1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
lisov135 [29]
3 years ago
12

Find equivalent fractions with common denominator and order least to greatest 1/6 1/3 3/4

Mathematics
1 answer:
Oksanka [162]3 years ago
5 0
To get the common denominator, we need to get the multiples of each denominator.

multiples of 6 : 6, 12, 18
multiples of 3 : 3, 6, 9, 12
multiples of 4 : 4, 8, 12

The common multiple 12. So, we need to multiply each fraction by the corresponding number that will result to a product of 12 in the denominator. Whatever number is multiplied to the denominator must also be the number multiplied to the numerator.

1/6 * 2/2 = 2/12
1/3 * 4/4 = 4/12
3/4 * 3/3 = 9/12

Since the denominator is already common, we use the numerator to arrange it in order from least to greatest. 2 is lesser than 4 and 4 is less than 9.

So, order from least to greatest ⇒ 1/6 , 1/3, and 3/4
You might be interested in
Dennis started to work at a hospital as a nurse assistant. He earned
avanturin [10]
20.5 is his hourly pay rate
8 0
3 years ago
A college-entrance exam is designed so that scores are normally distributed with a mean of 500 and a standard deviation of 100.
yawa3891 [41]

Answer:

The probability is  0.003

Step-by-step explanation:

We know that the average \mu is:

\mu=500

The standard deviation \sigma is:

\sigma=100

The Z-score is:

Z=\frac{x-\mu}{\sigma}

We seek to find

P(x800)

For P(x>800) The Z-score is:

Z=\frac{x-\mu}{\sigma}

Z=\frac{800-500}{100}

Z=3

The score of Z = 3 means that 800 is 3 standard deviations from the mean. Then by the rule of the 8 parts of the normal curve, the area that satisfies the conficion of 3 deviations from the mean has percentage of 0.15%

So

P(x>800)=0.15\%

For P(x<200) The Z-score is:

Z=\frac{x-\mu}{\sigma}

Z=\frac{200-500}{100}

Z=-3

The score of Z = -3 means that 200 is 3 standard deviations from the mean. Then by the rule of the 8 parts of the normal curve, the area that satisfies the conficion of 3 deviations from the mean has percentage of 0.15%

So

P(x

Therefore

P(x800)=P(x800)

P(x800)=0.0015 + 0.0015

P(x800)=0.003

6 0
3 years ago
What is the slope of the line ?(khan academy)
Ad libitum [116K]

Answer:

The slope of the line is 2.

Step-by-step explanation:

Slope of a line:

Suppose that we have two points. The slope of the line is given by the change in y divided by the change in x.

In this question:

Points (0,0) and (1,2)

Change in y: 2 - 0 = 2

Change in x: 1 - 0 = 1

Slope: m = \frac{2}{1} = 2

The slope of the line is 2.

7 0
4 years ago
Unit 8: Right Triangles &amp; Trigonometry<br> Homework 2: Special Right Triangles
Vsevolod [243]

Answer:

Part 1) x=14\sqrt{2}\ units

Part 2) y=14\ units

Part 3) z=14\sqrt{3}\ units

Step-by-step explanation:

see the attached figure with letters to better understand the problem

step 1

In the right triangle ABC

we know that

The triangle ABC is a 45^o-90^o-45^o

so

Is an isosceles right triangle

The legs are equal

therefore

AC=AB

x=14\sqrt{2}\ units

step 2

Find the length side BC

Applying the Pythagorean Theorem]

BC^2=AB^2+AC^2

BC^2=(14\sqrt{2})^2+(14\sqrt{2})^2

BC^2=784\\BC=28\ units

step 3

Find the value of y

In the right triangle BCD

sin(30^o)=\frac{BD}{BC} ----> by SOH (opposite side divided by the hypotenuse)

sin(30^o)=\frac{y}{28}

Remember that

sin(30^o)=\frac{1}{2}

so

\frac{y}{28}=\frac{1}{2}\\\\y=14\ units

step 4

Find the value of z

In the right triangle BCD

cos(30^o)=\frac{DC}{BC} ----> by CAH (adjacent side divided by the hypotenuse)

cos(30^o)=\frac{z}{28}

Remember that

cos(30^o)=\frac{\sqrt{3}}{2}

so

\frac{z}{28}=\frac{\sqrt{3}}{2}\\z=14\sqrt{3}\ units

3 0
3 years ago
Read 2 more answers
Find the slope of the line that has the points: (2, 3) and (6, 6).
lana66690 [7]

Answer:

Step-by-step explanation:

The slope is 3/4

8 0
3 years ago
Read 2 more answers
Other questions:
  • A parallelogram has sides 24m and 5m. The height corresponding to a 24m base is 4m. What is the height corresponding to a 5m bas
    6·1 answer
  • Newman is building a patio. He estimates that he can install 8 square feet of paver bricks every quarter-hour. How many square f
    7·1 answer
  • Only number 8 and show the work please?
    9·1 answer
  • Country A has a growth rate of 3.4​% per year. The population is currently 4,118​,000, and the land area of Country A is 29​,000
    9·1 answer
  • DIVIDING RATIONAL EXPRESSIONS
    12·1 answer
  • In a square with side length of 6, what is the distance between the center of the square and the center of the largest equilater
    6·1 answer
  • Can someone help please
    14·2 answers
  • Pls help <br>what is the surface area of this triangular prism in square units​
    15·1 answer
  • Can someone please help me
    13·2 answers
  • (-786)+(-923)=(-923)+(-786) <br> verify
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!