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vampirchik [111]
3 years ago
6

The difference of two numbers is 8. the larger number is three more then twice the second number. Find the numbers

Mathematics
1 answer:
otez555 [7]3 years ago
3 0

Answer:

5 and 13

Step-by-step explanation:

1) If we call the larger number x and the smaller y we can write two equations.

y= x - 8 and x - 3=2y

2) we can substitute the x-8 in for the y in the second equation.

x-3=2(x-8)

3) by distributing and simplifying we find that x=13

4) To find y we need to plug x back into the first equation.

y=13-8

y=5

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Simplify completely''''​
34kurt

Answer:

\displaystyle \frac{2(x + 3)}{5x - 2}

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>Algebra I</u>

  • Terms/Coefficients
  • Factoring

Step-by-step explanation:

<u>Step 1: Define</u>

\displaystyle \frac{2x^2 + 16x + 30}{5x^2 + 13x - 6}

<u>Step 2: Simplify</u>

  1. [Fraction] Factor numerator:                                                                         \displaystyle \frac{2(x + 3)(x + 5)}{5x^2 + 13x - 6}
  2. [Fraction] Factor denominator:                                                                     \displaystyle \frac{2(x + 3)(x + 5)}{(x + 3)(5x - 2)}
  3. [Fraction] Divide:                                                                                           \displaystyle \frac{2(x + 3)}{5x - 2}
8 0
3 years ago
Find the slope.<br> (6,7) (2,-4)
emmainna [20.7K]
I'm pretty sure the slope is: - 4/11
7 0
3 years ago
Explain whether each equation is a linear equation.
Aleksandr-060686 [28]

Answer:

3. Not linear

4. Linear

Step-by-step explanation:

3. The equation has an exponent on the x. Since x is squared the graph is a parabola. The graph is a curve, not a line, so it is not linear.

4. Both the x and y have no exponent (which is an exponent of 1) The graph will be a line. This is a linear function.

8 0
2 years ago
Henry packed some apples in a box. The total mass of the box and the apples was 16 240 g. He packed some strawberries in a simil
icang [17]

Step-by-step explanation:

x = mass of apples

y = mass of strawberries

z = mass of the box

x = 3y

x + z = 16240

y + z = 6350

let's subtract the second from the first equation

x + z = 16240

- y + z = 6350

-----------------------

x - y + 0 = 9890

using the first identity in that result gives us

3y - y = 9890

2y = 9890

y = 4,945 g

x = 3y = 3×4945 = 14,835 g = the mass of the apples

3 0
2 years ago
So I need to do 3/1×1/5 would be 3/5
NeTakaya
Yes the top numbers timed together is 3 and the bottom together is 5.
5 0
3 years ago
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