Answer: Phil has 33 dimes, and 17 nickels
Step-by-step explanation:
Let number of nickels be X, and dimes be Y.
X + Y = 50.
Since nickels stand for 5 cents, or 0.05 dollars, and dimes are 10 cents, or 0.10 dollars, we can also write the total worth as:
0.05*X + 0.10*Y = 4.15
Multiply this last equation by 20:
20*0.05*X + 20*0.10*Y = 20*4.15
Simplify:
X + 2*Y = 83
Subtract the first equation (X + Y = 50) from this one:
Y = 33.
Thus Phil has 33 dimes, and 17 nickels.
12 cents because 3/2 hens make 3/2 of an egg for 3/2 cents. Multiplying each part of the equation by 2/3 means you get 1 hen = 1 egg = 1 cent. Since there are twelve eggs in a dozen, you pay 12 cents.
Answer: OPTION A.
Step-by-step explanation:
You know that the rule that will be used for the translation of the figure ABC is:
→
You can observe in the figure that the coordinates of the point A is this:
Then, in order to find the coordinates that will best represent point A', you need to subtract 3 from the x-coordinate of the point A and add 4 to the y-coordinate of the point A:
Answer:
Step-by-step explanation:
Surface area = 2(12 × 8) + 2(12 × 3) + 2(3 × 8) = 312 in²
Answer:
f(4) = -10
g(2) = 30
Step-by-step explanation:
