Answer:
12
Step-by-step explanation:
2*6=12
You can solve this using proportion.
5 = 4
7 = ?
7(4)/5= 5.6
7 cakes cost £5.6
Start by identifying any factor of 50 and then rewriting 50 to include that one factor and another:
50 = 5 * 10 5 is prime, but 10 is not. Thus, factor 10:
50 = 5 * 5 * 2 This is 50 as a product of its prime factors 5, 5 and 2.
Answer:
(A) x=40
Step-by-step explanation:
Given: It is given that m is parallel to n.
To find: The value of x.
Proof: It is given that m is parallel to n, from the figure it can be seen that 105° and (3x-15)° forms alternate exterior angles which are equal in measure because m is parallel to n.
Thus, ![105^{\circ}=3x-15^{\circ}](https://tex.z-dn.net/?f=105%5E%7B%5Ccirc%7D%3D3x-15%5E%7B%5Ccirc%7D)
⇒![105^{\circ}+15^{\circ}=3x](https://tex.z-dn.net/?f=105%5E%7B%5Ccirc%7D%2B15%5E%7B%5Ccirc%7D%3D3x)
⇒![120^{\circ}=3x](https://tex.z-dn.net/?f=120%5E%7B%5Ccirc%7D%3D3x)
⇒![\frac{120}{3}=x](https://tex.z-dn.net/?f=%5Cfrac%7B120%7D%7B3%7D%3Dx)
⇒![x=40](https://tex.z-dn.net/?f=x%3D40)
Thus, the value of x is 40, hence option A is correct.
Answer:
The Answer is: y = -2/3x + 10/3
Step-by-step explanation:
Given points (-1, 4) and (8, -2) first find the slope:
m = (y - y1)/(x - x1)
m = (4 - (-2)) / (-1 - 8)
m = 4 + 2 / -9
m = -6/9 = -2/3
Use the point slope form and point (8, -2) and slove for y:
y - y1 = m(x - x1)
y - (-2) = -2/3(x - 8)
y + 2 = -2/3x + 16/3
y = -2/3x + 16/3 - 2
y = -2/3x + 16/3 - 6/3
y = -2/3x + 10/3
Proof using the point (-1, 4):
f(-1) = -2/3(-1) + 10/3
= 2/3 + 10/3
= 12/3 = 4, giving point (-1, 4)
Hope this helps! Have an Awesome Day!! :-)