First, let's solve the inequality:
<span>x - 3 < -9
//add 3 to both sides:
x<-6
the second inequality:
x + 5 ≥ 10</span>
//substract 5 from both sides:
<span>x ≥ 5
So we need to map:
</span>
<span>x<-6
</span><span>x ≥ 5
Now, shading will be to the leftof -6 and to the right of 5 - this is compatible with answers A and B.
A closed circle means that the number is included, so the correct answer is A!</span>
3x + y = 2
subtract 3x from both sides --> y = 2 - 3x
place in y = mx + b format --> y= -3x + 2
+2 is the y-intercept, go to +2 on the y-axis.
-3, means go down 3 and right 1
Your answer should be B.
Hey there!
There's multiple ways to express this problem, but I like to do ratios, so we'll go with that. If you prefer fractions, the first number of a ratio is the same as the numerator of a fraction and the second number is the same as the denominator.
The ratio of this problem is 4:448. This basically means there will be 448 miles per 4 inches. This ratio can be simplified by dividing by 4 to make it 1:112. Applying the same logic, there are 112 miles per inch.
112 miles per 1 inch should be your answer. Hope this helped you out! :-)
The quotient is approximately a little more than ...
... 32000/500 = 64
The actual quotient is 65 249/488 = 65.5102...
Answer:
1. gcd(77,30)=1
Since 1 is the last non zero remainder appearing in these equations then, 1 is the gcd of 77 and 30.
2. u=-11, v=18
Using the Euclidean Algorithm we have that
Now, we express the remainder as linear combinations of 49 and 30.
Then 
3. x=18
If 
then
for some 
.
Then, if k=7,
