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V125BC [204]
3 years ago
12

Use a proportion if two cassettes cost $14.50 How much will 15 cost

Mathematics
1 answer:
aev [14]3 years ago
8 0
Cost/(number of cassettes) = $14.50/2 = x/15

Multiply by 15 to solve
   15*($14.50/2) = x = $108.75

15 cassettes will cost $108.75.
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What is the product of 709 and 68?
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Answer:

709*68=48212

ans = 48212

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What is the distance between -12 and 3
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What is the probability of rolling a prime number of a standard 20 sided die? (1 is not a prime number)
satela [25.4K]

Answer:

2/5.

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3 0
3 years ago
A new hospital tracked the number of births during its first 6 months of operation, as shown in the table. Find a quadratic func
UNO [17]
Let    x refers to the Month numbers
And  y refers to Number of births

There is 5 steps to find the quadratic function that models the data.

First step           ⇒ <span>Plot <span>the data pairs (<span>x<span>, <span>y<span>) in a coordinate plane.
                              which are the blue circles in the attached figure

Second step     ⇒ </span></span></span></span></span></span><span>Draw <span>the parabola you think best fits the data.
                             Which is the red function in the attached figure.

</span></span><span><span>Third step         ⇒</span> Estimate <span>the coordinates of three points on the
<span>                             parabola, which are (2, 108), (4, 68), and (6, 75).</span>
                             </span></span><span><span>which are the black squares in the attached figure</span>

Fourth step       ⇒ </span><span>Substitute <span>the coordinates of the points into the<span> model <span>
                            y <span>= <span>ax<span>2 <span>+ <span>bx <span>+ <span>c
<span>                            to obtain a system of three linear equations.</span>

                            4a + 2 b + c = 108   ---------(1)
                            </span></span></span></span></span></span></span></span></span></span></span><span><span>16a + 4 b + c = 68   ---------(2)</span>
                            36a + 6 b + c = 75   ---------(3)   

Fifth step   ⇒ </span><span>Solve <span>the linear system.
                      By using the calculator
                      a = 5.875 , b = -55.25 , c = 195

So, the</span></span><span> quadratic model for the data is ⇒ y = 5.875 x²- 55.25 x + 195
============================================
T</span><span>o predict the number of births for month 8
substitute with x = 8 ⇒  y = </span><span>5.875 * 8²- 55.25 * 8 + 195 = 129</span>







3 0
3 years ago
Read 2 more answers
A person 2.1 m tall casts a shadow 5.3 m long. At the same time, a building casts a shadow 34
bulgar [2K]
Height. Shadow
2.1 m. 5.3 m
X m. 34 m
X=2.1•34/5.3
X=71.4/5.3
X=13.47 m
X~13.5 m
4 0
2 years ago
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