1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
erma4kov [3.2K]
3 years ago
9

Hi, I've recently started doing proofs in math, and I've gotten through most of it, but I am still absolutely clueless when it c

omes to these questions; could someone please help and explain to me how this works??
Question 1: What is the reason for #4?

Given: 4x + 1 = 6x - 2, Prove: x = 3/2

(1) 4x + 1 = 6x - 2

(2) 4x + 3 = 6x

(3) 3 = 2x

(4) 3/2 = x ?

(5) x = 3/2

Question 2:

What is the reason for #3?

Given: 3x - 4 = 2(x + 8), Prove: x = 20

(1) 3x - 4 = 2(x + 8)

(2) 3x - 4 = 2x + 16

(3) 3x = 2x + 20 ?

(4) x = 20

PLEASE HELP I AM DESPERATE TO UNDERSTAND!!
Mathematics
1 answer:
Licemer1 [7]3 years ago
3 0
<span>4x + 1 = 6x - 2, Prove: x = 3/2  
-4x     =-4x
1         =2x-2
-1       =-1
0       =2x-3
0       =2x+(-3)
2/3=2/3 

</span><span>3x - 4 = 2(x + 8), Prove: x = 20 
3x- 4  =2x+16
+4      =+4
3x      =2x+20
-2x     =-2x
1x       =20
</span><span>

</span>
You might be interested in
Dan is thinking of a number . The quotient of this number and 1.8 is 31.5. Find dans number
kkurt [141]
31.5 times 1.8.
=31.5×.8+31.5×1
=25.2+31.5
=56.7
7 0
3 years ago
. A random sample of 100 children with working mothers showed that they were absent from school an average of 6 days per term wi
erica [24]

Answer:

a) The equation is:

Confidence Interval = Mean ± Z score × Standard deviation/√Number of samples

b) The 98% confidence interval = (5.62784, 6.37216)

Step-by-step explanation:

a. Write down the equation you should use to construct the confidence interval for the average number of days absent per term for all the children. (10 points)

Confidence Interval = Mean ± Z score × Standard deviation/√Number of samples

b. Determine a 98% confidence interval estimate for the average number of days absent per term for all the children. (10 points)

Confidence Interval = Mean ± Z score × Standard deviation/√Number of samples

Mean = 6 days

Standard deviation = 1.6 days

Number of samples = 100

Z score of 98% confidence interval = 2.326

Confidence interval = 6 ± 2.326 × 1.6/√100

= 6 ± 2.326 × 1.6/10

= 6 ± 0.37216

= 6 - 0.37216

= 5.62784

6 + 0.37216

= 6.37216

Therefore, the 98% confidence interval = (5.62784, 6.37216)

6 0
3 years ago
A house purchased 5 years ago for 100,000 was sold for 161,051. Assuming exponential growth , approximate the annual growth rate
Pepsi [2]

Answer:

?

Step-by-step explanation:

3 0
4 years ago
Read 2 more answers
What is the height of a regular hexagonal based pyramid where its volume is equal to the side of the hexagon cubed?
azamat

Answer:

what i have lerned in this module

7 0
3 years ago
A farmer ships pears in crates that weigh 4.5 lb each when empty. Each pear weighs 0.25 lb. The total weight of a crate filled w
Ipatiy [6.2K]

Answer:

  one-quarter times the number of pears, plus four and one-half is forty-four and one-half

Step-by-step explanation:

The total weight (44.5 lb) will be the sum of the empty weight (4.5 lb) and the number of pears multiplied by the pear's weight. That can be expressed as ...

  one-quarter times the number of pears, plus four and one-half is forty-four and one-half

4 0
2 years ago
Other questions:
  • Please help AND explain!
    5·1 answer
  • I don't get it someone please help me
    7·2 answers
  • What is the quotient of 0/-6
    12·1 answer
  • Which equation satisfies all three pairs of a and b values listed in the table ?
    14·2 answers
  • Circle the value or the meaning of the underlined digit 337
    12·1 answer
  • Can someone plz help me with this one problem!!!
    15·2 answers
  • Question 3 (1 point)
    11·2 answers
  • Solve each inequality -43 &gt;-8 +7x
    9·2 answers
  • Solve.<br><br> -16 - 8<br> A. 24<br> B. 8<br> C. -8<br> D. -24
    6·2 answers
  • At the movie theatre, child admission is and adult admission is . On Wednesday, tickets were sold for a total sales of . How man
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!