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cupoosta [38]
3 years ago
7

A castle entrance has walls that can be modeled by the equation StartFraction x squared Over 10 squared EndFraction minus StartF

raction y squared Over 30 squared EndFraction = 1 with units in feet. How wide is the entrance where the walls are closest together?
10 ft
20 ft
30 ft
60 ft
Mathematics
1 answer:
ANEK [815]3 years ago
5 0

Answer:

20

Step-by-step explanation:

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A printer will produce 80 wedding invitations for $210. The price to produce 120 invitations is $290. The printer uses a linear
natima [27]
To solve this question, first find the slope, by taking the difference between the y variables and the X variables.

M = y2 - y1/x2 - X1 = M = 290 - 210/120 - 80

M = 80/40 = M = 2

Then using one of the points solve for b, y intercept.

Y = mx + b
210 = 2(80) + b
210 = 160 + b
b = 210 - 160 = 50.

Now plug everything together to obtain the final equation and then solve for y for 60 invites.

Y = 2x + 50
Y = 2(60) + 50
Y = 120 + 50
Y = 170.

To produce 60 invites the printer will charge $170.00.
3 0
3 years ago
you have $37.85 do you want to buy some tape that each cost $4.95 write and solve inequality to estimate the greatest number of
ahrayia [7]
Cost of tape: 4.95
no. of tape : x
budget : 37.85

4.95x < 37.85

+++
4.95x  < 37.85
<u>÷4.95      ÷4.95</u>
       x < 7.65

* you have to buy tapes that are less than 7.65 

Assuming you bought 7 tapes.
4.95x    < 37.85
4.95(7) < 37.85
34.65    < 37.85   *inequality is correct

If you buy more than 7 tapes, then, the cost of the tapes will be more than your budget. making the inequality incorrect.
8 0
4 years ago
BIG POINTS FOR ANYONE WHO SOLVES DIS PLZ
vovikov84 [41]

The answer is

{36x}^{2}  + 12x + 1

If we put 36x^2, then the answer we would get is

{(6x + 1)}^{2}

Hope this helps :)

6 0
2 years ago
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A YouTube video is 5.4 minutes long , how long is the video in seconds
goldfiish [28.3K]
304 seconds
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5 0
4 years ago
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The area of a rectangular dog pen is 8 1/2 square feet. If the width is 3 2/5 feet, what is the length ,in feet ?
victus00 [196]

Answer:

2 1/2 ft

Step-by-step explanation:

Area is given by the formula

A = l*w

We know the area is 8 1/2  

Changing this to an improper fraction  8 1/2 = (2*8 +1)/2 = 17/2

The width is 3 2/5  as an improper fraction  = (5*3+2)/5 = 17/5

A = l*w

17/2 = l* 17/5

Multiply each side by 5/17

17/2 * 5/17 = l* 17/5 * 5/17

5/2 = l

2 1/2 = l


4 0
3 years ago
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