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3 years ago

Three times the sum of a number and eight is four more than twice the sum of the number and six. Write and solve the equation.

Mathematics

2 answers:

Marina CMI [18]3 years ago

4 0

3(x+8)=4+2(x+6)

3x+24=4+2x+12 (distribute or get rid of the parenthesis by multiplying)

3x-2x=4=12-24 (subtract 2x from both sides, then subtract 24 from both sides)

x=-8 (simplify)

Scrat [10]3 years ago

4 0

There ya go! We went over this in Algebra a while back

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A catapult launches a boulder with an upward velocity of 120 ft/s. The height of the boulder, h,

Vlad1618 [11]

Answer:

Reaches a maximum height of 235.00 feet in 3.75 seconds.

Step-by-step explanation:

The height of the boulder, h, in feet after t seconds is given by the function is given by :

$h=-16t^2+120t+10$ .....(1)

For maximum height, put $\dfrac{dh}{dt}=0$

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$\dfrac{d(-16t^2+120t+10)}{dt}=0\\\\-32t+120=0\\\\32t=120\\\\t=3.75\ s$

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3 years ago

The age of a boy is twice that of his sister. five years ago the boy was 3 times the age of his sister. How old is the boy

joja [24]

Answer:

<h2>20 years old.</h2>

Solution,

Let the age of sister be X

Let the age of boy be 2x

Now,

Five years ago,

 $3(x - 5) = 2x - 5 \\ or \: 3x - 15 = 2x - 5 \\ or \: 3x - 2x = - 5 + 15 \\ x = 10$ 

Again,

Replacing value,

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hope this helps..

Good luck on your assignment..

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3 years ago