Answer:
Barney 145 3 Days 310 Miles
Mary 250 5 Days 600 Miles
A) 3 D + 310 M = 145
B) 5 D + 600 M = 250
Multiplying A) by -5/3
A) -5 D - 516.6666M = -241.66666666
B) 5D + 600M = 250
Adding A) and B)
83.3333 M = 8.3333333333
M = .10 per mile
3 D = 114
Daily Rate = 38 dollars per day
Step-by-step explanation:
Hello there! Your answers would be:
a. 600 - 75x = y
b. 8 months
Need an Explanation?:
Part a:
Okay, so she has 600 dollars, and she has a monthly bill, but no income. This means she is not earning any money, only loosing some.
This equation will model your situation: 600 - 75x = y
This is because:
- The 600 remains constant, you are taking away from it. The 75 x represents the amount from the total taken away after each month.
- Again, she does not earn money, only spends it on her bill.
- Y represents the total amount of money she has left after each month.
Part b:
This is asking us to see how many months it'll take for her to have $0. The question is telling us to have g(x) = 0. (This is just another way of saying y = 0, which translates to her having no money left)
So, plug 0 into the equation in place of y and solve for x.
600 - 75x = 0
<em>Start by subtracting 600 from both sides to work to isolate x.</em>
-75x = -600
<em>Next, divide -600 by -75 to finish isolating x and get your answer. </em>
X = 8
This means it will be 8 months before her checking account reaches 0.
<em>So, these are your final answers. I hope this helps, and have a great day! Please don't hesitate to ask if you need more help with this specific question! </em>
1. 11/(11+JG)=20/50
11+JG=27.5
JG=16.5
2. i still need some time.. is triangle RST a right-angled triangle or not?
To work out who the unknowns in the room are, we can establish that c = p+ 9
c + p = 25. The unknowns in the room are there the total number of
parents in the room, and the total number of teachers in the room.
We have been given that in ΔJKL, the measure of ∠L=90°, KL = 22 feet, and JK = 54 feet. We are asked to find the measure of angle J to nearest degree.
First of all, we will draw a triangle as shown in the attachment.
We can see from our attachment that side KL is opposite side to angle J and side JK is hypotenuse of right triangle.
We know that sine relates opposite side of right triangle to hypotenuse.


Using inverse sine or arcsin, we will get:


Upon rounding to nearest degree, we will get:

Therefore, the measure of angle J is approximately 24 degrees.