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jek_recluse [69]
3 years ago
9

What do 3/4 + (1/4 - 1/6) equal?

Mathematics
2 answers:
Svetllana [295]3 years ago
8 0
10/12 which simplified to 5/6
Mnenie [13.5K]3 years ago
4 0

Answer:

Step-by-step explanation:

3/4 + (1/4 - 1/6)

= 3/4 +1/4 - 1/6

The LCM = 12

= {(3×3) + (1×3) - (2×1)}/12

= (9+3-2)/12

= 10/12

= 5/6

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Find the equation of the line in slope-intercept form (-1,-1) and (1,0)
ArbitrLikvidat [17]

Answer:

An equation in slope-intercept form of the line will be

  • y\:=\frac{1}{2}x-\frac{1}{2}

Step-by-step explanation:

The slope-intercept form of the line equation

y = mx+b

where m is the slope and b is the y-intercept

Given the points

  • (-1, -1)
  • (1, 0)

Finding the slope between (-1,-1) and (1,0)

\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

\left(x_1,\:y_1\right)=\left(-1,\:-1\right),\:\left(x_2,\:y_2\right)=\left(1,\:0\right)

m=\frac{0-\left(-1\right)}{1-\left(-1\right)}

m=\frac{1}{2}

substituting m = 1/2 and (-1, -1) in the slope-intercept form of the line equation to determine the y-intercept

y = mx+b

-1=\frac{1}{2}\left(-1\right)+b

-\frac{1}{2}+b=-1

Add 1/2 to both sides

-\frac{1}{2}+b+\frac{1}{2}=-1+\frac{1}{2}

b=-\frac{1}{2}

substituting m = 1/2 and b = -1/2 in the slope-intercept form of the line equation

y = mx+b

y\:=\frac{1}{2}x+\left(-\frac{1}{2}\right)

y\:=\frac{1}{2}x-\frac{1}{2}

Therefore, an equation in slope-intercept form of the line will be

  • y\:=\frac{1}{2}x-\frac{1}{2}
3 0
2 years ago
A building that is 25 meters tall casts a shadow that is 6 meters long. At the same time, a tree cast a shadow that is 4 meters
Kamila [148]
God I remember when I had to that last year in 7th grade honors. I know you have to set up a proportion.

25/6. X/4. Find x and you get your answer
3 0
3 years ago
The difference of six times a number and four is twenty. Find the number.
lys-0071 [83]

Answer:

8/3 or 2.667

Step-by-step explanation:

6x+4=20

20-4= 16

6x/6=x

16/6=8/3 or 2.667

8 0
3 years ago
Read 2 more answers
What is the value of a?<br><br><br><br><br> 27.5<br><br><br> 45<br><br><br> 90<br><br><br> 50
Valentin [98]
90. The measure of an inscribed angle is half of that of the measure of its arc, and the measure of the angle corresponding with arc a is 45. 45*2 is 90, so 90 is the measure of arc a.
7 0
3 years ago
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Find the probability of a least one birthday match among a group of 44 people.
Cerrena [4.2K]

Answer:

0.1137= 11.37%

Step-by-step explanation:

Assuming there are 365 days in one year and every people have 1 birthday, then the chance for two people to have the same birthday is 1/365 and the chance they are not is 364/365. We are asked the chance for at least one match among 44 people. The opposite of the condition is that we have 0 matches and easier to calculate. The calculation will be:

P(X>=1)= ~P(X=0) = 1

P(X>=1)=- P(X=0)

P(X>=1)=1 - (364/365)^44

P(X>=1)=1- 0.8862

P(X>=1)=11.37%

3 0
3 years ago
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