Answer:
25 is the answer
Step-by-step explanation:
21 23 25
Given:
weight of mixture : 1792 ounces
output of mixture : 560 bars of soap
to get the weight per unit, we simply divide by total weight by the total number of output.
1792 oz / 560 bars = 3.2 ounces per bar.
5/8 * 4/5
5*4 20 1
----- = ----- = ---
8*5 40 2
5/8 * 4/5 = 1/2 or .5
Answer:
x = 21
Step-by-step explanation:
The sum the the interior angles of a triangle is 180°.
We know that the three angles of the triangle is 100°, x° - 4, and 3x°.
The sum of 100°, x° - 4, and 3x° must equal 180°. We can turn this into the equation:
100 + x - 4 + 3x = 180
(I got rid of the degree signs because they are not necessary when finding x.)
Now, to find the value of x, we would have to solve for x in the equation 100 + x - 4 + 3x = 180.
100 + x - 4 + 3x = 180
Subtract 100 from both sides to get rid of the 100 on the left side.
x - 4 + 3x = 180 - 100
Simplify.
x - 4 + 3x = 80
Add 4 from both sides to get rid of the -4 on the left side.
x + 3x = 80 + 4
Simplify and combine like terms.
4x = 84
Divide 4 from both sides to get rid of the coefficient of 4 on the left side.
x = 84/4
Simply.
x = 21
The value of x would be 21.
x = 21
I hope you find this helpful. :)
<u>We are given the equations: </u>
10x = 10
-5x - 8y = 9
Since we don't have a coefficient of y in the first equation, we will rewrite the first equation as:
10x + 0y = 10
<u>Writing an Augmented matrix for the 2 equations:</u>
10x + 0y = 10
-5x - 8y = 9
![\left[\begin{array}{ccc}10&0|&10\\-5&-8|&9\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D10%260%7C%2610%5C%5C-5%26-8%7C%269%5Cend%7Barray%7D%5Cright%5D)