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Vedmedyk [2.9K]
3 years ago
13

Mr Smith bought x number of shirts for the new members of her chorus. The cost for x number of shirts, including $3.99 shipping

was $77.49. Each shirt cost $12.25. There was no sales tax on this purchase. Which equation could be used to find x?
Mathematics
1 answer:
fiasKO [112]3 years ago
4 0

We are given that the cost of each shirt = $12.25

It is given that she bought total 'x' shirts, each of cost $12,25.

So, the cost of 'x' shirts is  dollars

Also, there is a shipping charge of $3.99

So, the total cost of 'x' shirts is

Since, the shirts cost her total $77.49.

We have the equation,

12.25x + 3.99 = 77.49

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An opaque cylindrical tank with an open top has a diameter of 3.25 m and is completely filled with water. When the afternoon Sun
kicyunya [14]

Answer:

10.69

Step-by-step explanation:

We must first know that the angle of refraction is given by the following equation:

n_water * sin (A_water) = n_air * sin (A_air)

where n is the refractive index, for water it is 1.33 and for air it is 1.

The angle (A) in the air is 22.8 °, and that of the water is unknown.

Replacing these values we have to:

1.33 * sin (A_water) = 1 * 0.387

sin (A_water) = 1 * 0.387 / 1.33

A_water = arc sin (0.2907) = 16.9 °

now for the tank depth:

h = D / tan (A_water)

D = 3.25

Replacing

h = 3.25 / tan 16.9 °

h = 10.69

Therefore the depth is 10.69 meters.

6 0
3 years ago
The value in dollars v(x), of a certain truck after x years is represented by the equation v(x)= 32,500(0.92) raised to the x po
s2008m [1.1K]
The 32,500 is the original cost of the truck and the (0.92) You take v(x)=32,500(0.92)
 and raise that to the 2nd power, to represent the 2nd year and you will get an answer of $27,300. 
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8 0
3 years ago
Eighty-five more than the square of a number is the same as the square of the quantity that is 17 less than the number. What is
mario62 [17]
We can turn this word problem into the following equation:
x^2 + 85 = (x - 17)^2
  x^2 + 85 = x^2 - 34x + 289
           -85                       -85
_______________________
      x^2 = x^2 - 34x + 204                    
     +34x         +34x
_______________________
 x^2 + 34x = x^2 + 204
-x^2             -x^2
____________________
       34x = 204
Divide 34 on both sides
      x = 6.
The number is 6.
5 0
3 years ago
Rewrite the equation by completing the square. x^{2}+16x+64 = 0
Ostrovityanka [42]

Answer:

(x+8)²

Step-by-step explanation:

x² + 16x + 64 = (x+8)²

(x+8)² = (x+8)(x+8) = x*x + x*8 + 8*x + 8*8 = x² + 8x + 8x + 64

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8 0
3 years ago
How can Help me<br> (a+b)^2≥4ab
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Mark as brainlist___________________________________

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