Step 1: Set up the proportion
4/12 = 10/x
Step 2: Cross multiply to get
120 = 4x
Step 3: Divide all by 4 to get
30 = x
Answer: So in total, 10 students would spend $30 on lunch!
301
We could start by finding the lowest common multiple of 2, 3, 4, 5, and 6, which is 60. Then, we can consider the next few multiples: 120, 180, 240, 300...
However, because we need a remainder of 1 when our number is divided by each of these numbers (2,3,4,5,6), we want to go one above each of these multiples. So we're talking about 61, 121, 181, 241, 301... Those are the numbers that will satisfy the "remainder of 1" part of the question.
Now, we need to find out which one satisfies the other part of the question, which just requires dividing each of these numbers by 7 to see which is divisible by 7 (in other words, which one gives us a remainder of zero when we divide by 7).
301 does it. 301/7 = 43. So 301 is a multiple of 7 and therefore will yield no remainder when divided by 7.
Hope this all makes sense.
820 + .06(820)
820 + 49.2
869.2
The cost of the car is $869.20.
A perfect square must be hidden within all of those radicands in order to simplify them down to what the answer is.
.
.
. The rules for adding radicals is that the index has to be the same (all of our indexes are 2 since we have square roots), and the radicands have to be the same. In other words, we cannot add the square root of 4 to the square root of 5. They either both have to be 4 or they both have to be 5. So here's what we have thus far:
. We can add
and
to get
. That means as far as our answer goes, A = 72 and B = 4, or (72, 4), choice a.
Answer:
Polynomials will be closed under an operation if the operation produces another polynomial. When adding polynomials, the variables and their exponents do not change. ... When subtracting polynomials, the variables and their exponents do not change. Only their coefficients will possibly change.
Step-by-step explanation:
