90miles/hour
divide by 360 to convert to miles per second
multiply by 5280 to get to feet per second
multiply by number of seconds to get length (in feet) of each object
The answer is 20 since 1/5 of 20 is 4, and 20 + 4 = 24.
12 total letters...5 vowels and 7 consonants.
probability of 1st letter being a vowel is 5/12
after replacing ...
probability of 2nd letter being a vowel is 5/12
probability of both occurring is (5/12 * 5/12) = 25/144 <===
First, count the total number of letters in <span>BURGER AND STARBIRD.
There are 17 letters.
Now count each type of letter you are interested in and divide by 17.
a) There are four R's, so the probability of pulling out an R is 4/17.
b) </span><span>There are two B's, so the probability of pulling out an B is 2/17.
c) Letters A through M appear in the first half of the alphabet.
These letters are from the first half of the alphabet:
</span><span>BGEADABID
There are 9 of them.
</span>The probability of pulling out a letter that appears in the first half of the alphabet is 9/17.
d) <span>These letters are vowels
</span><span>UEAAI
There are five vowels.
</span><span>The probability of pulling out a vowel is 5/17.</span>
Answer:
34 = 2A + 1B + 4C
35 = 3A + 2B+ 2C
49 = 5A + 3B+ 2C
Pairs the 1st and 2nd equation, then eliminates C:
34 = 2A + 1B + 4C
35 = 3A + 2B + 2C
34 = 2A + 1B + 4C
-70 = -6A + -4B + -4C <---- multiplies 2nd equation by -2
Adds them together
-36 = -4A + -3B
36 = 4A + 3B <----- please label this equation ALPHA
Next, pairs the 2nd and 3rd equations, and eliminates C:
35 = 3A + 2B+ 2C
49 = 5A + 3B+ 2C
Subtracts the top equation from the bottom:
49-35 = 5a-3a + 3b-2b + 2c-2c
14 = 2a + b <--- please label this equation BETA
ALPHA: 36 = 4A + 3B
BETA: 14 = 2a + b
Solves the 2x2 system by substitution:
BETA: 14 - 2a = b <---- solves equation BETA for b
Substitutes into equation ALPHA:
36 = 4a + 3(14 - 2a)
36 = 4a + 42 - 6a
36 = 42 - 2a
-6 = -2a
a=3
b = 14 - 2a = 14 - 2(3) = 14 - 6 = 8
34 = 2a + b+ 4c
34 = 2(3)+ 8 + 4c
34 = 6+8 + 4c
34 = 14 + 4c
20 = 4c
c=5
1 pound of apples cost $3
1 pound of berries cost $8
1 pound of cherries cost $5
