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4 years ago

X=(y-x)+6 solve for x

Mathematics

1 answer:

Lesechka [4]4 years ago

5 0

$x=(y-x)+6\\\\x=y-x+6\ \ \ \ \ |+x\\\\2x=y+6\ \ \ |:2\\\\\boxed{x=\dfrac{y+6}{2}}$

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Diego eats 1/5 of a loaf of bread each day. On Tuesday, Diego eats 1/4 of the day’s portion before lunch. What fraction of the w

LiRa [457]

Answer:

$\frac{1}{20}$

Step-by-step explanation:

We have been given that Diego eats 1/5 of a loaf of bread each day. On Tuesday, Diego eats 1/4 of the day’s portion before lunch.

To find the fraction of the whole loaf eaten by Diego before lunch on Tuesday, we will find 1/4 of 1/5 as:

$\text{Fraction of the whole loaf eaten by Diego}=\frac{1}{5}\times \frac{1}{4}$

$\text{Fraction of the whole loaf eaten by Diego}=\frac{1\times1}{5\times4}$

$\text{Fraction of the whole loaf eaten by Diego}=\frac{1}{20}$

Therefore, Diego has eaten $\frac{1}{20}$ of the whole loaf before lunch on Tuesday.

4 0

3 years ago

Which of the following could be the probability distribution for a loaded number cube?

Ierofanga [76]

<h3>Answer: Choice B</h3>

=======================================================

Explanation:

The requirements for a probability distribution are this

The individual probabilities must be between 0 and 1, inclusive of both endpoints. We can say $0 \le p \le 1$ where p is an individual probability.
The probabilities must sum to 1.

Condition #1 shown above allows us to rule out choice C due to -0.10 not being in the interval from 0 to 1.

We can also rule out choice D since the probabilities sum to this

0.20+0.15+0.20+0.20+0.20+0.20 = 1.15

The sum is too large. The sum needs to be 1.00 or just 1.

So that leaves choice A or choice B as the possible answer. Both distributions fit conditions #1 and #2 as shown above (I'll let you confirm these facts). However, choice A is ruled out because that distribution is considered fair. Each probability for choice A is equal, so each side of the cube is equally likely to be landed on.

For choice B, the probabilities are different, so we don't have a fair cube here and it is considered loaded or biased.

7 0

3 years ago

Determine the discount between the point(-4,2) and the line 4y=3×+6

Savatey [412]

Answer:

d = 14/5

Step-by-step explanation:

The point (-4,2) means that;

At x = -4, y = 2

Now general form of a linear equation is;

Ax + By + C = 0

We are given;

4y = 3x + 6

Rearranging to the form of a linear equation gives;

3x - 4y + 6 = 0

Thus, A = 3, B = -4 and C = 6

Thus, at point (-4,2), distance between them is;

d = (3(-4) - 4(2) + 6)/√(3² + (-4)²)

d = -14/5

We will take the absolute value.

Thus; d = 14/5

6 0

3 years ago

6/6=42/_<br>Fill the blank space with the answer

artcher [175]

Answer:

Step-by-step explanation:

6/6 = 1

42/42 = 1

8 0

3 years ago

Read 2 more answers

40 POINTS + BRAINLIEST! PLEASE SHOW ALL WORK

m_a_m_a [10]

SF = 4/8 = 1/2

<span>So prism B is 2720(1/2)^3 = 340 cm^3
</span>
volume of prism B = 340 cm^3

6 0

3 years ago