Answer:
x=8
Step-by-step explanation:
1
(x+2)=
2
1
(x−4)
Use the distributive property to multiply
5
1
by x+2.
5
1
x+
5
1
×2=
2
1
(x−4)
Multiply
5
1
and 2 to get
5
2
.
5
1
x+
5
2
=
2
1
(x−4)
Use the distributive property to multiply
2
1
by x−4.
5
1
x+
5
2
=
2
1
x+
2
1
(−4)
Multiply
2
1
and −4 to get
2
−4
.
5
1
x+
5
2
=
2
1
x+
2
−4
Divide −4 by 2 to get −2.
5
1
x+
5
2
=
2
1
x−2
Subtract
2
1
x from both sides.
5
1
x+
5
2
−
2
1
x=−2
Combine
5
1
x and −
2
1
x to get −
10
3
x.
−
10
3
x+
5
2
=−2
Subtract
5
2
from both sides.
−
10
3
x=−2−
5
2
Convert −2 to fraction −
5
10
.
−
10
3
x=−
5
10
−
5
2
Since −
5
10
and
5
2
have the same denominator, subtract them by subtracting their numerators.
−
10
3
x=
5
−10−2
Subtract 2 from −10 to get −12.
−
10
3
x=−
5
12
Multiply both sides by −
3
10
, the reciprocal of −
10
3
.
x=−
5
12
(−
3
10
)
Multiply −
5
12
times −
3
10
by multiplying numerator times numerator and denominator times denominator.
x=
5×3
−12(−10)
Do the multiplications in the fraction
5×3
−12(−10)
.
x=
15
120
Divide 120 by 15 to get 8.
x=8
Answer:
Jeremiah is correct
Step-by-step explanation:
The absolute value of both shows that Jeremiah got 2 and joseph got 3, on the number line 2 is closer to zero than three. Joseph is incorrect as he is trying to see who got the lower score without converting to the absolute value.
The formula used for this is the same one used to find interest accrued in a bank account that compounds continuously. The only difference is that our r here, the rate, is a negative number because the carbon is deteriorating over time, whereas money grows over time. That formula is this one:
![A=Pe^{rt}](https://tex.z-dn.net/?f=A%3DPe%5E%7Brt%7D%20)
where A is what's left in the end, P is the initial amount of carbon, r is the rate at which it deteriorates (sometimes a k in other formulas, but same thing!) and t is the time in years. For us, that formula, filled in, looks like this:
![A=32e ^{(-.00012)(4300)}](https://tex.z-dn.net/?f=A%3D32e%20%5E%7B%28-.00012%29%284300%29%7D%20)
First thing to do is to simplify that multiplication involving the exponents. Doing that gives us:
![A=32e ^{-.516}](https://tex.z-dn.net/?f=A%3D32e%20%5E%7B-.516%7D%20)
On your calculator, you have a 2nd button and an LN button. If you push 2nd and then LN you get this in your display:
![e ^{(}](https://tex.z-dn.net/?f=e%20%5E%7B%28%7D%20)
and it's up to you to add the exponent on the e. Our exponent is the -.516. So do that and then multiply that result by 32 to get that your answer is 19.1 g of carbon remaining.
Answer:
answer is 5
Step-by-step explanation:
She would distribute the 2/5. So you would multiply both the 10x and the 15y by 2/5