Answer:
![Age\ of\ Henry=40\ years\\\\Age\ of\ Cheryl=17\ years](https://tex.z-dn.net/?f=Age%5C%20of%5C%20Henry%3D40%5C%20years%5C%5C%5C%5CAge%5C%20of%5C%20Cheryl%3D17%5C%20years)
Step-by-step explanation:
![Let\ age\ of\ Cheryl=x\\\\Henry\ is\ 6\ more\ than\ two\ times\ age\ of\ Cheryl\\\\\Rightarrow Age\ of\ Henry=2\times x+6=2x+6](https://tex.z-dn.net/?f=Let%5C%20age%5C%20of%5C%20Cheryl%3Dx%5C%5C%5C%5CHenry%5C%20is%5C%206%5C%20more%5C%20than%5C%20two%5C%20times%5C%20age%5C%20of%5C%20Cheryl%5C%5C%5C%5C%5CRightarrow%20Age%5C%20of%5C%20Henry%3D2%5Ctimes%20x%2B6%3D2x%2B6)
After 10 years:
![Age\ of\ Cheryl=x+10\\\\Age\ of\ henry=2x+6+10=2x+16\\\\Sum\ of\ age=77\\\\x+10+2x+16=77\\\\3x+26=77\\\\3x=77-26\\\\3x=51\\\\x=17\\\\Age\ of\ Cheryl=17\ years\\\\Age\ of\ Henry=2\times 17+6=34+6\\\\Age\ of\ Henry=40\ years](https://tex.z-dn.net/?f=Age%5C%20of%5C%20Cheryl%3Dx%2B10%5C%5C%5C%5CAge%5C%20of%5C%20henry%3D2x%2B6%2B10%3D2x%2B16%5C%5C%5C%5CSum%5C%20of%5C%20age%3D77%5C%5C%5C%5Cx%2B10%2B2x%2B16%3D77%5C%5C%5C%5C3x%2B26%3D77%5C%5C%5C%5C3x%3D77-26%5C%5C%5C%5C3x%3D51%5C%5C%5C%5Cx%3D17%5C%5C%5C%5CAge%5C%20of%5C%20Cheryl%3D17%5C%20years%5C%5C%5C%5CAge%5C%20of%5C%20Henry%3D2%5Ctimes%2017%2B6%3D34%2B6%5C%5C%5C%5CAge%5C%20of%5C%20Henry%3D40%5C%20years)
Answer:
32.5
Step-by-step explanation:
23x6÷4-2 and that's how you get your answer
Answer:
c
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
here m = 3 and c = 2, thus
y = 3x + 2 → c
Answer:
4
Step-by-step explanation:
(y+2)^2
Let y = -4
(-4+2)^2
Parentheses first
(-2)^2
Exponents
4
Answer:the present age of the father is 45 years
Step-by-step explanation:
Let x represent the present age of the father.
Let y represent the present age of the son.
Let z represent the age of the daughter.
A father is 3 times as old as his son. This means that
x = 3y
his daughter is 3 years younger than the son. It means that
z = y - 3
The sum of their ages 3 years ago was 63. This means that
x - 3 + y - 3 + z - 3 = 63
x + y + z - 9 = 63 - - - - - - - - - - 1
Substituting x = 3y and z = y - 3 into equation 1, it becomes
3y + y + y - 3 - 9 = 63
5y - 12 = 63
5y = 63 + 12 = 75
y = 75/5 = 15
x = 3y = 3 × 15
x = 45
z = y - 3 = 15 - 3
z = 12