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Olegator [25]
2 years ago
8

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.

x > 50 and x < 150; Ryan needs to consume more than 50 grams of carbohydrates, but less than 150 grams of carbohydrates.
x < 50 and x > 150; Ryan needs to consume less than 50 grams of carbohydrates or more than 150 grams of carbohydrates.
x > 60 and x < 160; Ryan needs to consume more than 60 grams of carbohydrates, but less than 160 grams of carbohydrates.
x < 60 and x > 160; Ryan needs to consume less than 60 grams of carbohydrates or more than 160 grams of carbohydrates.
Mathematics
1 answer:
pentagon [3]2 years ago
8 0

Compound inequality combines multiple single inequalities.

The solution and interpretation of the inequality is:

<em />x > 50<em> and </em>x < 150<em>.  Ryan needs to consume more than 50 grams of carbohydrates, but less than 150 grams of carbohydrates.</em>

<em />

We have:

110 < 2x + 10 and 2x + 10< 310

Solve for x in both inequalities

110 < 2x + 10

110 -10 < 2x

100 < 2x

Divide both sides by 2

50 < x

Rewrite as:

x > 50

Also, we have:

2x + 10< 310

2x< 310 - 10

2x< 300

Divide by 2

x < 150

So, the solutions to the inequalities are:

x > 50 and x < 150

This means that Ryan needs to consume more than 50 but less than 150 grams of carbohydrates.

Hence, (a) is correct

Read more about compound inequalities at:

brainly.com/question/13290962

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given the vector with a manitude of 9m at an angle a of -80 degrees, decompose this vector into two vector components oarallel t
lana [24]

Answer:

We have the magnitude, M, and the angle A.

(The angle is always measured from the +x-axis)

Then we have that:

x = M*cos(A)

y = M*sin(A)

in this case:

M = 9m

A = -80°

x = 9m*cos(-80°) = 1.562

y = 9m*sin(-80) = -8.86m

Now, the component parallel to the x axis is:

x = 9m*cos(-80°) = 1.562 m

And the slope of something parallel to the x-axis is always zero, as this is a constant line.

3 0
3 years ago
Which expression is equivalent to 7/10-2/10
ki77a [65]

Solution:

we have been asked to find

The expression is equivalent to 7/10-2/10

we can simplify the given expression as below

\frac{7}{10}-\frac{2}{10}=\frac{7-2}{10}\\ \\ \Rightarrow \frac{7}{10}-\frac{2}{10}=\frac{5}{10}\\ \\ \text{Simplify we get}\\ \\ \frac{7}{10}-\frac{2}{10}=\frac{1}{2}\\

Hence the simplified expression , equaivalent to the given expression is 1/2.

4 0
3 years ago
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-) Colin is playing a video game. He wins 25 points for each gold coin he finds. His goal is to win
Dima020 [189]

Answer:

A

Step-by-step explanation:

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if my answer helps please mark as brainliest.

8 0
2 years ago
Let f(x) = -3x + 2 and g(x) = 2x – 5;<br> compute g(f(x))
ki77a [65]

Answer:

g(f(x)) = -6x+6.

Step-by-step explanation:

It is given that,

f(x) = -3x + 2 and g(x) = 2x – 5

We need to find g(f(x)).

Put it into g(x).

g(f(x)) = 2(-3x + 2)+2

= -6x+4+2

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Hence, the value of g(f(x)) is -6x+6.

8 0
2 years ago
13x+5y=90 what is x? what is y?
Leona [35]

Answer:

X=-5y/13+90/13, Y=-13x/5+18

Step-by-step explanation:

You need to solve the equation for X and Y.

Solving for X:

13x+5y=90

Subtract 5y: 13x=-5y+90

Divide by 13: x=-5y/13+90/13

--

For Y:

13x+5y=90

Subtract 13x: 5y=-13x+90

Divide by 5: y=-13x/5+90/5

(Simplifies to -13x/5+18)

3 0
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