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
Andreas93 [3]
1 year ago
7

Write two equivalent fractions for the point on the number line.

Mathematics
1 answer:
navik [9.2K]1 year ago
5 0

The values on the number line are between 0 and 1. There are 8 points from 0. The distance between two consecutive points would be

1/8 = 0.125

Since the given point is on the second point after 0, the equivalent value would be

2 * 1/8 = 2/8

Dividing the numerator and denominator of 2/8 by 2, we have 1/4

Thus, the two equivalent fractions for the point on number line are

2/8 and 1/4

You might be interested in
If you had 1052 toothpicks and were asked to group them in powers of 6, how many groups of each power of 6 would you have? Put t
sukhopar [10]

1052 toothpicks can be grouped into 4 groups of third power of 6 (6^{3}), 5 groups of second power of 6 (6^{2}), 1 group of first power of 6 (6^{1}) and 2 groups of zeroth power of 6 (6^{0}).

The number 1052, written as a base 6 number is 4512

Given: 1052 toothpicks

To do: The objective is to group the toothpicks in powers of 6 and to write the number 1052 as a base 6 number

First we note that, 6^{0}=1,6^{1}=6,6^{2}=36,6^{3}=216,6^{4}=1296

This implies that 6^{4} exceeds 1052 and thus the highest power of 6 that the toothpicks can be grouped into is 3.

Now, 6^{3}=216 and 216\times 5=1080, 216\times 4=864. This implies that 216\times 5 exceeds 1052 and thus there can be at most 4 groups of 6^{3}.

Then,

1052-4\times6^{3}

1052-4\times216

1052-864

188

So, after grouping the toothpicks into 4 groups of third power of 6, there are 188 toothpicks remaining.

Now, 6^{2}=36 and 36\times 5=180, 36\times 6=216. This implies that 36\times 6 exceeds 188 and thus there can be at most 5 groups of 6^{2}.

Then,

188-5\times6^{2}

188-5\times36

188-180

8

So, after grouping the remaining toothpicks into 5 groups of second power of 6, there are 8 toothpicks remaining.

Now, 6^{1}=6 and 6\times 1=6, 6\times 2=12. This implies that 6\times 2 exceeds 8 and thus there can be at most 1 group of 6^{1}.

Then,

8-1\times6^{1}

8-1\times6

8-6

2

So, after grouping the remaining toothpicks into 1 group of first power of 6, there are 2 toothpicks remaining.

Now, 6^{0}=1 and 1\times 2=2. This implies that the remaining toothpicks can be exactly grouped into 2 groups of zeroth power of 6.

This concludes the grouping.

Thus, it was obtained that 1052 toothpicks can be grouped into 4 groups of third power of 6 (6^{3}), 5 groups of second power of 6 (6^{2}), 1 group of first power of 6 (6^{1}) and 2 groups of zeroth power of 6 (6^{0}).

Then,

1052=4\times6^{3}+5\times6^{2}+1\times6^{1}+2\times6^{0}

So, the number 1052, written as a base 6 number is 4512.

Learn more about change of base of numbers here:

brainly.com/question/14291917

6 0
2 years ago
The notation f:S→T denotes that f is a function, also called a map , defined on all of a set S and whose outputs lie in a set T
AnnyKZ [126]

Answer:

There are many. Two examples are

f(x) = x, \\f(x) = x^3

Step-by-step explanation:

There are many examples. The simplest is

1 -

f(x) = x

It is trivial that

\text{if \,\,\,\,}  f(x) = f(y) \,\,\,\,\,\text{then} \,\,\,\,\, x=y

2 -

f(x) = x^3

That function is injective as well.

\text{if \,\,\,\,}  x^3 = y^3 \,\,\,\,\,\text{then} \,\,\,\,\, x=y

An example of a function that is NOT injective is

f(x) = x^2

Notice that

f(-2) = (-2)^2 = 2^2 = 4

4 0
3 years ago
What do you know about the scale factor for the dilation shown? Explain.
padilas [110]

We want to draw a conclusion about the scale factor for the dilation shown by only watching the given graph, the only conclusion we can take is that a scale factor is a number between 0 and 1. So we have a transformation that transforms the triangle ABC into the triangle A'B'C'.You can see that it is a dilation about the black dot seen in the given image, if the scale factor was a number larger than 1, then the dilated points would be further away from the black dot. But that is not the case, we can see that the images of the dilation are closer to the black dot, then this is not a "real" dilation, this is actually a contraction (where a contraction is a "dilation" of scale factor between zero and 1). Then the only thing that we can conclude with the given image is that the scale factor of the dilation shown is a number larger than 0 and smaller than 1.

8 0
3 years ago
3/4 is added to x, the result is 9/8. What is the value of x?
KIM [24]

Answer:

x=3/8

Step-by-step explanation:

turn 3/4 into a fraction that has a denominator of 8 3/4x2= 6/8

To get it to 9/8 you add x which is 3/8

so 3/8+6/8 is 9/8

x=3/8

4 0
3 years ago
There are (49)5 ⋅ 40 books at the library. What is the total number of books at the library?
ZanzabumX [31]
445 i think … i did 49 x 5 = 245 and then 40 x 5 = 200 and added 200+245 = 445
7 0
3 years ago
Other questions:
  • On a test flight during the landing of the space shuttle the ship was 323 ft above the end of the landing strip. If it came in a
    9·1 answer
  • The senior class took an end of the year trip. There were 290 total students in buses and cars. If each bus holds 45 students an
    13·1 answer
  • In a petri dish, a certain type of bacterium doubles in number every 40 minutes.
    12·1 answer
  • Roberto will save 1/6 of his allowance each day. If you get two dollars a day about how much money will you save round to the ne
    6·1 answer
  • 3 Which expression is equivalent to<br> 19 - 27?
    8·2 answers
  • Please i need help this is for tomorow
    5·2 answers
  • At 9:00 on Saturday morning, two bicyclists heading in opposite directions pass each other on a bicycle path.The bicyclist headi
    13·2 answers
  • What is the parallel line and slope of a perpendicular like for 3x+5y=4
    5·1 answer
  • A 28 foot ladder is leaning against a building. If the
    5·1 answer
  • Solve.<br> <img src="https://tex.z-dn.net/?f=2%205%2F6%20%2B%20%28-1%204%2F12%29%20%3D" id="TexFormula1" title="2 5/6 + (-1 4/12
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!