Solution:
we are given that
John is 3 years older than Jim. Jim is 4 years less than half of Dana’s age.
Let the age of Jim be x years then we can say
Age of John
If diana Age is D then
It can be re-wriiten as
Diana age 
Given that their ages add up to 167
Hence jim is 39 nyears old, John is 39+3=42 years old. and Diana is 2*39+8=78+8=86 years old.
Answer:
The midpoint of MN is <u>(7,1)</u>
Add the x coordinates 7+7=14 then you divide that by 2 giving you 7.
Then you add the y coordinates together 6+(-4)=2 then divide by 2 and that gives you 1. Therefore the answer is (7,1)
60 is your answer.
Explanation:
4(2(4.5) + 6)
Use the distributive property and simplify.
9514 1404 393
Answer:
x = 12
Step-by-step explanation:
We can find x using either the measure of angle B, or the measure of angle A.
Using A, we have ...
48 = x^2 -8x
Adding 16 completes the square:
64 = x^2 -8x +16 = (x -4)^2
Then the positive solution is ...
√64 = x -4
x = 4 +8 = 12
The triangles are similar when x=12.
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<em>Check</em>
We expect angle B to be 84° when x=12:
(x^2 -5x) = x(x -5) = 12(7) = 84 . . . . as needed
Answer:
Let x be the rent for a movie and y is the rent for a video game
The following system of equations:
5x + 2y = 31 (1)
3x + 8y = 56 (2)
Solving the system of equations above we have:
x = (31-2y) / 5 (1) => replace x in (2) 3 ((31-2y) / 5) + 8y = 56 => y = $ 5.5
Replace y = $ 5.5 for (1) => x = ((11 - 11) / 5) = 4
So the rent for a movie is $ 5.5 and the price for renting a video games is $ 4
Step-by-step explanation:
