How do I solve for y=160x+2=y=280x-3?
1 answer:
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Answer: Victor should give 28 tools to Ilya.
Step-by-step explanation:
Since we have given that
Ratio of the number of Victor's tools to the number of IIya's tools = 5:2
Let the number of Victor's tools be 5x
Let the number of Ilya's tools be 2x
According to question, Victo has 42 more tools than Ilya.
So, our equation becomes,
So, number of tools Victor has 5x=5×14=70
Number of tools Ilya has 2x = 2× 14 =28
Let the number of tools that Victor should give to Ilya be 'y' so that the ratio of the number of victor's tools to the number of Ilya's tools is 3:4.
According to question, it becomes,
Hence, Victor should give 28 tools to Ilya.
Answer:
(a) $60 | (b) $660
Step-by-step explanation:
We can use the simple interest formula for this:
<em>I = interest amount</em>
<em>P = principal amount</em>
<em>r = interest rate (decimal form)</em>
<em>t = time (years)</em>
<em />
First, change 5% into its decimal form:
5% -> -> 0.05
Next, plug in the values into the equation:
<em>The interest earned is $60. To find the total balance, just add the $600 back.</em>
The total interest earned is $60 and the total is $660.
Cost of the current plan: $175
Number of devices: x
Cost of the new plan: $94+($4.50/device)x
Cost of the new plan is less than the current plan:
$94+($4.50/device)x<$175
Solving for x:
$94+($4.50/device)x-$94<$175-$94
($4.50/device)x<$81
(device/$4.50)($4.50/device)x<(device/$4.50)($81)
x<18 devices
Please, see the attached file.
Thanks.
Number of devices: x
Cost of the new plan: $94+($4.50/device)x
Cost of the new plan is less than the current plan:
$94+($4.50/device)x<$175
Solving for x:
$94+($4.50/device)x-$94<$175-$94
($4.50/device)x<$81
(device/$4.50)($4.50/device)x<(device/$4.50)($81)
x<18 devices
Please, see the attached file.
Thanks.