If math students typically earn 24 points out of 35 possible on a test, how many points would be typical if there were 100 possi
1 answer:
Answer:
68.6
Step-by-step explanation:
Given the initial ratio of 24 points out of 35 possible points, you can set up a proportion (equivalent ratios) to find the expected number of points math students would ear on a test of 100 possible points:
Where 'x' is the number of points earned on the 100 point test.
Cross-multiply: 35x = 24(100) or 35x = 2400
Divide both sides by 35: 35x/35 = 2400/35
Solve for x: x = 68.6
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Answer:
meters.
Step-by-step explanation:
We have been given Mr. Mole left his burrow and started digging his way down at a constant rate.
We are also given a table of data as:
Time (minutes) Altitude (meters)
6 -20.4
9 -27.6
12 -34.8
First of all, we will find Mr. Mole's digging rate using slope formula and given information as:
, where,
represents difference of two y-coordinates,
represents difference of two corresponding x-coordinates of y-coordinates.
Let be
and
be
.
Now, we will use slope-intercept form of equation to find altitude of Mr. Mole's burrow.
, where,
m = Slope,
b = The initial value or the y-intercept.
Upon substituting and coordinates of point
, we will get:
Since in our given case y-intercept represents the altitude of Mr. Mole's burrow, therefore, the altitude of Mr. Mole's burrow is meters.