would you please check these for me thank you.

+6+-5--4= 5
also Sara only has dimes and nichels in her coin jar,they are ina ratio of 3 to 5.If she has 120 coins in the jar,how many are dimes? 45 correct??

addition of integers is correct

2nd, yes.

Notice that 45 : 75 = 3 : 5

Let's check the first expression: +6 + (-5) - (-4).

To simplify this expression, we need to follow the order of operations, which is commonly known as PEMDAS (Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction).

1. First, let's simplify the double negative: -(-4) = +4.
The expression now becomes: +6 + (-5) + 4.

2. Next, we can add the positive and negative numbers together in the expression:
+6 + (-5) + 4 = +6 - 5 + 4.

3. Now, let's add the positive and negative numbers:
+6 - 5 + 4 = +5 + 4.

4. Finally, we add the two positive numbers:
+5 + 4 = 9.

So, the answer to the first expression +6 + (-5) - (-4) is 9.

Now, let's move on to the second question about Sara's coin jar.

Sara's coin jar contains dimes and nickels in a ratio of 3 to 5. If she has 120 coins in the jar, we can use the information about the ratio to figure out the number of dimes.

To solve this problem, we need to set up a proportion.

Let x be the number of dimes.
Then, the number of nickels will be 120 - x (since the total number of coins is 120).

The ratio of dimes to nickels is 3:5, which can be written as x/(120 - x) = 3/5.

To solve the proportion, we can cross-multiply:
5x = 3(120 - x).

Now, we can simplify and solve for x:
5x = 360 - 3x.
5x + 3x = 360.
8x = 360.
x = 360 / 8.
x = 45.

So, the number of dimes in Sara's coin jar is indeed 45.

I hope this helps! If you have any more questions, feel free to ask.