Answer:
x=-1/2
Step-by-step explanation:
Move -2x to the other side by adding 2x on both sides:
12x+8=2
Move 8 to the other side by subtracting 8 on both sides:
12x=-6
Divide by 12 on both sides:
x=-1/2
Hope this helps!
"The product of one-third w and eight-ninths" translates to the following:
(1/3)w*(8/9)
which will multiply out to be
(1/3)*(8/9)*w
((1*8)/(3*9))*w
(8/27)*w
Now take one-sixteenth (1/16) of this to get
(1/16)*(8/27)*w
((1*8)/(16*27))*w
(8/432)*w
(1/54)*w
Finally we take 10 less than this expression to get
(1/54)*w - 10
which is very close to what choice C is saying. The only difference is the letter 'u' thrown in. I'm assuming the 'u' was cut off somehow or that there's a typo.
In any event, the most likely answer is choice C.
Answer:
34.5 units²
Step-by-step explanation:
There are methods for finding the area of a polygon using arithmetic on the coordinates. Here, it is probably more convenient to cut the figure into two triangles and a trapezoid and figure the areas of those.
A line from (-5, 1) to (1, 1) will create a triangle above that line with base 6 and height 3. Its area will be ...
A = 1/2·b·h = 1/2·6·3 = 9 . . . units²
Similarly, a line from (1, 1) to (1, -2) will create a triangle to the right of that line with base 3 and height 4. Its area will be ...
A = 1/2·b·h = 1/2·3·4 = 6 . . . units²
The remaining trapezoid has top base 6, bottom base 7, and a height of 3. Its area will be ...
A = 1/2·(b1+b2)·h = 1/2·(6 +7)·3 = 39/2 = 19.5 . . . units²
Then the total area of the figure is ...
(9 + 6 + 19.5) units² = 34.5 units²
Answer:
We conclude that total cost/bill will be: $27.81
Step-by-step explanation:
Given
The cost of an iPhone case = $27
Additional expense = 3% = 3/100 = 0.03
To determine
Total bill = ?
The expense amount can be calculated by multiplying the cost of an iPhone case by the additional expense
i.e.
Expense Amount = cost of an iPhone case × additional expense
= 27 × 0.03
= $0.81
The total cost is calculated by adding the expense amount and the original cost of an iPhone case.
i.e.
Total cost/bill = Expense Amount + cost of an iPhone case
= $0.81 + $27
= $27.81
Therefore, we conclude that total cost/bill will be: $27.81
Answer:
Step-by-step explanation:
25%=40
25x4=100%
40x4=160 students
