Answer:
yes he did make it, when he left at 17:00 he had 3:00 hours to make it to the party. if you divide 200/80=2.5 meaning he's able to make it in 2.5 hours.
Answer:
6 mile/hour
Explanation :
Let the speed of walking of James = x mile/hour
speed of jogging = 2x mile/hour
9/2x + 1.5/x = 2
= > (9 + 3)/2x = 2
= > 12 = 4x
= > x = 3
Average speed of walking = 3 mile/hour
Average speed of jogging = 2 * 3 = 6 mile/hour
Answer:
option 4
Step-by-step explanation:
(f*g)(x) =(x² + x+ 1)*(x² - x -1)
= x²*(x² - x -1) + x(x² - x -1) + 1*( x² - x -1)
= x²*x² - x²*x -x²*1 + x*x² - x*x -x*1 + x² - x -1
= x⁴ - x³ - x² +x³ - x² - x + x² - x -1
= x⁴ - x³ + x³ - x² - x² + x² - x - x - 1
= x⁴ - x² - 2x - 1
There are many ways to check if the point (1,3) is a solution to the linear equation 
.
Let us check it by expressing y in terms of x.
The given expression is 5x-9y=32. If we add -5x to both sides we will get:
Multiplying both sides by -1 we will get:
In order to isolate y, we will divide both sides by 9 to get:
Now let us plug in the given value of x=1 from the point (1,3). This should give us y=3. Let us see if we get y=3 when we plug x=1 in the above equation.
Thus, we see that when x=1, y=-3 and that 
and hence we conclude that the point (1,3) is not a solution to the original given linear equation 5x-9y=32.
For a better understanding of the explanation given here a graph has been attached. As can be seen from the graph, (1,3) does not lie on the straight line that represents 5x-9y=32, but (1,-3) does lie on it as we had just found out.
Answer:
7/8
Step-by-step explanation:
Sphere A has a radius of 24 centimeters, and sphere B has a diameter of 42 centimeters.
WE need find which factor is multiplied with radius of sphere A to produce the radius of sphere B
Diameter of sphere B is 42
Radius = diameter /2
Radius = 42/2= 21
Radius of sphere B = 21
RAdius of sphere A times x= radius of sphere B
24 * x= 21
Divide by 24 on both sides
x= 21/ 24
divide top and bottom by 3
x= 7/ 8
