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worty [1.4K]
3 years ago
11

What is Expressions and Equations? Explain it specifically please. ​

Mathematics
1 answer:
aev [14]3 years ago
7 0

Answer:

Expressions: a symbol or a combination of symbols representing a value, relation, or the like.

Equations: a expression or a problem that helps you add, subtract, multiply, or divide

Step-by-step explanation:

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7. Solve the equation.<br> 6(x - 2) = 36<br> 0-8<br> 04<br> 04<br> 08<br> What one
rusak2 [61]

Answer:

8

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

Step-by-step explanation:

<u>Step 1: Define</u>

6(x - 2) = 36

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Divide 6 on both sides:                     x - 2 = 6
  2. Add 2 on both sides:                         x = 8
6 0
3 years ago
Solve for x: -1/2(-4+2x) = -6 - 4x
antiseptic1488 [7]
-\dfrac{1}{2}(-4+2x)=-6-4x\ \ \ \ \ |multiply\ both\ sides\ by\ (-2)\\\\-4+2x=12+8x\ \ \ \ |add\ 4\ to\ both\ sides\\\\2x=16+8x\ \ \ \ \ |subtract\ 8x\ from\ both\ sides\\\\-6x=16\ \ \ \ \ |divide\ both\ sides\ by\ (-6)\\\\x=-\dfrac{16}{6}\\\\x=-\dfrac{8}{3}\\\\\boxed{x=-2\frac{2}{3}}
5 0
3 years ago
What is an equation of the line that passes through the point (3,6)(3,6) and is parallel to the line 4x-3y=214x−3y=21?
polet [3.4K]

<em><u>Question:</u></em>

What is an equation of the line that passes through the point (3,6) and is parallel to the line 4x-3y=21

<em><u>Answer:</u></em>

<em><u>The equation of the line that passes through the point (3,6) and is parallel to the line 4x-3y=21 is:</u></em>

y = \frac{4}{3}x + 2

<em><u>Solution:</u></em>

Given that line passes through the point (3,6) and is parallel to the line 4x-3y=21

<em><u>The equation of line in slope intercept form is given as:</u></em>

y = mx + c ------- eqn 1

Where, "m" is the slope and "c" is the y intercept

<em><u>Given equation is:</u></em>

4x - 3y = 21

Rearrange,

3y = 4x - 21

y = \frac{4}{3}x - \frac{21}{3}\\\\y = \frac{4}{3}x - 7

On comparing above equation with eqn 1,

m = \frac{4}{3}

We know that slopes of parallel lines are same

Therefore, slope of line parallel to the line 4x - 3y = 21 is 4/3

<em><u>Substitute m = 4/3 and (x, y) = (3, 6) in eqn 1</u></em>

6 = \frac{4}{3} \times 3 + c\\\\6 = 4 + c\\\\c = 2

<em><u>Substitute c = 2 and m = 4/3 in eqn 1</u></em>

y = \frac{4}{3}x + 2

Thus the equation of line is found

4 0
4 years ago
What interest will be earned if $6300 is invested for 3 years at 12% compounded monthly?  Write your answer rounded to the neare
Butoxors [25]
Answer:
Interest earned = 2713.8

Explanation:
We will solve this problem on two steps:
1- get the final amount after three years
2- get the interest earned by subtracting the initial amount from the final one.

1- getting the final amount after 3 years:
The formula that we will use is as follows:
A = P (1 + r/n)^(nt)
where:
A is the final amount we want to calculate
P is the initial amount = 6300
r is the interest = 0.12
n is the number of compounds per year =12
t is time in years = 3

Substitute to get the final amount:
A = P (1 + r/n)^(nt)
A = 6300 (1 + 0.12/12) ^ (12*3)
A = 9013.8

2- getting the interest earned:
Interest earned = final amount - initial amount
Interest earned = 9013.8 - 6300
Interest earned = 2713.8

Hope this helps :)
7 0
3 years ago
Read 2 more answers
6 people consists of 3 married couples. Each couple wants to sit with older partner on the left.
Lera25 [3.4K]

a. The first part asks for how many ways they can be seated together in a row. Therefore we want the permutations of the set of 6 people, or 6 factorial,

6! = 6 * 5

= 30 * 4

= 360 * 2 = 720 possible ways to order 6 people in a row

b. There are two cases to consider here. If the doctor were to sit in the left - most seat, or the right - most seat. In either case there would be 5 people remaining, and hence 5! possible ways to arrange themselves.

5! = 5 * 4

= 20 * 3

= 120 * 1 = 120 possible ways to arrange themselves if the doctor were to sit in either the left - most or right - most seat.

In either case there are 120 ways, so 120 + 120 = Total of 240 arrangements among the 6 people if the doctor sits in the aisle seat ( leftmost or rightmost seat )

c. With each husband on the left, there are 3 people left, all women, that we have to consider here.

3!  = 3 * 2 6 ways to arrange 3 couples in a row, the husband always to the left

8 0
3 years ago
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