Let a,b,c,d and e are five numbers
mean = (a +b+ c+ d+e)/5 = 30
⇒ (a +b+ c+ d+e) = 150_______(1)
now, Let the number excluded be a
then, new mean = (b+ c+ d+e)/4 = 28
⇒ (b+ c+ d+e)= 112
putting this value in (1),
⇒a + 112 = 150
⇒a = 150 -112 = 38
excluded number = 38
Answer: Exact Form: x = 7/2
Decimal Form: x = 3.5
Mixed Number Form: x = 3 1/2
How to: <u>
Solve for x by simplifying both sides of the equation, then isolating the variable.</u>
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The answer is: [B]: " 60° " .
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Because at whatever location, <span>∠2 and ∠4 are vertical angles;
</span>
and all vertical angles have equal measurements.
Given: m∠1 is 120°, and ∠1 is supplementary to ∠2 ;
then m∠1 + m∠2 = 180° .
So, m∠2 = (180 - 120)° = 60° .
As aforementioned:
m∠4 = m∠2 = 60° ; which is: Answer choice: [B]: " 60° " .
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375 lower reserved tickets were purchased and 365 upper reserved tickets were purchased
Step-by-step explanation:
Let x be the number lower reserved tickets
and
y be the number of upper reserved tickets
Then according to given statements

From equation 1:

Putting in equation 2

Subtracting 7030 from both sides

Dividing both sides by -1.5

Putting y = 365 in equation 1

Hence,
375 lower reserved tickets were purchased and 365 upper reserved tickets were purchased
Keywords: Linear equations, Variables
Learn more about linear equations at:
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Answer:
3x +8y = -17
Step-by-step explanation:
The point-slope equation is a good place to start.
y -k = m(x -h) . . . . . equation through (h, k) with slope m
Filling in your numbers gives ...
y +4 = -3/8(x -5)
Multiplying by 8, we get
8y + 32 = -3x + 15
Adding 3x-32 puts this in standard form.
3x + 8y = -17
_____
Standard form is ...
ax +by = c
where a, b, c are mutually-prime integers and the leading coefficient is positive. (If a=0, the leading coefficient is b.)