The salestax on an item that is 25.60 dollars is 1.325 dollars.
A fraction is written in the form of p/q, where q ≠ 0.
There are two types of fractions one is a proper fraction and another one is an improper fraction.
In proper fractions, the numerator is smaller than the denominator and in improper fractions, the numerator is greater than the denominator.
Given, sales tax for a certain state can be found by multiplying the purchase price by 1/20.
∴ Sales tax on an item that is 25.60 is 25.60×1/20.
= 1.325 dollars.
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Answer:
x
Step-by-step explanation:
5x+12=5x+12
12-12=5x-5x
x
Answer:
A and B.
Step-by-step explanation:
The original expression is 3x+2(x-1)-4, so let's simplify it to obtain an equivalent expression:
First we destroy the parenthesis applying distributive property:
3x+2x-2-4, so option A is correct.
Then, add the similar terms (3x can be added with 2x and -2 can be added with -4):
5x-6, so option B is also correct.
C is not correct because 3(x-4) = 3x-12 ≠ 5x-6.
D is not correct because 3(x + 2) - 6 = 3x+6-6 = 3x ≠ 5x-6.
E is not correct because 6(x - 1) = 6x-6 ≠ 5x-6.
Then, correct options are A and B.
y=1/2x^2-4
B. m = 4
C. m = –5
D. m = 5
The solution of expression 4m + 9 + 5m - 12 = 42 by combining like terms is,
⇒ m = 5
Given that,
A mathematical expression is,
⇒ 4m + 9 + 5m - 12 = 42
Now, simplify the expression by combining like terms and solve for m as,
⇒ 4m + 9 + 5m - 12 = 42
Combine like terms,
⇒ 9m - 3 = 42
Add 3 on both sides,
⇒ 9m = 42 + 3
⇒ 9m = 45
Divide by 9 on both sides,
⇒ m = 45/9
⇒ m = 5
So, the solution is,
⇒ m = 5
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Answer: The probability is P = 0.20
Step-by-step explanation:
The data that we have is:
Total books = 400
If the number of non fiction books is Nf and the number of fiction books is F, we have that:
F = Nf + 40
So here we have a system of equations:
Nf + F = 400
F = Nf + 40
we can replace the second equation in the first one, and solve it for Nf.
Nf + (Nf + 40) = 400
2*Nf + 40 = 400
2*Nf = 400 - 40 = 360
Nf = 180
So we have 180 non-fiction books.
We want to calculate the probability of picking at random two non-fiction books.
When Audrey picks one, the probabilty is equal to the number of non-fiction books divided the total number of books:
p1 = 180/400
for Ryan we have the same, but the number of books is 399 now (Because Audrey already took one), and the number of non-fiction books is 179.
p2 = 179/399
The probabiliy for both events to happen is:
P = p1*p2 = (180/400)*(179*399) = 0.20