For 7 to 9, substitute each answer in to the two equations.
Answer: y=5x
Step-by-step explanation: Slope= 10/2=5 Plugged it in equation y=mx+b and solved for b to get b=0
Answer: 13.2 grams .
Step-by-step explanation:
We are given that ,
In nuclear fusion, about 0.60% of the mass of the fusing substances is converted to energy.
When 22 kilograms of substance undergoes fusion , then the mass of the fusing substances is converted to energy. = 0.06% of (22 kilograms)
Convert % into decimal by dividing it by 100 and replace 'of ' by multiplication operator (x) , we get
Mass of the fusing substances is converted to energy. = ![\dfrac{0.06}{100}\times22=0.0132\ kg](https://tex.z-dn.net/?f=%5Cdfrac%7B0.06%7D%7B100%7D%5Ctimes22%3D0.0132%5C%20kg)
Since 1 kilogram = 1000 grams.
Therefore , Mass of the fusing substances is converted to energy. =![0.0132\times1000 =13.2\ g](https://tex.z-dn.net/?f=0.0132%5Ctimes1000%20%3D13.2%5C%20g)
Hence, 13.2 grams of mass is converted into energy when 22 kilograms of substance undergoes fusion.
Answer:
x = 20
Step-by-step explanation:
Use Pythagorean Theorem to solve for x:
a^2 + b^2 = c^2
Plug in given values if a = 12, b = 16, and c = x (x is hypotenuse)
12^2 + 16^2 = x^2
(12*12) + (16*16) = x^2
144 + 256 = x^2
400 = x^2
Take square root of both sides to solve for x
sqrt(400) = sqrt(x^2)
20 = x or x = 20
Answer:
Amanda has 20, Rob has 45
Step-by-step explanation:
Amanda has ten fewer rocks than Andrew, 30-10=20
Rob has 15 more rocks than Andrew, 30+15=45