6-by=19
minus 6 from both sides
-by=19-6
-by=13
divide both sides by -b
y=13/-b
y=-13/b
-6(1+7x)+7(1+6x)=-2
This is False.
Use distributive property:
-6 -42x + 7 +42x = -2
Combine like terms to get:
1 = -2
Since 1 is not -2, it is false.
So 45 more chocolate stars were sold compared to chewy squares, which makes it a ratio of 3:8, hence we can assume that (45÷5=9) is the amount sold for each ratio.
If you multiply 9 by (3+8=11), you will get 99.
Answer:
Step-by-step explanation:
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Answer: The first option:
x ≤ -2 and 2x ≥ 6
Step-by-step explanation:
A compound inequality will have no solution if the inequalities are contradictory.
An example of this would be:
x > 3 and x < 1
There is no value of x that is at the same time larger than 3, and smaller than 1.
Now, let's analyze the options.
1) x ≤ -2 and 2x ≥ 6
This has no solution, because if x ≥ -2, the maximum value that x can take is x = -2
Replacing that in the other inequality we get:
2*(-2) > 6
-4 > 6
This is false, then this compound inequality has no solution.
2) x ≤ -1 and 5*x < 5
This ineqalty has infinite solutions, one can be x = -2
-2 ≤ -1 and 5*(-2) < 5
are both true.
3) x ≤ -1 and 3x ≥ -3
A solution for this can be x = -1
-1 ≤ -1 is true
3*(-1) ≥ -3
-3 ≥ -3 is true.
Then we have at least one solution here.
4) x ≤ -2 and 4x ≤ -8
Here we have infinite solutions, one can be x = -10
-10 ≤ - 2 is true
4*(-10) ≤ -8
-40 ≤ - 8 is also true.
Then the only option that has no solutions is the first one.
