Answer:
5.5296
Step-by-step explanation:
to evaluate the expression 4x^4 y^3 we would substitute the value of x and y into it and evaluate. since x = 1/5 and y = 6
4x^4 y^3
4 × x^4 × 4× y³
4 × (1/5)∧4 × 4 × 6³
4× (0.2)∧4 × 4 × 216
4 × 0.0016 × 864
0.0064 × 864
5.5296
She spent 5.4 on tip so her overall total is $41.40
Answer:
2,500 different sets
Step-by-step explanation:
According to the scenario, calculation of the given data are as follows,
Let 4-digit PIN code be WXYZ
As first digit is a prime number
So, W = 1, 2, 3, 5, 7
n(W) = 5
X and Y are number from 0 - 9
So, n(X) = 10 & n(Y) = 10
Z makes the whole number divisible by 2.
So, Z must even number
So, Z = 0,2,4,6,8 or n(Z) = 5
We can calculate the number of different sets by using following formula,
n(W) × n(X) × n(Y) × n(Z)
By putting the value, we get
5 × 10 × 10 × 5 = 2,500
What do I need to find?
Your answer is correct.
What information do I need to use?
100% = 240 miles, she has already driven 15% of 240, so she has driven x miles.
How will I use the information?
Set up a proportion. If she has already driven 15% out of 100% of the distance, then you should write 
for the first fraction. This is proportional to 
. This means that 
. Wait, but this is confusing. How on Earth do we solve it? Let's take a closer look. If 
is supposed to equal 15/100, then this means that x/240 divided by 15/100 should give us the answer. So, even though it looks complicated, all you have to do is cross multiply like this:
Now isolate x:
So x = 36, which means she has already driven 36 out of 240 miles. Lucia still has to drive 204 miles to reach her destination.
1.) In this case, 56 = 100% and 25% of the sandwiches were tuna. This means that 75% of the sandwiches were not. If 
and you use the same method above, x is equal to 14. If 14 is 25% then that means the other 75% = 14 * 3. So 42 sandwiches were not tuna.
2.) 
--> 
---> 
He still has $270 left to pay.
If I was doing it I would split the parallelogram in half, and find the area of half of the shape and that should give you your answer. I'm so sorry if I'm wrong
