Answer:
x = -4/45
Step-by-step explanation:
180x=2(30÷3)+17-5•11+2÷1
We need to simplify the right hand side. The first step is the parentheses
180x=2(10)+17-5•11+2÷1
Then multiply and divide, working left to right from the equals sign.
180x=20+17-5•11+2÷1
180x=20+17-55+2÷1
180x=20+17-55+2
Now we add and subtract working left to right from the equals sign.
180x=37-55+2
180x =-18+2
180x = -16
Divide each side by 180
180x/180 = -16/180
x = -4/45
7 2/5 is a mixed number for 37/5.
-2 and 1.
Hope this helps!
Using a system of equations, it is found that the unit prices are:
- $2.25 for a bag of chips.
- $1.50 for a liter of pop.
- $1.75 for a chocolate bar.
For the system:
- x is the unit price of a bag of chips.
- y is the unit price of liter of pop.
- z is the unit price for a chocolate bar.
From the table, the equations are:
Replacing the <u>first equation on the second and the third:</u>
Since :
Then:
The unit prices are:
- $2.25 for a bag of chips.
- $1.50 for a liter of pop.
- $1.75 for a chocolate bar.
A similar problem, also solved using a system of equations, is given at brainly.com/question/14183076
Answer:
The distance of the point from the origin = 9.29 units.
Step-by-step explanation:
Given point:
(7,-6)
The angle lies such that the terminal side of the angle contains the given point.
To draw the angle and find the distance from the origin to the given point.
Solution:
The terminal side of the angle is where the angle ends with the initial side being the positive side of the x-axis.
So, we can plot the point (7,-6) by moving 7 units on the x-axis horizontally and -6 units on the y-axis vertically.
We can find the distance of the point from the origin by find the hypotenuse of the triangle formed.
Applying Pythagorean theorem.
Taking square root both sides :
Thus, the distance of the point from the origin = 9.29 units.
The figure is shown below.