Answer:
9 hours
Step-by-step explanation:
Let :
Landon hours = x
Ben hours = y
x + y = 14 - - (1)
60x + 56y = 820 - - - (2)
From (1)
y = 14 - x
60x + 56(14 - x) = 820
60x + 784 - 56x = 820
4x = 820 - 784
4x = 36
x = 36/4
x = 9
Landon drove for 9 hours
Answer:
You should go with the 1st, because it's cheaper.
Step-by-step explanation:
1st plan:
30$ which include 75 mins of free calls and 100 free text messages
25 more mins * 10¢ /min(0.1$/min) = 2.5$
You will pay 32.5$
2nd plan:
(calls)100*0.3$=30$
(text messages)100 * 0.1$=10$
30+10 = 40$
Answer:
On Wednesday evening Sonto spent 30 minutes doing homework, 45 minutes doing housework, 60 minutes visiting friends and 90 minutes watching television. Write this down the information as a ratio
Step-by-step explanation:
Total amount of time = 225 minutes
2/15 Homework
1/5 Housework
4/15 Visiting friends
2/5 Watching TV
Whole number ratio
2 : 3 : 4 : 6
Answer:
Step-by-step explanation:
The answer to this problem can be found by writing an equation for the total interest in terms of the amounts invested at each rate.
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<h3>setup</h3>
Let x represent the amount invested at 9% (the higher rate). Then (11000-x) is the amount invested at 3%, and the total interest earned is ...
0.09x +0.03(11000 -x) = 750
<h3>solution</h3>
0.06x = 420 . . . . . . . subtract 330 and simplify
x = 7000 . . . . . . . divide by 0.06 . . . amount invested at 9%
11000 -7000 = 4000 . . . amount invested at 3%
Larry invested $4000 at 3%, and $7000 at 9%.
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<em>Additional comment</em>
In "mixture" problems of this type, it generally works well to let the variable represent the amount of the highest-value contributor. That way, the equations end up with positive coefficients, tending to reduce errors.
