Tim is twice as old as his son. In six years, Tim s age will be three times what his son s age was six years ago. How old is tim s son now?

Answers

Answer 1

Answer: x - Tims age
y - sons age
now : x=2y
in six years: x+6=3(y-6)
we subsitude to second equation x=2y
2y+6=3y-18
-y=-24 /:(-1)
y=24
x=2*24=48
Now Tims son is 24 years old

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Answers

Answer:

Jesus loves you

A 2-liter bottle of soda contains how many milliliters?

Answers

Answer: 2000

Step-by-step explanation: there are 1000 mililiters in every liter

2,000ml. one liter = 1,000ml

A force (F) applied to an object of mass m1 produces an acceleration of 3.00 m/s^2. The same force applied to a second object of mass m2 produces an acceleration of 1.00 m/s^2.

a) what is the value of the ratio m1/m2?

b) if m1 and m2 are combined into one object, what is its acceleration under the action of the force

Answers

Force is the product of mass and acceleration

The ratio m1/m2 is 1/3
The acceleration is 3/4

(a) The ratio m1/m2

Force is calculated as:

$F = ma$

For the first object, we have:

$F = m_1 * 3$

For the second object, we have:

$F = m_2 * 1$

The forces on both objects are equal.

So, we have:

$m_1 * 3 = m_2 * 1$

Divide both sides by 3m2

$(m_1)/(m_2)= (1)/(3)$

Hence, the ratio m1/m2 is 1/3

(b) The acceleration when the masses are combined

In (a), we have:

$(m_1)/(m_2)= (1)/(3)$

Make m2 the subject

$m_2 = 3m_1$

Recall that:

$F = ma$

So, we have:

$F =(m_1 +m_2) * a$

Substitute $m_2 = 3m_1$

$F =(m_1 +3m_1) * a$

$F =4m_1 * a$

Substitute $F = m_1 * 3$ --- because the force is the same

$m_1 * 3 =4m_1 * a$

Cancel out m1

$3 =4 * a$

Divide both sides by 4

$a = \frac 34$

Hence, the acceleration is 3/4

Read more about force and acceleration at:

brainly.com/question/13370981

a) using f=ma, F=m1 x 3.00 =3m1
also F=m2 x 1.00 = m2
as the Fs are the same: 3m1=m2
this means that the ratio of m1 to m2 is 3 to 1 as there are 3 m1s for every m2.
b) again using f=ma, the combination of the masses is m1 + m2 or 4m1 as there are 3m1s in m2. so F=4m1 x a = 3m1 (as F is the same for all of them).
a = 3m1/4m1 = 3/4ms^-2

Square root of 7x plus the square root of 28x

Answers

$√(7x) + √(28x) \n√(7x) + √(4 * 7x) \n√(7x) + √(4)√(7x) \n√(7x) + 2√(7x) \n3√(7x)$

Which equation is equivalent to the equation 6x + 9=12

Answers

Answer:

the answer is 1/2

Step-by-step explanation:

i solved it

A cone has a volume of 36π ft^3. The height of the cone is 12 ft. Find the diameter of the base of the coneRound to one decimal place if necessary.

Answers

Answer: 6 feet

Step-by-step explanation:

Hi, to answer this question we have to apply the next formula:

Volume of a cone= (1/3) π radius² height

Replacing with the values given and solving for r:

36π = (1/3) π r² 12

36π/ [(1/3) π 12]= r²

9 = r²

√9 =r

3 ft = r

Since:

Diameter = 2 x radius

Substituting r=3

D = 2x 3

D = 6 feet

Feel free to ask for more if needed or if you did not understand something.

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