Hi i am Grace and i realllyyyyyy need help on this. If you could please help that would be great.

Mathematics

1 answer:

uranmaximum [27]3 years ago

7 0

The probability of picking a black ball first is $\dfrac{4}{5}$ , because there are 4 black balls and 1 white ball which is 5 balls in total. After picking the first ball, 4 balls remain - 3 black and 1 white, so the probability of picking a white ball is $\dfrac{1}{4}$ .
So, the probability of picking a black ball first followed by a white ball is $\dfrac{4}{5}\cdot\dfrac{1}{4}=\dfrac{1}{5}$

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Which number should each side of the equation 4/5x=8 be multiplied by to produce he equivalent equation of x=10?

gulaghasi [49]

<< Add $.\frac{-4}{5}$ to the left and right of the equation, multiple and make ''opposite multiplation'' to find x.

A) $\frac{4}{5x}. \frac{-4}{5} = 8. \frac{-4}{5} 
$
$\frac{16}{25x} = \frac{-32}{5}$
25x.(-32)= (-16).5
-800x= -80

**to leave x alone and positive, you must divide to -800.
$x= \frac{-80}{-800}$
$x= \frac{1}{10}$
= INCORRECT

B) $\frac{4}{5x} . \frac{1}{5} = 8. \frac{1}{5} 
$
$\frac{4}{25x} = \frac{8}{5}$
$25x.8= 4.5$
$200x=20
$
$x= \frac{20}{200} = \frac{1}{10}$

C) $\frac{4}{5x} . \frac{5}{4}= \frac{8.5}{4}$
$\frac{1}{x} = \frac{40}{4}$
$\frac{1}{x} =10$
10x=1
$x= \frac{1}{10}$

D) $\frac{4.5}{5x} = 8.5$
$\frac{4}{x} = 40$
40x= 4
x= $\frac{4}{40}$ = 1/10

I think there is a problem with the options :D

5 0

4 years ago

What is the value of x?

Nikolay [14]

Answer: 7 centimeters

Explanation:

Let triangle ABC and triangle CDE form a bow tie such that
- triangle ABC is smaller than triangle CDE
- Segment AC and segment CD are the north sides
- Segment BC and segment CE are the bottom sides
- AC = 6, CD = 42, CE = 36, BC = x

Since angle ACB and angle ECD are formed by intersecting segment AE and segment BD at point C, they are vertical angles. (See the attached picture) So, angle ACB and angle ECD are congruent.

Moreover when we form our bowtie, point A is in the north side and point E is in the bottom sides and this implies that angle BAC and angle CED are alternate interior angles as shown in the attached figure.

Since it is given in the problem that alternating interior angle are congruent, angle BAC and angle CED are congruent.

Now, we have the following pairs of angles in triangle ABC and triangle CDE that are congruent:

- angle BAC and angle CED
- angle ACB and angle ECD

By AA Similarity theorem, when we have two pairs of congruent angles for two triangles, then the two triangles are similar. So, triangle ABC and triangle CDE are similar.

In similar triangles, the sides that are opposite to the congruent angles are proportional to each other. So,

$\frac{BC}{CD} = \frac{AC}{CE} 


$ (1)

Since $AC = 6, CD = 42, CE = 36, BC = x$ , we can substitute these values to equation (1). So, equation (1) becomes

$\frac{x}{42} = \frac{6}{36}$
$\frac{x}{42} = \frac{1}{6}$ (2)

SInce we are solving for x, we can multiply both sides of equation (2) by the denominator at the left side which is 42 so that

x = 42(1/6)
x = 7 centimeters