Answer:
Step 1
Can you add yet? Nope! The denominators don't match. We need a common denominator. So next we take both denominators and multiply them. Next, take each numerator and multiply it by the denominator of the other term.
So, we multiply 1 by 2, and get 2, then we multiply 7 by 2 and get 14.
1/7 times 2
Now for the second term. You multiply 1 by 7, and get 7, then multiply 7 by 2 and get 14.
1/2 times 7
We now have a new problem, that looks like this:
2/14 + 7/14
Step 2
Since our denominators match, we can add the numerators.
2 + 7 = 9
Answer:
9/14
Step-by-step explanation:
Answer:
The amount of time that Sarah sleeps is 6<x<8
Step-by-step explanation:
Mathematical inequality is that proposition that relates two algebraic expressions whose values are different. It is a proposition of relation between two different elements, either by greater, lesser, greater or equal inequality, or less or equal.
A compound inequality (or combined inequality) is two or more inequalities joined with or and and.
When two inequalities are joined with and, they are often written as a double inequality.
You know that teenagers should sleep between 8 and 10 hours per night.. Being x the number of hours slept per night, this can be represented by the following double inequality:
8<x<10
If Sarah normally sleeps 2 hours less per night, this indicates that she sleeps between (8-2) and (10-2) hours per night, that is, between 6 and 8 hours. Represented by a double inequality, Sarah normally sleeps:
6<x<8
<u><em>The amount of time that Sarah sleeps is 6<x<8</em></u>
Answer:
38,095.24
Step-by-step explanation:
40,000 = P(1 + 0.05)^1
P = 40,000/1.05
P = 38095.2380952
Answer:
Step-by-step explanation:
Given equation:
Factor out 3 from the first 2 terms:
Divide the coefficient of x by 2 and square it: (-3 ÷ 2)² = 9/4
Add this inside the parentheses and subtract the distributed value of it outside the parentheses:
Factor the parentheses and combine the constants:
Yes
When you add x+4 + x it equals 2x +4
For the other square, when you add x+2 and x+2 it equals 2x+4
Perimeter is the same, the only thing that is different is the way the sides are written.
