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We have 7 slots for our options because there are 7 digits.

_ _ _ _ _ _ _ and the problem says that the telephone number cannot start with 0 or 1, we have:

8*10*10*10*10*10*10=8*10^6=8,000,000

8 digits for the first slot, excluding 0 or 1.

Now, the problem is asking us to find the fraction of telephone numbers begin with 9 and end with 0.

So, we have 1*10*10*10*10*10*1=1*10^5=100,000.

Thus, the fraction is: \(\frac{100000}{8000000}=\boxed{\frac{1}{80}}\)

Question 1:

Convert 5ft and 8ft to inches-  60 inches and 96 inches, respectively.

Other car: 5 inches and 8 inches

So, 60/5=12, and 96/8=12

Therefore, the answer is \(\boxed{\frac{1}{12}}\)

In a basketball game, Jeff scored a total of 36 points. Of the shots he made, 20% were worth three points each, 40% were worth two points each and 40% were worth one point each. How many shots worth one point did Jeff make?

Let x be the number of shots he makes for 3 pointers, 2 pointers, and 1 pointers.

So, we have 20%(3x)+40%(2x)+40%(x)=\(\frac{3}{5}x+\frac{4}{5}x+\frac{2}{5}x=36\)

Then, we get: \(\frac{9}{5}x=36\)

And, \(x=36*\frac{5}{9}, x=20\)

Since the question is asking for the number of shots worth 1 point, we can do: \(\frac{2}{5}*20=\boxed{8}\) shots.

Divisible by 6, means divisible by 2 and 3.

Divisible by 2: Even units digit

Divisible by 3: Sum of digits must be divisible by 3.

We have 0,2,4,6,8 for the possibilities for being divisible by 2:

For the divisibility of 3, let's add the values up: 9+8+7+6+5+4+3+2=44

Since the divisibility of 2, means an even units digit, we have:

44+0=44

44+2=46

44+4=48

44+6=50

44+8=52

These values are divisible by 2 (for sure), but we need to check if they're divisible by 3.

44=4+4=8, not divisible by 3

46=4+6=10, not divisible by 3

48= 4+8=12, it is divisible by 3 (yes!)

50=5+0=5, not divisible by 3

52=5+2=7, not divisible by 3

We have one possible value, which is 48.

Thus, our answer is \(48-44=\boxed{4}\)

Remember! The sum of the exterior angles in any polygon is 360 degrees.

Since it's asking for each angle, we can simply do \(\frac{360}{9}=\boxed{40^\circ}\)

First, add 3 to both sides,

2x^2=2x-3,

2x^2+3=2x-3+3

2x^2+3=2x

Then, subtract 2x on both sides,

2x^2+3-2x=2x-2x

2x^2-2x+3=0

After that, solve with the quadratic formula to get the third option.

Yes, you have to:

First, 8 miles- 8 miles=60 minutes, 2 miles=15 minutes

Next, 10 miles- 10 miles=60 minutes, 5 miles=30 minutes

Thus, \(5+2=\boxed{7}\) miles.

A-T= Total of 20 letters

Vowels from A-T= A,E,I,O

So, we have 4 vowels and 20 total letters.

Thus, \(\frac{4}{20}=\boxed{\frac{1}{5}}\)

\(\frac{6x}{3x}=\frac{6}{3}=\boxed{2}\)

one morning she sells 10 pretzels and 5 lemonades and makes a total of $40.00. In afternoon she sells 25 pretzels and 2 lemonades and made $115 dollars. How much is each?

We have the equations, 10p+5d=$40.00, and 25p+2d=$115

Finding the LCM of 5d and 2d, we get 10:

So, 20p+10d=80.00, 125p+10d=575

Subtarcting, we have: 105p=495

Therefore, p=495/105=4.714\(\approx4.71\)

d=$1.43

Yay! Solved it!