First, you can combine all of the terms involving x:
0.3x + 0.03x + 0.003x + 0.0003x + 0.00003x = 3
0.33333x = 3
0.33333x / 0.33333 = 3 / 0.33333
x = 9.0000900009…
x ≈ 9
Hope this helps! :)
The system of inequalities is:
and ![12x+7y\leq 63](https://tex.z-dn.net/?f=12x%2B7y%5Cleq%2063)
<em><u>Explanation</u></em>
Let
be the amount of live bait and
be the amount of natural bait.
As John would like to get at least 3 pounds of live bait, so the first inequality will be: ![x\geq 3](https://tex.z-dn.net/?f=x%5Cgeq%203)
Given that, price of live bait is $12 per pound and natural bait is $7 per pound. Also, he only has a budget of $63. That means, he can spend maximum $63
So, the cost for buying
pound of live bait
and the cost for buying
pound of natural bait ![=\$7y](https://tex.z-dn.net/?f=%3D%5C%247y)
Thus, the second inequality will be: ![12x+7y\leq 63](https://tex.z-dn.net/?f=12x%2B7y%5Cleq%2063)
3%?? The question doesn't make much sense.
Since angles A and C are equivalent, then angles B and D must also be equivalent. So if
angle B = angle D then...
7x + 15 = 8x
Now we just solve for x
7x + 15 = 8x
15 = 8x - 7x
15 = x
We Can check to see if it is correct by substituting 15 in for x in the equation..
7x + 15 = 8x
7 (15)+15 = 8 (15)
105 +15 = 120
120 = 120
It checks! angles B and D = 120 degrees
Answer:
Kindly check explanation
Step-by-step explanation:
Given that :
Upper level seat = $25
Mid level seat = $40
Number of tickets to give away is at least 25
Budget constraint = $1000
part A: write a system of two inequalities that describe this situation
Number of tickets constraint:
Upper level + mid level ≥ 25
u + m ≥ 25
Cost constraint :
$25u + $40m ≤ $1000
Part B:
Give away 10 upper level seat tickets and 15 mid level seat tickets