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The value of a variable \( d \) is more than 60 . Which inequality describes \( d \) ? A) \( d<60 \) B) \( d \geq 60 \) C) \( d>60 \) D) \( d \leq 60 \) B) \( d \geq 60 \) C) \( d>60 \) D) \( d \leq 60 \)

Ask by Sherman Wagner. in the United States
Jan 23,2025

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The correct inequality is \( d > 60 \).

Solución

To describe the condition that the value of the variable \( d \) is more than 60, we need to express this mathematically using an inequality. 1. The phrase "more than 60" indicates that \( d \) must be greater than 60. 2. Therefore, the correct inequality that describes \( d \) is: \[ d > 60 \] Now, let's evaluate the options provided: A) \( d < 60 \) - This means \( d \) is less than 60, which is incorrect. B) \( d \geq 60 \) - This means \( d \) is greater than or equal to 60, which includes 60 itself, so this is also incorrect. C) \( d > 60 \) - This correctly states that \( d \) is more than 60. D) \( d \leq 60 \) - This means \( d \) is less than or equal to 60, which is incorrect. Thus, the correct answer is: **C) \( d > 60 \)**.

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Mind Expander

To express that \( d \) is more than 60, we need to use the inequality that shows \( d \) has to be greater than 60. Thus, the correct choice here is \( C) \, d > 60 \). This means any value of \( d \) must be more than 60, like 61, 75, or even 100! When tackling inequalities, a common mistake is misreading "more than" as "greater than or equal to." This trip-up can lead to selecting options like \( B) \, d \geq 60 \), which includes 60 itself. Always remember to pay attention to those tiny words for exact meanings!

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Point-Slope Form For each row, you and your partner will answer the question shown. Begin by reading each scenario. Using point-slope form, write the equation of the line that describes this scenario. Then, rewrite the equation in slope-intercept form. You and your partner should get the same answer for slope-intercept form. If you disagree, work together to reach an agreement. Partner A 1. In order to enter the state fair, there is an admission cost. Each game is \( \$ 3 \). Steven went to the state fair, played 4 games and spent a total of \( \$ 20 \) on admission and games. 2. At a chili cook off, people pay \( \$ 0.50 \) for each sample bowl of chili. The total cost was \( \$ 4.50 \) for 3 bowls of chili. 3. CJ loves Girl Scout cookies. He eats 3 cookies per hour. After 5 hours, there are 24 cookies left in the box. 4. An oil tank is being filled at a constant rate of 0.2 gallons per minute. After 10 minutes, there are 5 gallons of oil in the tank. 5. The total cost of renting a vacation home includes a deposit and a daily rental fee of \( \$ 125 \). A family rents a vacation home for 5 days and pays \( \$ 700 \). Partner B 1. In order to enter the state fair, there is an admission cost. Each game is \( \$ 3 \). Steven went to the state fair, played 10 games and spent a total of \( \$ 38 \) on admission and games. 2. At a chili cook off, people pay \( \$ 0.50 \) for each sample bowl of chili. The total cost was \( \$ 6.50 \) for 7 bowls of chili. 3. CJ loves Girl Scout cookies. He eats 3 cookies per hour. After 3 hours, there are 30 cookies left in the box. 4. An oil tank is being filled at a constant rate of 0.2 gallons per minute. After 5 minutes, there are 4 gallons of oil in the tank. 5. The total cost of renting a vacation home includes a deposit and a daily rental fee of \( \$ 125 \). A family rents a vacation home for 3 days and pays \( \$ 450 \). Talk About it! Return to Examples 1-5. Identify the \( y \)-intercept in each scenario. Explain the meaning of the \( y \)-intercept in terms of the context.
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