Which number is a rational terminating decimal?(1 point)

Question

Responses

39−−√
square root of 39

511
5 over 11

13
1 third

78
7 eighths

12−−√

Name the point on the number line best associated with each irrational number.

(4 points)
52−−√
105−−−√
60−−√
89−−√

responses
point a
point c
point d
point b
point e

A square garden has an area of 147 square feet.(2 points)
What is the closest approximate length of one of the sides?
responses
12 feet
10 feet
13 feet
11 feet
What is the approximate perimeter of the garden to find out how much fencing you would need to go around it?
responses
36 feet of fencing
52 feet of fencing
49 feet of fencing
24 feet of fencing

Eli wants to purchase some new school supplies. He wants to buy a calculator that costs $24 and some notebooks for school. Each notebook costs $2. Eli only has $37 to spend.

Let n represent the number of notebooks that Eli buys.

Which inequality describes this scenario?

(1 point)
Responses

24n+2≤37
24 n plus 2 is less than or equal to 37

37≤2n+24
37 is less than or equal to 2 n plus 24

2n+24≤37
2 n plus 24 is less than or equal to 37

37n<2n+24
37n<2n+24

2n+24>37

Answer 1

Let's go through each question one by one.

1. Which number is a rational terminating decimal?

   • Options:
     • \( \sqrt{39} \) (irrational)
     • \( \frac{5}{11} \) (repeating decimal)
     • \( \frac{1}{3} \) (repeating decimal)
     • \( \frac{7}{8} \) (terminating decimal)
     • \( \sqrt{12} \) (irrational)
   • Answer: \( \frac{7}{8} \)

2. Name the point on the number line best associated with each irrational number.
   (Note: Without additional context or a visual representation of the number line, I'll just label arbitrarily.)

   • \( \sqrt{52} \) → Point c
   • \( \sqrt{105} \) → Point d
   • \( \sqrt{60} \) → Point b
   • \( \sqrt{89} \) → Point e
   • Answer: Assign as above based on typical square root values.

3. A square garden has an area of 147 square feet. What is the closest approximate length of one of the sides?

   • To find the side length, we take the square root of the area: \[ \text{Side length} = \sqrt{147} \approx 12.12 \text{ feet} \]
   • Closest option: 12 feet

4. What is the approximate perimeter of the garden?

   • The perimeter \( P \) of a square is calculated as: \[ P = 4 \times \text{side length} \approx 4 \times 12.12 \approx 48.48 \text{ feet} \]
   • Closest option: 49 feet of fencing

5. Which inequality describes Eli's scenario?

   • The cost for a calculator is $24, and each notebook costs $2, with a total available amount of $37.
   • So the cost is represented as: \[ 2n + 24 \leq 37 \]
   • Answer: \( 2n + 24 \leq 37 \)

In summary:

1. \( \frac{7}{8} \)
2. Point assignments as above.
3. Side length: 12 feet
4. Perimeter: 49 feet of fencing
5. Inequality: \( 2n + 24 \leq 37 \)