The largest rational number in the list is -6/5 and it is the third number line.
Answer:
30
Step-by-step explanation:
We can determine the number of different sets of reports by determining how many possible options are available per subject and then multiplying them.
There are 5 total options for geography, 3 for English, 1 for sciences, and 2 for maths. Multiplying these gets us 30.
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We need to swap the numerator and denominator, and change the sign of one of them to get a perpendicular slope.5x + 10y = c. Now subtract the point.
5(-4) + 10(7) = -20 + 70 = 50 = c
5x + 10y = 50 is an equation. If we want, we can divide everything by 5 to get x + 2y = 10.The more usual way to do these is put the equation in slope-intercept form by solving for y. 10x-5y=8 -5y = -10x + 8 y = 2x - 8/5 Now you have the slope of the original line, 2. Any line perpendicular to this one must have a slope that is the negative reciprocal of this one, -1/2 So this new line must be y = -1/2 x + c .Now subtract in point to solve for c.
7 = (-1/2)(-4) + c 7 = 2+c
5 = c
y = -1/2 x + 5
The first time we solved we got this.
x + 2y = 10 but, if we divide everything by 2, we get 1/2 x + y = 5 So... subtract 1/2 x from both sides and you have identical equations. So the two are equivalent. The answer is y = -1/2 x + 5
Hope this helped!
Multiplying Decimals
If you already know how to multiply, then multiplying decimals will be easy, there is just one extra step you need to take.
First, you multiply the numbers just like normal, as if the decimal point wasn't there.
Next, you need to add in the decimal point to the answer. This is the only tricky part. You add up the decimal places there are in the numbers you multiplied. Then you put that many decimal places in the answer.
Let's try some examples:
1) 4.22 x 3.1 = ?
If you first just multiply 422 x 31 you get
422
x 31
13082
Now, there are 2 decimal places in 4.22 and 1 decimal place in 3.1. This is a total of 3 decimal places. We then put three decimal places in 13082 and we finally get the answer:
13.082
1) 4.220 x 3.10 = ?
To show how the decimal part works, we'll solve the same problem again, but this time we will add a zero to the right of each number we multiply. This doesn't change the value of the numbers, so it shouldn't change the answer we get.
First we multiply without worrying about the decimals:
4220
x 310
1308200
Now, we count the total amount of decimals. There are 5 total decimals places this time. If we count over 5 decimal places from the end of 1308200 we get the same answer:
13.08200
Note: the extra zeros to the right of the decimal point do not change the value of the number.
Dividing Decimals
When you are dividing a number with a decimal point by a whole number, dividing decimals is pretty simple.
Divide the number as you normally would, using long division.
Bring the decimal point directly up from the dividend.
Example:
9.24 ÷ 7 = ?
If both divisor and dividend are decimals:
If the divisor is a decimal number rather than a whole number, then you need to take an extra step. In this step you convert the divisor from a decimal number to a whole number. You do this by moving the decimal point to the right in the divisor until there are no more numbers other than zero to the right of the decimal point. Then you move the decimal point to the right the same number of places in the dividend.
Example of moving the decimal point for division:
9.24 ÷ 7.008
You want the divisor 7.008 to be a whole number, so you need to move the decimal point 3 places to the right:
7008
Now you need to move the decimal point for the dividend 3 places to the right:
9240
In this case you have to add a zero to move it 3 places.
Now you divide 9240 by 7008 to get the answer:
Example:
0.64 ÷ 3.2 = ?
First move the decimal points so the divisor is a whole number:
6.4 ÷ 32 = ?
Important things to remember:
Move the decimal point directly up in your long division.
Always move the decimal points on BOTH to divisor and the dividend to where the divisor is a whole number.
hope this helps!! tell me if you need more assistance!!
Answer:
11.8 % empty
Step-by-step explanation:
volume of cylinder : pi × r² × h
attention ! the question gives us diameter, so for radius we need to cut them in half.
Va = pi × (14/2)² × 9 = pi×49×9 = 1385.44236... ft³
Vb = pi × (10/2)² × 20 = pi×25×20 = 1570.79633... ft³
after filling B with everything in A there is still some empty volume in B
Vb empty = Vb - Va = 185.35397... ft³
so,
100% Vb = 1570.79633... ft³
1% Vb = 15.7079633... ft³
so, how often does 1% of the total volume of B fit into the remaining empty volume of B ?
185.35397... / 15.7079633... = 11.8%
