Answer:
15 people
Step-by-step explanation:
let x=total # of people on the team
80%=12
80/100=12/x
cross multiply
80x=1200
division property of equality (divide both sides by 80)
x=15
There are 15 people on the team.
3x + 6 = 48 (alternate angles are equal)
- 6
3x. = 42
÷3
x = 14 degrees
180-48 - 2y + 5y-9 =180
123 + 3y = 180
-123
3y = 57
÷3
y = 19 degrees
Explanation:
To find the last angle on the top straight line, do:
180 - (the 2 given angles).
So, 180 - (3x + 16, which is 48 due to alternate angles being equal). Then, minus the 2y.
(180 - 48 - 2y) & simplify => 132 - 2y
This gives you the equation for the missing angle on our top straight line.
Thus, co-interior angles add to 180. So, we add the new equation (132 - 2y) to 5y - 9.
Simplify
=> 123 + 3y (because - 2+5 =3)
and put it equal to 180. Solve for y
Hope this helps!
Answer:
185/27
Step-by-step explanation:
To get the polynomial that is exactly divisible by g(x)=3x+2, we have to divide f(x)=3x
4
−2x
3
+3x
2
−2x+3 by g(x) and get the remainder as shown in the above image.
Hence,
27
185
should be subtracted from 3x
4
−2x
3
+3x
2
−2x+3 so that the resulting polynomial is exactly divisible by 3x+2.
Answer:
The woman invested $15,000 at 7% interest rate and $5,000 at 6% interest rate.
Step-by-step explanation:
We are given the following in the question:
Let x be the interest earned from 7% interest rate and y be the interest earned from 6% interest rate.
The woman invested has three times as much invested at 7% as she does at 6%.
Thus, we can write the equation:
The total interest is $1,350.
Thus, we can write the equation:
Solving the two equations by substitution method:
Thus, she invested $15,000 at 7% interest rate and $5,000 at 6% interest rate.
Answer:
2 batches
Step-by-step explanation:
