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Maksim231197 [3]
3 years ago
10

In order to solve her final math problem Tina must use the additive inverse. If -16 - (-9) is her problem, what should she do?

Mathematics
1 answer:
iogann1982 [59]3 years ago
6 0

Answer:

-7

Step-by-step explanation:

Given data

Tina's problem is

-16 - (-9)

Firstly let her open up the bracket

Note - * -= +

-16+9

Secondly, Rearrange

9-16= -7

Hence the answer is -7

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A number cube was rolled 60 times. the cube is numbered 1-6.how many times would you expect an even number to be rolled?
Anni [7]
You would expect an even number to be rolled 1/2 of the time as there are 3 evens and 3 odds

1/2 of 60 is 30

so you expect an even number to be rolled 30 times
7 0
3 years ago
The fifth term of an arithmetic progression is 41 and the sum of the first four terms is 94. Find the common difference.​
iren [92.7K]

Answer:

d = 7

Step-by-step explanation:

The first five terms of an arithmetic progression are

a, a + d, a + 2d, a + 3d, a + 4d

Where d is the common difference

Given the fifth term term = 41, then

a + 4d = 41 → (1)

Given the sum of the first four terms = 94, then

a + a + d + a + 2d + a + 3d = 94, that is

4a + 6d = 94 → (2)

Rearrange (1) expressing a in terms of d by subtracting 4d from both sides

a = 41 - 4d → (3)

Substitute a = 41 - 4d into (2)

4(41 - 4d) + 6d = 94 ← distribute and simplify left side

164 - 16d + 6d = 94

164 - 10d = 94 ( subtract 164 from both sides )

- 10d = - 70 ( divide both sides by - 10 )

d = 7 ← common difference

6 0
4 years ago
Read 2 more answers
Find the 11th term of the arithmetic sequence graphed below. 6 3 -3 -6 -9 -12 -15 -18​
Yakvenalex [24]
-57 if you keep following the pattern
8 0
3 years ago
Help with Venn Diagram / Set Operation Question (100 points)
sweet-ann [11.9K]

Answer:

1)

<u>Find the union of A and B:</u>

  • A∪B = {2,3,4,5,6,7,9,10,11,13,14,15,18,19,20}

<u>Find the complement of above:</u>

  • (A∪B)^{C} =
  • U\(A∪B) =
  • {1,2,3,4,...,18,19,20}\ {2,3,4,5,6,7,9,10,11,13,14,15,18,19,20} =
  • {1,8,12,16}

2)

<u>Find the intersection of A∩C:</u>

  • A∩C = {5,6,7,14,20}

<u>Find the complement of above:</u>

  • (A∩C)^C =
  • U\(A∩C) =
  • {1,2,3,4,...,18,19,20}\ {5,6,7,14,20} =
  • {1,2,3,4,8,9,10,11,12,13,15,16,17,18,19}

8 0
3 years ago
Q is directly proportional to r. q is 76 when r is 20. work out q when r is 45.
pashok25 [27]
Q α r
q=kr
thus
k=q/r
when r=20, q=76
hence
k=76/20=
q=76/20r
when r=45 the value of q will be:
q=76/20×45
q=171
8 0
4 years ago
Read 2 more answers
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