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pentagon [3]
3 years ago
13

6n-3>-18 please show work

Mathematics
2 answers:
maxonik [38]3 years ago
6 0
First off, add 3 to both sides of the equation.
6n - 3 + 3 > -18 + 3
Then, your equation should look like this: 6n > -15
Next, divide both sides by 6.
6n/6 > -15/6
Your answer is n > -5/2
kolezko [41]3 years ago
4 0
Your answer : n > -\frac{5}{2}


How I FOUND my answer ↓


Rearrange⇒ 6 × n- 3 - (-18) > 0 

Take out the like terms ⇒ 6n + 15 = 3 × (2n + 5)

Divide both sides by  3 and 2 

n + (\frac{5}{2} ) > 0

Then subtract both sides by -\frac{5}{2} ⇒ n -\frac{5}{2} 

Lastly, 6.000 x + 15.000 > 0


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A sign standing 6 feet tall is situated 18 feet away from a flag pole. at a certain time of day the sign's shadow is 3 feet long
alexdok [17]
Observe attached picture.

On picture we have:
A = height of flagpole = x ft
B = length of flagpole's shadow = 24 ft
C = height of sign = 6 ft
D = length of sign's shadow = 3 ft

When we draw a picture representing this problem we can also add another line marked in red. This way we can see that we have two right-angle triangles. We can see that both have same angle marked with α.

We can apply trigonometry rules to find height of flagpole.

From small triangle containing sign we can find tangens function:
tan \alpha = \frac{C}{D}
Similarly we can do for large triangle containing flagpole:
tan \alpha = \frac{A}{B}

We see that these two equations have same left sides. This means that their right sides must also be same:
\frac{C}{D} = \frac{A}{B}
We can solve for A:
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8 0
3 years ago
Which expression gives the distance between the points (-3,4 and (6,-2)
krok68 [10]

Answer:

10.8

Step-by-step explanation:

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d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

We then substitute (-3,4) as (x_1,y_1) and (6,-2) as (x_2,y_2).

d=\sqrt{(6--3)^2+(-2-4)^2} \\d=\sqrt{(9)^2+(-6)^2} \\d=\sqrt{81+36}\\d=\sqrt{117}=10.8

8 0
3 years ago
I need help with making predictions with probability please help me correctly answer these questions.
Semmy [17]

Answer:

1. So the porpotion should be 25/100 = x/120

You have this because you know that 25% of the dogs who go to ABC veterinarian need a rabies booster. So 100% of the dog should be 120 dogs, and now our job is to find how many dogs make up 25% percent of the total number.

According to our porpotion, we have:

(120 . 25)/100 = 30 (dogs)

Another way of understanding this is that you have to find 25% of the total amount, so just take that total number and multiply it with 25% or 25/100 which is 0.25 as well, that's why we multiply it with 25 first and then divide it to 100 later.

2.

*I guess there is no need of explaining it

0.9 × 550 = 495

6 0
3 years ago
How long will it take Carlos to walk 12 miles if he is walking 4 mph?
notsponge [240]
12 miles/ 4mph = 3 hours 

in min = 180

hope that helps

4 0
3 years ago
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