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Name the point with the given coordinates (2, 4).
A. H
B. J
C. G
D. K
There is not enough information available to answer this question. We need to know the coordinate plane or context in which the point (2,4) is being plotted.
⬆️ y
Thank you for the clarification.
Based on the coordinate plane with the y-axis pointing upwards, the point with the given coordinates (2, 4) would be located to the right of the y-axis and above the x-axis.
Therefore, the correct answer would be option B, J.
You start a search for a buried object by marking the center of a field as (0, 0), with coordinates giving distances in yards. Coordinates to the north or east are positive, and coordinates to the south or west are negative. You find nothing at (-10, 6), so you try a likely looking spot 3 yards to the east and 12 yards to the south of the first spot. What are the coordinates of the second spot?
A. (-7,-6)
B. (12,-6)
C. (-13,-9)
D. (5,-3)
Start by subtracting 3 from the x-coordinate of the first spot, since you're moving 3 yards to the east. Then, subtract 12 from the y-coordinate of the first spot, since you're moving 12 yards to the south.
(-10, 6) -> (-10 - 3, 6 - 12) -> (-13, -6)
Therefore, the coordinates of the second spot are (-13, -6), and the answer is A. (-7,-6) is not correct since it is not 3 yards to the east and 12 yards to the south of (-10,6). (12,-6) is not correct since it is only to the east and not to the south. (-13,-9) is not correct since it is 3 yards to the east and 15 yards to the south. Similarly, (5,-3) is also not correct.
Solve the equation. 5x + 2 - 62
A. 11.5
B. 12
C. 12.8
D. 36
There seems to be a typo in the equation provided as there is no equals sign, inequality or inequality symbol. It is not possible to solve the equation without a such symbol.
Please provide the complete equation or check if there is a mistake in the given expression.
Solve the equation. 5x + 2 = 62
A. 11.5
B. 12
C. 12.8
D. 36
To solve the equation 5x + 2 = 62, we need to isolate x on one side of the equation.
First, we subtract 2 from both sides to get:
5x + 2 - 2 = 62 - 2
Simplifying the left side gives:
5x = 60
Finally, we divide both sides by 5 to get:
x = 12
Therefore, the answer is B. 12.
Solve the equation.
x/4 + 1= -6
A. 2
B. -4
C. -22
D. -28
To solve for x:
First, we subtract 1 from both sides of the equation to get:
x/4 = -7
Then, we multiply both sides by 4:
4(x/4) = 4(-7)
Simplifying the left side gives:
x = -28
Therefore, the answer is D. -28.
Riverview Farms sold a combined total of 396 watermelons and cantaloupes. they sold 126 more watermelons than cantaloupes. Use n to represent the number of cantaloupes. Which equation could be used to solve for n? (Hint: First, think about the expression you would use to represent the number of watermelons, and then add the number of cantaloupes.)
A. n + 126 = 396
B. n - 126 = 396
C. 2n - 126 = 396
D. 2n + 126 = 396
Let's use the variable n to represent the number of cantaloupes sold.
We know that Riverview Farms sold 126 more watermelons than cantaloupes. Therefore, the number of watermelons sold would be n + 126.
The combined total of watermelons and cantaloupes sold is given as 396. Therefore, we can set up the following equation:
n + (n + 126) = 396
Simplifying this equation gives:
2n + 126 = 396
Therefore, the correct equation would be D. 2n + 126 = 396.
Suppose you are driving to visit a friend in another state. You are driving 55 miles per hour.
You must drive 440 miles total. If you have already driven 275 miles, how long will it take you to reach your destination? Use h to represent the number of hours it will take to reach your destination. Use the equation 55h + 275 - 440.
A. 30 hours
B. 2 hours
C. 3 hours
D. 1 hours
To use the equation 55h + 275 - 440 to solve for the number of hours h it will take to reach your destination, we need to solve for h.
We start with:
55h + 275 - 440 = 0
Simplifying the equation gives:
55h - 165 = 0
Then, we add 165 to both sides:
55h = 165
Finally, we divide both sides by 55:
h = 3
Therefore, it will take 3 hours to reach your destination. The answer is C. 3 hours.
Write an inequality for the situation.
Julia scored at least 20 points.
A. k _> 20
B. k < 20
C. k > 20
D. K_< 20
The correct symbol to represent "at least" is ≥ (greater than or equal to), so the inequality for the situation is:
k ≥ 20
Therefore, the answer is A. k ≥ 20.
Write an inequality for the following situation
No more than 8 books are in your bag.
A. x < 8
B. x _< 8
C. x _> 8
D. x > 8
The phrase "no more than" indicates that the quantity must be less than or equal to 8, so the inequality for the situation is:
x ≤ 8
Therefore, the correct answer is B. x ≤ 8.
Which inequality does the graph represent?
A. x _> - 2
B. x _> - 3
C. x > - 2
D. x > —3
Looking at the graph, we can see that there is an open circle at x = -3 and the line is shaded to the right of it. This means that the values of x that satisfy the inequality are greater than -3, but not including -3.
Therefore, the correct inequality is:
x > -3
Therefore, the option that represents this inequality is D. x > -3.
Which inequality does the graph represent?
A. x < -2
B. x > - 2
C. x _< - 2
D. x _> - 2
Looking at the graph, we can see that there is an open circle at x = -2 and the line is shaded to the left of it. This means that the values of x that satisfy the inequality are less than -2, but not including -2.
Therefore, the correct inequality is:
x < -2
Therefore, the option that represents this inequality is A. x < -2.
Solve the inequality.
y + 6 _ > 9
A. y_ > 3
B. y_< 3
C. y_<15
D. y_> 15
To solve the inequality y + 6 > 9, we need to isolate y on one side of the inequality.
First, we subtract 6 from both sides of the inequality:
y + 6 - 6 > 9 - 6
Simplifying the left side gives:
y > 3
Therefore, the answer is A. y > 3, which means that any value of y that is greater than 3 will make the inequality y + 6 > 9 true.
Write an inequality for the sentence. Then solve the inequality.
Thirteen less than a number is at most 9.
A. x—13_<;x_<22
B. x—13_>9; x_>22
C. x—9_>13;x_<22
D. x—9_<13; x_<22
We can write an inequality from the sentence as follows:
x - 13 ≤ 9
To solve for x, we can add 13 to both sides of the inequality:
x ≤ 9 + 13
Simplifying the right side gives:
x ≤ 22
Therefore, the inequality that represents the sentence is A. x - 13 ≤ x ≤ 22.
The maximum weight allowed per car on The Slippery Snake carnival ride is 189 pounds. Your friend weighs 70 pounds. To be able to ride in a car together, how much can you weigh? Write and solve the inequality.
A. x + 70 _< 189; at most 119 pounds
B. x + 189_ < 189; at most 70 pounds
C. x - 70 _< 189; at most 119 pounds
D. x + 70 _< 119; at most 189 pounds
To ride in the same car with your friend, the combined weight must be less than or equal to the maximum weight allowed, which is 189 pounds.
Let x represent your weight in pounds. Then, we can write the inequality:
x + 70 ≤ 189
To solve for x, we can subtract 70 from both sides of the inequality:
x ≤ 189 - 70
Simplifying the right side gives:
x ≤ 119
Therefore, the inequality that represents the situation is A. x + 70 ≤ 189; at most 119 pounds.
Write an inequality to represent the situation: The temperature stayed above -15°.
To represent the situation "The temperature stayed above -15°" as an inequality, we can use the greater than or equal to symbol (≥):
T ≥ -15
where T represents the temperature.
Therefore, the inequality that represents the situation is T ≥ -15.