All categories

3 years ago

What two numbers are located 5/8 of a unit from 1/6 on a number line

Mathematics

1 answer:

velikii [3]3 years ago

5 0

Step 1
Find the common denominator.
5/8 and 1/6---------> would be 2³*3----> 24

step 2
multiply (5/8) by (3/3) and (1/6) by (4/4)
5/8-----> 15/24
1/6-----> 4/24

step 3
find the numbers
4/24+15/24------> 19/24
4/24-15/24-------> -11/24

the answer is
the two numbers are
19/24 and -11/24

see the attached figure

You might be interested in

Alaina has $28 in her account. She wants to purchase a pair of shoes that costs $45. If Alaina makes the purchase, which integer

k0ka [10]

Alaina has $28 in her account and wants to buy shoes worth $45

So $28-$45=$-17

Her account status will be $ - 17

Hope this helps

3 0

3 years ago

Read 2 more answers

Which property was used to simplify the expression?

Montano1993 [528]

Answer:

inverse i believe, because the numbers are switched around on the right side of the equal sign.

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

A city hosted a music festival that included three concerts. According to the sales database, 28% of the audience attended the f

Vitek1552 [10]

Answer:

$P(X\cap Y\cap Z)=0.05$

Step-by-step explanation:

From the question we are told that:

Percentage of audience in first concert $P(X)=0.28$

Percentage of audience in second concert $P(Y)=0.42$

Percentage of audience in third concert $P(Z)=0.30$

Audience Percentage at at-least one concert $P(X \cup Y \cup Z)=0.80$

Percentage of audience at first & second concert $P(X \cap Y)=0.10$

Percentage of audience in first & third concert $P(X \cap Z)=0.08$

Percentage of audience in second & third concert $P(Y\cap Z)=0.07$

Generally the equation for probability of attending all concerts $P(X\cap Y\cap Z)$ is mathematically given by

$P(X \cup Y \cup Z)=P(X)+P(Y)+P(Z)-P(X \cap Y)-P(X \cap Z)-P(Y\cap Z)+P(X\cap Y\cap Z)$

$P(X\cap Y\cap Z)=P(X \cup Y \cup Z)-P(X)-P(Y)-P(Z)+P(X \cap Y)+P(X \cap Z)+P(Y\cap Z)$

$P(X\cap Y\cap Z)=0.80-0.28-0.42-0.30+0.10+0.80+0.70$

$P(X\cap Y\cap Z)=0.05$

Therefore the probability that a randomly selected audient attended all the concerts

$P(X\cap Y\cap Z)=0.05$

8 0

3 years ago

What is an equation of the line that passes through the point (-6,7) and is perpendicular to the line

Temka [501]

The equation of line perpendicular to given line through (-6,7) is:

$y=\frac{1}{6}x+8$

Further explanation:

Given equation of line is:

$6x+y=3\\y= -6x+3$

The co-efficient of x is the slope of given line.

Let m1 be the slope of given line

and

m2 be the slope of line perpendicular to given line

Then

$m_1=-6$

Product of slopes of perpendicular lines is -1

$m_1*m_2 = -1\\-6*m_2=-1\\m_2=\frac{-1}{-6}\\m_2=\frac{1}6}$

The equation of new line can be written as:

$y=m_2x+b\\$

Putting m2

$y=\frac{1}{6}x+b$

To find the value of b, we will put (-6,7) in equation

$7=\frac{1}{6}(-6)+b\\7=-1+b\\b=7+1\\b=8$

Putting the values of b and m in general equation

$y=\frac{1}{6}x+8$

Keywords: Slope, Point-slope form, perpendicular lines

Learn more about perpendicular lines at:

#LearnwithBrainly

5 0

3 years ago

How to find a common denominator of 6/7 and 5/13

Aneli [31]

Just invert it like:
$7*13=91 \\ 13*7=91$

There you have your common denominator! Don't forget to multiply the numerator as well.

7 0

3 years ago