Answer:
Line nine and ten are straight
Step-by-step explanation:
Draw a straight line through nine and ten
Answer:
Step-by-step explanation:
ratio of blue marbles to white marbles = 4:5
15/5=3
4x3:5x3
ratio if there are 15 white marbles= 12:15
denoting that 12 blue marbles would be there
Answer:
![Length =5](https://tex.z-dn.net/?f=Length%20%3D5)
![Width = 2](https://tex.z-dn.net/?f=Width%20%3D%202)
Step-by-step explanation:
Given
![Length =x](https://tex.z-dn.net/?f=Length%20%3Dx)
![Width = x -3](https://tex.z-dn.net/?f=Width%20%3D%20x%20-3)
![Area = 10](https://tex.z-dn.net/?f=Area%20%3D%2010)
![x(x-3) =10](https://tex.z-dn.net/?f=x%28x-3%29%20%3D10)
See comment for missing part of the question
Required
Complete the expression to determine the dimension of a rectangle
We have:
![x(x-3) =10](https://tex.z-dn.net/?f=x%28x-3%29%20%3D10)
Open bracket
![x^2 -3x = 10](https://tex.z-dn.net/?f=x%5E2%20-3x%20%3D%2010)
Equate to 0
![x^2 -3x - 10 =0](https://tex.z-dn.net/?f=x%5E2%20-3x%20-%2010%20%3D0)
Expand
![x^2 + 2x - 5x - 10 = 0](https://tex.z-dn.net/?f=x%5E2%20%2B%202x%20-%205x%20-%2010%20%3D%200)
Factorize
![x(x + 2) - 5(x + 2) = 0](https://tex.z-dn.net/?f=x%28x%20%2B%202%29%20-%205%28x%20%2B%202%29%20%3D%200)
Factor out x + 2
![(x - 5)(x + 2) = 0](https://tex.z-dn.net/?f=%28x%20%20-%205%29%28x%20%2B%202%29%20%3D%200)
Solve for x
or ![x + 2 = 0](https://tex.z-dn.net/?f=x%20%2B%202%20%3D%200)
or ![x = -2](https://tex.z-dn.net/?f=x%20%3D%20-2)
The value of x cannot be negative
So:
![x = 5](https://tex.z-dn.net/?f=x%20%20%3D%205)
Recall that:
![Length = x](https://tex.z-dn.net/?f=Length%20%3D%20x)
![Width = x - 3](https://tex.z-dn.net/?f=Width%20%3D%20x%20-%203)
So:
![Length =5](https://tex.z-dn.net/?f=Length%20%3D5)
---- i.e. 5 - 3
Answer:
$9 for 36
Step-by-step explanation:
Divide the price by the quantity to receive the unit price. Here are the unit prices for each option:
1. $0.54
2. $0.43
3. $0.31
4. $0.28
5. $0.25
Basically, you want the lowest price. So, $9 for 36 is the best value because it costs $0.25 per pen.
This is the concept of scale factors; The length of the larger figure will be calculated as follows;
linear scale factor=[length of larger figure]/[length of smaller figure]
plugging the values in the above formula we get:
let the length of the larger figure be x;
thus;
x/12=4/3
multiplying both sides by 12 to solve for x we get:
12*x/12=4/3x12
x=16
thus the length of the larger figure is x=16