Answer:
Slope:
y-intercept:-2
Step-by-step explanation:
Answer: She has 40 nickels and 40 quarters .
Step-by-step explanation:
Let be "n" the number of nickels Theresa has and "q" the number of quarters Theresa has.
You know that she has a total of $12 in nickels and quarters. In cents, this is:
Then, based on this you can write the following expression:
Since 
, you can rewrite it as:
Solving for "n", you get:
Therefore she has 40 nickels and 40 quarters .
Answer:
6 ounces
Step-by-step explanation:
Let x = the number of ounces of the 15% alcohol solution needed to be mixed with the 4 ounces of 20% alcohol solution to obtain the 17% alcohol solution.
After converting the percentages to their decimal equivalents, set up the necessary equation as follows:
0.15x+0.20(4) = (x+4)(0.17) Simplify and solve for x.
0.15x+0.8 = 0.17x+0.68 Subtract 0.15x from both sides.
0.8 = 0.02x+0.68 Now subtract 0.68 from both sides.
0.12 = 0.02x Finally, divide both sides by 0.02
x = 6
You need to mix 6 ounces of 15% alcohol solution with 4 ounces of 20% alcohol solution to obtain 10 (x+4)ounces of 17% alcohol solution.
Answer:
Suppose that the wholesale of a bike is A (A is the 100% in this case). If we have an increase of 30% for the sale price, we have the new price of:
Price = A + (30%/100%)A = A + 0.3*A = (1.3)*A
Then if we know that the price tag of the bike is $125, then we have:
$125 = (1.3)*A
$125/1.3 = A = $96.15
The wholesale cost of the bike is $96.15
Answer:
82%
Step-by-step explanation:
41+9 is 50(total marbles)
41/50 (blue/total) is 82%! :)
