Answer:
45
Step-by-step explanation:
As a first rough estimate: divide 390 by 10, obtaining 39.
Another reasonable approximation could be obtained by dividing 450 by 9 and 360 by 9, obtaining 50 and 40. Since 390 is roughly halfway between 360 and 450, estimate that the quotient is approx 45 (halfway between 40 and 50).
Answer:
The base is 4cm and the height is 5cm.
Step-by-step explanation:
This is a solve the system question. Call H the height of the triangle and B the base. The question tells us:
![H=2B-3](https://tex.z-dn.net/?f=H%3D2B-3)
and
![\frac{B \times H}{2}=10](https://tex.z-dn.net/?f=%5Cfrac%7BB%20%5Ctimes%20H%7D%7B2%7D%3D10)
Sub the first equation into the second (as H is already isolated). You will end up with a quadratic equation - solve that any way you wish (e.g. quadratic formula). I've provided the factored form below which shows you the roots:
![\frac{B(2B-3)}{2}=10\\\frac{2B^2-3B}{2}=10\\2B^2-3B=20\\2B^2-3B-20=0\\(2B+5)(B-4)=0\\B= - \frac{5}{2},4](https://tex.z-dn.net/?f=%5Cfrac%7BB%282B-3%29%7D%7B2%7D%3D10%5C%5C%5Cfrac%7B2B%5E2-3B%7D%7B2%7D%3D10%5C%5C2B%5E2-3B%3D20%5C%5C2B%5E2-3B-20%3D0%5C%5C%282B%2B5%29%28B-4%29%3D0%5C%5CB%3D%20-%20%5Cfrac%7B5%7D%7B2%7D%2C4)
In this question, we take B=4. You can't have a negative side length so the other answer is eliminated. Now sub the value for B into either of the original equations. I'll use the first, again because H is already isolated:
![H=2(4)-3\\H=8-3\\H=5](https://tex.z-dn.net/?f=H%3D2%284%29-3%5C%5CH%3D8-3%5C%5CH%3D5)
I think the answer is c
its 1155 but this is closest to the right answer
hope it helps
Multiply the cost of the game by the sales tax:
7% tax = 0.07
50 x 0.07 = 3.5
The tax would be $3.50
Answer:
y = 2x - 22
Step-by-step explanation:
y = 2x + 1
Parallel slope: 2
(7, -8)
y - y1 = m(x - x1)
y + 8 = 2(x - 7)
y + 8 = 2x - 14
y = 2x - 22