2x + 5y = -10 rewrite the equation in slope intercept form then identify the slope and the y intercept of the line
Answer: \( y = -\frac{2}{5}x – 2 \) Slope: \( -\frac{2}{5} \) Y-intercept: \( -2 \) Explanation: To rewrite the equation \( 2x + 5y = -10 \) in slope-intercept form \( y = mx + b \), we need to solve for \( y \). Steps: Subtract \( 2x \) from both sides: \( […]
What is 4 tablespoons equal to in cups?
Answer: \( \frac{1}{4} \) cup Explanation: There are 16 tablespoons in 1 cup. To convert tablespoons to cups, divide the number of tablespoons by 16. Thus, \( 4 \div 16 = \frac{1}{4} \) cup.
100 days make how many months?
Answer: Approximately 3.33 months. Explanation: To convert days into months, we can use the average number of days in a month, which is about 30.44 days. Therefore, to find the number of months in 100 days, we divide 100 by 30.44. Steps: Calculate the number of months: \( \frac{100 \text{ days}}{30.44 \text{ days/month}} \approx 3.29 […]
What is one specific example of the use of legal pressure by the civil rights movement of the 1960s?
Answer: One specific example of the use of legal pressure by the civil rights movement of the 1960s is the case of Brown v. Board of Education (1954). Explanation: This landmark Supreme Court case challenged the legality of racial segregation in public schools. The NAACP (National Association for the Advancement of Colored People) played a […]
How much is 71 inches in feet?
Answer: \( 5.9167 \) feet (or approximately \( 5 \) feet \( 11 \) inches) Explanation: To convert inches to feet, divide the number of inches by \( 12 \) (since there are \( 12 \) inches in a foot). Steps: \( 71 \div 12 = 5.9167 \) feet The whole number part is \( […]
How many 8 oz glasses of water are in 3 liters?
Answer: 12.68 glasses Explanation: To find out how many 8 oz glasses are in 3 liters, first convert liters to ounces. There are approximately 33.814 ounces in 1 liter. Therefore, 3 liters is: \[ 3 \text{ liters} \times 33.814 \text{ oz/liter} \approx 101.44 \text{ oz} \] Now, divide the total ounces by the size of […]
Convert 5/16 inch to millimeters. What is 5/16 inch in millimeters?
Answer: \( 5/16 \) inch is approximately \( 7.9375 \) mm. Explanation: To convert inches to millimeters, multiply the inch measurement by \( 25.4 \) (since 1 inch = 25.4 mm). Steps: Calculate \( 5/16 \) in decimal form: \( 5 \div 16 = 0.3125 \). Multiply by \( 25.4 \): \( 0.3125 \times 25.4 […]
What is the conversion of 30 g to oz?
Answer: 1.06 oz Explanation: To convert grams to ounces, you can use the conversion factor \( 1 \text{ oz} = 28.35 \text{ g} \). Therefore, to convert 30 grams to ounces, you divide by 28.35. Steps: Use the conversion factor: \( \text{oz} = \frac{\text{grams}}{28.35} \) Substitute the value: \( \text{oz} = \frac{30}{28.35} \) Calculate: \( […]
How much does a 135 lbs patient weigh in kilograms?
Answer: 61.235 kg Explanation: To convert pounds to kilograms, you can use the conversion factor where 1 pound is approximately 0.453592 kilograms. Therefore, to convert 135 pounds to kilograms, you multiply by this factor: \[ 135 \, \text{lbs} \times 0.453592 \, \text{kg/lb} \approx 61.235 \, \text{kg} \]
How many ounces are in 1/2 cup?
Answer: 4 ounces Explanation: There are 8 ounces in 1 cup, so to find out how many ounces are in 1/2 cup, you divide 8 by 2, which equals 4 ounces.