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Masteriza [31]
3 years ago
14

Question 14

Mathematics
1 answer:
Delicious77 [7]3 years ago
8 0

Answer:

A (5,6)

Step-by-step explanation:

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A certain one-day seminar consisted of a morning session and an afternoon session. If each of the 128 people attending the semin
Elena L [17]

Answer:

16 people

Step-by-step explanation:

This is a set problem

let first session be a

let second session be b

128 people attended at least one session = a∪b

a. 3/4 attended both session 1&2 = a∩b

b. 7/8 attended session 2 = p(b) i.e population b

c x attended session 1 = p(a) i.e. population a

lets get the figures.

  • For both sessions 3/4 × 128 = 96 = a∩b
  • For second session 7/8 × 128 = 112 = b
  • The formular is a∪b = p(a) + p(b) - a∩b
  • a∪b = 128 (they at least one session)

lets substitute into the equation

let p(a) be x

128 = x + 112 - 96

128 = x + 16

x = 112 - no of people that attended the morning session.

But to find those that ONLY attended morning session

x - a∩b

112 - 96 = 16

3 0
3 years ago
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Nishi uses 6 bags of cat food every 5 months. How many bags of cat food does Nishi use in 12 months?
madam [21]
14.4bags of cat food
4 0
3 years ago
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Find the unit price for<br> $3.78 for a 6-pack
bixtya [17]

Answer:

3.72 answer is your answer

6 0
3 years ago
Which functions represent the arithmetic sequence 8, 1.5, –5, –11.5 . . . ? Check all that apply.
tiny-mole [99]
f(n) = -6.5n + 14.5

&

f(1) = 8, f(n+1) = f(n) - 6.5
4 0
3 years ago
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∠C and ​ ∠D ​ are vertical angles with m∠C=−3x+58 and m∠D=x−2 .<br><br><br><br> What is m∠D ?
Y_Kistochka [10]

So we have to find out what x is before we can solve for either angle

because vertical angles are always congruent we can set the two equations to equal each other and solve for x

so

-3x + 58 = x - 2

we need to get all the x terms on one side before we can solve for x so let's add 2 to both sides to get x alone on the right side

now we have

-3x + 60 = x

now we add 3x to both sides

60 = 4x

we isolated the terms and now we can solve for x by dividing both sides by 4

15 = x

so if x = 15 we need to plug that in to both equations to check our work

C = -3(15) + 58

C = 13

D = 15 - 2

D = 13

x does in fact equal 15 because both equations got the same answer and we found out that angle D = 13

8 0
4 years ago
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