Answer:
0.32 or 32/100
Step-by-step explanation:
can simplify to 8/25
Distribute 1/2 to <span>(n – 4):
</span>
![\frac{1}{2} \times n = \frac{1}{2}n](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%20%5Ctimes%20n%20%3D%20%5Cfrac%7B1%7D%7B2%7Dn)
![\frac{1}{2} \times -4 = -2](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%20%5Ctimes%20-4%20%3D%20-2)
<span>
Subtract (2n + 3):
</span>
![- (2n + 3) = -2n -3](https://tex.z-dn.net/?f=-%20%282n%20%2B%203%29%20%3D%20-2n%20-3)
<span>
Your equation should now look like this:
</span>
![\frac{1}{2}n - 2 - 3 = 3 - 2n - 3](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7Dn%20-%202%20-%203%20%3D%203%20-%202n%20-%203)
<span>
Combine like terms on both sides:
</span>
![-2 - 3 = -5](https://tex.z-dn.net/?f=-2%20-%203%20%3D%20-5)
![3 - 3 = 0](https://tex.z-dn.net/?f=3%20-%203%20%3D%200)
![\frac{1}{2}n - 5 = -2n](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7Dn%20-%205%20%3D%20-2n)
<span>
Subtract 1/2n from both sides:
</span>
![-5 = -\frac{5}{2}n](https://tex.z-dn.net/?f=-5%20%3D%20-%5Cfrac%7B5%7D%7B2%7Dn)
<span>
Divide both sides by -5/2 to get n by itself:
</span>
![n = 2](https://tex.z-dn.net/?f=n%20%3D%202)
<span>
The value of n is
2.</span>
I believe the answer are as follows: 1. A 2. B 3. A 4. D 5. B and 6. B
Answer:
y= -1/4x - 6
Step-by-step explanation:
So the point slop form is y = mx + b, where m is the slope : -1/4, and b is the y-intercept (which we don't know yet).
To find b, all you need to do is plug in -1/4 for m and the point (4, -7) for x and y respectively, giving you:
-7 = (-1/4)(4) + b
Then do some algebra shenanigans: multiply -1/4 by 4 to get -1
-7 = -1 + b
then add the 1 to both sides.
b = -6
Then, you can plug the b and the m back into the problem to give you:
y = -1/4x - 6
Answer:
Let represent the number of minutes until Cassie’s distance to Ben is twice that of Abby’s distance to Ben. In minutes Abby will walk m and Cassie will walk m. The following diagram contains the information showing Abby’s position, , Ben’s position, , and Cassie’s position, , at time .
A right-angled triangle is formed by joining Abby's initial position to points A and B. Its hypotenuse is A B and its other sides are of length 100 and 20 times t. Another right-angled triangle is formed by joining Cassie's initial position to points C and B. Its hypotenuse is B C and its other sides are of length 160 and 41 time. Represent Abby, Ben and Cassie’s respective positions at noon as points on the -axis so that Ben is positioned at the origin , Abby is positioned units left of Ben at and Cassie is positioned units right of Ben at .
solution 2
Let represent the number of minutes until Cassie’s distance to Ben is twice that of Abby’s distance to Ben.
In minutes Abby will walk south m to the point . In minutes Cassie will walk north m to the pointTherefore, in
minutes ( minutes seconds), Cassie’s distance to Ben will be twice that of Abby’s distance to Ben. .