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stealth61 [152]
3 years ago
15

-17 = 1 + 6n + 3n what is n

Mathematics
2 answers:
tino4ka555 [31]3 years ago
6 0
N= -2
First add 6n + 3n = 9n and then subtract 1
Mashcka [7]3 years ago
4 0

Answer:

n = -2

Step-by-step explanation:

-17 = 1 + 6n + 3n

Combine like terms

-17 = 1 +9n

Subtract 1 from each side

-17-1 = 1-1+9n

-18 = 9n

Divide each side by 9

-18/9 = 9n/9

-2 =n

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Before a basketball game a referee noticed that the ball seemed under inflated. She dropped it from 6 feet and measured the firs
deff fn [24]

Answer: a) H = h( 0.5 )^n

b) H = 1.125inches

Step-by-step explanation:

Let H = height of the ball

n = number of time the ball bounces

h = initial height.

The exponential function to model the height of the ball will be:

H = h( 1 - 0.5)^n

H = h( 0.5 )^n

It's minus because the height of the ball is decreasing.

h = 36 inches

n = 5

H = 36( 1 - 0.5 ) ^5

H = 36( 0.5 )^5

H = 36 × 0.03125

H = 1.125inches

7 0
3 years ago
Determine dois números ímpares consecutivo cujo produto seja 195
miv72 [106K]
Let 1st integer  = xLet 2nd integer = x + 1 We set up an equation. x(x + 1) = 195 x2 + x = 195 x2 + x - 195 = 0

We will use the quadratic formula: x = (-b ± √(b2 - 4ac) / (2a) x = (-1 ± √(1 - 4(-195))) / 2 x = (-1 ± √(781)) / 2 x = (-1 ± 27.95) / 2 x = 13.48x = -14.78 
<span>We determine which value of x when substituted gives us a product of 195.</span> 13.48(14.48) = 195.19-14.48(-13.48) = 195.19 <span>The solution is 2 sets of two consecutive number</span> <span>Set 1</span> The 1st consecutive integer is 13.48The 2nd consecutive integer is 14.48 
<span>Set 2</span> The 1st consecutive integer is -14.48The 2nd consecutive integer is -13.48Hopefully this helped, hard work lol :)
8 0
3 years ago
A card is Chosen at random from a deck of 52 cards it is replaced and a second card is chosen what is the probability both cards
ankoles [38]
There are 4 aces in a deck of 52 cards. the odds of drawing one is 1/13. the probability of doing it again is still 1/13. the odds of doing it twice, as described, is then 1/13 * 1/13, or (1/13)², or 1/169 option A
6 0
3 years ago
Read 2 more answers
adam drove 280 miles in 4 hours . on average, how fast did he drive in hours per mile ? Express your answer in simplest form
Ivan

Answer:

Step-by-step explanation:

\frac{4 hours}{280 miles}

\frac{1 hour}{70 miles}

5 0
3 years ago
At the zoo tje ratio of snakes to lizards is 3:2 A. If there were 10 lizards ,how many snakes would be there be? B.If there were
yawa3891 [41]

Answer:

Part A) 15\ snakes

Part B) 6\ lizards

Part C) The zoo would need to get four more lizards to maintain the same proportion

Part D) 12 snakes and 8 lizards

Step-by-step explanation:

Part A) If there were 10 lizards ,how many snakes would be there be?

Let

x ---> the number of snakes

y ---> the number of lizards

\frac{x}{y}=\frac{3}{2} ----> equation A

we have that

y=10\ lizards

substitute the value of y in the equation A

\frac{x}{10}=\frac{3}{2}

solve for x

x=10(3)/2\\x=15\ snakes

Part B) If there were 9 snakes ,how many lizards would there be?

Let

x ---> the number of snakes

y ---> the number of lizards

\frac{x}{y}=\frac{3}{2} ----> equation A

we have that

x=9\ snakes

substitute the value of x in the equation A

\frac{9}{y}=\frac{3}{2}

solve for y

y=9(2)/3\\y=6\ lizards

Part C) If the number of snakes in the zoo is increased by 6, how many more lizards would the zoo need to get to keep the same ratio?

Let

x ---> the number of snakes

y ---> the number of lizards

\frac{x}{y}=\frac{3}{2} ----> equation A

For x=6\ snakes

substitute the value of x in the equation A

\frac{6}{y}=\frac{3}{2}

solve for y

y=6(2)/3\\y=4\ lizards

therefore

The zoo would need to get four more lizards to maintain the same proportion

Part D) If the total number of snakes and lizards at the zoo was 20, how many snakes and lizards would there be?

Let

x ---> the number of snakes

y ---> the number of lizards

\frac{x}{y}=\frac{3}{2}

isolate the variable x

x=1.5y ----> equation A

x+y=20 ----> equation B

solve the system by substitution

substitute equation A in equation B

1.5y+y=20

solve for y

2.5y=20

y=8\ lizards

Find the value of x

x=1.5(8)=12\ snakes

therefore

12 snakes and 8 lizards

8 0
3 years ago
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