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QveST [7]
3 years ago
15

Candice bought a pencil box, shown below, to take with her to school.

Mathematics
1 answer:
Wittaler [7]3 years ago
5 0

Answer:

9 2/3*4 1/5*1 1/4=50 3/4 in^3

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Let x^2+15x=49
Slav-nsk [51]
<span>x^2 + 15x + 56.25 = 105.25

    "Completing the square" is one of many different techniques for solving a quadratic equation. What you do is add a constant to both sides of the equation such that the lefthand side can be factored into the form a(x+d)^2. For instance, squaring (X+D) = X^2 + 2DX + D^2. Notice the 2DX term. That is the same term as the 15x term in the problem. So 2D = 15, D = 7.5. And D^2 = 7.5^2 = 56.25.
So we have
 x^2 + 15x + 56.25 = 49 + 56.25
 Which is
 x^2 + 15x + 56.25 = 105.25
  Which is the answer desired.

   Now the rest of this is going beyond the answer. Namely, it's answering the question "Why does complementing the square help?" Well, we know that the left hand side of the equation can now be written as
 (x+7.5)^2 = 105.25

   Now take the square root of each side
 (x+7.5) = sqrt(105.25)

   And let's use both the positive and negative square roots.
So x+7.5 = 10.25914226
 and
 x+7.5 = -10.25914226

   And let's find X.
 x+7.5 = 10.25914226
 x = 2.759142264

   x+7.5 = -10.25914226
 x = -17.75914226

   So the roots for x^2 + 15x - 49 is 2.759142264, and -17.75914226</span>
3 0
3 years ago
Read 2 more answers
What Is The Area Of This Trapezoid?
DerKrebs [107]
80 square units
______________________________________________
The Formula for the area of a trapezoid is A= (a+b/2)h

A= 3+17/2 (8)
A= 20/2 (8)
A= 10 (8)
A = 80
5 0
2 years ago
Every month, $35 is withdrawal from Tony saving account to pay for his gym membership. He has enough savings to withdraw no more
schepotkina [342]
9 is your answer
because 10times35 is 350 -35 is 315 
3 0
3 years ago
A=9y+3yx<br> Solve the literal equation for y
galina1969 [7]
I'm not sure if this is right but I think it's 6
5 0
3 years ago
Read 2 more answers
this is kinda confusing but it says “if 1 cm represents 2 meters, how long would each measurement be on an actual basketball cou
frosja888 [35]

Answer:

  • 28 m
  • 15 m
  • 24.8 m
  • 1.0 m

Step-by-step explanation:

The given statement is the scale factor:

  \dfrac{\text{scale distance}}{\text{actual distance}}=\dfrac{1\text{ cm}}{2\text{ m}}

This can be rearranged to the formula ...

  \text{actual distance}=\text{(scale distance)}\dfrac{2\text{ m}}{1\text{ cm}}

Filling in the given scale distances, you find the actual distances to be ...

  \textbf{(a) }(14\text{ cm})\dfrac{2\text{ m}}{1\text{ cm}}=14\cdot2\text{ m}=28\text{ m}\\\\\textbf{(b) }(7.5\text{ cm})\dfrac{2\text{ m}}{1\text{ cm}}=7.5\cdot2\text{ m}=15\text{ m}\\\\\textbf{(c) }(12.4\text{ cm})\dfrac{2\text{ m}}{1\text{ cm}}=12.4\cdot2\text{ m}=24.8\text{ m}\\\\\textbf{(d) }(0.5\text{ cm})\dfrac{2\text{ m}}{1\text{ cm}}=0.5\cdot2\text{ m}=1.0\text{ m}\\\\

4 0
3 years ago
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