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
DochEvi [55]
3 years ago
14

Which is longer 1/4 foot or 1/4 yard?

Mathematics
1 answer:
Hitman42 [59]3 years ago
7 0
1/4 yard is longer because it takes 3 feet to equal to 1 yard
You might be interested in
A list contains twenty integers, not necessarily distinct. Does the list contain at least two consecutive integers?
algol13

Answer:

Answer c is correct. Both statements arent sufficient separately, but together they are sufficient.

Step-by-step explanation:

Neither of the statments are sufficient alone. Lets first analyze why statment (1) alone is not sufficient.

If we suppose that our list is scattered, so our values are pretty distant one to the other, one value increasing by one wont change this. The list will still be scattered and our values will remain distant one to the other.

For a concrete example, consider a list with values multiples of a thousand. Our list can look this way {1000,2000,3000, ....., 19000, 20000}. So we have 20 distinct values. Adding one to any of this 20 values wont change the fact that we have 20 different values. However, our list doesnt have 2 consecutive integers.

Proving (2) not being sufficient is pretty straightfoward. If our list contains 20 equal values it wont have 2 consecutive values, because all values are equal. For example the list with values {0, 0, 0, 0, ....., 0} will have the value 0 occuring more than once but it doesnt have 2 consecutive values.

Now, lets assume both statements (1) and (2) are valid.

Since (2) is valid there is an integer, lets call it <em>k</em>, such that <em>k</em> appears on the list at least twice. Because (1) is True, then if we take one number with value <em>k </em>and we increase its value by one, then the number of distinct values shoudnt change. We can observe a few things:

  1. There are 19 numbers untouched
  2. The only touched value is <em>k</em>, so our list could only lost <em>k </em>as value after adding 1 to it.
  3. Since <em>k</em> appears at least twice on the list, modifying the value of one<em> number</em> with value <em>k</em> wont change the fact that the rest of the numbers with value <em>k</em> will <em>preserve</em> its value. This means that k is still on the list, because there still exist numbers with value k.
  4. The only number that <em>could</em> be new to the list is k+1, obtained from adding 1 to k

By combining points 2 and 3, we deduce that the lists doesnt lose values, because point 2 tells us that the only possible value to be lost is k, and point 3 says that the value k will be preserved!

Since the list doesnt lose values and the number of different values is the same, we can conclude that the list shoudnt gain values either, because the only possibility for the list to adquire a new value after adding one to a number is to lost a previous value because the number of distinct numbers does not vary!

Point 4 tells us that value k+1 was obtained on the new list after adding 1 to k. We reach the conclusion that the new list doesnt have new values from the original one, that means that k+1 was alredy on the original list.

Thus, the original list contains both the values k (at least twice) and k+1 (at least once), therefore, the list contains at least two consectutive values.

8 0
3 years ago
Help,anyone can help me do quetion​
a_sh-v [17]

Answer:

B1: x = 51

C1: x = 73, y = 34

Step-by-step explanation:

B1:

By exterior angle theorem:

x° + 54° = 105°

x° = 105° - 54°

x° = 51°

x = 51

C1

x° = 73°(Alternate angles)

x = 73

y° = 34° (corresponding angles)

y = 34

6 0
2 years ago
Which expression is equivalent to-6(-2/3+2x)<br> A.-4-12x<br> B.- 4+2x<br> C. 4-12x<br> D. 4 + 12x
irakobra [83]

Answer:

4-12x

Step-by-step explanation:

-6(-2/3 + 2x)

Expand the bracket

12/3 - 12x

4 - 12x

7 0
3 years ago
Read 2 more answers
If a set of data has mean 60 and variance 9 then it's coefficient of variation is
loris [4]
Coefficient of variation is calculated by dividing the standard deviation by the mean multiplied by 100. Given a data set with mean equal to 60 and variance equal to 9, we can calculate the coefficient of variation by finding the value of the standard deviation which is the square root of the variance. so standard deviation is equal to square root of 9 which is 3. Then, the coefficient of variation is equal to 3/60*100 which is equal to 5%.
4 0
3 years ago
Read 2 more answers
Creation of reproductive cells (gametes) requires...​
creativ13 [48]

Answer: a sperm and an egg

Step-by-step explanation:

3 0
3 years ago
Other questions:
  • Did i get them right?
    14·1 answer
  • Plz help with this one
    7·1 answer
  • PLEASE HELP ASAP!! THANK YOU SO MUCH!
    11·2 answers
  • Find the gcf of the terms of the polynomial. 50x^5 4x^4
    15·1 answer
  • Solve the compound inequality 6b &lt; 36 or 2b + 12 &gt; 6.
    11·2 answers
  • Simplify the following expression: 3 *3 (−4) *2 2 *6 (−3) *5<br><br><br> *= subscript
    15·2 answers
  • DUE Tomorrow!!<br> is this answer correct?
    13·1 answer
  • Find the sum of the first 10 terms of the following series, to the nearest integer.
    9·1 answer
  • 6. Tax: If sales tax is figured at 7.25%, how
    9·2 answers
  • How many minutes long is the time passed<br> from 3:48 p.m. to 4:17 p.m.?
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!