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3 years ago

8

Julia has a bag containing p blue marbles and q red marbles. The ratio of blue to red is 2:3. She adds r blue marbles. The ratio

of blue to red marbles is now 2:1 . What is the ratio between p and r?

2 answers:

aivan3 [116]3 years ago

3 0

1:3 ratio between p and r

zubka84 [21]3 years ago

3 0

Okay, so we have 2p = q+r, and 2p = 3q, so 3q = q=r, then 2q = r, and 3q = 1.5r, and so 2p = 1.5 r, and p = 0.75r or p = 3r/4

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What is the square root of 5x^2 = 300

vesna_86 [32]

So, values of x are: $x=2\sqrt{15},\,\,x=-2\sqrt{15}$

Step-by-step explanation:

We need to find the square root of 5x^2 = 300

Writing in mathematical form:

$5x^2=300$

Divide both sides by 5

$\frac{5x^2}{5}=\frac{300}{5}$

$x^2=60$

Taking square root on both sides

$\sqrt{x^2}=\sqrt{60}$

$x=\pm (\sqrt{2\times 2\times 3\times 5})$

$x=\pm (\sqrt{2^2 \times 3\times 5})$

$x=\pm (2\sqrt{3\times 5})$

$x=\pm (2\sqrt{15})$

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Keywords: Square root

Learn more about square root at:

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3 years ago

Which undefined term can contain parallel lines?<br> O line<br> O plane<br> o point<br> O ray

lapo4ka [179]

Answer:

should be a plane.

a plane is two dimensional and has intimate length and width. so it contains infinite lines.

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2 years ago

If a secretary typed 10,800 words in 2 hours and 30 minutes, how many words per minute did she type? ( Hint: Change hours to min

melamori03 [73]

<h3>Answer: 72 words per minute</h3>

Work Shown:

1 hour = 60 min

2 hours = 120 min (multiplied both sides by 2)

2 hours + 30 min = 120 min + 30 min = 150 min

speed = (number of words typed)/(time taken)

speed = (10800 words)/(150 min)

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2 years ago

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nadya68 [22]

Distance formula : d = sqrt (x2 - x1)^2 + (y2 - y1)^2
(-5,8)(10,-7)

d = sqrt (10 - (-5)^2 + (-7 - 8)^2
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d = sqrt (15^2) + (-15^2)
d = sqrt 225 + 225
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3 years ago

A triangle has one leg that measures 12 cm and a hypotenuse 24 cm. Find the length of the other leg to the nearest tenth of cent

Minchanka [31]

9514 1404 393

Answer:

20.8 cm

Step-by-step explanation:

The term "hypotenuse" suggests this triangle is a right triangle. Then the other leg can be found using the Pythagorean theorem:

x^2 +12^2 = 24^2

x^2 = 576 -144 = 432

x = √432 ≈ 20.8 . . . cm

The other leg is about 20.8 cm.

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<em>Additional comment</em>

A right triangle with a short leg that is 1/2 the length of the hypotenuse is the "special" 30°-60°-90° right triangle. The longer leg is √3 times the length of the short leg: 12√3 ≈ 20.8 cm.

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