Answer:
44
Step-by-step explanation:
Given that Avi used 11 toothpicks to form a row of 5 attached triangles.
Total number of toothpicks used = 89
Let the total number of triangles formed be represented by x, so that:
11 toothpicks = 5 triangles
It would be observed that only the first triangle starting the pattern has 3 toothpicks. So that;
the average number of toothpicks for 1 triangle = 
= 2.2
The number of toothpicks per triangle = 2.0
Thus,
x = 
= 44.5
x = 44
The total number of triangles formed is 44.
Answer: 95 mm Hg
Step-by-step explanation:
Given: The equation represents the linear model for the data is
Since, age is an independent quantity whereas blood pressure is dependent quantity.
Thus, y represents the the systolic blood pressure of people of several different ages (x).
Now, the age of new born baby =0
Substitute x=0 in the equation , we get y=95
Hence, The systolic blood pressure of new born baby = 95 mm hg
The expression you want to simplify is 0-(x-y).
0-(x-y)
=-(x-y)
=-x+y
You just have to treat the negative sign in front of (x-y) as a -1 and distribute it to both x and -y.
Answer:
$6750 in the bank account and $20,250 in the stock fund
Step-by-step explanation:
If B is the money they put in the bank and S is the amount they put in the stock fund, then:
B + S = 27000
1.024 B + 1.072 S = 1.06 × 27000
Solving the system of equations:
1.024 (27000 − S) + 1.072 S = 28620
27648 − 1.024 S + 1.072 S = 28620
0.048 S = 972
S = 20250
B = 27000 − S
B = 6750
They should put $6750 in the bank account and $20,250 in the stock fund.
