

15 = 5x  

x = 3  

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What is the product?<br><br> (6 r minus 1)(negative 8 r minus 3)
just olya [345]

Answer:

The required product is -48r^2-10r+3

Step-by-step explanation:

Consider the provided expression.

(6r-1)(-8r-3)

Open the parentheses.

6r\left(-8r\right)+6r\left(-3\right)+\left(-1\right)\left(-8r\right)+\left(-1\right)\left(-3\right)

-6\cdot \:8rr-6\cdot \:3r+1\cdot \:8r+1\cdot \:3

-48r^2-18r+8r+3

Add the like terms.

-48r^2-10r+3

Hence, the required product is -48r^2-10r+3

3 0
4 years ago
Read 2 more answers
Five lemons cost $1.80. What<br> is the cost per lemon?
kap26 [50]

Answer:

0.36 cents

Step-by-step explanation:

1.80/5=0.36 <----answer

To check you can do 0.36x5 and get 1.80

6 0
3 years ago
An HR director numbered employees 1 through 50 for an extra vacation day contest. What is the probability that the HR director w
forsale [732]

Answer:

The probability that the HR director will select an employee who is not a multiple of 13 is \frac{47}{50}

Step-by-step explanation:

* <em>Lets explain how to solve the problem</em>

- The probability of an event is the measure of the chance that the

  event will occur

- The probability of an event A is the number of ways that event A can

 occur divided by the total number of possible outcomes

- If P(A) is the probability of event A,  is the probability that the event A

 does not occur is 1 - P(A)

* <em>Lets solve the problem</em>

- An HR director numbered employees 1 through 50 for an extra

 vacation day contest

∴ There are 50 employees

- The HR director will select an employee

- We need to find the probability of select an employees who is not

 multiple of 13

* At first lets find the multiples of 13

∵ 13 × 1 = 13

∵ 13 × 2 = 26

∵ 13 × 3 = 39

∴ The multiples of 13 from 1 to 50 are 13 , 26 , 39

∵ There are 3 multiples of 13

∵ There are 50 numbers

∵ Probability of multiple of 13 = \frac{3}{50}

∵ Probability of not multiple of 13 = 1 - P(multiple of 13)

∴ Probability of not multiple of 13 = 1-\frac{3}{50}

∴ Probability of not multiple of 13 = \frac{47}{50}

* The probability that the HR director will select an employee who is

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4 0
3 years ago
The difference of the range and the interquartile range of the data set represented by the box plot is
Varvara68 [4.7K]

Answer:

R - IQR = 10

Step-by-step explanation:

The interquartile range is IQR is:

IQR = Q_3 -Q_1

Where:

Q_3 = third quartile

Q_1 = first quartile

So the interquartile range is the difference between the highest quartile and the lowest quartile. In other words, it is the width of the box in the diagram.

So:

IQR = 29 -21\\IQR = 8

The R range is the difference between the highest value and the lowest. In other words:R = 34 -16\\R = 18

Finally:

R - IQR = 18 - 8 = 10

5 0
3 years ago
Read 2 more answers
How long does it take an account with a principal of $500 to earn $75 in interest at a simple annual interest rate of 3%?
algol13

Answer:

about 5 years

Step-by-step explanation:

year 1)500*0.03= 15

year 2)515*0.03= 15.45+515=530.45

year 3)530.45*0.03= 15.91+530.45=546.36

year 4)546.36*0.03=16.39+546.36=562.75

year 5)562.75*0.03=16.88+562.75=579.63

7 0
3 years ago
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