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VladimirAG [237]
3 years ago
13

write and solve an inequality to determine how many hours she must train if she burns an average of 750 calories per hour and ea

ts a total of 8000 calories​
Mathematics
1 answer:
vova2212 [387]3 years ago
5 0

Answer:

The required inequality: 8000-750h\leq 2000

She must train at least 8 hours.

Step-by-step explanation:

Consider the provided information.

An athlete wants to maintain a net caloric intake of no more than 2,000 calories for the day.

We need to determine how many hours she must train if she burns an average of 750 calories per hour and eats a total of 8000 calories​.

Let the number of hours is h.

She burns an average of 750 calories per hour so for h hours she will burns 750h calories.

She want to maintain no more than 2,000 and she eats a total of 8000 calories​.

Therefore, the required inequality:

8000-750h\leq 2000

Now solve the inequality as:

-750h\leq 2000-8000

-750h\leq -6000

h\geq \frac{-6000}{-750}

h\geq 8

Hence, she must train at least 8 hours.

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Mr. Zillow wants to research the prices in a Subdivision near Disney World called World of Homes. The prices of 14 homes in this
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Answer:

Looking for four values or answers

(A) 5.05

(B) 13

(C) $254,140.33

(D) $254,145.38

Step-by-step explanation:

(A) The value of the margin of error.

Using a 90% confidence level or 0.10 alpha level,

1 - alpha = 1 - 0.10 = 0.90

The degrees of freedom = n - 1 = 14 - 1 = 13

Using the t table, 0.90 under 13 is 1.350

Sample size divided by √n is equal to

14/√14 = 3.742

1.35 × 3.742 = 5.05

(B) 13 degrees of freedom

(C) To find the lower and upper limits, you find the mean value first and then subtract / add to half of the margin of error which is 5.05÷2 = 2.525

Adding the 14 values together, you have $3,558,000

Dividing by 14 to get the mean;

Mean = $254,142.8571

Lower Limit: $254,140.33

Upper Limit: $254,145.38

4 0
3 years ago
12. Which two numbers whose ratio is 3 to 2 have a sum of 35? PLEASE HELP ASAP!!
Brut [27]

Answer:

14 and 21

Step-by-step explanation:

You should solve the following linear equations : \\\frac{x}{y} = \frac{3}{2}\\ x+y=35

3 0
3 years ago
A carnival game has 3 identical boxes. The boxes have the following amounts of money: one has $30.00, one has $6.00, and one has
garri49 [273]
$200 divided by 100 customers = 2$.

So, if he wants to make a profit of $200, he would have to make each customer pay $2.   :)

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3 years ago
twinlakes on the shelf of a covenience store lose their fresh tastines over time. we say that the taste quality is 1 when the tw
Zolol [24]

Answer:

The graph is shown below.

The time to make the taste to half is <u>4.265 s.</u>

Step-by-step explanation:

Given:

Initial value of the taste is, Q_0=1

Therefore, the quality of taste over time 't' is given as:

Q(t)=Q_0(0.85)^t\\Q(t)=1(0.85)^t

Now, when the taste reduces to half, Q=0.5

Therefore,

0.5=1(0.85)^t

Taking natural log on both the sides, we get:

\ln(0.5)=\ln(0.85)^t\\\ln(0.5)=t\ln(0.85)\\t=\frac{ln(0.5)}{\ln(0.85)}=4.265\ s

Therefore, the time to make the taste to half is <u>4.265 s.</u>

4 0
3 years ago
What was the error in this equation?
PtichkaEL [24]

Answer:

The error is the solution.

The solution is all real numbers, or infinite amount of solutions.

Step-by-step explanation:

Step 1: Write equation

-4(2n - 3) = 12 - 8n

Step 2: Solve for <em>n</em>

  1. <u>Distribute -4:</u> -8n + 12 = 12 - 8n
  2. <u>Subtract 12 on both sides:</u> -8n = -8n
  3. <u>Add 8n to both sides:</u> 0 = 0

Here we see that <em>n</em> can equal any number. If you plug in any number <em>n</em>, it will render the equation true. Therefore, our solution is n = infinite amount of solutions.

n = 0 is only slightly correct. 0 does work as the solution, but there are solutions as well.

3 0
2 years ago
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