Answer:
20
Step-by-step explanation:
To solve this you have to make a system of equations.
Since the father and son's age sum up to 60, the first equation will be:
f + s = 60
Secondly, since the father's age is 5 times the age of the son 6 years ago the equation will be:
6 - (5s) = f
Now, you have to solve the first equation to let it equal to s
f + s = 60
f = 60 - s
Plug in
6 - 5s = 60 - s
+s +s
6 - 4s = 60
-6 -6
---------------------
-4s = 54
----- -----
-4 -4
s ≅ 14
14 + 6 = 20
Answer:
Caroline buys 3 packs of candles and 5 packs of holders.
Step-by-step explanation:
1.) You need to add numbers of candle packs together until they both reach the same number, for example, multiples of 30 are 30, 60, 90.
2.) Then you add multiples of the holders. 18, 36, 54, 72, 90.
3.) You find that Caroline buys 3 pakcs of candles and 5 packs of holders to have the same number of both.
Answer:
Answer is 81y^4z^4
Step-by-step explanation:
The expression is (-3yz) (-3yz) (-3yz) (-3yz).
Since all the four terms have power 1:
(-3yz)^1 (-3yz)^1 (-3yz)^1 (-3yz)^1
We know that we can add the powers if the terms have same base
So,
=(-3yz)^1+1+1+1
=(-3yz)^4
=(-3)^4(y)^4(z)^4.
If the power is an even number than the negative sign changes into positive sign.
=3^4y^4z^4
=81y^4z^4
Thus the answer is 81y^4z^4....
I agree with the person above, I also believe it is B, have a nice day, Merry Christmas
Answer:
The value of x is 200 in the equation 1/5x - 2/3y = 30, when y = 15
Step-by-step explanation:
<u>Given</u>
equation: x - 2/3y = 30
when y = 15
<em>Plug in y:</em>
1/5x - 2/3(15) = 30
1/5x - 10 = 30
<em>add</em> 10 to both sides,
1/5x - 10 + 10 = 30 + 10
1/5x = 40
<em>multiply</em> both sides by 5
1/5x * 5= 40 * 5
x = 200
