3 years ago

A bag contains 5 red marbles, 3 green marbles, 2 purple marbles, 2 orange marbles, and 1 blue marble.

Mathematics

2 answers:

Daniel [21]3 years ago

6 0

Blue is the correct answer

lawyer [7]3 years ago

3 0

Answer:

blue marble is the right answer

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Use completing the square to determine which of the following gives the solutions to 3x2 - 24x + 40 = 28.

jeka94

Answer:

$x=4+2\sqrt{3}$

$x=4-2\sqrt{3}$

Step-by-step explanation:

Completing the square

when $ax^2+bx+c=0$

Given equation:

$3x^2-24x+40=28$

Subtract 40 from both sides:

$\implies 3x^2-24x=-12$

Divide both sides by 3:

$\implies x^2-8x=-4$

Add the square of half the coefficient of $x$ to both sides:

$(\frac{b}{2})^2=(\frac{-8}{2})^2=16$

$\implies x^2-8x+16=-4+16$

Factor the left side and simplify the right side:

$\implies (x-4)^2=12$

Square root both sides:

$\implies x-4=\pm\sqrt{12}$

Add 4 to both sides and simplify the radical:

$\implies x=4\pm\sqrt{4 \cdot 3}$

$\implies x=4\pm\sqrt{4}\sqrt{3}$

$\implies x=4\pm2\sqrt{3}$

5 0

1 year ago

Ryan set a table with a fork, knife, and spoon for each dinner guest. He used a total of 36 pieces of silverware. Which number s

Crazy boy [7]

Answer: 12 guests

Step-by-step explanation:

Take 36 (silverware) and divide by three (spoon fork and knife) and you will get 12!

3 0

3 years ago

What is 10.417 rounded to the nearest hundredth?

san4es73 [151]

10.417 rounded to the nearest hundredth = 10.42

3 0

3 years ago

PLEASE HELP AND EXPLAIN

nadezda [96]

I have never see this in my. Life

5 0

2 years ago

Read 2 more answers

10(x + 4) + 15(x + 1) 55 x 25 x + 5 25 x + 55

DedPeter [7]

Answer:

Step-by-step explanation:

10(x+4)+15(x+1)

10x+40+15x+15

25x+55

7 0

3 years ago