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Fofino [41]
2 years ago
6

Two cars start towards each other from points 200 miles apart .One car travels at 40 miles per hours and the other travel at 35

miles an hour .How far apart will the two cars be after four hours of continuous traveling
Mathematics
1 answer:
Vanyuwa [196]2 years ago
5 0

Recall: distance = rate times time.

To determine how far apart the two cars will be after four hours of travel, subtract the sum of the distances traveled from 200 mi:

Distance apart after four hours = 200 mi - (40 mph)(4 hrs) - (35 mph)(4 hrs)

= 200 mi - 160 mi - 140 mi = -100 mi

The wording of your question implies that the cars will not yet have met after four hours of travel. This negative result is absurd. Please ensure that you have copied down the problem completely and accurately.

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Complete the steps in solving the quadratic function 7x – 9 = 7x2 – 49x by completing the square. –9 = 7x2 – x –9 + = 7(x2 – 8x
anzhelika [568]

Answer:

A) 56 . . . . . . the (negative) sum of -7 and -49

b) 112 . . . . . the product of 7 and 16

c) 16 . . . . . . the square of 8/2

8 0
2 years ago
Read 2 more answers
Mustafa, Heloise, and Gia have written more than a combined total of 22 articles for the school newspaper.
Ghella [55]

Answer:  The required inequality is x+\dfrac{1}{4}x+\dfrac{3}{2}x>22. and its solution is x>8.

Step-by-step explanation:  Given that Mustafa, Heloise, and Gia have written more than a combined total of 22 articles for the school newspaper.

Also, Heloise has written \frac{1}{4} as many articles as Mustafa has and Gia has written \frac{3}{2} as many articles as Mustafa has.

We are to write an inequality to determine the number of articles, m, Mustafa could have written for the school newspaper.  Also, to solve the inequality.

Since m denotes the number of articles that Mustafa could have written. Then, according to the given information, we have

x+\dfrac{1}{4}x+\dfrac{3}{2}x>22.

And the solution of the above inequality is as follows :

x+\dfrac{1}{4}x+\dfrac{3}{2}x>22\\\\\\\Rightarrow \dfrac{4x+x+6x}{4}>22\\\\\\\Rightarrow 11x>88\\\\\Rightarrow x>\dfrac{88}{11}\\\\\Rightarrow x>8.

Thus, the required inequality is x+\dfrac{1}{4}x+\dfrac{3}{2}x>22. and its solution is x>8.

4 0
2 years ago
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Which of the following is a correct way to measure productivity? a. Divide the number of hours worked by the quantity of output.
11111nata11111 [884]

Answer:

b. Divide the quantity of output by the number of hours worked.

Step-by-step explanation:

<em>Since the ratio of the number of output to the number of hours worked shows the productivity. </em>

Thus, option (b) is correct.

Productivity is used to converting inputs into useful output. It measures the efficiency of a person, system, machine, factory, etc.

For Example: The employee who works less hours and assembled more radios has more productivity, that employee knows how to utilize time.

6 0
2 years ago
Scott wanted to bjy a sofa which originally cost $500.Store A was selling it for 20% off plus 6.5% sales tax.Store B was selling
USPshnik [31]

Answer:

Store A offers the least amount for the sofa

Step-by-step explanation:

Cost of sofa =$500

For store A

Discount =20% off

The amount of the discount is

=20/100*500

=0.2*500

=$100

6.5% sales tax

The amount of tax is

=6.5/100*500

=0.065*500

=$32.5

Total cost of the sofa

=500-100+32.5

=400+32.5

=$432.5

For store B

Discount =30% off

The amount of the discount is

=30/100*500

=0.3*500

=$150

Shipping fee $85

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3 0
2 years ago
Assuming a binomial distribution, a production process produces 2% defective parts. A sample of five parts from the production p
Murrr4er [49]

Answer:

0.38% probability that the sample contains exactly two defective parts.

Step-by-step explanation:

For each part, there are only two possible outcomes. Either it is defective, or it is not. The probabilities for each part being defective are independent from each other. So we use the binomial probability distribution to solve this problem.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

In this problem we have that:

n = 5, p = 0.02

What is the probability that the sample contains exactly two defective parts?

This is P(X = 2)

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 2) = C_{5,2}.(0.02)^{2}.(0.98)^{3} = 0.0038

0.38% probability that the sample contains exactly two defective parts.

3 0
2 years ago
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