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aleksandr82 [10.1K]
2 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]2 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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krek1111 [17]
No you wouldn’t it would be a different answer
7 0
3 years ago
Read 2 more answers
The variable, y, varies directly with x. If y = 26 when x = 21,<br> what is y when x = 64?
STatiana [176]

Answer:

y=69

Step-by-step explanation:

first step:when y=26 and x=21

c=y-x

c=26-21

c=5

second step: when y is unknown and x=64

To find y we simply add the value of c to x

y=x+c

y=64+5

y=69

6 0
3 years ago
How to find 62%of $400​
gayaneshka [121]

Answer:

248

Step-by-step explanation:

Solution for What is 400 percent of 62:

400 percent *62 =

(400:100)*62 =

(400*62):100 =

24800:100 = 248

Now we have: 400 percent of 62 = 248

Question: What is 400 percent of 62?

Percentage solution with steps:

Step 1: Our output value is 62.

Step 2: We represent the unknown value with $x$.

Step 3: From step 1 above,$62=100\%.

Step 4: Similarly, x=400\%.

Step 5: This results in a pair of simple equations:

62=100\%(1).

x=400\%(2).

Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both

equations have the same unit (%); we have

\frac{62}{x}=\frac{100\%}{400\%}

Step 7: Again, the reciprocal of both sides gives

\frac{x}{62}=\frac{400}{100}

\Rightarrow x=248

Therefore, 400 of 62 is 248

5 0
3 years ago
Read 2 more answers
Need this worked out please so I can understand it
Afina-wow [57]

9514 1404 393

Answer:

  a)  12

  b)  y +5 = 12(x +2)

Step-by-step explanation:

The slope of a function is its derivative.

a) The slope of y = x^3 +3 at any point is y' = 3x^2. So, at the point where x=-2, the slope of the curve is ...

  m = 3(-2)^2 = 12 . . . . slope at (-2, -5)

__

b) The equation of the tangent line is most easily written using the point-slope form of the equation of a line.

  y -k = m(x -h) . . . . . line with slope m through point (h, k)

  y +5 = 12(x +2) . . . . line with slope 12 through point (-2, -5)

3 0
3 years ago
2+8+5+9+90=<br>3+45+111=​
Anastasy [175]

Answer:

1) 114

2) 159

Step-by-step explanation:

2+8+5+9+90 = 114

3+45+111 = 159

Hope this helps.

8 0
3 years ago
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