Which of the following shows how to solve the linear inequality with a letter

coefficient Hy < 7, where H is a number greater than 0? (1 point)
Oy <7H

y < 7/H

Oy<7

• Hy < 7

11 answers

To solve the linear inequality \( Hy < 7 \) for \( y \), where \( H \) is a number greater than 0, you can isolate \( y \) by dividing both sides of the inequality by \( H \). Here are the steps:

  1. Start with the inequality: \( Hy < 7 \).
  2. Divide both sides by \( H \) (since \( H > 0 \), the direction of the inequality does not change): \[ y < \frac{7}{H} \]

Thus, the correct way to represent the solution is:

y < 7/H

So the answer is: y < 7/H.

Which term in the following inequality is a letter coefficient? Bx + 72 < 12
(1 point)
O x
O B
• Вх
072

In the inequality \( Bx + 72 < 12 \), the term that is a letter coefficient is \( B \).

A letter coefficient refers to a coefficient (a number multiplying a variable) that is represented by a letter. In this case, \( B \) is the coefficient of the variable \( x \).

Therefore, the correct answer is: B.

Which of the following most accurately describes the difference between climate and weather? (1 point)
• Climate refers to long-term conditions, weather refers to daily conditions
• Climate refers to severe weather events, weather refers to precipitation
• Climate refers to landforms, weather refers to average conditions over time
• Climate and weather refer to roughly the same thing

The most accurate description of the difference between climate and weather is:

Climate refers to long-term conditions, weather refers to daily conditions.

This statement emphasizes that climate describes average atmospheric conditions over a longer period (typically 30 years or more), while weather refers to the short-term conditions in the atmosphere at any given time.

Which of the following is an impact that the temperate climate has had on
Georgia's development? (1 point)
• Diminished the ability to grow crops
• Encouraged residents to move to other locations
• Attracted military bases to be installed across the state
• Decreased tourism and overall population

The impact that the temperate climate has had on Georgia's development is best captured by the statement:

Attracted military bases to be installed across the state.

Georgia's temperate climate, along with its geographical location and other factors, has been conducive to military training and operations, leading to the establishment of several military bases in the state. The other options either inaccurately represent the effects of a temperate climate on Georgia or do not align with the region's historical development.

What impact did climate have on the settlement of Georgia? (1 point)
• Few settlers stayed in Georgia due to frequent droughts
• Georgia was believed to have a good climate for growing valuable crops
• The lack of rainfall prevents crops from growing across the state
• Harsh winters caused many settlers to move to other areas

The impact that climate had on the settlement of Georgia is best represented by the statement:

Georgia was believed to have a good climate for growing valuable crops.

The moderate climate, along with fertile soil, made Georgia an attractive location for agriculture, particularly for crops like cotton, rice, and tobacco, which encouraged settlement and economic development in the region. The other options misrepresent the climate conditions in Georgia.

Which has an effect on Georgia's climate? (1 point)
• Geographic location
• Discovery of coal in northwest Georgia
• Abundance of minerals
• Types of crops grown

The factor that has an effect on Georgia's climate is:

Geographic location.

Georgia's climate is influenced by its geographical position in the southeastern United States, which affects temperature, precipitation patterns, and seasonal variations. The other options, such as the discovery of coal, abundance of minerals, and types of crops grown, do not directly affect the overall climate of the state.