Answer: Part A - C, Part B - 12 pieces
Step-by-step explanation:
<u>Part A:</u>
We know that 1/4 of Meredith's sub is bigger than 1/4 of Jim's sub, so we can set up an inequality.
Let Meredith's sub size = m; Jim's = j
Therefore, 1/4*m > 1/4*j
We can multiply both sides by 4:
m > j
Thus, the correct answer is C
<u>Part B:</u>
Since he had 1/4 of it left, that means he at 1 - 1/4 of it = 3/4 of his sub.
We can calculate the value of 3/4 * 16 = 12 pieces
Answer:
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Answer:
<em>Height of tomato plant is the </em><u><em>dependent variable</em></u>
<em>Presence of walnut leaves in the soil is the </em><u><em>independent variable</em></u>
<em>Tomato plants grown without walnut leaves is the </em><u><em>control</em></u>
<u><em></em></u>
Step-by-step explanation:
<em>An independent variable is the variable in an experiment that can be altered to test for a certain result. It is independent, or does not change with change in other factors in the experiment.</em> In this case, the presence or absence, or quantity of walnut available in the soil is the independent variable in the experiment.
<em>A dependent variable varies, and depends on the independent variable. It is what is measured in the experiment.</em> In this case, the height of the tomato plants is the dependent variable that depends on the presence, absence or quantity of walnut in the soil.
<em>A control in an experiment, is a replicate experiment, that is manipulated in order to be able to test a single variable at a time.</em> Controls are variables are held constant so as to minimize their effect on the system under study. In this case, some of the tomato plants are planted without walnut in the soil, to test the effect of the absence of the walnut in the soil.
3/(x-1) - 1/(x^2-1) = 5/(x-1)
Subtract 3/(x-1) from both sides
-1/(x^2-1) = 2/(x-1)
Factor x^2 - 1
-1/[(x-1)(x+1] = 2/(x-1)
Multiply by (x-1)(x+1) on both sides
-1 = 2 (x+1)
-1 = 2x + 2
Subtract 2 from both sides
-3 = 2x
Divide by 2 on both sides
-3/2 = x
