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Alexxandr [17]
2 years ago
9

Allan is ordering a set of rational numbers that includes positive values, negative values , fractions , and decimal numbers . H

ow can he order them ?
Mathematics
2 answers:
anastassius [24]2 years ago
8 0

Answer:

Allan can order them from least to greatest.

Step-by-step explanation:

Romashka [77]2 years ago
5 0

Answer:

First, Allan should write the fractions as decimals by dividing the numerator by the denominator. Then he can plot the points on the number line. Reading the plotted points from left to right gives the points in order, from least to greatest.

Step-by-step explanation:

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A and b are natural numbers. The diameter of cell a is 2.3 , and the diameter of cell b is 2.3 .
Pani-rosa [81]

After clarification we see the respective diameters are

A = 2.3 \times 10^{-a}

B = 2.3 \times 10^{-b}

We're asked about the ratio

A:B =  2.3 \times 10^{-a} :  2.3 \times 10^{-b} = 10^{-a} : 10^{-b} = 10^b : 10^a = 10^{b-a} : 1

Now we can go through the choices.

A. If a = 4 and b = 6, then cell a is 100 times greater than cell b.

A:B=10^{6-4}:1 = 100:1

It would be more proper to say the diameter of cell A is 100 times the diameter of cell B, but yes, this is TRUE.

B. If a = 4 and b = 6, then cell b is 100 times greater than cell a.

FALSE. 10 to the minus 4 is 100 times bigger than 10 to the minus 6, so a is bigger.

C. If a = 4 and b = 6, then cell a is 2 times greater than cell b.

FALSE. We already calculated its 100 times bigger.

D. If a = 4 and b = 6, then cell b is 2 times greater than cell a.

FALSE.


8 0
2 years ago
Read 2 more answers
Explain how one whole, one tenth, and one hundredth are related
Oduvanchick [21]
One whole is the whole number. where as one tenth is the first number in the decimal, and one hundredth is the second number in the decimal
8 0
2 years ago
At summer camp the ratio of boys to girls was 7:2 If there were 21 boys how many girls were there?
Alenkinab [10]
Ratio:\\7:2\\\\
7x-number\ of\ boys\\2x-number\ of\ boys\\\\
7x=21\ \ \ |:7\\
x=3\\\\
2x=2*3=6\\
Number\ of\ girls\ is\ equal\ to\ 6.
3 0
2 years ago
What value of x is in the solution set of 2(3x – 1) ≥ 4x – 6?
Angelina_Jolie [31]

For this case we must find the value of the variable "x" of the following expression:

2 (3x-1) \geq4x-6

We apply distributive property to the terms within parentheses: 6x-2 \geq4x-6

We subtract 4x on both sides:

6x-4x-2 \geq-6\\2x-2 \geq-6

We add 2 to both sides:

2x \geq-6 + 2\\2x \geq-4

We divide between 2 on both sides:

x \geq \frac {-4} {2}\\x \geq-2

Answer:

x \geq-2

5 0
2 years ago
Read 2 more answers
If a baseball player hits a baseball from 4 feet off the ground with an initial velocity of 64 feet per second, how long will it
topjm [15]

Answer:

0.64 seconds

Step-by-step explanation:

In the equation provided:

h = −16t2 + 4t + 4

h is the height of the ball and t is time. Since we want to find the time when the ball touches the floor, then height is 0. This leaves us with the equation

-16t^{2} + 4t + 4 = 0

This is a quadratic equation can be solved with the following formula:

x= \frac{-b+-\sqrt{b^{2}-4ac } }{2a}

where a=-16

b=4

c=4

Solving for t we will find two different results:

t1=\frac{-4-\sqrt{272} }{2(-16)} =0.125+0.125\sqrt{17} =0.64039t2=\frac{-4+\sqrt{272} }{2(-16)} =0.125-0.125\sqrt{17} =-0.39039

Since time can't be negative, we discard t2 and choose t1.

Since it is required to answer in the nearest hundredth, we round the result to t=0.64 seconds.

5 0
2 years ago
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