Answer:
jasmine is 39, her sister is 22
Step-by-step explanation:
let j be jasmine's age and s be her sister's age. we can set up these two formulas:
2s - 5 = j
j + s = 61
replace j in the second formula with 2s - 5:
2s - 5 + s = 61
simplify: 3s - 5 = 61
add 5 to each side: 3s = 66
divide each side by 3: s = 22
now replace s with 22 in the first formula:
2(22) - 5 = j
multiply: 44 - 5 = j
subtract: 39 = j
Step 1) Set up a proportion
Proportion: percent / 100 = x / number
In context of the problem, the proportion is: 40 / 100 = 10 / number
Step 2) Cross-multiply and solve
100 x 10 = 40 x N
1000 = 40N
N = 25
Answer: The number is 25
In order to make this easier, let us convert the fraction into a mixed number. 2 2/3 would become 8/3. Now, let us divide 8 pints by 8/3 cups and we get 24/8 or 3 cups. Therefore, the amount of water that Cary has to use when she makes barbecue sauce with 1 pint of tomato is 3 cups.
9514 1404 393
Answer:
f(x) = -1/2·10^x
Step-by-step explanation:
The y-intercept is -1/2.
The common ratio is (-1/20)/(-1/200) = 10, so the exponential function can be written as ...
f(x) = -1/2·10^x
Answer:
7.2 million dollars
Step-by-step explanation:
The domain of the function the complete set of possible values of the independent variable. In this case the domain includes all real numbers except 189.
From;
T(p) = 0.50 (p - 189)
When p = 203.4 million dollars
T(p) = 0.50 (203.4 - 189)
T(p) = 7.2 million dollars