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3 years ago

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A bag contains 7 red, 3 yellow, and 4 blue marbles. What is the probability of pulling out a blue marble, followed by a red marb

le, without replacing the blue marble first?
A) 11/14
B) 1/7
C) 2/13
D) 75/91

1 answer:

xeze [42]3 years ago

3 0

Answer:

Step-by-step explanation:

(4/14)(7/13)=28/182

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Suppose you have two numbersPandQ. Explain carefully why the product of their greatest commondivisor and their least common mult

zloy xaker [14]

Answer:

Greatest common divisor (P,Q) × Least common multiple (P,Q) = PQ

Step-by-step explanation:

Given: Two numbers are P and Q

To prove: product of their greatest common divisor and their least common multiple is equal to PQ

Solution:

Consider the following relation:

Greatest common divisor (P,Q) × Least common multiple (P,Q) = Product of numbers P and Q

Therefore,

Greatest common divisor (P,Q) × Least common multiple (P,Q) = PQ

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3 years ago

A garden is in the shape of a rectangle and has a perimeter of 58 yards. The length of the garden is 5 more than twice the width

slega [8]

$P=2l+2w$
$l=2w+5$
$58=2(2w+5)+2w$
$58=4w+10+2w$
$48=6w$
$w=6$
$58=2l+12$
$2l=46$
$l=23$

Check
2(6)+2(23)=12+46=58 Check
23=2(6)+5; 23=18+5; 23=23 Check

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3 years ago

What type of quadrilateral is quadrilateral ABCD if AB=4x-2, BC=2x+12, DC=3x+5, AD=6x-16, AC=4x+12, DB=8x-10, and x=7? Explain a

ivanzaharov [21]

Answer:

The quadrilateral ABCD is a square.

Step-by-step explanation:

According to the statement, AB, BC, CD and DA are the sides of the quadrilateral, whereas DB and AC are its diagonals. If we know that $x = 7$ , $AB = 4\cdot x - 2$ , $BC = 2\cdot x + 12$ , $DC = 3\cdot x +5$ , $AD = 6\cdot x -16$ , $AC = 4\cdot x + 12$ and $DB = 8\cdot x -10$ , the lengths of each line segment are respectively:

Sides

$AB = 4\cdot (7) -2$

$AB = 26$

$BC = 2\cdot (7) +12$

$BC = 26$

$DC = 3\cdot (7) +5$

$DC = 26$

$AD = 6\cdot (7) -16$

$AD = 26$

Diagonals

$AC = 4\cdot (7) +12$

$AC = 40$

$DB = 8\cdot (7) - 10$

$DB = 40$

This information indicates that this quadrilateral is a square because of these characteristics:

1) All sides have the same length.

2) The ratio of any diagonal to any side is $\sqrt{2}$ .

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3 years ago

During Marta's last youth league soccer game, the starting players for each team had varied heights. The following is a list of

san4es73 [151]

A 59 inches hope this helps

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4 years ago

Read 2 more answers

You are given the system of equations to solve by the elimination method, which is an INCORRECT step that will NOT produce a sys

ziro4ka [17]

See explanation for the incorrect step.

Step-by-step explanation:

The steps for solving simultaneous equations by elimination method are;

Naming the equations (i) and (ii)
Multiplying each equation by a suitable number so that the two equations have the same leading coefficients
Subtracting the second equation (ii) from the first equation (i)
Solving the new equation for value of x or y
Substituting the value of x or y in equation (i) or (ii)
Getting the solutions

In this case, the equations are;

5x+3y=5-------------- (i)

8x+2y=6-------------- (ii)

--------------multiplying equation (i) by 2 and (ii) by 3

10x+6x=10

24x+6y=18

-------------------performing subtraction

14x=8 --------divide both sides by 14 to remain with x

14x/14 =8/14

x=8/14 = 4/7

Substitute value of x in equation (i)

5(4/7) +3y =5

20/7 +3y =5 -------collect like terms

3y= 5- 20/7

3y=15/7

y=5/7

Learn More

Elimination Method :brainly.com/question/11962747

Keywords: system, equations,elimination method, incorrect,step,solution

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4 years ago