Question

1. sidney has 6 cups of milk. how many batches of cookies can she make if each batch calls for 1/2 cup of milk? 3. which statements are true? select all that apply. a) 1.425 > 1.420 b) 4.013 = 4.203 c) 41.50 < 41.150 d) 9.170 > 9.117 e) 3.6 = 3.600 f) 25.04 < 20.54 4. which statements about rounding are correct? a) 5.066 rounds to 5.07 b) 5.074 rounds to 5.08 c) 5.117 rounds to 5.12 d) 5.108 rounds to 5.11 e) 5.025 rounds to 5.03

Explanation:

Step1: Define total milk per batch

Total milk: $6$ cups, per batch: $\frac{1}{2}$ cup

Step2: Calculate batch count

Number of batches = $\frac{\text{Total milk}}{\text{Milk per batch}} = \frac{6}{\frac{1}{2}} = 6 \times 2 = 12$

Step3: Verify inequality A

Compare $1.406$ and $1.450$: $1.406 < 1.450$, so A is false.

Step4: Verify equality B

Compare $42.03$ and $4.203$: $42.03
eq 4.203$, so B is false.

Step5: Verify inequality C

Compare $61.50$ and $6.150$: $61.50 > 6.150$, so C is false.

Step6: Verify inequality D

Compare $9.170$ and $9.017$: $9.170 > 9.017$, so D is true.

Step7: Verify equality E

Compare $3.6$ and $3.600$: $3.6 = 3.600$, so E is true.

Step8: Verify inequality F

Compare $25.04$ and $20.54$: $25.04 > 20.54$, so F is false.

Step9: Verify rounding A

Round $5.066$ to hundredths: $5.07$, so A is true.

Step10: Verify rounding B

Round $5.074$ to hundredths: $5.07$, so B is false.

Step11: Verify rounding C

Round $5.117$ to hundredths: $5.12$, so C is false.

Step12: Verify rounding D

Round $5.108$ to hundredths: $5.11$, so D is true.

Step13: Verify rounding E

Round $5.025$ to hundredths: $5.03$, so E is false.

Answer:

1. 12 batches
2. D. $9.170 > 9.017$, E. $3.6 = 3.600$
3. A. $5.066$ rounds to $5.07$, D. $5.108$ rounds to $5.11$