Answer:
The perimeter of a shape is the length around it.
Step-by-step explanation:
We will be using the x and y values and add them together to find the total perimeter.
To do this, let's find all the values of the 2 axis:
(2 to 4) = 2
(1 to 3) = 2
(4 to 10) = 6
(3 to 1) = 2
(10 to 12) = 2
(1 to 8) = 7
(12 to 2) = 10
(8 to 1) = 7
We now add these values together which gives us <em><u>38</u></em>. Don't forget to add the units afterwards (cm, m and so forth).
Here, we want to express the given fraction as a decimal by the use of long division
We start by writing the long division sign
We place 5 on the left hand side outside and place 4 inside the long division sign
Now, as we know, 4 cannot divide 5 wholly as it is less than 5
We simply add a 0 at the top of the long division symbol, with a decimal point after it.
Concurrently, we place a zero after 4
Hence we have 40 inside the long division
Then we can divide 40 by 5 to get 8
The 8 now comes after the decimal point
Hence, our answer is 0.8
Pictorally, we can have the representation as follows;
Answer:
100 ml of 5% solution
200 ml of 20% solution
Step-by-step explanation:
x = amount of 5% solution
y = amount of 20% solution
System of equations:
x + y = 300
.05x + .20y = 300(.15)
Solve by substitution: let y = 300 - x
.05x + .2(300-x) = 300(.15)
.05x + 60 - .20x = 45
-.15x = -15
x = 100, therefore y = 200
Answer:
D
Step-by-step explanation:
If a number is 40% more than another number, we can say that the new number is equivalent to the sum of the old number and 40% of the old number. Let's try to represent this as an equation. First, let's convert the percentage to a fraction:
Defining 
as the new number and 
as the old number, we can say:
Also, we can say:
To solve, let's substitute the first equation into the second equation for and simplify.
- Get terms over common denominator
We now have found the old number. Using the second equation we found near the beginning, let's find .
The numbers are 35 and 49.
