Answer:
Step-by-step explanation:
Answer: the height in inches, of the pile after 3 weeks is 34 11/12 inches
Step-by-step explanation:
Each consecutive week for the next 5 weeks the height of pile increase by 8 7/12 inches. Converting 8 7/12 inches to improper fraction, it becomes 103/12 inches. The height is increasing in an arithmetic progression. The formula for determining the nth term of an arithmetic sequence is expressed as
Tn = a + (n - 1)d
Where
a represents the first term of the sequence.
d represents the common difference.
n represents the number of terms in the sequence.
From the information given,
a = 17 3/4= 71/4 inches
d = 103/12 inches
n = 3 weeks
the height in inches, of the pile after 3 weeks, T3. Therefore,
T3 = 71/4 + (3 - 1)103/12
T3 = 71/4 + 2 × 103/12 = 71/4 + 103/6
T3 = 419/12 inches = 34 11/12 inches
Answer: x-y=7
Step-by-step explanation:
1. 15+37=?
- 15=10+5 (given on the diagram)
- 37=30+7 (given on the diagram)
- add digits to digits 5+7=12=10+2
- add tens to tens 10+30+10=50
- add tens and digits 50+2=52.
2. 22+49=?
- 22=20+2 (given on the diagram)
- 49=40+9 (given on the diagram)
- add digits to digits 2+9=11=10+1
- add tens to tens 20+40+10=70
- add tens and digits 70+1=71.
3. 38+26=?
- 38=30+8 (given on the diagram)
- 26=20+6 (given on the diagram)
- add digits to digits 8+6=14=10+4
- add tens to tens 30+20+10=60
- add tens and digits 60+4=64.
Answer: 1) 52; 2) 71; 3) 64.
