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4 years ago

The ages of Carolyn and her dad ,Caleb, sum to 75. Carolyn is half as old as her father. Find the ages of Carolyn and Caleb

1 answer:

4 0

Dad = d
Carolyn = 1/2d
1/2d + d = 75
d = 50

1/2(50) + 50 = 75
25 + 50 = 75
75 = 75

Carolyn = 25 years
Caleb = 50 years

Hope this helps =)

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bija089 [108]

Answer:

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Step-by-step explanation:

Given function:

h(t) = -16t^2 + 208t + 3

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h = -208/2(-16) = 6.5 seconds

b) Time the ball was in the air:

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Solve: -3= 12x - 5(2x - 7) X = -19 19 71 = =-11 10 11 I= 19

alexgriva [62]

Answer:

$\boxed{ \bold{ \huge{ \boxed{ \sf{x = - 19}}}}}$

Step-by-step explanation:

$\sf{ - 3 = 12x - 5(2x - 7)}$

Distribute 5 through the parentheses

⇒ $\sf{ - 3 = 12x - 10x + 35}$

Collect like terms

⇒ $\sf{ - 3 = 2x + 35}$

Swap the sides of the equation

⇒ $\sf{2x + 35 = - 3}$

Move 45 to right hand side and change it's sign

⇒ $\sf{2x = - 3 - 35}$

Calculate

⇒ $\sf{2x = - 38}$

Divide both sides of the equation by 2

⇒ $\sf{ \frac{2x}{2} = \frac{ - 38}{2} }$

Calculate

⇒ $\sf{x = - 19}$

Hope I helped!

Best regards!!

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