Answer:
28,125
Step-by-step explanation:
There are 10 digits between 0 and 9. 5 of them are odd, and 5 of them are even.
If a six-digit number has all odd digits, then there are 5 numbers that can be the first digit, 5 numbers that can be the second digit, 5 numbers that can be the third digit, and so on.
The number of permutations is 5×5×5×5×5×5 = 5⁶ = 15,625.
For all even digit numbers, the first digit can't be 0, so the number of permutations is 4×5×5×5×5×5 = 4×5⁵ = 12,500.
So the total permutations of six-digit numbers of equal parity is 15,625 + 12,500 = 28,125.
Answer: Choice C
sin(26) = x/10
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Explanation:
With respect to the 26 degree angle, the x is the opposite side and the 9 is the length of the adjacent side.
We can say tan(26) = x/9 because tangent is the ratio of opposite over adjacent. In other words, tan(angle) = opposite/adjacent
Unfortunately, tan(26) = x/9 is not an answer choice.
Luckily though, we have other trig ratios to work with.
The sine ratio ties together the opposite side and hypotenuse
sin(angle) = opposite/hypotenuse
sin(26) = x/10
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Extra info (optional section)
Solving for x leads to...
sin(26) = x/10
10*sin(26) = x
x = 10*sin(26)
x = 4.38371 approximately
Also, note how cos(26) = 0.89879 approximately, which is fairly close to 9/10 = 0.9. This indicates some rounding error is going on when your teacher is displaying either the 9, the 10, or the 26 degree angle.
Answer:
17/80
Step-by-step explanation:
change 21 1/4 to a fraction
2125/10000 and simplfy
425/2000
85/400
17/80
Answer:
2
Step-by-step explanation:
a cup detergent for 
a load of clothes would mean for each full load, it would take a cup of detergent.
Thus if you have 4 load of clothes, which is 8 half loads. You can take that 8 half loads and multiply by 8. This gives you 2 cups of detergent.
The answer is 1/4 x - 3 = 12
