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KIM [24]
3 years ago
5

Write and solve the inequality.

Mathematics
1 answer:
slamgirl [31]3 years ago
5 0

( 1 / 6 ) • n + 9 ≤ 93

( 1 / 6 )n ≤ 84

n ≤ 504

please give brainliest

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Paul went on a bike ride of 30 miles. He realized that if he had gone 8 mph faster, he would have arrived 12 hours sooner. How f
lara [203]

Answer: He actually rode 2 miles per hour on his trip

Step-by-step explanation: Maybe unconventional, but express the time it took, then figure the speed.

Time  = distance /speed  t will represent time, s is the speed:  t = 30/s Use the rime it would have taken at the higher speed to create an equation:

t-12 = 30/s+8   replace the y with the 30/s

30/s -12 = 30/s+8

(s)(30/s -12 ) = (s)(30/s+8 )  Cross multiply to cancel denominators  

(s-8)(30 -12s) = (s-8)(30s/s+8 ) ==> 30s +240 -12s² -96s =30s   Simplify:  

(-1)(-12s² -96s +240 ) =0 ==>  12s² +96s -240  divide all by 12

s² + 8s -20 = 0   Factor and solve for s

(s +10)(s -2) =0    s-2=0   S= 2  

Proof:

30/2 = 15 hours for original trip at 2mph,  

increase speed by 8mph   2 + 8 = 10mph

30 miles at 10mph takes 3 hours; that is 12 hours less than his actual trip.

(Brainilest, please :-)

4 0
3 years ago
If using the method of completing the square to solve the quadratic equation
SashulF [63]

Answer:

(5/2) ² or 25 /4

Step-by-step explanation:

x² - 5x - 18 = 0

x² -5x = 18

x² -5x + (5/2)²= 18 + (5/2)²

8 0
3 years ago
Write your answer in standard form. (6x+7) (x-8)
WITCHER [35]

Answer:

First one is d and second one is c

Step-by-step explanation:

(6x+7)(x-8)

(6x)(x) = 6x^2

(6x)(-8) = -48

(7)(x) = 7x

(7)(-8) = -56

Add all like terms together and you get choice d.

(w+3)(w-3)

(w)(w) = w^2

(w)(-3) = -3w

(3)(w) = 3w

(3)(-3) = -9

Add all like terms together and you get choice c

5 0
3 years ago
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Researchers would like to assess the overall health of white pine trees in a state park. Using a computer program,
Damm [24]

Answer:

The 100 trees checked for damage

Step-by-step explanation:

Edge 2021 says it correct

6 0
3 years ago
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Which one of the following characteristics of a solid is of concern to geometry?
Lyrx [107]
<span>The question says,'which one of the following characteristics of a solid is of concern in geometry. The correct option is C. This is because, geometry is an aspect of mathematics that deals wiht shape, size and properties of solids. It involves the visual study of shape and thier sizes in different positions in space.</span>
6 0
3 years ago
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