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aev [14]
2 years ago
15

List five rational numbers between -4/5 and -2/3 . Please tell by step by step explaintion ​

Mathematics
1 answer:
attashe74 [19]2 years ago
7 0

9514 1404 393

Answer:

  -0.67, -0.68, -0.69, -0.70, -0.71

Step-by-step explanation:

There are an infinite number of ways to do this.

Perhaps the simplest is to do it in decimal.

 -4/5 = -0.8

  -2/3 = -0.666... (repeating 6)

Any negative decimal number between these values will do. For example, ...

  -0.67, -0.68, -0.69, -0.70, -0.71

__

If you want to choose fractions that are evenly spaced between the given values, you can find their difference, then divide that difference into 6 parts (1 more than the number of numbers you need).

  -2/3 -(-4/5) = 4/5 -2/3 = (12 -10)/(5·3) = 2/15 . . . . length of interval

  1/6 of this difference is ...

     (1/6)(2/15) = 2/90 = 1/45

The interval end point nearest 0 is ...

  -2/3 = -30/45

so the 5 intermediate values will be that value with -1/45 repeatedly added:

  -31/45, -32/45, -33/45 = -11/15, -34/45, -35/45 = -7/9

_____

<em>Additional comment</em>

The fractions we came up with could be referred to as "5 arithmetic means between -2/3 and -4/5." There is nothing in the problem statement suggesting the values need to be evenly spaced.

When doing this in decimal, you can obtain a new value simply by adding more digits to the decimal fraction:

  -0.68, -0.685, -0.6853, -0.68531, -0.799

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denis-greek [22]
I found the answer to this by first dividing 34 by 4 to get 8.5. We already know what 4 divided by 4 is. For every one pound of almonds, it costs $8.50. Since we know that we need to find out how much it costs for 5 pounds of almonds, we simply multiply 8.5 by 5 to get 42.5. It costs $42.50 to buy 5 pounds of almonds.


7 0
3 years ago
If there are 26 students in each third-grade class and 3 third-grade classes in the school, how many students will attend an ass
ddd [48]

Answer:

74

Step-by-step explanation:

26 • 3 = 78 - 4 = 74

8 0
3 years ago
A sample of 100 college students is selected from all students registered at a certain college, and it turns out that 38 of them
nasty-shy [4]

Answer:

a.   False

b. True

Step-by-step explanation:

Given that:

The sample size of the college student n = 100

The population of student that participated p = 38

We are to identify from the following statement if it is true or false.

From part a;

It is false since the random samples not indicate the population perfectly. As such we can't conclude that the proportion of students at this college who participate in intramural sports is 0.38.

The statement in part b is true because the sampling variation, random samples also do not indicate the population perfectly but it is close to be 0.38. Thus, it is suitable to conclude that the proportion of students at this college who participate in intramural sports is likely to be close to 0.38, but not equal to 0.38.

7 0
3 years ago
Ruby uses 1/4 yard of ribbon to make 2 bows.Which expression shows the length of ribbon in each bow?
allochka39001 [22]
What you can do in this case is a rule of three to determine the length of each bow.
 We have then:
 1/4 ---> 2
 x ------> 1
 Clearing x we have:
 x = (1/2) * (1/4)
 x = 1/8
 Answer:
 the length of ribbon in each bow is
 x = 1/8
 Equivalently:
 x = (1/4) / 2
 Option 3
3 0
3 years ago
22broccy-here you go g-<br> what is the sum of negative two squared plus one?
yaroslaw [1]

Answer:

The sum is equal to 5

Step-by-step explanation:

we know that

The algebraic expression of the phrase "  the sum of negative two squared plus one" is equal to

(-2)^{2}+1\\=4+1\\=5

8 0
3 years ago
Read 2 more answers
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