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8_murik_8 [283]
3 years ago
12

4(p – 4) > 12. Solve for p.

Mathematics
1 answer:
statuscvo [17]3 years ago
7 0

Answer:

p > 7

Step-by-step explanation:

Distribute the parenthesis on the left side

4p - 16 > 12 ( add 16 to both sides )

4p > 28 ( divide both sides by 4 )

p > 7


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A new movie is released each year for 8 years to go along with a popular book series. Each movie is 5 minutes longer than the la
Georgia [21]

Answer:

The total length of all 8 movies is 740 minutes

Step-by-step explanation:

* Lets revise the arithmetic series

- In the arithmetic series there is a constant difference between  

 each two consecutive numbers  

- Ex:  

# 2 , 5 , 8 , 11 , ………………………. (constant difference is 3)

# 5 , 10 , 15 , 20 , ………………………… (constant difference is 5)

# 12 , 10 , 8 , 6 , …………………………… (constant difference is -2)

* General term (nth term) of an Arithmetic series:  

- If the first term is a and the common diffidence is d, then

 U1 = a , U2 = a + d , U3 = a + 2d , U4 = a + 3d , U5 = a + 4d  

 So the nth term is Un = a + (n – 1)d, where n is the position of the

  number in the series

- The formula to find the sum of n terms is

  Sn = n/2 [a + l] , where l is the last term in the series

* Lets solve the problem

- A new movie is released each year for 8 years to go along with a

 popular book series

∴ n = 8

- Each movie is 5 minutes longer than the last

∴ d = 5

- The first movie is 75 minutes long

∴ a = 75

- To find the total length of all 8 movies find the sum of the 8 terms

∵ Un = a + (n - 1)d

∵ The last term l is u8

∵ a = 75 , d = 5 , n = 8

∴ l = 75 + (8 - 1)(5) = 75 + 7(5) = 75 + 35 = 110

∴ l = 110

∵ Sn = n/2 [a + l]

∴ S8 = 8/2 [75 + 110] = 4 [185] = 740 minutes

* The total length of all 8 movies is 740 minutes

7 0
3 years ago
Find the measure of the indicated angle.<br> Please can you help?<br> I need to show work.
777dan777 [17]

Answer:

64°

Step-by-step explanation:

∠RQP = 46°

∠PRQ = 180° - 110° = 70°

∠PRQ + ∠RQP + <u>∠RPQ</u> = 180°

70° + 46 + <u>∠RPQ</u> = 180°

116° + <u>∠RPQ</u> = 180°

Find <u>∠RPQ</u>

<u>∠RPQ</u> = 180° - 116° = 64°

4 0
3 years ago
12/18 ATB - Review question -<br> Evaluate 18x + 75 when x= 8.
boyakko [2]

Answer:

solution

x=8

so,

18 .8 +75

144 +75

219

7 0
3 years ago
Is this answer correct?
andre [41]
Thx no that answer is not correct
5 0
3 years ago
Read 2 more answers
Quadrilateral ABCD is a trapezoid with an area of 20 cm^2 Find the height of the trapezoid, h. Round the answer to the nearest t
sergij07 [2.7K]
Area of <span>trapezoid=(7+3)*h/2=20 cm2
10*h/2=20
5h=20
h=4 

the answer is 4.0 cm</span>
5 0
3 years ago
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