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weqwewe [10]
3 years ago
5

(07.05) Graph the first six terms of a sequence where a = -10 and d = 3.

Mathematics
1 answer:
butalik [34]3 years ago
7 0

Answer:

15

Step-by-step explanation:

Using the formular, Sn = n/2(2a + (n - 1)d)

where, n = 6: Sn = 6/2( -20 + 5(3)) = 3(15 - 20)

∴  Sn = 15

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3 years ago
A number of fiction books at a library was 3/4 of the total number of books. After 592 fiction books were donated to the library
Zielflug [23.3K]

There approximately 7133 books in the library;

Data;

  • Let the number of total books = x
  • Number of fictional books = 3/4x

<h3>Word Problem</h3>

To solve this problem, we simply need to use an equation to explain the word problem into mathematical statements.

Let the total number of books be represented by x

The number of fictional books = 3/4x

After 592 fictional books were donated;

\frac{3x}{4} + 592 = \frac{5}{6}x

Let collect like terms and solve

\frac{3x}{4} +592 = \frac{5}{6} x\\\frac{5}{6}x - \frac{3x}{4} = 592\\ 0.083x=592\\x = 592/0.083\\x = 7132.53

There approximately 7133 books in the library;

Learn more on word problems here;

brainly.com/question/13818690

4 0
2 years ago
Solve systems of equations for y and x: <br><br> −5y + 8x = −18<br><br> 5y + 2x = 58​
Natali5045456 [20]

Answer:

(4, 10)

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<u> </u>

Equality Properties<u> </u>

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality<u> </u>

<u>Algebra I</u>

  • Coordinates (x, y)
  • Coefficients
  • Solving systems of equations using substitution/elimination

Step-by-step explanation:

<u>Step 1: Define Systems</u>

-5y + 8x = -18

5y + 2x = 58

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

<em>Elimination</em>

  1. Combine 2 equations:                                                                                      10x = 40
  2. [Division Property of Equality] Divide 10 on both sides:                                x = 4

<u>Step 3: Solve for </u><em><u>y</u></em>

  1. Substitute in <em>x</em> [Original equation]:                                                                  -5y + 8(4) = -18
  2. Multiply:                                                                                                             -5y + 32 = -18
  3. [Subtraction Property of Equality] Subtract 32 on both sides:                      -5y = -50
  4. [Division Property of Equality] Divide -5 on both sides:                                y = 10
7 0
3 years ago
Please help ill give brainliest I need this answer​
Sholpan [36]

Answer:50

Step-by-step explanation:8+7x =9x-4 2x =12 x =6 so 8+42=50

6 0
3 years ago
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The sum of two integers is 30 and their difference is 2
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