1. In 1983 the composition of pennies in the United States was changed due, in part, to the rising cost of copper. Pennies minted after 1983 weigh 2.30 grams while the earlier copper pennies weigh 3.01 grams.

A roll of pennies contains 50 coins. If a particular roll of pennies weighs 133.46 grams, how many of the old heavier pennies and how many of the new lighter pennies does this roll contain? (LT#4.12)

x + y = 50

2.3x + 3.01y = 133.46

Suppose you weigh a roll of pennies on a scale which only reads the weight to the nearest gram. The scale says that the roll of pennies weighs 143.40 grams. What can you conclude about the pennies in this roll? (LT#4.12/4.14)

2. Using technology, construct a system of two linear equations where (-2,3) is a solution to the first equation but not to the second equation, and where (-2,7) is a solution to your second equation but not your first and they have no solutions in common. Write your system of equations and explain how your graph shows that your system satisfies the required conditions. (LT#4.15)

3. All the horses and cows in a pasture have a total of 50 heads and 200 legs.

The system of equations for this would be, when x = # of horses and y = # of cows

Find a solution to the system and write a sentence interpreting the solution? (LT#4.15)

x + y = 50

4x + 4y = 200

desmos can help

its c or d   take a lucky guess my dude

answer: ratio of volume of cone (with 3 times the height and equal diameter) to volume of cylinder is 2 to 1. the value of π is not used.

step-by-step explanation:

radius is diameter/2 = 4.

area of circle is π r^2.

volume of cylinder is height × area of base = hπr^2 = 3(4^2) π = 48π cubic inches.

not knowing the formula for volume of cone, i calculate it using calculus (which is for calculating things).

volume of cone is integral 0 to h area(y) dy. area(y) is π r(y)^2. r(y) runs r to zero as y runs zero to h, r(0) = r, r(h) = 0.

r(y) = r - r/h y

area(y) = π (r - r/h y)^2 = π (r^2 - 2r^2y/h + r^2y^2/h^2) = π r^2(1-2y/h+y^2/h^2)

antiderivative area(y) = π r^2 (y-y^2/h+y^3/(3h^2))

integral 0 to h = π r^2(h-h^2/h+h^3/(3h^2) - (0)) = π r^2(h - h + h/3) = π r^2(h/3) = π/3 r^2 h

volume of this cone is π/3(4^2)18 cubic inches.

= 6 16 π = 96π cubic inches.

cone has twice the volume, 96/48.

cone height is 6 times the cylinder.

ratio of volume formula: π r^2 cancels.

cone over cylinder ratio is 6h/3 to h, 2 to 1.

the answer would be d

straight away you can eliminate a and c because not all books contain a scientific skill because some may be fiction. c is also wrong because it saids that the only way children can learn is through books which is incorrect.

b is also wrong because reading can be a scientific skill but not always, therefore it is wrong which leaves you with d, the correct answer since it said that it can children learn.

hope this ! : 3

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