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SOVA2 [1]
4 years ago
6

Solve the system of equations.

Mathematics
1 answer:
Zina [86]4 years ago
5 0
Answer:
C. (5,3)
Explanation:
I worked it out. If you plug in 5 for all the x’s and 3 for the y’s, it will work out right.
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How many grams must be adde to 970g to make 1 and a half kg
madam [21]

Answer:

530 grams

Step-by-step explanation:

970 grams = 0.970 kg

1 kg = 1000 grams

Thus: 500+30 = 530 grams

3 0
3 years ago
Simplify -2xy+3x-2xy+3x<br><br> A. 4xy-6x<br><br> B. -4xy+6x<br><br> C. 4xy+6x<br><br> D. 2xy
k0ka [10]

-2xy+3x-2xy+3x

-2xy-2xy+3x+3x ( combine like terms)

-2xy-2xy=-4xy

3x+3x=6x

-4xy+6x

Answer: B. -4xy+6x

8 0
3 years ago
Solve the problem <br> ( Show your work )<br><br> 2x + 10 =- 4x – 9
Vsevolod [243]

Answer:

x = -19/6

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 Equation</u>

2x + 10 = -4x - 9

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

  1. Add 4x on both sides:                    6x + 10 = -9
  2. Subtract 10 on both sides:             6x = -19
  3. Divide 6 on both sides:                  x = -19/6

<u>Step 3: Check</u>

<em>Plug in x into the original equation to verify it's a solution.</em>

  1. Substitute in <em>x</em>:                    2(-19/6) + 10 = -4(-19/6) - 9
  2. Multiply:                               -19/3 + 10 = 38/3 - 9
  3. Add/Subtract:                      11/3 = 11/3

Here we see that 11/3 does indeed equal 11/3.

∴ x = -19/6 is the solution to the equation.

4 0
3 years ago
What is the length of a radius of a circle whose center is at (1, -2) and whose one point lies on a circle at (-5, 6)?
Arturiano [62]

Answer:

radius = 10

Step-by-step explanation:

The distance from the centre to the point on the circle is the radius r

Calculate r using the distance formula

r = \sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2    }

with (x₁, y₁ ) = (1, - 2) and (x₂, y₂ ) = (- 5, 6)

r = \sqrt{(-5-1)^2+(6-(-2))^2}

  = \sqrt{(-6)^2+(6+2)^2}

  = \sqrt{36+8^2}

   = \sqrt{36+64}

   = \sqrt{100}

   = 10

4 0
3 years ago
Diane Van Os decided to buy a new car since her credit union was offering such low interest rates. She borrowed 30,000 at 4.75%
mixer [17]

Answer:

Total Interest Diane has to pay is $1,745

Step-by-step explanation:

<u>Behind the Excel sheet</u>

Total Number of Days:

It was the sum 2016 + 2017 + 3 months of 2018

                             19 + 365   + 31 + 28 + 4

<u>Exact Intrest on Loan</u>

the Borrowed Amount is multiplied by Exact Intrest Rate multiplied by Total Number of Days divided by Number of Days in a Year

$30,000 x 0.0475 x (447/365)

4 0
2 years ago
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