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iVinArrow [24]
3 years ago
10

Which is a correct first step in solving 5 - 2x < 8x - 3?

Mathematics
2 answers:
Natasha2012 [34]3 years ago
4 0

Answer:

5< 10x -3

add like terms first

make sure X's are on one side and numbers on the other

Trava [24]3 years ago
4 0

Answer:

5  < 10x - 3

Step-by-step explanation:

5 - 2x < 8x - 3?

Add 2x to each side

5 - 2x+2x < 8x - 3+2x

5  < 10x - 3

You might be interested in
There were 2,626,418 deaths in 2014 according to the CDC. 614,348 of these deaths were caused by diseases of the heart and 136,0
Alex777 [14]

Answer:

= 0.714 (in decimal fraction)

The probability that the death in 2014 was not caused by heart diseases or Unintentional Injuries = 0.714

= 0.714

Step-by-step explanation:

Let's interpret the question our way ti solve it .

Total deaths in 2014:

2626418

Death caused by Heart Diseases:

614348

Death caused by Unintentional Injuries:

750401

Therefore, we can deduced that, the number of death not caused by Heart Diseases or Unintentional Injuries = Total deaths in 2014 minus sum of the recorded death.

= 2626418 - ( 614348 + 136053)

= 2626418 - 750401

= 1876017.

Now, the probability that there were death in 2014 is 1 (one)

To find the probability that death we're not caused by heart diseases or Unintentional Injuries:

= 1 - Pr (Death Caused by heart diseases) + Pr (Death causes by Unintentional Injuries)

= 1 - (0.234 + 0.052)

= 1 - 0.286

= 0.714

To Check:

= 1876017 / 2626418

Divide to the lowest term

=0.714

5 0
4 years ago
Estimate the solution to the system of equations 7x−y=7 x+2y=6 ​i need help
Yanka [14]

Answer:

(4/3, 7/3)

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

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality

<u>Algebra I</u>

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

Step-by-step explanation:

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

7x - y = 7

x + 2y = 6

<u>Step 2: Rewrite Systems</u>

Equation: x + 2y = 6

  1. [Subtraction Property of Equality] Subtract 2y on both sides:                    x = 6 - 2y

<u>Step 3: Redefine Systems</u>

7x - y = 7

x = 6 - 2y

<u>Step 4: Solve for </u><em><u>y</u></em>

<em>Substitution</em>

  1. Substitute in <em>x</em>:                                                                                                7(6 - 2y) - y = 7
  2. Distribute 7:                                                                                                    42 - 14y - y = 7
  3. Combine like terms:                                                                                       42 - 15y = 7
  4. [Subtraction Property of Equality] Subtract 42 on both sides:                    -15y = -35
  5. [Division Property of Equality] Divide -15 on both sides:                             y = 7/3

<u>Step 5: Solve for </u><em><u>x</u></em>

  1. Define original equation:                                                                               x + 2y = 6
  2. Substitute in <em>y</em>:                                                                                                x + 2(7/3) = 6
  3. Multiply:                                                                                                           x + 14/3 = 6
  4. [Subtraction Property of Equality] Subtract 14/3 on both sides:                  x = 4/3
7 0
3 years ago
Find the distance between the points (0,-2) and (-8,-8)
Ostrovityanka [42]

Answer:

Distance between the points = 10 units

Step-by-step explanation:

Given points:

(0,-2) and (-8,-8)

To find the distance between the two points.

Solution:

Applying distance formula to find the distance between the points.

For points (x_1,y_1) and (x_2,y_2) the distance is given as:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Plugging in the given points in the formula.

d=\sqrt{(-8-0)^2+(-8-(-2))^2}

d=\sqrt{(-8)^2+(-8+2))^2}

d=\sqrt{(-8)^2+(-6)^2}

d=\sqrt{64+36}

d=\sqrt{100}

d=\pm10

Since distance is always positive. So d=10 units.

3 0
3 years ago
A sphere has a volume of 36π in3. What is the radius of the sphere?
amm1812

Answer:

r = 3 inches

Step-by-step explanation:

The formula for the volume of a sphere is the following:

V = (4π/3)r^3

You know the volume so plug that in for V:

36π = (4π/3)r^3

27 = r^3 (multiply by 3/4π to get r^3 by itself)

r = 3 (you take the cube root of r and 27 to get the value of r)

Hope this helps :)

3 0
3 years ago
Read 2 more answers
Why does the fraction 20/25 not belong with 1/20, 2/3 and 5/4?
devlian [24]
I’m not 100% sure but I think it’s because 20/25 can still be simplified further, while the other 3 can’t.
7 0
3 years ago
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