Answer:
Joe is 14.
Martha is 28.
Step-by-step explanation:
Use the variables and information from the question to make equations.
If Joe's age is half Martha's:
(1/2)m = j OR 2j = m
If their ages combined is 42:
m + j = 42
We can substitute the equation m=2j into equation m + j = 42, replacing "m".
m + j = 42 Substitute m for 2j
2j + j = 42 Combine like terms, terms with same varables
3j = 42 Divide both sides by 3 to isolate j
j = 14 Joe's age
Since j = 14, we can substitute it into equation m=2j to find "m".
m = 2j Substitute j for 14
m = 2(14) Simplify
m = 28 Martha's age
Therefore Joe is 14 and Martha is 28.
Answer:
1.375w
Step-by-step explanation:
Answer:
20 weeks
Step-by-step explanation:
To be able to find the amount of weeks that it will take them to have the same amount, you can say that the amount that Brad saves each week for the number of weeks is equal to the amount that Samantha saves each week for the number of weeks plus the initial amount she has:
(16*1/2)*x=((9*2/3)*x)+40, where
x is the number of weeks
Now, you have to solve for x:
8x=6x+40
8x-6x=40
2x=40
x=40/2
x=20
According to this, the answer is that it will take them 20 weeks to have the same amount in savings.
Answer:
It is 2/121.
Step-by-step explanation:
For the first draw, the probability of picking P is 1/11 since there is only one P letter in the 11 letters. If we replace the P after drawing, then for the second draw, the probability of drawing I is 2/11 since there are 2 I's in the 11 letters.
Since the events are seperate, the probability of picking P and then picking I is (1/11)x(2/11) = 2/121.
I hope this answer helps.
Answer:
The domain of the function i.e. the value of x can be any real number and the range of the function is y > 0.
Step-by-step explanation:
On a coordinate plane, an exponential function approaches y = 0 in quadrant 2 and curves up and increases in quadrant 1.
Therefore, as x tends to - ∞, the y-value tends to 0 but not equal to zero and as x tends to +∞, the y-value also tends to +∞.
Hence, the domain of the function i.e. the value of x can be any real number and the range of the function is y > 0. (Answer)
