Answer:
x = 11
Step-by-step explanation:
Given the expression;
5x+2y=67 ...1
x=3y−7 ....2
Substitute 2 into 1
5(3y-7)+2y = 67
15y - 35 + 2y = 67
17y = 67+35
17y = 102
y = 102/17
y =6
Recall that x = 3y - 7
x = 3(6) - 7
x = 18 - 7
x = 11
Hence the value of x is 11
You haven't provided any value, but I can tell you the solution set for the inequality.
First of all, expand both sides:

Add 3x to both sides:

Add 6 to both sides:

Which is of course equivalent to

Divide both sides by 9

So, every number smaller than 2 is part of the solution of this inequality.
Answer:
I think its A
Step-by-step explanation:
I factored the polynomial and its factors turned out to be (x-1)(x^2-2x-4), which eliminated the possibilities of 2 and 3. Then i replaced the (-1) in the place of the x and it turned out to be equal to 2, making the first statement true.
Answer:
30°
Step-by-step explanation:
RUT= RST ----since they both stand on common arc TR
Thus, RST = 30°
Answer:
Weight of dog: 34 pounds,
Weight of cat: 12 pounds.
Step-by-step explanation:
Let d represent weight of dog and c represent weight of cat.
We have been given that a dog weighs two pounds less than three times the weight of a cat.
3 times weight of cat: 
We can represent the given information in an equation as:

We are also told that the dog also weights twenty-two more pounds than the cat. We can represent the given information in an equation as:

Equate both equations:






Therefore, the weight of cat is 12 pounds.
Substitute
in equation (2)



Therefore, the weight of dog is 34 pounds.