Answer:
The weight of the larger marble paperweight is 4.05 lb
Step-by-step explanation:
we know that
If two solids are similar, then the ratio of its weights (or volumes) is equal to the scale factor elevated to the cube
Remember that the scale factor is the ratio between corresponding sides
Let
z ------> the scale factor
x -----> the weight of the larger marble paperweight
y -----> the weight of the original marble paperweight

In this problem we have


substitute and solve for x


therefore
The weight of the larger marble paperweight is 4.05 lb
(x+5)(x-5) (cancels out the middle Nx factor)
(x+5)(x+5)
Any sum over 6 or more is likely to be rolled than a sum smaller than 6 because there is more of a probable chance to roll two dice with three or higher compared to rolling three or lower. of course this is theoretical probability, not experimental probablility ( physically rolling dice.)
Answer:
The y intercept of the line is 2
Step-by-step explanation:
The graph is not a straight line
the slope of the line is -12 not 12
the y intercept is usually known as c in the equation y=mx+c
and our c is 2
Hence y intercept is 2
Answer:
40
Step-by-step explanation:
To solve this, we can create an equation that represents this situation. Since Christopher score 7 more than twice what Mathew scored, the equation will be:
C = 2M + 7
(Variables are representative of the first letter of each name)
Seeing as Christopher scored 87, we can put that into the equation and solve for M.
So, the equation will be:
87 = 2M + 7
Subtract 7 from both sides in order to isolate variable M on the right side.
80 = 2M
Now solve for M, which is 40 (divide both sides by 2).