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2 years ago

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A jar of marbles contains 7 blue marbles, 12 yellow marbles, 8 green marbles, and 5 red marbles. Use this information to answer

the following questions. Mark chooses a marble at random from the jar. Without looking at it, he puts it in his pocket then draws another marble out of the jar. What is the probability that Mark chose a red marble on the first draw and red marble on the second
A. 5/248
B. 9/32
C. 5/8
D. 1/7

1 answer:

Andreyy892 years ago

6 0

The correct answer is 9/32

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If mJI = (3x+2)°, mHLK = (15x-36)°, and m∠HML = (8x-1)°, find mHLK

Gala2k [10]

Answer:

The value of mHLK will be "(204)°".

Step-by-step explanation:

The given values are:

mJI = (3x+2)°

mHLK = (15x-36)°

and,

m∠HML = (8x-1)°

then,

mHLK = ?

Now,

By using chord-chord formula of angle, we get

$mHMK=\frac{1}{2}(mJL+mHLK)$

On putting the values in the above formula, we get

⇒ $(8x-1)=\frac{1}{2}(15x-36+3x+2)$

On applying cross-multiplication, we get

⇒ $2(8x-1)=18x-34$

⇒ $16x-2=18x-34$

On subtracting "18x" from both sides, we get

⇒ $16x-2-18x=18x-34-18x$

⇒ $-2x-2=-34$

On adding "2" both sides, we get

⇒ $-2x=-34+2$

⇒ $-2x=-32$

⇒ $x=\frac{32}{2}$

⇒ $x=16$

On putting the value of "x" in mHLK = (15x-36)°, we get

⇒ (15x-36)° = (15×16-36)°

⇒ = (240-36)°

⇒ = (204)°

So that mHLK = (204)°

4 0

2 years ago

Which relationships have the same constant of proportionality between yyy and xxx as the equation y=\dfrac{5}{2}xy= 2 5 xy, eq

LUCKY_DIMON [66]

Answer:

$8y = 20x$

Step-by-step explanation:

Given

$y=\dfrac{5}{2}x$

Required

Determine equivalent expressions

A. 5y = 2x

$y=\dfrac{5}{2}x$

Multiply through by 5

$5 * y=\dfrac{5}{2}x * 5$

$5y=\dfrac{25}{2}x$

<em>This is not equivalent</em>

B. 8y = 20x

$y=\dfrac{5}{2}x$

Multiply both sides by 8

$8 *y=\dfrac{5}{2}x * 8$

$8y=\dfrac{5 * 8}{2}x$

$8y=\dfrac{40}{2}x$

$8y = 20x$

<em>The other options are not clear.</em>

However, another possible relationship is when

$y=\dfrac{5}{2}x$ is cross multiplied

This gives:

$2y = 5x$

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2 years ago

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A shop sells CDs. The pictogram shows information about the CDs sold.

katrin2010 [14]

Answer:

C

Step-by-step explanation:

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2 years ago

Two boats start their journey from the same point A and travel along directions AC and AD, as shown below: ABC is a right triang

Dmitriy789 [7]

*See the figure in the attachment below

Answer:

346.4 ft

Step-by-step Explanation:

The distance between the boats, CD = BD - BC

Using trigonometric ratio formula, find the length of BD in right triangle ∆ABD, and also find the length of BC in right triangle ABC.

Length of BD in triangle ABD:

Opposite length to <30° = 300 ft

Adjacent length = BD

$tan(30) = \frac{300}{BD}$

$BD*tan(30) = 300$

Divide both sides by tan(30)

$\frac{BD*tan(30)}{tan(30)} = \frac{300}{tan(30)}$

$BD = 519.6 ft$ (nearest tenth)

Length of BC in triangle ABC:

Opposite length to <60° = 300 ft

Adjacent length = BC

$tan(60) = \frac{300}{BC}$

$BC*tan(60) = 300$

Divide both sides by tan(60)

$\frac{BC*tan(60)}{tan(60)} = \frac{300}{tan(60)}$

$BC = 173.2 ft$ (nearest tenth)

distance between, CD, between the boats = BD - BC

= 519.6 - 173.2 = 346.4 ft

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2 years ago

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Stacy goes to the county fair with her friends. The total cost of ride tickets is given by the equation c = 3.5t, where c is the

Step2247 [10]

Answer:

She would spend 52.5$

Step-by-step explanation:

none

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2 years ago

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