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aleksandr82 [10.1K]
3 years ago
9

A prop assistant needs to rent a telescope to use for a scene in a movie. One company charges $57 per day plus a flat fee of $32

to rent a telescope. Another company charged $62 per day with no flat fee. For how many days would the total cost of renting a telescope be the same at both companies? Justify your answer by writing and solving an equation.
Fill in the blanks with the correct answers.

62x = 58x + 32, when x = ____. The total cost of renting a telescope would be the same at both companies for _____ day(s).
Mathematics
1 answer:
vovangra [49]3 years ago
5 0

The number of days for both Companies to have the same total amount is

6.4 days

<h3>Word Problem leading to Algebraic expression</h3>

 

Given Data

  • Let the total payment be y
  • Let the number of days be x

Company A

  • Charges per day = $57
  • Flat fee = $32

y = 57x+ 32 -----------------1

Company B

  • Charges per day = $62
  • Flat fee = $0

y = 62x + 0-----------------2

Equating 1 and 2 we have

57x+ 32 = 62x+ 0

Solving for x we have

62x-57x = 32

5x = 32

Divide both sides by 5

x = 32/5

x = 6.4 days

Learn more about word problem here:

brainly.com/question/13818690

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OverLord2011 [107]

Answer:

How much soil for a raised bed?

Answer: The cost to fill a raised bed with bagged fertile soil (planting mix) adds up quickly. The volume of soil you need is 12 feet times 4 feet times 1.5 feet (length times width times depth equals volume), which comes to 72 cubic feet

Step-by-step explanation:

4 0
3 years ago
Now, that you have the new wheel circumference, what will happen to the number of rotations if the circumference of the tires we
butalik [34]

The number of rotations for the new wheel will be  1,056 rotations

<h3>How to calculate the circumference of a wheel?</h3>

Let the initial circumference be 50 rotations  (assumed)

If the number of rotations of the circumference of the tires were increased by 20%, then the new circumference will be:

Ne circumference = 1.2 * 50 = 60

number of rotations for the new wheel = 63360/60
number of rotations for the new wheel = 1,056 rotations

Hence the number of rotations for the new wheel will be  1,056 rotations

Learn more on circumference here: brainly.com/question/20489969

7 0
2 years ago
What is the value of A??
aniked [119]

Answer:

the value is....

Step-by-step explanation:

a

7 0
3 years ago
-4/9x-5/72x+1/8x= -56 please help me guys
geniusboy [140]

Answer:

x=144

Step-by-step explanation:

Therefore, x=144 should be your final answer.

3 0
3 years ago
What is the z-score of a newborn who weighs 4,000 g?.
vagabundo [1.1K]

The z-score of the considered newborn having 4,000 g weight is \dfrac{4000 - \mu}{\sigma}

<h3>How to get the z scores?</h3>

If we've got a normal distribution, then we can convert it to standard normal distribution and its values will give us the z score.

If we have

X \sim N(\mu, \sigma)

(X is following normal distribution with mean \mu and standard deviation  \sigma)

then it can be converted to standard normal distribution as

Z = \dfrac{X - \mu}{\sigma}, \\\\Z \sim N(0,1)

(Know the fact that in continuous distribution, probability of a single point is 0, so we can write

P(Z \leq z) = P(Z < z) )

Also, know that if we look for Z = z in z tables, the p value we get is

P(Z \leq z) = \rm p \: value

For the considered case, the statement in the problem is missing the mean weight of the newborn and standard deviation of the data set of weights of newborn.

Thus, for them, we can consider variables in place of their actual values.

Let we have:

  • X = weights of newborns for some considered system (in grams)
  • \mu = mean weight of newborns (in grams)
  • \sigma = standard deviation of the data set of weights of newborns

Then, the z-score for X = 4000 is

z = \dfrac{x - \mu}{\sigma} = \dfrac{4000 - \mu}{\sigma}

Thus, the z-score of the considered newborn having 4,000 g weight is \dfrac{4000 - \mu}{\sigma}

Learn more about z-scores here:

brainly.com/question/13299273

3 0
2 years ago
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