Jasmine is 5 years younger than twice her sister's age. if the sum of jasmine and her sister's age is 61, how old are the girls?

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

1. is 4 and 2. is 3

step-by-step explanation:

so if you look at the first one you see that 1 is to 4 and 2 is to 8 and so on, so you can see for every 1 there is a times 4 so if it were 3 then it would be 3*4 and it is 12

for number 2 it is 3 because 1 is to 3 and 2 is to 6 so for every 1 there is 3 so if it were 3 then there would be 3*3 = 9

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below: