Answer:
See explanation
Step-by-step explanation:
The 20% off sale is a better deal because 20% off of $1500 will cost $1200. (See work).
However, the 200 or 150 dollars off will cost $1300-1350. Thus, the better deal for the dining room set is to use the 20% off.
If their budget is $1250, they will be $50 under budget because they would be paying $1200 for the set.
Work:
1500 x 20%
1500 x 0.20 = 300
1500-300= $1200
1500-150= 1350
1500-200= 1300
There are two chances of getting one tails: if the first toss is heads and the second toss is tails OR if the first toss is tails.
The probability of the first toss to be head AND the second toss to be tails is 1/2 × 1/2, which equals 1/4.
The probability of getting a tails on the first toss is 1/2.
When dealing with probabilities, AND means multiply and OR means add. Therefore, this problem is: (heads AND tails) OR (tails). The probability of a coin landing on heads is 1/2 and the probability of a coin landing on tails is 1/2. Therefore, the equation is (1/2 × 1/2) + (1/2), which is 3/4.
Answer:
The answer should have positive sign.
Step-by-step explanation:
First you do is divide by -6 from both sides of an equation.
Then, simplify and solve the problem.
Next, you switch sides.
You subtract by 2 from both sides of an equation./
Finally, solve/simplify.
A=6 is the correct answer.
Hope this helps you!
Have a nice day! :)
Answer:
us set up the following variables:
⎧
⎪
⎪
⎪
⎪
⎨
⎪
⎪
⎪
⎪
⎩
l
Length of Rectangle (cm)
w
Width of Rectangle (cm)
A
Area of Rectangle (
c
m
2
)
t
Time (s)
We are told that:
d
l
d
t
=
8
cm/s (const), and,
d
w
d
t
=
3
cm/s (const)
The Area of the rectangle is:
A
=
l
w
Differentiating wrt
t
(using the product rule) we get;
d
A
d
t
=
(
l
)
(
d
w
d
t
)
+
(
d
l
d
t
)
(
w
)
∴
d
A
d
t
=
3
l
+
8
w
So when
l
=
20
and
w
=
10
⇒
d
A
d
t
=
3
⋅
20
+
8
⋅
10
∴
d
A
d
t
=
60
+
80
∴
d
A
d
t
=
140
cm
