13/15 of her allowance was spent in total.
To solve this, you'd need to find the least common denominator (LCD) so that both fractions have the same number on the bottom. In this case, the first number that you could get with 5 and 3 was 15.
Next, you'd have to multiply the numerator by the same amount as the denominator, so that the fractions are proportionate. So, for 1/5, since we had to multiply 5 by 3 to get 15, we'd multiply 1 by 3 as well, giving us 3/15. Doing the same with 2/3, we'd get 10/15.
Then, you add the two fractions together (10/15 + 3/15 = 13/15).
Now, in any other case, you could probably simplify the fraction after you've solved the problem. If we got 12/15 instead of 13/15, then we could simplify that to 4/5, since both 12 and 15 are divisible by 3. But in this case, this is the simplest form of that fraction.
Hope this helped!!!
Answer:
x + 1
Step-by-step explanation:
There are a few ways this problem could be solved. The easiest route is to note that the first part of the question says "2 consecutive numbers". If the numbers are next to each other on a number line (consecutive) and x is the smaller number, the larger number is x + 1.
To check, let's find the two numbers. We know the numbers are next to each other on a number line and that together, they equal 37. Let's begin with 15 and 16.
15 + 16 = 31
These numbers are too low, as they should add to 37. Let's try 18 and 19.
18 + 19 = 37
There are the two correct numbers. If x = the smaller number, x = 18.
18 + 1 = 19
Since this is correct, we know for sure that the answer is x + 1.
Answer:
The property of polynomial addition that says that the sum of two polynomial is always a polynomial is called closure property of addition or under addition.
Polynomials are closed under addition because when you add polynomials the letters and their exponents do no change, you just add the coefficients of the like terms (those with same letters raised to the same exponents), so the result will be other polynomial of the same kind, except for the terms that cancel (positive with negative) which does not change the fact that the result is still a polynomial.
In mathematics the closure property means that the result of an operation over a kind of "number" will result in a "number" of the same kind.
Answer:
<u>D</u>
Step-by-step explanation:
The logical step is to <u>factorize the left side of the equation</u>, which becomes:
Then, you can take the square root on both sides.
Not asked, but good to understand the procedure regardless.
Answer:
m = 200 miles
Step-by-step explanation:
Rental Co. A: A(m) = $35 + ($0.10/mile)(m), where m is the number of miles driven
Rental Co. B: B(m) = $25 + ($0.15/mile)(m)
Set these two dollar amounts equal to each other and solve for m:
$25 + ($0.15/mile)m = $35 + ($0.10/mile)(m). Combine like terms, obtaining:
($0.05/mile)m = $10; then m = ($10) / ($0.05/mile), or 200 miles.
The price charged by the two companies would be the same when the car has been driven 200 miles.
