Answer:
x>-4
Step-by-step explanation:
Divide by negative 4 on both sides, and since its a negative, you have to flip the inequality sign, so it comes out to be x> -4
Answer:
<em>56 adult tickets were sold</em>
Step-by-step explanation:
Ratio of ticket sold to Children and adult is in the ratio 4 : 7
Total ratio = 4 +7 = 11
Ratio of adult = 7
Total ticket sold = 88
Number of adult tickets sold = Ratio of adult/Total ratio * Total ticket sold
Number of adult tickets sold = 7/11 * 88
Number of adult tickets sold = 7 * 8
Number of adult tickets sold = 56 tickets
<em>Hence 56 adult tickets were sold</em>
Answer:
The equation of the line is: 
Step-by-step explanation:
Equation of a line:
The equation of a line has the following format:
In which m is the slope and b is the y-intercept.
Two points:
We have these following two points in this exercise:
x = -6, y = -3, so (-6,-3)
x = 4, y = 3, so (4,3)
Finding the slope:
Given two points, the slope is given by the change in y divided by the change in x.
Change in y: 3 - (-3) = 3 + 3 = 6
Change in x: 4 - (-6) = 4 + 6 = 10
So
Then
Finding b:
We replace one of the points in the equation to find b. I will use (4,3).
The equation of the line is:
Answer:
The umbrella will fit in, but there will be a lot of extra room.
Step-by-step explanation:
Remember the Pythagorean theorem:
x^(2) + y^(2) = n^(2)
where "x" and "y" are the legs of the right triangle and "n" is the hypotenuse
In this problem it is given that the sides (legs) are:
38in, and 24in
and diagonally across is 29in
so the hypotenuse is 29in
therefore we can form the equation:
38^(2) + 24^(2) = 29^(2)
without solving it is clear that
38^(2) + 24^(2) > 29^(2)
because 38 is a leg, but it is greater than 29, which means that 38 - 24 - 29 is not a Pythagorean triple,
but because 38 > 29, then the 29 in umbrella will fit into the suitcase, but it will not be a snug fit, there will be a lot of extra room
