Which values of k are solutions to the inequality? k>12 Select each correct answer.
A. k = 11.9
B. k = 12.1
C. k = 13.0
D. k = 19.9
E. k = 10.2
k > 12
A. k = 11.9 → 11.9 > 12 FALSE
B. k = 12.1 → 12.1 > 12 TRUE
C. k = 13.0 → 13.0 > 12 TRUE
D. k = 19.9 → 19.9 > 12 TRUE
E. k = 10.2 → 10.2 > 12 FALSE
Answer:
Option B , C and D are correct.
The values of k are 12.1 , 13.0 and 19.9
Step-by-step explanation:
Given the inequality: [tex]k > 12[/tex].
The boundary point is not included when the inequality is less than '<' or greater than '>', and is represented by an open circle on the boundary point.
Also, the arrow goes to the right when the inequality symbol is greater than (>) or greater than equal [tex]\geq[/tex].
since, the inequality [tex]k > 12[/tex] as shown in figure below;
The solution of k which satisfy k > 12 are;
12.1 , 13.0 and 19.9 .
Please help me!
4. Stephen wrote the problem 46.8 divided by 0.5. What is the correct quotient?
To find the quotient of 46.8 divided by 0.5, we use long division. The correct quotient is 136.
Explanation:To solve the division problem 46.8 divided by 0.5, we can use long division. Here are the steps:
Divide 46.8 by 0.5 to get the quotient. Since 0.5 is smaller than 46.8, we start dividing.We divide 4 by 0.5 to get 8. Since 8 is smaller than 46, we bring down the next digit, which is 6.We divide 46 by 0.5 to get 92. Since 92 is smaller than 68, we bring down the next digit, which is 8.We divide 68 by 0.5 to get 136.The correct quotient is 136.
Final answer:
The correct quotient when dividing 46.8 by 0.5 is 93.6, since dividing by 0.5 is equivalent to multiplying by the reciprocal, which is 2.
Explanation:
The student's question is about finding the result of the division 46.8 divided by 0.5. To find the correct quotient, follow these steps:
Understand that dividing by 0.5 is the same as multiplying by 2 because 0.5 is equivalent to 1/2, and the reciprocal of 1/2 is 2.Multiply 46.8 by 2 to find the quotient.The result is 93.6.Therefore, the correct quotient when 46.8 is divided by 0.5 is 93.6. Recognizing the reciprocal relationship, dividing by 0.5 is equivalent to multiplying by 2. By implementing this understanding and multiplying 46.8 by 2, the correct quotient is determined to be 93.6. This approach clarifies the process involved in dividing by fractions and offers a clear solution to the student's question.
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The equation that represents the canned goods order is 24x + 64y = 384, where x = number of minutes for producing fruit cans and y = number of minutes for producing vegetable cans. What is the meaning of the y-intercept?
Answer:
Sample Answer: The y-intercept, at the point (0, 6), indicates the choice to produce vegetables for 6 minutes. In 6 minutes, producing 64 cans of vegetables each minute, all 384 cans for the order will be completed. The 0 for the x-value represents that no time is spent producing cans of fruit.
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