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3 years ago

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If linda has borrowed 8 more books than susan from school library. Richard has borrowed half as many books as Linda has. If Rich

ard has borrowed 17 books from library. How many books has susan borrowed

1 answer:

Mumz [18]3 years ago

4 0

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The answer is "0.4125"

Step-by-step explanation:

$\to 7.4 -4.1= 3.3 (0.125)= 0.4125$

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Alexxx [7]

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Vladimir79 [104]

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3 years ago

Two positive integers have a sum of 10 and a product of 21. What are the integers?

lara [203]

Answer:

<h2>3 and 7</h2>

Step-by-step explanation:

$x,y-\text{positive integers}\\\\\text{The system of equations:}\\\\\left\{\begin{array}{ccc}x+y=10&\text{subtract}\ y\ \text{from both sides}\\xy=21\end{array}\right\\\\\left\{\begin{array}{ccc}x=10-y&(1)\\xy=21&(2)\end{array}\right\\\\\text{substitute (1) to (2):}\\\\(10-y)(y)=21\qquad\text{use the distributive property}\ a(b-c)=ab-ac\\\\10y-y^2=21\qquad\text{subtract 21 from both sides}\\\\-y^2+10y-21=0\qquad\text{change the signs}\\\\y^2-10y+21=0\\\\y^2-3y-7y+21=0\\\\y(y-3)-7(y-3)=0$

$(y-3)(y-7)=0\iff y-3=0\ \vee\ y-7=0\\\\y-3=0\qquad\text{add 3 to both sides}\\\\y=3\\\\y-7=0\qquad\text{add 7 to both sides}\\\\y=7\\\\\text{Put the value of}\ y\ \text{to (1):}\\\\x=10-3=7\ or\ x=10-7=3$

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3 years ago