Evaluate. 103 • [12 ÷ (10 – 4 • 2)] + 3
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PEMDAS. We need to take care of the parenthesis, first.
103 • [12 ÷ (10 – 4 • 2)] + 3
Inside the parenthesis, we must do the other parenthesis inside and follow PEMDAS in there.
103 • [12 ÷ (10 – 8)] + 3
103 • [12 ÷ (2)] + 3
103 • [12 ÷ 2] + 3
103 • [6] + 3
103 • 6 + 3
Now, we can do multiplication.
103 • 6 + 3
618 + 3
621
Your final answer is 621.
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Equation 2: 4m = 4 + 4n
Step 1: −4(m) = −4(8 + 2n) [Equation 1 is multiplied by −4.]
4m = 4 + 4n [Equation 2]
Step 2: −4m = −32 − 8n [Equation 1 in Step 1 is simplified.]
4m = 4 + 4n [Equation 2]
Step 3: −4m + 4m = −32 − 8n + 4n [Equations in Step 2 are added.]
Step 4: 0 = −32 − 4n
Step 5: n = −8
In which step did the student first make an error?
Step 1
Step 2
Step 3
Step 4
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(i think its 0.142)
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y ≤ -x + 2
y > -4
(−3, 7)
(0, −2)
(4, 3)
(1, −4)
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Answer:
0, -2
Step-by-step explanation:
The system of inequalities given is:
x ≥ -3
y ≤ -x + 2
y > -4
To find which point represents a solution to this system, we need to check each option and see if it satisfies all three inequalities.
Let's start by checking the first option, (-3, 7):
For x ≥ -3: Since x = -3 in this case, it satisfies the first inequality.
For y ≤ -x + 2: Substituting x = -3 and y = 7, we get 7 ≤ -(-3) + 2, which simplifies to 7 ≤ 5. This inequality is not true, so (-3, 7) is not a solution.
Now let's check the second option, (0, -2):
For x ≥ -3: Since x = 0 in this case, it satisfies the first inequality.
For y ≤ -x + 2: Substituting x = 0 and y = -2, we get -2 ≤ -(0) + 2, which simplifies to -2 ≤ 2. This inequality is true, so (0, -2) satisfies the second inequality.
For y > -4: Substituting y = -2, we get -2 > -4. This inequality is also true, so (0, -2) satisfies all three inequalities.
Therefore, the point (0, -2) represents a solution to the given system of inequalities.
8, 12, 18, 27
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12 ÷ 8 = 1¹/₂
18 ÷ 12 = 1¹/₂
27 ÷ 18 = 1¹/₂
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The expression which is irrational is √10. Also, 8/5 is rational. √4 is rational. √64 is rational.
What are rational numbers and irrational numbers?
Rational numbers are numbers that can be written in the form of where a and b are integers.
Example: 1/2, 3.5 (which is writable as 7/5), etc.
Irrational numbers are those real numbers that are not rational numbers.
Know that all natural numbers are integers, and all integers are rational numbers. That means natural numbers are not irrational.
8/5 is rational. It is expressed in the form of .
√4 = 2 = 2/1 . This is rational because it is expressed as the ratio of two integers.
√64 = 8. This is rational because it is expressed as the ratio of two integers.
√10 = 3.16227..... The decimal part does not end and it is irrational because it can not be expressed in the form of .
Therefore √10 is irrational.
Learn more about rational number here;
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√4 = 2 = 2/1 . This is rational because it expressed as ratio of two integers.
√64 = 8. This is rational because it expressed as ratio of two integers.
√10 = 3.16227..... The decimal part does not end and it is irrational because it can not be expressed as ratio of two integers.
Therefore √10 is irrational.
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$580000 x .075 = $43,500 commission