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g100num [7]
3 years ago
12

How many solutions are there to the equation 10= a + b + c with each of a, b, and c a whole number greater than or equal to zero

?
Mathematics
1 answer:
djverab [1.8K]3 years ago
4 0
If <em>a</em> is fixed and <em>b</em>,<em>c</em> are unknowns then the equation <em>b</em>+<em>c</em>=10-<em>a</em> has 11-<em>a</em> solutions. They are pairs (b,c): (0,10-a), (1,9-a), (2,8-a), ... (10-a,0). As <em>a</em> runs from 0 to 10 we have total number of solutions (11-0)+(11-1)+...(11-1)=11+10+...+1=(1+11)*11/2=66.
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14.4% of 72.5 is what number?
Elina [12.6K]
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5 0
3 years ago
jeromes rain gauge showed 13 9/10 centimeters at the end of last month. at the end of this month, the rain gauge showed 15 3/10
Ne4ueva [31]
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3 0
3 years ago
Simplify The following equations
Y_Kistochka [10]
<span>mostly collect like terms
use associative property which is
(a+b)+c=a+(b+c)
also -a+b-c=(-a)+(b)+(-c) so you can move them around
and remember that:
you just use a general rule
x+x=2x
x^2+x^2=2x^2
3xy4xy=7xy
3x+4x^2=3x+4x^2
you can only add like terms( like terms are terms that are same name like x or y are differnt, and like terms have same power exg x^2 and x^3 and x^1/2 and such

I will oly put the naswers because I don't have much time

first one: 2a+3b+2c

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</span>
3 0
3 years ago
Please help!!
Kryger [21]
Switch y=2x+7 to 2x-y=-7 then multiply that equation by 2 to cancel out the y's. that ends up as 4x-2y=-14 which then you get x=-24. then you substitute x into one of the original equations y= 2(-24)+7 which equals y=-41
5 0
3 years ago
What is the term, coefficient, constant, and factor of 1/2(base1 + base2)h? (Formula used to find area of trapezoid)
vovangra [49]

Answer:

i. Term = \frac{b_{1}h }{2} + \frac{b_{2}h }{2}

ii. Coefficient = \frac{1}{2}

iii. Constant = \frac{1}{2}

iv. Factor = \frac{h}{2}

Step-by-step explanation:

A trapezoid is a quadrilateral which has its base parallel to the opposite side. It's area can be determined by;

Area of trapezium = \frac{1}{2} (b_{1} + b_{2})h

Where b_{1} is the measure of length of its fist base,  b_{2} is the measure of its second base and h is its height.

Considering the given question,

Term = \frac{b_{1}h }{2} + \frac{b_{2}h }{2}

Coefficient = \frac{1}{2}

Constant = \frac{1}{2}

Factor = \frac{h}{2}

6 0
3 years ago
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