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
Molodets [167]
3 years ago
10

Please help with both questions, thank you!

Mathematics
1 answer:
algol [13]3 years ago
5 0

11) 3 (2x + 7) - 4 = 53 - 3x is the given

Then, we use distributive property and get:

6x + 21 - 4 = 53 - 3x

Next, we combine like terms

6x + 17 = 53 - 3x

Then, we use the addition property of equality to add 3x to both sides.

9x + 17 = 53

We then use the subtraction property of equality to subtract 17 from both sides.

9x = 36

Finally, we use the division property of equality to divide 36 by 9, which isolates x.

x = 4

So, (In order) you have the: Given, Distributive Property, Combine Like Terms, Addition Property of Equality, Subtraction Property of Equality, and Division Property of Equality.

12) Please Note: This is an inequality problem. Which means we do not use the properties of equality. We'd use the properties of order. Properties of order are specific to inequalities, as the properties of equality are specific to the equations. They do not cross. As for your paper, I'm not sure why it says to use the properties of equality. I will be using the properties of order.

-7 (3 + 8x) + 5x ≤ 1 - 62x is the given

-21 - 56x + 5x ≤ 1 - 62x is distributive property

We then combine like terms

-21 - 51x ≤ 1 - 62x

Next, we use subtraction property of order to subtract 1 from each side.

-22 - 51x ≤ -62x

Then, we add 51x to each siding using the addition property of order

-22 ≤ -11

Lastly, we use the division property of order to divide 11 from both sides, which then gives us:

2 ≥ x

It becomes a positive because we're dividing 2 negatives, and we also turn the sign because we're dividing by negatives.

In order: Given, Distributive Property, Combine Like Terms, Subtraction Property of Order, Addition Property of Order, and Division Property of Order.

 

You might be interested in
Solve the equation -3k+6=15
Assoli18 [71]

Answer:

K= -3

Step-by-step explanation:

-3k+6=15

     -6   -6

-3k=9

/-3  /-3

k=-3

subtract 6 from both sides.

divide each side by -3 to get K alone

-3 is your answer.

8 0
2 years ago
I will give brainiest to whoever answers correctly !!
Vadim26 [7]
Answer:
(a) the interest is $6384

Hope this helps!
8 0
3 years ago
MATH MATH MATH MATH HeLp
Mila [183]

Answer:

B is the correct option dear .

Step-by-step explanation:

Good luck ^_^

6 0
2 years ago
Read 2 more answers
the figure at the right shows the dimensions of the garden in Marissa's back yard. What is the area of the garden?
vodka [1.7K]

The area of the garden is 74 square feet

<h3>How to determine the area of the garden?</h3>

The complete question is added as an attachment

From the attached figure, we have the following shapes and dimensions:

  • Rectangle: 10 by 5 feet
  • Trapezoid: Bases = 10 and 6; Height = 3

The rectangular area is

A1 = 10 * 5

Evaluate

A1 = 50

The area of the trapezoid is

A2 = 0.5 * Sum of parallel bases * height

This gives

A2 = 0.5 * (10 + 6) * 3

Evaluate

A2 = 24

The total area is

Total = A1 + A2

This gives

Total = 50 + 24

Evaluate

Total = 74

Hence, the area of the garden is 74 square feet

Read more about areas at:

brainly.com/question/24487155

#SPJ1

5 0
1 year ago
Help! I’ll give you the best rating
fenix001 [56]
Sandi did not follow PEMDAS. She added before multiplying and dividing. Her answer should be 18 because 6 • 4 = 24, 2 / 2 = 1, 24 + 1 = 25, 25 - 7 = 18
3 0
3 years ago
Other questions:
  • How do I figure out what to do in this circle graph/pie chart
    14·1 answer
  • Please Help ! File is attached
    7·1 answer
  • I am not sure about any of my answers and I don’t know how to find the range for question b or the slope for question c.
    13·1 answer
  • Help please!!
    12·2 answers
  • 6. Jill made a quilt for her new sister. The quilt is square with an area of 36 square feet. What
    14·1 answer
  • Write the equation of the line on the graph below.
    11·2 answers
  • Convert these decimals and SIMPLIFY:<br> .12<br> .250<br> .3<br> .85<br> .300<br> .05
    7·2 answers
  • Find the greatest common factor of 90, and 135
    14·1 answer
  • Which gestalt principle suggests that the human mind groups similar elements within an artwork where they build onto a larger co
    7·1 answer
  • A student has gotten the following grades on his tests. What is the minimum grade he must get on the last test in order to have
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!