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Ksivusya [100]
3 years ago
12

WILL MARK BRAINLIEST

Mathematics
2 answers:
mario62 [17]3 years ago
8 0

Answer:

225 < x < 325

It represents the amount of carbs consumed is between 225 grams and 325 grams.

Step-by-step explanation:

Given compound inequality:

460 < 2x + 10 and 2x + 10 < 660

460-10 < 2x and 2x < 660 - 10

450 < 2x and 2x < 650

225 < x and x < 325

⇒ 225 < x < 325

Which is the solution of the given compound inequality .

∵ The inequality represents the level in which the amount of carbs consumed in grams lies,

Hence, 225 < x < 325 will represent the amount of carbs consumed is between 225 grams and 325 grams.

Debora [2.8K]3 years ago
7 0

460 < 2x + 10 and 2x + 10 < 660

Solve x in each equation:

Rewrite so X is on the left side:

2x +10 >460

Subtract 10 from each side:

2x > 450

Divide both sides by 2:

x > 450 /2

x > 225

2x +10 <660

Subtract 10 from both sides:

2x < 650

Divide both sides by 2:

x < 650 / 2

x < 325

Combine the answer: 225 < x < 325

This means her carb intake needs to be more than 225 and less than 325 grams.

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Step-by-step explanation:

The leading coefficient means the thing you're multiplying your highest power by. Here, your highest power of x is x^2, and that term's coeff. is -5, so the leading coefficient is -5.

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There are twice as many flute players as there are trumpet players in the band. if there are n flute players, write an algebraic
ale4655 [162]

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n/2 = # of trumpet players

Step-by-step explanation:

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2 years ago
What is the approximate value of 2π-√3? A. 0.14 B. 0.28 C. 3.28 D. 4.55 E. 4.78
vladimir1956 [14]

Answer:

<u>The correct answer is D. 4.55</u>

Step-by-step explanation:

1. Let's check the information given to resolve the question:

What is the approximate value of 2π-√3?  

2. Replacing the equation with the values:

π = 3.1416

√3 = 1.7321

2π-√3

2 (3.1416) - 1.7321 = 6.2832 - 1.7321 = 4.5511

4.55 (Rounding to two decimal places)

<u>The correct answer of 2π - 3 is D.4.55</u>

3 0
3 years ago
Read 2 more answers
3. A model rocket is launched from the ground with an initial velocity of 352 ft/sec.
Hoochie [10]

Answer:

e. It will take 11 seconds to reach the maximum height of 1,936 feet.

f. It will take 22 seconds to return to the earth.

Step-by-step explanation:

Given:

Initial velocity v_0 = 352 ft/sec

Solving for question e.

To find the time required to reach the maximum height we will use the formula,

h(t) = -16t^2+v_0t+h_0,

where v_0 is the starting velocity

h_0 is the initial height.

Using the velocity and starting height from our problem we have,

h(t) = -16t^2+352t+0,

The path of this rocket will be a downward facing parabola, so there will be a maximum.

This maximum will be at the vertex of the graph.

To find the vertex we start out with x= \frac{-b}{2a} which in our case is,

x=\frac{-352}{2(-16)}=\frac{-352}{-32}= 11

So, It will take 11 seconds for the rocket to reach its maximum height.

We will find maximum height using the formula by substituting value of t we get,

h(11)=-16(11^2)+352(11)+0\\h(11) = -16 \times121+ 352 \times 11 = -1936+3872= 1936 \ ft

Hence the maximum height will be 1936 \ ft

Now Solving for question f.

To find the time required for rocket to reach earth.

We will set our formula to 0 to find the time.

0= -16t^2+352t+0\\-16t(t-22)=0

Using the zero product property, we know that either -16t = 0 or t - 22 = 0.  When -16t = 0 is at t = 0, when the rocket is launched. t - 22 = 0 gives us an answer of t = 22.

So the rocket reaches the Earth again at 22 seconds.

8 0
3 years ago
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