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fenix001 [56]
3 years ago
11

What is the 42nd term of the sequence 12.25, 14.50, 16.75,...?

Mathematics
1 answer:
Dominik [7]3 years ago
4 0
T3 - T2 = T2 - T1
16.75 - 14.50 = 14.50 - 12.25
2.25 = 2.25

so this is arithmetic progression

T42 = 12.25 + 41(2.25)
= 12.25 + 92.25
= 104.5
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Thomas wants to invite Madeline to a party. He has an 80% chance of bumping into her at school. Otherwise, he’ll call her on the
Alexandra [31]

Answer:

84%

Step-by-step explanation:

The probability of Thomas bumping into her at school is 80%, so the probability of not bumping into her is 100% - 80% = 20%.

If he doesn't bump into her (20% chance), he will call her, and the probability of asking her in this case is 60%, so the final probability of asking her in this case is:

P_1 = 20\% * 60\% = 12\%

If he bumps into her (80% chance), the probability of asking her is 90%, so the final probability of asking her in this case is:

P_2 = 80\% * 90\% = 72\%

To find the probability of Thomas inviting Madeline to the party, we just have to sum the probabilities we found above:

P = P_1 + P_2

P = 12\% + 72\% = 84\%

5 0
3 years ago
Solve the system of linear equations<br><br> x + y = 4 and 2x + 3y = 0
forsale [732]

solve this answer by using substitution. set the first equation to x=-y+4 then substitute -y+4 for x in the second equation.

2(-y+4) + 3y=0

-2y+8 + 3y=0

y+8=0

y=-8

now use -8 and solve for x

x+(-8)=4

x=12

8 0
3 years ago
Please Show Work.
s344n2d4d5 [400]

Answer:

\huge\boxed{x=17}

Step-by-step explanation:

It's important to note that when two angles create a straight line, they are supplementary.

This means their angle measures add up to 180° since a 180° angle is a straight line.

Since we know the measures of both angles in equation form, we can add them together and have them equal 180 to solve for x.

(5x-18) + (4x+45) = 180

Combine like terms:

9x + 27 = 180

Subtract 27 from both sides:

9x = 153

Divide both sides by 9:

x = 17

So x = 17.

Hope this helped!

5 0
3 years ago
Read 2 more answers
To make chocolate ice cream,you need about 3/8 pound of chocolate.How many pounds of chocolate will you need to make 4 batches o
Gre4nikov [31]
1 batch ice cream = 3/8 lb chocolate

4 batches ice cream=
=4(3/8)
=(4*3)/8
=12/8
=1 1/2 pounds of chocolate needed to make 4 batches of ice cream

Hope this helps! :)
8 0
3 years ago
I need help with geomtry
Yuliya22 [10]

Answer:

40!

Step-by-step explanation:

CE is 12

CD and ED are congruent so they're both 14

12 + 14 + 14 is 40

4 0
3 years ago
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