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
n200080 [17]
3 years ago
12

Part A: Solve the equation 5(x + 2) = 6x + 3x − 14, and show your work. (5 points)

Mathematics
1 answer:
Cerrena [4.2K]3 years ago
8 0

Answer:

x = 6

Step-by-step explanation:

Step 1 - Expand brackets via distributive property:

5(x + 2) = 6x + 3x - 14\\5(x) + 5(2) = 6x + 3x - 14\\5x + 10 = 6x + 3x - 14

Step 2 - Combine like terms:

5x + 10 = 6x + 3x - 14\\5x + 10 = 9x - 14

Step 3 - Use the addition property of equality to isolate the 9x:

5x + 10 = 9x - 14\\5x + 10 + 14 = 9x - 14 + 14\\5x + 24 = 9x

Step 4 - Use the subtraction property of equality to move the 5x over and isolate the 24:

5x + 24 = 9x\\5x + 24 - 5x = 9x - 5x\\24 = 4x

Step 5 - Use the division property of equality to simplify:

4x = 24\\\\\frac{4x}{4} = \frac{24}{4}\\\\x = 6

Hope this helps!

You might be interested in
Which best describes the meaning of the statement if A then B
Oliga [24]

Answer:

a => b   \equiv   ( \neg a   \ \lor   \ b )

Step-by-step explanation:

You can understand the statement from many perspectives, but in terms of proposition logic it is best to understand it as   "negation of a" or "  b" in mathematical terms is written like this

a => b   \equiv   ( \neg a   \ \lor   \ b )

You can show that they are logically equivalent because they have the same truth table.

 

3 0
3 years ago
Write an expression that represents the quantity 5 more than a number
Natali5045456 [20]
6+7 is that good i hope so
3 0
3 years ago
Solve the quadratic equation by completing the square.x^2-14x+46=0First choose the appropriate form and fill in the blanks with
Kaylis [27]

x² - 14x + 46 = 0

subtract 46 from both-side

x² - 14x = -46

Add the square of the half of the co-efficient of x

x² - 14x + (-7)² = -46 + 7²

(x-7)² = -46 + 49

(x-7)² =3

Take the square root of both-side

x-7 = ±√3

x-7= ±1.732

Add 7 to both-side of the equation.

x= 7 ± 1.732

Eithe x= 7 + 1.732 or x= 7 - 1.732

x=8.732 or x=5.268

Therefore x = 8.732 , 5.268

7 0
1 year ago
Which techniques can be used to evaluate the expression 12.75 = 1.5? Select all that apply.
n200080 [17]
What is the apply??? Put all of the select all that apply so I can help you
8 0
3 years ago
Add mix numbers Madison made a fruit salad . She used 3 1 fourth cups of straw berries and 2 1 fourths cups of blueberries. How
Zinaida [17]

Answer:

1 1/4

Step-by-step explanation:

For the strawberries, we will have to multiply 3 by 1/4 to get the total amount of strawberries used.

1/4 * 3 = 3/4

For the blueberries, we will have to multiply 2 by 1/4 to get the total amount of blueberries used.

1/4 * 2 = 2/4

Simplify that to get 1/2

Now we need to add 3/4 and 1/2

3/4 + 1/2 = 5/4

Simplify that and we get our answer;

1 1/4

7 0
3 years ago
Other questions:
  • There are 40 coins in a roll of nickles. Find the value of 25 rolls of nickels.
    10·2 answers
  • The city of Raleigh has 10500 registered voters. There are two candidates for city council in an upcoming election: Brown and Fe
    5·1 answer
  • 9. Write the equation in standard form: 25x2 –16y2 = 400
    15·1 answer
  • If PR = 4x – 2 and RS = 3x – 5, which expression represents PS?
    12·2 answers
  • What type of number is -2343
    14·1 answer
  • Please help me with this (5th grade math)
    11·1 answer
  • A scientist crosses two pea plants that are
    11·1 answer
  • "Draw a line representing the "rise" and a line representing the "run" of the line. State the slope of the line in simplest form
    15·1 answer
  • For the 4th & 5th grade end-of-year field trip, the PTA raised $7,985 to take students to Dominion. There will be 112student
    7·1 answer
  • 15 POINT ON THE LINE<br><br> How many numbers are in the list -33, -28, -23, . . ., 52, 57?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!