Answer: 19 birds were at the shelter on Wednesday.
Step-by-step explanation:
Let x represent the number of birds that were at the shelter on Wednesday.
Let y represent the number of birds that were at the shelter on Wednesday.
Nicole found a record showing that there were a total of 40 birds and cats on Wednesday. This means that
x + y = 40
The animal shelter spends $5.50 per day to care for each bird and $8.50 per day to care for each cat. Nicole noticed that the shelter spent $283.00 caring for birds and cats on Wednesday. This means that
5.5x + 8.5y = 283 - - - - - - - - - - - - - -1
Substituting x = 40 - y into equation 1, it becomes
5.5(40 - y) + 8.5y = 283
220 - 5.5y + 8.5y = 283
- 5.5y + 8.5y = 283 - 220
3y = 63
y = 63/3 = 21
x = 40 - y = 40 - 21
x = 19
There are 12 such shapes. One can start with two squares, adding squares around the edge and rejecting shapes that have been previously seen. Repeating until you have 5 squares results in 12 distinct shapes.
_____
2 shapes are possible with 3 squares: L, I
5 shapes are possible with 4 squares: L, I, N, T, O
Answer:
0.6 - 1/4
Convert the decimal to fraction
Thus
0.6 = 3/4
3/5 - 1/4
Find the LCM
the LCM is 20
We get
3/5 - 1/4 = (3(4) - 5)/ 20
= 12-5/20
= 7/20
2/5 + 0.75
0.75 = 3/4
Find the LCM
The LCM is 20
Thus
3/4 +2/5 = ( 3(5) + 2(4))/20
= 15 + 8 /20
= 23 / 20 or 1 3/20
1.75 - 1/6
Convert the decimal to fraction
1.75 = 7/4
Thus we get
7/4 - 1/6
Find the LCM
The LCM is 12
Thus
7/4 - 1/6 = ( 7(3) - 2)/12
= 21 - 2 / 12
= 19/ 12 or 1 7/12
3/10 + 2.125
Convert the decimal to fraction
2.125 = 17/8
Thus
3/10 + 17/8
Find the LCM
the LCM is 40
Thus
3/10 + 17/8 = ( 3(4) + 17(5))/40
= 12 + 85/40
= 97 /40 or 2 17/40
Hope this helps
So the answer might be 61.0 because if you subtract (-)63.5 with 2.5 it would 61.0 so i dont know ..but good luck and if i fail you im so sorry
Answer:
18 numbers between 650 and 780 leave remainders of 4 when divided by 7.
12 numbers between 650 and 780 leave remainders of 6 when divided by 11.
Step-by-step explanation:
1. Number 655 is the smallest number that leaves the remainder of 4 when divided by 7. Number 774 is the greatest number that leaves the remainder of 4 when divided by 7. So,
2. Number 655 is the smallest number that leaves the remainder of 6 when divided by 11. Number 776 is the greatest number that leaves the remainder of 6 when divided by 11. So,
