Question Move the dots along the number line to determine the unknown value in the given number sentence. 1 pt (NS.1b) - 6 - _____ = 8 (1 point) Drop target 1

Answer 1

To solve the equation \( 6 - x = 8 \), you can follow these steps:

1. Rearrange the equation to isolate \( x \): \[ 6 - x = 8 \] Subtract 6 from both sides: \[ -x = 8 - 6 \] \[ -x = 2 \]

2. Multiply both sides by -1 to solve for \( x \): \[ x = -2 \]

Thus, the unknown value is \( -2 \).

Answer 2

A number game is played with a number cube and a number line. When it’s your turn, you roll the number cube twice. The first roll tells you how many units to move to the left, from the starting point. The second roll tells you how many units to move to the right from where you stopped after your first roll. Your starting point is -5. On your first roll you get a 4. Your second roll lands on 9. Describe the movement along the number line that represents this situation. 6 pts (NS.1a) (6 points) Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse. a. Start at Response area on the number line, then move 4 spaces to the Response area. If your second roll lands on 9, you will end up at Response area on the number line. (3 pts) b. Complete the number sentence that represents starting at -5, rolling 4 on the first roll and 9 on the second roll: -5 + Response area + Response area = Response area. (3 pts)

Answer 3

Let's break this down step by step to complete the responses for the number game.

a. Movement along the number line

1. Start at -5 (starting point on the number line).

2. Move 4 spaces to the left:

   • Starting at -5 and moving left 4 spaces: \[-5 - 4 = -9\]
   • So, you stop at -9.

3. Move 9 spaces to the right:

   • Starting at -9 and moving right 9 spaces: \[-9 + 9 = 0\]
   • So, you end up at 0.

Summary for part a:

• Start at -5, then move 4 spaces to the -9. If your second roll lands on 9, you will end up at 0 on the number line.

b. Number sentence completion

To express the movement mathematically based on the scenario described:

1. Starting point: -5
2. First roll: Move 4 spaces to the left (which is denoted as -4).
3. Second roll: Move 9 spaces to the right (which is denoted as +9).

Putting that together in the number sentence: \[ -5 + (-4) + 9 = 0 \]

Summary for part b:

• The completed number sentence is: -5 + (-4) + 9 = 0.

Final Responses:

a.

• Start at -5, then move 4 spaces to the -9. If your second roll lands on 9, you will end up at 0 on the number line.

b.

• Completed number sentence: -5 + (-4) + 9 = 0.

Answer 4

Question Which scenario does not describe a situation in which opposite quantities combine to make 0? 1 pt (NS.1a, b, c)(1 point) Responses Two kids weighing 65 ½ and 70 ¾ pounds sit on a seesaw opposite an adult who weighs 136.25 pounds. Two kids weighing 65 ½ and 70 ¾ pounds sit on a seesaw opposite an adult who weighs 136.25 pounds. The heat gained boiling water on the stove is equal to the heat lost after the water cools back down to room temperature. The heat gained boiling water on the stove is equal to the heat lost after the water cools back down to room temperature. Someone deposits a $649 paycheck and then makes 4 withdrawals: $256.03, $75.96, $107.90, and $209.11 and from the same account. Someone deposits a $649 paycheck and then makes 4 withdrawals: $256.03, $75.96, $107.90, and $209.11 and from the same account. A soccer game ends in a tie because both teams scored 3 goals, but in opposite nets. A soccer game ends in a tie because both teams scored 3 goals, but in opposite nets. In a pulley system, two weights hang on either side of the pulley, pulling the forces in opposite directions. A 195 1/2 lb firefighter uses counter weights of 50, 65 1/2 and 75 lbs to lower his weight to the first floor, instead of using the fire pole. In a pulley system, two weights hang on either side of the pulley, pulling the forces in opposite directions . A 195 1/2 lb firefighter uses counter weights of 50, 65 1/2 and 75 lbs to lower his weight to the first floor, instead of using the fire pole. One team pulls a rope with 92 newtons of force, while the other team pulls with an equal force in the opposite direction, during a game of tug-of-war.

Answer 5

To determine which scenario does not describe a situation in which opposite quantities combine to make 0, we can analyze each option provided:

1. Two kids weighing 65 ½ and 70 ¾ pounds sit on a seesaw opposite an adult who weighs 136.25 pounds.

   • This situation does not balance because \( 65.5 + 70.75 = 136.25 \), so they balance each other, summing to 0 force on the seesaw. This is an example of opposite quantities combining to make 0.

2. The heat gained boiling water on the stove is equal to the heat lost after the water cools back down to room temperature.

   • This situation describes an exchange of heat where the heat gained equals the heat lost, effectively summing to 0. This is also an example of opposite quantities combining to make 0.

3. Someone deposits a $649 paycheck and then makes 4 withdrawals: $256.03, $75.96, $107.90, and $209.11 from the same account.

   • The sum of the withdrawals can be calculated: \[ 256.03 + 75.96 + 107.90 + 209.11 = 648.00 \] The balance after deposits and withdrawals does not create a situation where they sum to zero (since \( 649 - 648 = 1\)). This scenario does not describe opposite quantities combining to make 0.

4. A soccer game ends in a tie because both teams scored 3 goals, but in opposite nets.

   • The goals scored effectively cancel each other out, making the score equal (3 for each team). This is a situation of opposite quantities combining to make 0 in the sense of score difference.

5. In a pulley system, two weights hang on either side of the pulley, pulling the forces in opposite directions. A 195 ½ lb firefighter uses counterweights of 50, 65 ½, and 75 lbs to lower his weight to the first floor, instead of using the fire pole.

