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
Ivenika [448]
3 years ago
9

Need help!!!! Please answer these equations and show your work. Thank you!!!

Mathematics
1 answer:
Rama09 [41]3 years ago
6 0
Problem 1.
Solve for x:
4 x + 3 = 19
Subtract 3 from both sides:
4 x + (3 - 3) = 19 - 3
3 - 3 = 0:
4 x = 19 - 3
19 - 3 = 16:
4 x = 16
Divide both sides of 4 x = 16 by 4:
(4 x)/4 = 16/4
4/4 = 1:
x = 16/4
The gcd of 16 and 4 is 4, so 16/4 = (4×4)/(4×1) = 4/4×4 = 4:
Answer:  x = 4

Problem 2. 

Solve for x:
(4 x)/3 + 5 = 17
Put each term in (4 x)/3 + 5 over the common denominator 3: (4 x)/3 + 5 = (4 x)/3 + 15/3:
(4 x)/3 + 15/3 = 17
(4 x)/3 + 15/3 = (4 x + 15)/3:
(4 x + 15)/3 = 17
Multiply both sides of (4 x + 15)/3 = 17 by 3:
(3 (4 x + 15))/3 = 3×17
(3 (4 x + 15))/3 = 3/3×(4 x + 15) = 4 x + 15:
4 x + 15 = 3×17
3×17 = 51:
4 x + 15 = 51
Subtract 15 from both sides:
4 x + (15 - 15) = 51 - 15
15 - 15 = 0:
4 x = 51 - 15
51 - 15 = 36:
4 x = 36
Divide both sides of 4 x = 36 by 4:
(4 x)/4 = 36/4
4/4 = 1:
x = 36/4
The gcd of 36 and 4 is 4, so 36/4 = (4×9)/(4×1) = 4/4×9 = 9:
Answer:  x = 9

Problem 3

Solve for x:
4 (6 - 2) x - 10 = 20
6 - 2 = 4:
4×4 x - 10 = 20
4×4 = 16:
16 x - 10 = 20
Add 10 to both sides:
16 x + (10 - 10) = 10 + 20
10 - 10 = 0:
16 x = 20 + 10
20 + 10 = 30:
16 x = 30
Divide both sides of 16 x = 30 by 16:
(16 x)/16 = 30/16
16/16 = 1:
x = 30/16
The gcd of 30 and 16 is 2, so 30/16 = (2×15)/(2×8) = 2/2×15/8 = 15/8:
Answer: x = 15/8

Problem 4

Solve for x:
4.3 x + 0.7 = 5
Subtract 0.7 from both sides:
4.3 x + (0.7 - 0.7) = 5 - 0.7
0.7 - 0.7 = 0:
4.3 x = 5 - 0.7
5 - 0.7 = 4.3:
4.3 x = 4.3
Divide both sides of 4.3 x = 4.3 by 4.3:
(4.3 x)/4.3 = 4.3/4.3
4.3/4.3 = 1:
x = 4.3/4.3
4.3/4.3 = 1:
Answer:  x = 1
As for the Real world question, I have no idea. Given are, $25 to turn on the electricity and $4/hr to run it.  What is she selling and for how much? I don't think there is a solution as not enough information is given.




You might be interested in
Can anyone answer this question please<br> 6[y-2]/7-12=2[y-7]/3
Kaylis [27]

Answer:

y =47.5.

Step-by-step explanation:

First eliminate the fractions by multiplying through by the LCM of 7 and 3 which is 21:

21* 6[y-2]/7-21*12 = 21*2[y-7]/3

18(y - 2) - 252 = 14(y - 7)

18y -36 - 252 = 14y - 98

18y - 14y = -98 + 36 + 252

4y = 190

y = 190/4

y = 47.5.

8 0
2 years ago
A right rectangular prism has a length of 9, a width of 4, and a height of 5. How many unit cubes can fit in the prism?
Serjik [45]

Answer:

The answer is 54 cubes.

Step-by-step explanation:

5 0
3 years ago
If BAC = 320°, what is the measure of BC?
melisa1 [442]

Answer:

BC = 40º

BMC = 40º

Step-by-step explanation: Since the measure the major and minor arcs add up to 360º, just subtract 320 from 360 to find BC which is 40º. <BMC is also 40º because the measure of the arc is equal to its corresponding angle.

3 0
3 years ago
PLEASE PLEASE HELP ME!!! Carla rode her bicycle 4 miles to the park and it took her 30 minutes.
White raven [17]

Answer:

30 mins = 0.5 hours

4.5 miles/0.5 hours = your answer

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
ERROR ANALYSIS In Exercises 39 and 40, describe and
expeople1 [14]

Answer:

39. r = 13.4

40. m = 12

Step-by-step explanation:

39. Given the equation, -0.8 + r = 12.6, to solve for r, the following are the correct steps to take to arrive at the solution:

-0.8 + r = 12.6 (given)

Add 0.8 to both sides of the equation (addition property of equality)

-0.8 + r + 0.8 = 12.6 + 0.8 (this is where the error occurred.)

r = 13.4

40. The correct steps to take in solving the equation, -\frac{m}{3} = -4 is as follows:

-\frac{m}{3} = -4 (given)

Multiply both sides by 3 (multiplication property of equality)

3*-\frac{m}{3} = 3*(-4)

-m = -12 (this is where the error occurred. This is what we should have at this line/step)

m = 12 (dividing both sides by -1)

6 0
3 years ago
Other questions:
  • a. Determine whether the Mean Value Theorem applies to the function f (x )equals ln 15 xf(x)=ln15x on the given interval [1 comm
    15·1 answer
  • I've spent hours trying to figure these three out, I'm probably over thinking them. Will someone please answer the following two
    11·1 answer
  • An arc that lies between the two sides of a cental angle is called a_____.
    12·1 answer
  • Trigonometry help questions in attachment
    5·1 answer
  • The diagram above shows a rectangle inscribed in a circle AB=10 and AC =12 caculate the total surface area of the shaded part
    14·1 answer
  • 10+22+34+...+422=S Help
    8·1 answer
  • what are the factors of 47 (cuz im STUPID and i dont feel like doing this cuz im working on geogrophy)
    12·2 answers
  • Ben wants to buy a new car stereo and he has already saved some money. He used this inequality to represent the amount he still
    12·1 answer
  • Dan is serving his child french fries and chicken wings for lunch today. Let f be the number of french fries in the lunch, and l
    11·1 answer
  • Solve for X: square root 2x power of 2 +5 = 2
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!