Answer:
44 years old
Step-by-step explanation:
Let the age of Jasper be j years old now.
<u>Now</u><u>:</u>
Jasper➣ j
Simon ➣ j/2
<u>1</u><u>2</u><u> </u><u>years</u><u> </u><u>ago</u><u>:</u>
Jasper➣ j -12
Simon➣ j/2 -12
Given that Simon's age=⅕(Jasper's age),
j/2 -12= ⅕(j -12)
<em>Multiply</em><em> </em><em>by</em><em> </em><em>5</em><em> </em><em>on</em><em> </em><em>both</em><em> </em><em>sides</em><em>,</em>
2.5j -60= j -12
2.5j -j= 60 -12
<em>Simplify</em><em>:</em>
1.5j= 48
<em>÷</em><em>1.5</em><em> </em><em>on</em><em> </em><em>both</em><em> </em><em>sides</em><em>:</em>
j= 48 ÷1.5
<em>Simplify:</em>
j= 32
<u>12 years time:</u>
Jasper➣ j +12
Thus, Jasper's age
= 32 +12
= 44
Answer:
x = 1/4
Step-by-step explanation:
in order to evaluate for the value of x in the equation 5( 4x + 2) + 10 = 25
we are going to open the bracket the combine the like terms together and evaluate.
solution
5 (4x + 2) + 10 = 25
20x + 10 + 10 = 25
combine the like terms
20x = 25 - 10 -10
20x = 5
divide both sides by the coefficient of x
20x/20 = 5/20
x = 1/4
therefore the value of x in the expression 5 4x + 2) + 10 = 25 is evaluated to be 1/4
Answer:
y = 4
Step-by-step explanation:
4*y = 4y
4*4 = 16
4y+16=32
to get 4y alone, we subtract 16 from 32.
32-16 = 16
4y = 16
to get y alone, we divide 4 by 16
16/ 4 = 4
so, y = 4
The answer is b, if you add 6 to both sides you are left with x is greater than or equal to 16, which is not graphed above.
Answer:

Step-by-step explanation:
The function

gives the mass of the car as a function of the number of passengers in it.
And the function

gives the potential energy of the car as a function of the car's mass.
Now if the height of the ramp is 30 meters, we have


And to find the potential energy as a function of the number of passengers, we just substitute
into
to get:


which gives the potential energy as a function of the number of passengers.