Answer:
4 x 4 is 12
3 x 2 is 6
12 plus 6 is 18
Answer is 18
Step-by-step explanation:
Divide 3 by 6 and then multiply -2/3 by 3/1
1/2x - 2
Answer:
the second one
Step-by-step explanation:
When subtracting a negative, the negative turns to a positive, so in this case, -14- -8 would be the same as -14 + 8
C = 220T + 1890.
Solve the equation for T.
220T = C - 1890
T = C/220 - 8.6
The steel produced is expected to be sold at a price of $310 per ton.
310 $/ton is a rate or slope. Write a linear equation where x is tons of steel produced and y is selling price of the steel.
y = 310x
Write and solve an equation to find the amount of steel produced if the selling price is equal to the cost of production.
* Here, note that the cost of production and tons of steel in the first equation is in the millions. The equation we just wrote for the selling price was in x tons of steel. This only matters in regards to the units you specify because; million/million = 1
The unit multiplier of all variables must be specified as same. Either everything is in millions or not.
Here, I'll leave everything in millions, change x (tons of steel) to T (mill tons steel) and "y" to "S" in million dollars selling price.
S = 310T
Set equal to Cost equation.
220T + 1980 = 310T
Solve for T, million tons of steel produced.
1980 = 310T - 220T
1980 = 90T
T = 1980/90
T = 22 million tons steel produced
Answer:
answers are below
Step-by-step explanation:
<u>a. -6 ≤ 3x < 15</u>
steps in order to solve:
-6 ≤ 3x
= -6/3 ≤ 3x/3
= -2 ≤ x
3x < 15
= 3x/3 < 15/3
= x < 5
=> -2 ≤ x < 5
<u>b. -3 < 2x - 1 < 7 </u>
steps in order to solve:
-3 < 2x - 1
= 1 - 3 < 2x - 1 + 1
= -2 < 2x
= -2/2 < 2x / 2
= -1 < x
2x - 1 < 7
= 2x - 1 + 1 < 7 + 1
= 2x < 8
= 2x/2 < 8/2
= x < 4
=> -1 < x < 4
<u>c. 7 < -3n + 1 ≤ 13</u>
steps in order to solve:
7 < -3n + 1
= -1 +7 < -3n + 1 - 1
= 6 < -3n
= 6/-3 < -3n/-3
= -2 > n
-3n + 1 ≤ 13
= -3n + 1 - 1 ≤ 13 -1
= -3n <u><</u> 12
= -3n/-3 <u><</u> 12/-3
= n <u>></u> -4
=> -4 <u><</u> n < -2
graphs are below.
hope this helps and is right :)