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disa [49]
3 years ago
14

What values of x satisfy this inequality? 6x + 2 > 26

Mathematics
1 answer:
GenaCL600 [577]3 years ago
6 0

6x+2>26\\\\\implies 6x > 26 -2\\\\\implies 6x >24\\\\\implies x> \dfrac{24}6\\\\\implies x > 4 \\\\\text{Interval,}~ ( 4,\infty)

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The bill at a restaurant came to $136.40.The customer decided to leave a 15% tip.What was the total bill including tip.
hjlf

Answer:

$156.86

Step-by-step explanation:

To calculate tip, you need to multiply the total bill by the percent tip you are going to leave. In this case the bill is $136.40, and the customer is going to leave a 15% tip. So, you would want to move the decimal place over to the left by 1, which you should get 13.64 as your number. Then divide it in half, which should give you 6.82. Now add 13.64 and 6.82 with the original bill price. If you don't add the 13.64 you would've forgotten the 10% part of the tip. At the end you should get $156.86 as your final bill.

4 0
3 years ago
A ship leaves port on a bearing of 34.0 and travels 10.4 mi. the ship then turns due east and travels 4.6mi. how far is the ship
Natasha2012 [34]
A bearing of 34° corresponds to corresponding angle of θ=90-34=56°
The (x,y) values for the position of the ship after completing its first heading are:
x=(10.4cos 56)
y=(10.4sin56)

The trigonometric angle for θ=90-90=0
The (x,y) values for the postion of the ship after completing the second bearing is:
x=(10.4 cos56)+(4.6cos0)≈10.4 mi
y=(10.4sin56)+(4.6sin0)≈8.6mi

the distance from the port will therefore be:
d=√(10.4²+8.6²)≈13.5 miles

It trigonometric angles is:
θ=arctan(y/x)
θ=arctan(8.6/10.4)
θ≈39.6°
Thus the bearing angle is:
90-39.6=50.4°
6 0
4 years ago
a system of equations has infinitely many solutions. if 2y – 4x = 6 is one of the equations, which could be the other equation?
deff fn [24]
<span>A system of equations has infinitely many solutions when the two lines representing the equations coincide. i.e. the two equations are the same or a multiple of each other.
2y - 4x = 6
2y = 4x + 6
2y = 2(2x + 3)
y = 2x + 3
-y = -(2x + 3)
-y = -2x - 3
Hence the other equation is -y = -2x - 3</span>
4 0
3 years ago
Read 2 more answers
Which situation is an example of an observational study?
Ymorist [56]

Answer:

it finding the number of jelly beans

Step-by-step explanation:

6 0
3 years ago
Express the fractions 3/4 ,7/16 and 5/8 with the lowest common denominator
xxTIMURxx [149]
3/4, 7/16, 5/8.....LCD = 16

3/4 = 12/16
7/16
5/8 = 10/16
4 0
3 years ago
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