Answer:
6
Step-by-step explanation:
57=15+7x --> 57-15=7x --> 42=7x --> 42/7=x --> 6
<span>Northwest is 45 degrees north of west. If a car travels a distance x miles northwest, its northerly component gains x/sqrt(2) miles and its easterly component LOSES xsqrt(2)/ miles.
Resultant height is h = 4500 + 100x/sqrt(2) - 75x/sqrt(2) = [25/sqrt(2)]x + 4500
dh/dt = [25/sqrt(2)]dx/dt = [25/sqrt(2)]v </span>
Let's solve this inequality!
What can we do to solve this inequality? Well, first of all, we can add -7 and 35:
Now, move 20 to the right, using the opposite operation:
Subtract:
Divide both sides by -1 to isolate x:
(Answer)
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<em>Additional comment</em>
When we divide both sides of an inequality by a negative number, we flip the inequality sign.
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I hope you find it helpful.
Feel free to ask if you have any questions.
Answers:
- Choice B) y = (1/4)x
- The unit rate is <u> 3.89 </u> dollars per pound. It costs <u> 23.34 </u> dollars for a turkey that weighs 6 pounds.
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Explanations:
- Direct proportional equations are always in the form y = kx, where k is some constant. In the case of choice B, we have k = 1/4. Visually, direct proportion equations are always straight lines and go through the origin.
- Divide $34.99 over 9 to get 34.99/9 = 3.88777 approximately. This rounds to 3.89, so it costs $3.89 per pound. That's the unit rate. Multiply this by 6 to get 6*3.89 = 23.34 which is the cost of the 6 pound turkey.