   • If the forces from the counterweights equal the firefighter's weight, then they also combine to make 0 effect on the system. This is an example of opposite quantities coming together.

6. One team pulls a rope with 92 newtons of force, while the other team pulls with an equal force in the opposite direction during a game of tug-of-war.

   • This situation represents two forces acting in opposite directions that balance out, resulting in a net force of 0.

Conclusion:

The scenario that does not describe a situation in which opposite quantities combine to make 0 is:

Someone deposits a $649 paycheck and then makes 4 withdrawals: $256.03, $75.96, $107.90, and $209.11 from the same account.

Answer 6

Question The table gives the highest and lowest recorded temperatures for six cities. Which city recorded a difference between its highest and lowest temperatures of more than or equal to 115°F? Select all that apply. 2 pts (NS.3) (2 points) Responses Barrow Barrow Budapest Budapest Prague Prague Tehran Tehran Death Valley Death Valley London London

Answer 7

To determine which city recorded a difference between its highest and lowest temperatures of more than or equal to 115°F, we need to calculate the temperature range for each city by subtracting the lowest temperature from the highest temperature.

Here’s a quick method to outline how to do this, but since you didn't provide the specific temperatures for each city, I’ll assume hypothetical values to demonstrate the calculation process. You can apply this process to find out the appropriate responses based on the actual temperatures.

Example Calculation:

1. Barrow:

   • Highest: 75°F, Lowest: -50°F
   • Difference: \( 75 - (-50) = 75 + 50 = 125°F \) (more than 115°F)

2. Budapest:

   • Highest: 100°F, Lowest: 20°F
   • Difference: \( 100 - 20 = 80°F \) (less than 115°F)

3. Prague:

   • Highest: 95°F, Lowest: -10°F
   • Difference: \( 95 - (-10) = 95 + 10 = 105°F \) (less than 115°F)

4. Tehran:

   • Highest: 120°F, Lowest: 10°F
   • Difference: \( 120 - 10 = 110°F \) (less than 115°F)

5. Death Valley:

   • Highest: 134°F, Lowest: 0°F
   • Difference: \( 134 - 0 = 134°F \) (more than 115°F)

6. London:

   • Highest: 90°F, Lowest: 30°F
   • Difference: \( 90 - 30 = 60°F \) (less than 115°F)

Final Results Based on Hypothetical Data:

From the above example, the cities with a temperature difference of more than or equal to 115°F are:

• Barrow
• Death Valley

Please apply the same method with the actual temperature data for the cities listed to determine the correct answers for the question. Select the appropriate cities based on your specific findings!

Answer 8

Lily is planning a movie night with her friends and picks up snacks and drinks for everyone. Her friends ask her to keep it under $10 per person, since they will be paying her back. She considers the following options: a bag of popcorn ($4.25), a box of candy ($1.95) and a can of pop ($2.75) for each person. If she buys one of each item, for every friend, will she stay under the $10 per person budget? How do you know? How much under or over $10 will she pay, per person? Show your calculations. 3 pts (NS.1d; NS.3) (3 points) Lily will spend $ on each friend, which is (over or under) her budget? How much over or under $10 will she pay per person? $

Answer 9

To determine if Lily will stay under the $10 per person budget while buying snacks and drinks for her friends, we first need to calculate the total cost of one of each item (popcorn, candy, and soda) and then see how this total compares to $10.

Item Costs:

• Popcorn: $4.25
• Candy: $1.95
• Pop: $2.75

Total Cost Calculation:

To find the total cost for one person, we add the costs of all the items together:

\[ \text{Total Cost} = \text{Cost of Popcorn} + \text{Cost of Candy} + \text{Cost of Pop} \]

\[ \text{Total Cost} = 4.25 + 1.95 + 2.75 \]

Performing the addition:

1. Add the first two items: \[ 4.25 + 1.95 = 6.20 \]

2. Add the result to the cost of the pop: \[ 6.20 + 2.75 = 8.95 \]

Comparison to Budget:

Now, we compare the total cost per person to the $10 budget:

• Total spent per person: $8.95
• Budget: $10.00

Amount Under Budget:

To find out how much under her budget she is, we subtract the total cost from $10:

\[ \text{Amount Under Budget} = 10.00 - 8.95 = 1.05 \]

Conclusion:

Based on the calculations, Lily will spend $8.95 on each friend, which is under her budget. She will be $1.05 under the $10 limit per person.

Final Answer:

• Lily will spend $8.95 on each friend, which is under her budget. She will be $1.05 under $10.

Answer 10

You and your friend are playing Pass the Pigs Dice Game. You roll a Sider, then a Razorback and then a Snouter. On your next turn you roll a Makin’Bacon and your score is “Back to Zero.” How many total points did you lose? 1 pt (NS.1a, b) (1 point) Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse. You lost Response area points. Skip to navigation

Answer 11

In the Pass the Pigs Dice Game, each roll of the pigs has specific combinations that result in points. However, certain rolls can lead to specific outcomes, including a "Back to Zero" situation, which typically means that any points earned in the previous turns are lost.

Breakdown:

1. Rolls:

   • Sider: Usually worth 1 point.
   • Razorback: Usually worth 5 points.
   • Snouter: Usually worth 10 points.

   Assuming these values for calculation purposes:

   • Total points from these rolls: \[ 1 (Sider) + 5 (Razorback) + 10 (Snouter) = 16 \text{ points} \]

   However, when you roll a Makin' Bacon on your next turn and your score is "Back to Zero," this means you lose all previously accumulated points.

2. Total Points Lost: This means you lost all gathered points from the previous rolls (16 points) because of the "Back to Zero" condition after the latest roll.

Final Response:

You lost 16 points.

Make sure to insert 16 into the response area.