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horrorfan [7]
4 years ago
6

Joe has 17 coins, nickels and dimes, that total up to $1.25. How many nickels does he have?

Mathematics
1 answer:
kifflom [539]4 years ago
6 0

Answer:

9 nickels

Step-by-step explanation:

He has 17 coins.

$1.25 is 12 dimes and 1 nickel. But that is only 13 coins.

$1.25 can only be 17 coins if there were 9 nickels and 8 dimes.


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The length plus the width of a rectangle is 10. Let x represent the length. The equation for the area y of the
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Answer:

length of rectangle = 5

width of rectangle = 5

Area of rectangle = 25

Step-by-step explanation:

Since the length of the rectangle is "x", and the value of the area is given by the product of the length "x" times the width "10-x", indeed, the area "y" of the rectangle is given by the equation:

y=x\,(10-x)=10x-x^2

Now, they tell us that the area of the rectangle is such that coincides with the maximum (vertex) of the parabola this quadratic expression represents. So in order to find the dimensions of the rectangle and therefore its area, we find the x-coordinate for the vertex, and from it, the y-coordinate of the vertex, which is the rectangle's actual area.

Recall that the formula for the x of the vertex of a quadratic of the form :

y=ax^2+bx+c

is given by the formula:

x_{vertex}=-\frac{b}{2\,a}

which in our case gives:

x_{vertex}=-\frac{b}{2\,a}\\x_{vertex}=-\frac{10}{2\,(-1)}\\x_{vertex}=5

Therefore, the length of the rectangle is 5, and its width (10-x) is also 5.

The area of the rectangle is therefore the product of these two values: 5 * 5 = 25

Which should coincide with the value we obtain when we replace x by 5 in the area formula:

y=10x-x^2\\y=50-(5)^2\\y=50-25\\y=25

8 0
3 years ago
Simplify the expression. 1.7 – 2.7 – 1.34 + 4.9 – 1.48
lukranit [14]
Work from left to right 
= -1 - 1.34 + 4.9 - 1.48
=-2.34 + 4.9 - 1.48
= 2.56 - 1.48
= 1.08 answer
6 0
3 years ago
Read 2 more answers
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Answer:

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Step-by-step explanation:

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