Answer:
g < 10
Step-by-step explanation:
-6g + 3g + 12 > -18
Combine like terms
-3g +12 > -18
Subtract 12 from each side
-3g+12-12 > -18-12
-3g > -30
Divide each side by -3, remembering to flip the inequality
-3g/-3 < -30/-3
g < 10
Answer:
84 cups of water will leak out after 2 weeks
Step-by-step explanation:
* Lets how many how to change oz to cup
- One cup contains 8 oz
- We can use the ratio to solve this problem
- A hose is leaking water at a rate of 2 oz/h
- We need to find how many cups of water will leak out after 2 weeks
∵ The rate of the water leak out is 2 oz/hr
∵ 1 cup contains 8 oz
∴ 1 oz =
cup
∴ 2 oz = 2 ×
=
=
cup
∴ The rate of the water leak out =
cup/h
∵ 1 day = 24 hours
∵ 1 week = 7 days
∴ 1 week = 7 × 24 = 168 hours
∵ The number of hours in 1 week is 168
∴ The number of hours in 2 weeks = 168 × 2 = 336 hours
⇒ cups : hours
⇒
: 1
⇒ x : 336
- By using cross multiplication
∴ x = 336 × 
∴ x = 84
- x represents the number of cups of water leak out
<em>84 cups of water will leak out after 2 weeks</em>
Q. How many triangles can be constructed with sides measuring 5 m, 16 m, and 5 m?
Solution:
Here we are given with the sides of the triangle as 5m, 16m and 5.
As the Triangle inequality we know that
The sum of the length of the two sides should be greater than the length of the third side. But this inequality fails here.
Hence no triangle can be made.
So the correct option is None.
Q.How many triangles can be constructed with sides measuring 6 cm, 2 cm, and 7 cm?
Solution:
Here we are given with the sides of the triangle as 6m, 2m and 7m.
As the Triangle inequality we know that
The sum of the length of the two sides should be greater than the length of the third side. The given values follows the triangle inequality.
Hence one triangle can be formed.
So the correct option is one.
Answer:
A and B are correct
Step-by-step explanation:

Negative multiply negative = Positive
Negative multiply positive = negative

Thus the answer is -4a + 16b - 12c - 12d.