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fomenos
3 years ago
10

How to solve inequaities?

Mathematics
1 answer:
Elza [17]3 years ago
3 0

-3(-8+5m) > 5(6-3m)\qquad|\text{use distributive property}\\\\(-3)(-8)+(-3)(5m) > (5)(6)+(5)(-3m)\\\\24-15m > 30-15m\qquad|\text{add 15m to both sides}\\\\24 > 30\qquad FALSE\\\\\text{Therefore your answer:}\ \boxed{NO\ SOLUTION}\to m\in\O

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In a game the player wins if he rolls a 6 on a number cube.
MakcuM [25]

Answer:

Percent chance of winning  = A / (A +B) = 1 / (1 +6)  * 100 = 14.29 %

Step-by-step explanation:

3 0
3 years ago
On a map,1 inch equals 10 miles. Two cities are 8 inches on the map. What is the actual distance between the cites?
Zinaida [17]

Answer:

if 1 in= 10 miles, then, 8 in= 80 miles

Step-by-step explanation:

8 0
3 years ago
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15PTS!!!! HELPPPP!!! Determine the length of fencing around an 80 m by 170 m rectangular playing field if fence is to be 25 m ou
marshall27 [118]
Perimeter=2L+2W, in this case L=80+2(25) and W=170+2(25) so

P=2(L+W)=2(80+50+170+50)

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5 0
3 years ago
A time/motion word problem
andriy [413]
The two planes are flying on the two legs of a right triangle.
The straight distance between them is the hypotenuse of the triangle.

Since the speeds are in mph, let's work the time in hours.
Call the time 'H' that we're looking for.
It's the number of hours after they both take off that they're 650 miles apart.

After 'H' hours, the first plane has gone 500H miles north.
After 'H' hours, the second plane has gone 1200H miles east.
After 'H' hours, they are 650 miles apart.

Do you remember this for a right triangle ? ==>    A² + B² = C²

(500H)² + (1200H)² = (650)²

250,000H² + 1,440,000H² = 422,500

1,690,000 H² = 422,500

H² = (422,500) / (1,690,000) = 0.25

H = √0.25 = 1/2 hour = 30 minutes
3 0
3 years ago
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You have two exponential functions. One function has the formula g(x) = 5 ^x . The other function has the formula h(x) = 5^-x .
Shkiper50 [21]
We are given with two functions here: h(x) is 5^-x and g(x) is 5^x . we are asked in the problem to determine the value of the expression (g-h)(x). In this case, we just have to employ subtraction to the given functions. That is 

(g-h)(x) = 5^x - 5^-x
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             = (5^2x -1)/5^x


 
4 0
3 years ago
Read 2 more answers
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