Question

Which values from the set {1, 2, 3, 4, 5} make the inequality true? n+2<6

Answer 1

If we subtract 2 from both sides of the inequality, we get n<4. This means that any value of n that is less than 4 will make the inequality true. Therefore, the values 1, 2, and 3 from the set {1, 2, 3, 4, 5} make the inequality true.

Answer 2

Jon collects 2,578 ounces of honey from his beehives. He will put the honey in jars that hold 6 ounces each. Which expression is best to estimate the number of jars Jon can fill with honey?

Answer 3

To estimate the number of jars Jon can fill with honey, we need to divide the total amount of honey he collected (2,578 ounces) by the amount of honey that each jar can hold (6 ounces). This gives us the expression:

2,578 ÷ 6

However, this would give us an exact answer, and the question is asking for an estimate. To estimate, we can round 2,578 to the nearest thousand, which is 3,000. Then we can divide 3,000 by 6 to get:

3,000 ÷ 6 = 500

So the expression that is best to estimate the number of jars Jon can fill with honey is:

2,578 rounded to 3,000 and then divided by 6, which gives an estimate of 500 jars.

Answer 4

Makayla has 90 minutes to answer 36 questions on a school survey. How many minutes per question does she have?

Answer 5

To find out how many minutes per question Makayla has, we need to divide the total time she has (90 minutes) by the number of questions she needs to answer (36):

90 ÷ 36 = 2.5

Therefore, Makayla has an average of 2.5 minutes per question to complete the school survey.

Answer 6

A small box of pens cost $6. A large box pens cost $8. The table shows the costs of buy certain numbers of boxes and pens. Which ordered pair represents the cost of 5 small boxes and 5 large boxes?

Answer 7

We can use the table to find the cost of 5 small boxes and 5 large boxes:

| Number of small boxes | Number of large boxes | Total cost |
|----------------------|----------------------|------------|
| 1 | 1 | $14 |
| 2 | 1 | $20 |
| 3 | 2 | $32 |
| 4 | 3 | $46 |
| 5 | 5 | ??? |

To find the cost of 5 small boxes and 5 large boxes, we need to add up the cost of 5 small boxes and the cost of 5 large boxes. The cost of 5 small boxes is:

5 small boxes x $6 per small box = $30

The cost of 5 large boxes is:

5 large boxes x $8 per large box = $40

Adding these two costs together, we get:

$30 + $40 = $70

Therefore, the ordered pair that represents the cost of 5 small boxes and 5 large boxes is (5, 5, $70).