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inna [77]
3 years ago
11

Which factor pair of 36 has a sum that is −20?

Mathematics
1 answer:
KIM [24]3 years ago
7 0
-2, -18

-2*-18= 36
-2+(-18)= -20
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total number of boys and girls in a class is 42. if the number of girls is 10 more than the boys find the number of boys?? answe
dsp73

Answer:

\boxed{\sf Total \ number \ of \ boys = 16}

Given:

Total number of boys and girls in class = 42

Total number of girls = 10 more than the boys

To Find:

Total number of boys

Step-by-step explanation:

Let total number of boys be 'x'

\sf So, \\ \sf Total \: number \ of \ girls = x + 10 \\  \\  \therefore \\  \sf \implies    Total \: number \: of \: boys \: and \: girls  \\  \sf \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: = Total \: number \: of \: boys + Total \\  \sf \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: \:  \:  number \: of \: girls \\  \\  \sf \implies 42 = x + (x + 10) \\  \\  \sf 42 = x + (x + 10) \: is \: equivalent \: to \: x + (x + 10)  = 42 : \\  \sf \implies x + (x + 10 )= 42 \\  \sf \implies x + x + 10 = 42 \\  \\  \sf x + x = 2x :  \\  \sf  \implies \boxed{ \sf 2x} + 10 = 42

\sf Substrate \: 10 \: from \: both \: sides :   \\  \sf \implies 2x + (10 -  \boxed{ \sf 10}) = 42 -  \boxed{ \sf 10} \\  \\  \sf 10 - 10 = 0 :  \\  \sf \implies 2x = 42 - 10 \\  \\  \sf 42 - 10 = 32 :  \\  \sf \implies 2x =  \boxed{ \sf 32} \\  \\  \sf Divide \: both \ sides \: by \: 2 :  \\  \sf \implies \frac{2x}{ \boxed{ \sf 2}}  =  \frac{32}{ \boxed{ \sf 2}}  \\  \\  \sf \frac{2x}{2}  =  \frac{ \cancel{2}}{ \cancel{2}}  \times (x) = x :  \\  \sf \implies x =  \frac{32}{2}  \\  \\  \sf  \frac{32}{2}  =  \frac{16 \times  \cancel{2}}{ \cancel{2}}  = 16 :  \\  \sf \implies x = 16

So,

Total number of boys = x = 16

6 0
4 years ago
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