Hello from MrBillDoesMath!
Answer:
x = 7/8
Discussion:
3[x + 3(4x – 5)] = 15x – 24 =>
3x + (3*3)(4x-5) = 15x - 24 =>
3x + 9*(4x) - (3*3)*5 = 15x - 24 =>
3x + 36x - 45 = 15x - 24 => (add 24 to each side)
3x + 36x - 45 + 45 = 15x - 24 + 45 =>
39x = 15x + 21 => (as 45-24 = 21)
39x-15x = 21 => (subtract 15x from both sides)
24x = 21 =>
x = 21/24 = -7/8
Regards,
MrB
P.S. I'll be on vacation from Friday, Dec 22 to Jan 2, 2019. Have a Great New Year!
Answer:
C, 53.68 units
Step-by-step explanation:
tan 54° = 
39 tan 54° = x
x= 53.6788949 (just plug it in a scientific or graphing calculator)
x≈53.68
Answer:
Each family spent about 34.25 on dinner
Step-by-step explanation:
$167 - $30 (tip) = 137
137 ÷ 4 (for each family) = 34.25
BUT
if each family is seperate than they each spent about 11.75 on dinner
167 - (30 x 4) = 47
47 ÷ 4 = 11.75
I'm pretty sure the first one is the answer though
Answer:
(a) 2%
Step-by-step explanation:
A score of 60 is 2 standard deviations below the mean (80 -2·10 = 60). The empirical rule tells you that 95% of the distribution is within 2 standard deviations of the mean. The remaining 5% is split evenly between those that are more than 2 SD above the mean and those that are more than 2 SD below the mean.
That tells you the percentage who failed is about 2.5%. The best answer choice is 2%.
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<em>Additional comment</em>
The empirical rule is a little bit sloppy, but it gets you in the ballpark. The actual percentage is closer to 2.275%.
135 divided by 9 is 15 so there's 15 people in each group and this people 15 people will watch each movie.
