The Least Common Multiple (LCM) must be the same or bigger than the biggest
1 answer:
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Answer:
The number of U.S stamp he has is <u>120</u>.
Step-by-step explanation:
John has us and foreign stamps in his album. the ratio of the number of U.S stamps to foreign stamps is 5:2.
After Paul gives him 12 foreign stamps the ratio becomes 2:1.
Now, to find the number of U.S stamps.
Let the U.S stamps be
And the foreign stamps be
Now, to solve by using cross multiplication method:
<em>So, the ratio is:</em>
By cross multiplying we get:
<em>Dividing both sides by 2 we get:</em>
......(1)
Now, after Paul gives him 12 foreign stamps the ratio becomes:
<em>By cross multiplying we get:</em>
Putting the value of as we get in above equation (1):
<em>Multiplying both sides by 2 we get:</em>
<em>Subtracting both sides by 4y we get:</em>
The number of foreign stamps = 48.
Now, to get the number of U.S stamps by putting the value of in equation (1):
Therefore, the number of U.S stamp he has is 120.
Answer:
Step-by-step explanation:
Cm : km
1 : 2.3
x : 69 Cross multily
2.3x = 69
x =
x = 30cm
the distance between the two towns on the map is 30cm
Answer:
1.5 seconds.
Step-by-step explanation:
The height of ball modeled by the equation:
where, t is time in seconds.
The leading coefficient is negative, it means the given function is a downward parabola and vertex of the downward parabola is the point of maxima.
If a parabola is defined by , then the vertex of the parabola is
In the given equation, a=-16, b=48 and c=100.
Vertex of the given parabola is (1.5,136).
Therefore, the maximum height of ball is 136 ft after 1.5 seconds.