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Alex787 [66]
2 years ago
15

Suppose you took eight math tests this semester. If your average score on your first six tests was 84 and your average score on

all eight tests was 86, then what was the average of your last two test scores? avamarie Apr 27, 2020
Mathematics
1 answer:
iris [78.8K]2 years ago
8 0

Answer: 92

Step-by-step explanation:

Formula : Sum of first n numbers = Average x n

Given: Average score on first 6 tests= 84

A score on all 8 tests = 86

Then, Sum of first 6 numbers = 84 x 6 = 504

Sum of first 8 numbers = 86 x 8 = 688

Sum of two last numbers = (Sum of first 8 numbers) - (Sum of first 6 numbers)

= 688-504

=184

Average of last two numbers = (Sum of two last numbers )÷2

= 184÷2

= 92

Hence,  the average of your last two test scores = 92.

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When does expanding and simplifying a(b+c) result in a positive value for ac
TiliK225 [7]

Answer:


Step-by-step explanation:

(ab + bc)(ab + bc)

Simplifying

(ab + bc)(ab + bc)

Multiply (ab + bc) * (ab + bc)

(ab(ab + bc) + bc(ab + bc))

((ab * ab + bc * ab) + bc(ab + bc))

Reorder the terms:

((ab2c + a2b2) + bc(ab + bc))

((ab2c + a2b2) + bc(ab + bc))

(ab2c + a2b2 + (ab * bc + bc * bc))

(ab2c + a2b2 + (ab2c + b2c2))

Reorder the terms:

(ab2c + ab2c + a2b2 + b2c2)

Combine like terms: ab2c + ab2c = 2ab2c

(2ab2c + a2b2 + b2c2)

7 0
3 years ago
If ab = 20 cm and bc = 4 cm, then what are the possible lengths for ac so that ab, bc and ac can form a triangle?
telo118 [61]
16<ac<24
If it is less than 16 it will not form a triangle and if it is more than 24 the other two legs will not be larger than ac is.
3 0
3 years ago
Mr. Strand washed 2 - 5 of his laundry. His son washed 1 - 4 of it. Who washed most of the laundry? How much of the laundry stil
fredd [130]

Answer:

His son did.

Step-by-step explanation:

His son: 1/4 = 25%

Mr. Strand: 2/5 = 20%

They also need 55% more to wash or in other words 11/20.

7 0
3 years ago
Question 5 of 20 :
Rudik [331]

Answer:

Following the rule of BIDMAS

we will solve the one inside the bracket first, Addition will be solved before subtraction

i.e ( 5+4-2) x ( - 2)

     = ( 9-2) x (-2)

      = 7 x -2

      = - 14

Step-by-step explanation:

3 0
2 years ago
Can I get help finshing all these qustions 1. -4(6) 2. -21-8) 3. 121-4) 4. -6(5) 5. -10(-9) 6. -(5) 7. (-5) 8. -30(5) 9. 20(-6)
Papessa [141]

Answer:

1. -4(6)= -24

2.-21-8= -29

3. 121-4 =117

4. -6(5) =-30

5. -10(-9)= 90

6. (-5)7= -35

7. (-5)8= -40

8. -30(5)= -150

9. 20(-6)= -120

10. -14(6)= -84

11. (-13)2 = -26

12. –7(15) = -105

13. -3(4) = -12

14. 7(-3) = -21

15. 3(-3) = -9

16. -2(-10) = 20

17. (-5)(-3)(4) = 60

18. -3(-3)(4)= 36

19. -3(-5) = 15

20. 5(-3) = -15

21. 7(-5)(4) = -140

22. -2(-5)(-3)= -30

23. – 10(-3)=30

24. -21-3= -24

Explanation:

We have followed the rules in adding and subtracting negative as well as positive values on the number line.

When adding two negative values, the result is a negative value.

When adding a negative and positive value, the result is either a positive or negative value depending on if the negative value is bigger or smaller than the positive value

When multiplying two negative values, the result is a positive value

When multiplying one negative and one positive value, the result is a negative value

To make you understand addition and subtraction of negative and positive numbers better, let us use a simple analogy. Assuming you are owing five oranges(-5) and you are only able to give two oranges(+2), you will still be owing 3 oranges(-3). Assuming also that you are owing 6 oranges(-6) and you are able to give 8 oranges(+8), you would have given excess oranges and would be owed two oranges(+2). Hence the results above.

8 0
3 years ago
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