2 years ago

The sum of four number is 1650. the sum of three of the numbers is 20% more than the other number x. what is the value of x?

Mathematics

1 answer:

bezimeni [28]2 years ago

5 0

Four numbers are A, B, C, x
A+B+C+x=1650
A+B+C=1.2x
{A+B+C}=y
y=1.2x
y+x=1650
1.2x+x=1650
2.2x=1650
x=750

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alekssr [168]

Answer: C) 12.2

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Explanation:

We have a known adjacent side (10) and an unknown hypotenuse (x). The cosine rule ties the two sides together.

cos(angle) = adjacent/hypotenuse

cos(35) = 10/x

x*cos(35) = 10

x = 10/cos(35)

x = 12.2077458876146 approximately

x = 12.2

Make sure your calculator is in degree mode.

8 0

2 years ago

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Blizzard [7]

$0.\overline{7}=0.777...\\\\x=0.777...\qquad\text{multiply both sides by 10}\\\\10x=7.777...\\\\\text{Make the difference}\\\\10x-x=7.777...-0.777...\\\\9x=7\qquad\text{divide both sides by 9}\\\\x=\dfrac{7}{9}\\\\Answer:\ \boxed{0.\overline{7}=\dfrac{7}{9}}\\-----------------\\You\ can\ remember\\\\\dfrac{1}{9}=0.\overline{1}\\\\\dfrac{2}{9}=0.\overline{2}\\\\\dfrac{3}{9}=0.\overline{3}\\\\\dfrac{4}{9}=0.\overline{4}\\\vdots\\\\\dfrac{8}{9}=0.\overline{8}$