Answer:
5x - 11
Step-by-step explanation:
Step 1: Write out expression
2(x + 8) + 3(x - 9)
Step 2: Distribute
2x + 16 + 3x - 27
Step 3: Combine like terms (x)
5x + 16 - 27
Step 4: Combine like terms (constants)
5x - 11
Answer:
The probability that 10 adults selected at random from the town all have health insurance is 0.01153.
Step-by-step explanation:
Consider the provided information.
One town, 64% of adults have health insurance.
Let p = 64% = 0.64
Therefore, q=1-0.64=0.36
We need to find the probability that 10 adults selected at random from the town all have health insurance
Use the formula: 
Here, the value of r is 10.
Substitute the respective values in the above formula.
Hence, the probability that 10 adults selected at random from the town all have health insurance is 0.01153.
Answer:
15.75
36
15.75
Step-by-step explanation:
Formula
the relationship between these two secants is NQ * NP = NM * LM
Givens
- NP = 32
- NQ = x
- NM = 14
- NL = 14 + 22 = 36
Solution
x*32 = 14*36 Substitute values. Divide by 32
x = 14 * 36/32 Multiply 14 and 36
x = 504/32 Divide by 32
x = 15.75
The answer to the first box is 15.75 or x
The answer to the second box is
LM is assumed to be 22 So LN = MN + LM = 22 + 14= 36
QN = 15.75 is the third answer.
To get which design would have maximum area we need to evaluate the area for Tyler's design. Given that the design is square, let the length= xft, width=(120-x)
thus:
area will be:
P(x)=x(120-x)
P(x)=120x-x²
For maximum area P'(x)=0
P'(x)=120-2x=0
thus
x=60 ft
thus for maximum area x=60 ft
thus the area will be:
Area=60×60=3600 ft²
Thus we conclude that Tyler's design is the largest. Thus:
the answer is:
<span>Tyler’s design would give the larger garden because the area would be 3,600 ft2. </span>
That already is a fraction.
