Answer:
x=16
Step-by-step explanation:
(4x+2)+(x+8)=90
5x+10=90
5x=80
x=16
Answer:
See explanation
Step-by-step explanation:
Assuming the given inequality is ![2x+3y\le12](https://tex.z-dn.net/?f=2x%2B3y%5Cle12)
Then the corresponding linear equation is ![2x+3y=12](https://tex.z-dn.net/?f=2x%2B3y%3D12)
When x=0, we have ![2*0+3y=12](https://tex.z-dn.net/?f=2%2A0%2B3y%3D12)
![\implies 3y=12\implies y=4](https://tex.z-dn.net/?f=%5Cimplies%203y%3D12%5Cimplies%20y%3D4)
When y=0, we have ![2x+3*0=12](https://tex.z-dn.net/?f=2x%2B3%2A0%3D12)
![\implies 2x=12\implies x=6](https://tex.z-dn.net/?f=%5Cimplies%202x%3D12%5Cimplies%20x%3D6)
The T-table is:
<u>x | y</u>
0 | 4
6 | 12
We plot this points and draw a solid straight line as shown in the attachment.
Now let us test the origin: (0,0) by plugging x=0 and y=0 into the inequality.
![2*0+3*0\le12](https://tex.z-dn.net/?f=2%2A0%2B3%2A0%5Cle12)
....This is true so we shade the lower half plane as shown in the attachment.
In this case all you do is add all the numbers, answer is 100
Answer:
The y intercept of the line is (0, -14).
Step-by-step explanation:
we are given the equation
y + 11 = -2(x + 1.5)
The y-intercept of the line is the point where x = 0,
Substituting x = 0 into the expression:
y + 11 = -2(0 + 1.5)
y + 11 = -0 – 3
y + 11 = -3
y = 11 – 11 = -3 – 11
y = -14
Thus, The y intercept of the line is (0, -14).
<u>-TheUnknownScientist</u><u> 72</u>
Answer:
90
Step-by-step explanation:
Start with changing 35% and 30% to a decimal.
35% = .35%
30% = .30%
Then multiply 105 by .30%. ( but don't put the percent sign in the calculator when multiplying)
105 x .30% = 31.5
Then you want to divide 31.5 by .35%
31.5 / .35% = 90