Based on the distance travelled and the time taken, the speed of the train was <u>150 km/h</u>
Speed can be calculated by the formula:
<em>= Distance / Time </em>
Distance = 600 km
Time = 4 hours
Solving will give:
= 600 / 4
= 150 km/ h
In conclusion, the train was going at 150 km/h
<em>Find out more on speed at brainly.com/question/3004254</em>
There are 45 green beads
<em><u>Solution:</u></em>
Let the number of red beads be "x"
Given that, Carrie has 3 times as many green beads as red beads
Number of green beads = 3 times number of red beads
Number of green beads = 3x
<em><u>She 2 as many blue beads as green beads</u></em>
Number of blue beads = 2 times the number of green beads
Number of blue beads = 2(3x) = 6x
<em><u>She has 150 total</u></em>
Therefore,
Number of red beads + Number of green beads + Number of blue beads = 150
x + 3x + 6x = 150
10x = 150
x = 15
Thus, number of green beads = 3x = 3(15) = 45
Thus there are 45 green beads
Answer:
B is correct
Step-by-step explanation:
The person is mentioned is Phil. His amount of money and number of miles are proportionally related (Clark's amount of money and number of miles are not proportionally related due to initial donation)
For Phil, y = ax is his model.
Look into the graph, we can see there is a point where y = 30 and x = 4.
Then rate = 30/4 = 7.5
First of all, recall the definition of absolute value:
So if <em>x</em> < 4, then <em>x</em> - 4 < 0, so |<em>x</em> - 4| = -(<em>x</em> - 4), and the first case in <em>h(x)</em> reduces to
Next, in order for <em>h(x)</em> to be continuous at <em>x</em> = 4, the limits from either side of <em>x</em> = 4 must be equal and have the same value as <em>h(x)</em> at <em>x</em> = 4. From the given definition of <em>h(x)</em>, we have
Compute the one-sided limits:
• From the left:
• From the right:
If the limits are to be equal, then
-1 = 5<em>k</em> - 16
Solve for <em>k</em> :
-1 = 5<em>k</em> - 16
15 = 5<em>k</em>
<em>k</em> = 3
