Answer:
1 : 12 : 4
Step-by-step explanation:
Let A, G, C represent the ages of Alex, George, and Carl, respectively. We are told that ...
A = G +12
C = 3A . . . . . . . we read this as "3 times as old"; not "3 times older"
A + G + C = 68
Substituting for G and C, we have ...
A + (A -12) +(3A) = 68
5A = 80 . . . . . add 12
A = 16 . . . . . . . divide by 5
The other ages are then ...
G = A-12 = 16 -12 = 4
C = 3A = 3·16 = 48
The ratios are ...
G : C : A = 4 : 48 : 16
G : C : A = 1 : 12 : 4
Answer:
It is being multiplied by 6 each time.
Step-by-step explanation:4x6, 24x6
Answer:
$62.9 and $98.4
Step-by-step explanation:
Let the cost of tennis shoe be x
Since a jacket cost $35.50 more than a pair of tennis shoe,
Then cost of jacket would be
= $35.50 + x
Total cost of both items would be;
x + $35.50 + x = $161.30
2x = $161.30 - $35.50
2x = $125.8
x = $62.9
Therefore, cost of pair of tennis shoe is $62.9
Jacket cost would now be
= $35.5 + x
= $35.5 + $62.9
= $98.4
Answer:
The solution is (2, -2)
Step-by-step explanation:
In order to solve this, multiply the second equation by -5 and then add through.
5x - 4y = 18
-5x - 15y = 20
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-19y = 38
y = -2
Now that we have the value of y, we can solve for x.
x + 3y = -4
x + 3(-2) = -4
x - 6 = -4
x = 2
Answer: x = 28
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Explanation:
The angles COE, EOF, and FOB combine to form angle COB
angle COB = (angleCOE)+(angleEOF)+(angleFOB)
angle COB = (3x)+(x)+(x+12)
angle COB = 5x+12
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Angles AOD and COB are vertical angles, so they are congruent
angle COB = angle AOD
5x+12 = 152
5x = 152-12
5x = 140
x = 140/5
x = 28