We can create a system of equations with the information we know.
J = 4L
J + L - 6 = 64
The first equation is pretty self-explanatory. Jack is 4 times as old as Lucy. The second equation is just adding their ages together. We subtract 6 because the sum of their ages was 64 three years ago. Three years ago, both Jack and Lucy were 3 years younger (total of 6).
Substitute 4L in for J in the second equation and solve.
4L + L - 6 = 64
5L = 70
L = 14
If Lucy is 14, then Jack is 14*4 = 56.
<span>What is the mode of the data set?: 61 (It's the one that repeats most often.)
Mean: 141.5 to find the mean add all of the the numbers then divide by how many numbers are there.
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The general equation of a circle, with radius R and center (h, k) is:
Using the data given, the equation would be:
Since it’s $80 for 5 tickets, we divide 80/5 to get the price of one ticket, giving us
C = 16*n.
Plug in 5 for n and you’ll get 80
A highway runs east-west between two towns C and B that are 25 km apart. Town A lies 15 km directly north from C. A straight road is built from A to meet the highway at D which is equidistant from A and B. Find position of D on the highway.
find distance AB
Using Pythagorian
AB^2 = 15^2+ 25^2
then find Point M which is midpoint of AB
AM=MB= 1/2 (AB)
now take a look at the right triangle ABC
tan(