Answer: 13.18
Step-by-step explanation:
First we know that,
3x+15=5x-65 because of vertical angle thr.
y=y because of reflex property
there are 360 degrees in a circle so..
3x+15+5x-65+2y=360
3x+15=5x-65
x=40
so each 2 of the angles are...(40*3+15)=135
Then your new equation is
135+135+2y=360
2y=90
<u>y=45</u>
Hope this helps :)
Answer: A. 1 pound of cabbage will cost 40 cents. B. (10,4) means that 10 pounds of cabbage will cost 4 dollars.
Step-by-step explanation:
If it is proportional that means the y value divided by the x value will give you a constant slope.
So using that use the coordinates (5,2) to find the cost of 1 pound of cabbage.
2/5 = 0.4
so you could write the equation y= 0.4x where x is the number of pound.
Part A: y= 0.4(1)
y= $0.40 which means one pound of cabbage will cost 40 cents.
Part B. (10,4) in this case it will means that for 10 pounds of cabbage it will cost $4.
Plot it into the equation and find out
in the coordinates (10,4) 4 is the y and 10 is the x
4= 0.4(10)
4= 4
Which means it true that 10 pounds of cabbage will cost 4 dollars.
Answer:
m + n = 15
m - 3 = n
The numbers are 9 and 6
Step-by-step explanation:
From the question,
The sum of two numbers is fifteen; the first number is m and the second number is n. To translate to a system of equations, we can write that
m + n = 15 ..... (1)
Also, from the question,
One number is three less than the other,
Also, to translate to a system of equations, we can write that
m - 3 = n ...... (2)
If desired, we can determine m and n
From equation (1)
m + n = 15
Then,
m = 15 - n ...... (3)
Put the value of m in equation (3) into equation (2)
m - 3 = n
Then
15 - n - 3 = n
15 - 3 = n + n
12 = 2n
n = 12/2
∴ n = 6
For m, put the value of n into equation 3
m = 15 - n
m = 15 - 6
m = 9
∴ m = 9 and n = 6
Hence, the numbers are 9 and 6
