2 years ago

Orin solved an equation and justified his steps as shown in the table.

Mathematics

1 answer:

sergij07 [2.7K]2 years ago

6 0

Answer:

Step-by-step explanation:

Given the equation as

$\frac{3x}{5} -3=12$

apply multiplication property of equality where you multiply every term by 5

$\frac{3x}{5}*5 -3*5=12*5$

3x-15=60------------------apply addition property of equality

3x-15+15=60+15

3x=75--------------------------appy division property of equality by dividing both sides by 3

3x/3=75/3

x=25

You might be interested in

On a test, leo is asked to completely factor the polynomial 3x3 – 3x 5x2 – 5. he uses double grouping to get (x2 – 1)(3x 5). has

Agata [3.3K]

No, Leo's answer is not a product of prime polynomials because x2 – 1 can be factored. This is a difference of squares. He should continue factoring to get

(x – 1)(x + 1)(3x + 5).

8 0

2 years ago

Read 2 more answers

A study of long-distance phone calls made from General Electric Corporate Headquarters in Fairfield, Connecticut, revealed the l

iren [92.7K]

Answer:

0.2611

Step-by-step explanation:

Given the following information :

Normal distribution:

Mean (m) length of time per call = 3.5 minutes

Standard deviation (sd) = 0.7 minutes

Probability that length of calls last between 3.5 and 4.0 minutes :

P(3.5 < x < 4):

Find z- score of 3.5:

z = (x - m) / sd

x = 3.5

z = (3.5 - 3.5) / 0.7 = 0

x = 4

z = (4.0 - 3.5) / 0.7 = 0.5 / 0.7 = 0.71

P(3.5 < x < 4) = P( 0 < z < 0.714)

From the z - distribution table :

0 = 0.500

0.71 = very close to 0.7611

(0.7611 - 0.5000) = 0.2611

P(3.5 < x < 4) = P( 0 < z < 0.714) = 0.2611

3 0

2 years ago

The owner of a football team claims that the average attendance at games is over 74,900, and he is therefore justified in moving

Slav-nsk [51]

Answer:

Option c (Upper tailed) is the correct choice.

Step-by-step explanation:

Given that:

The average attendance is:

= 74,900

We will have to test:

⇒ $H_0:\mu \leq \mu_0$

or,

$H_0: \mu \leq 74,900$

Verses,

⇒ $H_1: \mu> \mu_0$

or,

$H_1: \mu >74,900$

The other given alternatives aren't connected to the given scenario. So the above is the correct one.

4 0

2 years ago

Find f(6) if f(x)=x squared divided 3+x

Nostrana [21]

F(6)=4. plug in 6 to x

8 0

2 years ago

Prof. okamoto selects 3 different students to report on 3 different current events. if there are 27 students in the class, in ho

kenny6666 [7]

Consider this option:
C³₂₇=27!/(3!*24!)=25*13*9=2925 ways to select 3 students.

8 0

2 years ago