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noname [10]
2 years ago
15

Ryan is trying a low-carbohydrate diet. He would like to keep the amount of carbs consumed in grams between the levels shown in

the following compound inequality: 110 < 2x + 10 and 2x + 10 < 310 Solve for x in this inequality, and explain what the answer represents.
Mathematics
2 answers:
nydimaria [60]2 years ago
4 0

Answer:

50

Ryan would like to eat <em>more than</em> 50 carbs per day, but <em>no more than</em> 150 carbs per day.

So, Ryan's total carb intake must be <em>between </em>50 and 150 carbs.

Step-by-step explanation:

So he wants to keep his consumption of carbs between the inequalities:

110

So, let's solve both inequalities.

1)

110

Subtract 10 from both sides:

100

Divide both sides by 2:

50

2)

2x+10

Subtract 10 from both sides:

2x

Divide both sides by 2:

x

So, our inequality is now:

110

Since we solved the equations:

50

Written as a compound inequality, this is:

50

In other words, Ryan would like to eat <em>more than</em> 50 carbs per day, but <em>no more than</em> 150 carbs per day.

So, Ryan's total carb intake must be <em>between </em>50 and 150 carbs.

Tresset [83]2 years ago
4 0

Answer:

110

Step-by-step explanation:

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Answer:

a. Emily should begin her turn as the third driver at point (1, -0.5).

b. Emily's turn to drive end at point (-2.5, -3.75).

Step-by-step explanation:

Let assume that the group of girls travels from their hometown to San Antonio in a straight line. We know that each location is, respectively:

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A(x,y) = (8,6) + \frac{2}{4}\cdot [(-6,-7)-(8,6)]

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E(x,y) = (8,6) + \frac{3}{4}\cdot [(-6,-7)-(8,6)]

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a. <em>If the girls take turns driving and each girl drives the same distance, at what point should they stop from Emily to begin her turn as the third driver? </em>

Emily's beginning point is the Andra's stop point, that is, A(x,y) =(1, -0.5).

Emily should begin her turn as the third driver at point (1, -0.5).

b. <em>At what point does Emily's turn to drive end?</em>

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Step-by-step explanation:

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