Use the additive inverse to find −12 2/3−(−8 5/6). Write the answer as a mixed number.(1 point)
To find −12 2/3−(−8 5/6) using the additive inverse, we can rewrite the subtraction as an addition by changing the sign of the second term:
-12 2/3 + (8 5/6)
Next, we need to find a common denominator for the fractions, which is 6. We can then convert both fractions to have the same denominator:
-12 * 6/6 + 2/3 + 8 * 6/6 + 5/6
Simplifying, we get:
-72/6 + 2/3 + 48/6 + 5/6
Now, we can combine the fractions:
- (72 + 48)/6 + (2 + 5)/6
- 120/6 + 7/6
Now, we have a common denominator, so we can combine the fractions by adding the numerators:
- (120 + 7)/6
- 127/6
Since the numerator is greater than the denominator, we can divide the numerator by the denominator to get the whole number part and the remainder:
127 divided by 6 is 21 with a remainder of 1.
Therefore, the mixed number is 21 1/6.
What is the absolute value of subtracting these rational numbers on a vertical number line diagram? −22 − 1 1/2
(1 point)
To find the absolute value of subtracting the rational numbers -22 and -1 1/2, we can first simplify the calculation by converting the mixed number -1 1/2 to an improper fraction.
-1 1/2 = -3/2
Now we can subtract the numbers:
-22 - (-3/2)
= -22 + 3/2
To simplify this calculation, we need a common denominator. The common denominator here is 2, so we convert -22 to have a denominator of 2:
-22 = -22 * 2/2
= -44/2
Now we can subtract the two fractions:
-44/2 + 3/2
Since the denominators are the same, we can add the numerators:
= (-44 + 3)/2
= -41/2
The absolute value of -41/2 is | -41/2 |, which is the distance between -41/2 and 0 on a number line. Since the numerator is negative, the fraction is negative, so the absolute value is:
| -41/2 | = 41/2
Therefore, the absolute value of subtracting -22 and -1 1/2 is 41/2.
Of these things in an environment, which one is a living thing?(1 point)
Responses
water (river)
water (river)
air (wind)
air (wind)
fungus (mushroom)
fungus (mushroom)
soil (clay)
The living thing in this list is fungus (mushroom).
What made the discovery of cells possible?(1 point)
Responses
the study of viruses and bacteria
the study of viruses and bacteria
the use of magnifying glasses
the use of magnifying glasses
the observation of cells by Hooke and Pasteur
the observation of cells by Hooke and Pasteur
the invention of the microscope
The invention of the microscope made the discovery of cells possible.
Which of the following best describes cell theory?(1 point)
Responses
cell theory describes the three criteria for determining living things.
cell theory describes the three criteria for determining living things.
cell theory describes the process of how cells come from preexisting cells.
cell theory describes the process of how cells come from preexisting cells.
cell theory describes the difference between multicellular and unicellular organisms.
cell theory describes the difference between multicellular and unicellular organisms.
cell theory describes the tiny structures that are found within cells.
The following best describes cell theory:
cell theory describes the process of how cells come from preexisting cells.
Amoebas are unicellular. The single cell splits in half to form two new cells. A student claims amoebas are alive. Is the student correct?(1 point)
Responses
The student is correct; amoebas are probably alive because they have reproductive capabilities and create offspring through reproduction.
The student is correct; amoebas are probably alive because they have reproductive capabilities and create offspring through reproduction.
The student is not correct; amoebas are not alive because they are only made of one cell.
The student is not correct; amoebas are not alive because they are only made of one cell.
The student is correct; amoebas are alive because they become multicellular.
The student is correct; amoebas are alive because they become multicellular.
The student is not correct; amoebas are not alive because two different amoebas are not contributing together to make a new offspring.