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DENIUS [597]
4 years ago
6

Which value below is included in the solution set for the inequality statement?

Mathematics
1 answer:
Luden [163]4 years ago
4 0

-3(x-4) > 6(x-1)\qquad\text{use distributive property}\\\\(-3)(x)+(-3)(-4) > (6)(x) + (6)(-1)\\\\-3x+12 > 6x-6\qquad|\text{subtract 12 from both sides}\\\\-3x > 6x-18\qquad|\text{subtract 6x from both sides}\\\\-9x > -18\qquad|\text{change the signs}\\\\9x < 18\qquad|\text{divide both sides by 9}\\\\x < 2

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Customers of a phone company can choose between two service plans for long distance calls. The first plan has a $24 monthly fee
JulsSmile [24]

Answer:

600 minutes

Step-by-step explanation:

If we write both situations as an equation, we get:

y1 = 24 + 0.15x

<em>y1 </em><em>:</em><em> </em><em>total </em><em>cost </em><em>paid </em><em>in </em><em>first </em><em>plan</em>

<em>x </em><em>:</em><em> </em><em>total minutes </em><em>of </em><em>calls</em>

y2 = 0.19x

<em>y2 </em><em>:</em><em> </em><em>total </em><em>cost </em><em>in </em><em>second </em><em>plan</em>

<em>x:</em><em> </em><em>total </em><em>min</em><em>utes </em><em>of </em><em>call</em>

We are now looking for the situation where the total cost in the two plans is equal, so

y1 = y2

this gives

24 + 0.15x = 0.19x

<=> 0.04x = 24

<=> x = 600

7 0
3 years ago
What is the cost of 12.6 gallons of gasoline if the price per gallon is $1.40?
12345 [234]
If

1 gallon = $1.40
12.6 gallons = $1.40 × 12.6

Plug those into your calculator and you'll get $17.64!
3 0
3 years ago
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39x38 multiply using partial prodcuts
yKpoI14uk [10]
39 x 10
= 390

39 x 40 (390 x 4)
= 1,560

39 x 2
= 78

1,560 - 78
= 1,482

ANSWER: 1,482
4 0
3 years ago
Hey help please math I need help good luck I’ll I’ve point
fredd [130]

Answer:

180 degrees

Step-by-step explanation:

180 degrees would flip the triangle halfway through a full circle. B is A upside down rotated halfway through a full circle.

7 0
3 years ago
How many solutions does y=−2x−4<br> y=3x+3 have<br><br> ​
Wewaii [24]

Answer:

There is one solution

8 0
3 years ago
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