Answer:
x = -3
Step-by-step explanation:
First Subtract the lowest variable which would be "y" from 9y. 9y changes to 8y and y cancels out, bring everything else down. the equation is now 8y-1=-25. Now add positive one to both sides -25 becomes -24 and -1 cancels out. the equation is now 8y=-24. -24 divided by 8 equals -3 and the 8y cancels out. the equation is now x equals -3.
Answer:
The burgers cost $2.50 and the cookies cost $1.25.
Step-by-step explanation:
Let b represent burgers and c represent cookies.
2b + 2c = 7.50
4b + 3c = 13.75
<u><em>Step 1:</em></u> Use one of the two equations and isolate one of the variables.
2b + 2c = 7.50
- 2c -2c
b =
-
c
b = 3.75 - c
<u><em>Step 2:</em></u> Plug what you get for b into the second equation.
4(3.75 - c) + 3c = 13.75
15 - 4c + 3c = 13.75
15 - 1c = 13.75
<u><em>Step 3:</em></u> Isolate the variable and solve for c.
15 - 1c = 13.75
-15 -15
c = ![\frac{-1.25}{-1}](https://tex.z-dn.net/?f=%5Cfrac%7B-1.25%7D%7B-1%7D)
c = 1.25 ← <em>price for cookies</em>
<u><em>Step 4:</em></u> Plug in what you have for c into one of the previous equations and solve for b.
2b + 2(1.25) = 7.50
2b + 2.50 = 7.50
- 2.50 -2.50
b = ![\frac{5}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B2%7D)
b = 2.50 ← <em>price for burgers </em>
Now you know the cost of each item:
The burgers cost $2.50 and the cookies cost $1.25.
Answer:
The coordinates of A would be (-1, 2)
Step-by-step explanation:
In order to find this, use the mid-point formula.
(xA + xB)/2 = xM
In this, the xA is the x value of point A, xB is the x value of point B, and xM is the x value of M. Now we plug in the known information and solve for xA.
(xA + 5)/2 = 2
xA + 5 = 4
xA = -1
Now we can do the same using the midpoint formula and the y values.
(yA + yB)/2 = yM
(yA + 10)/2 = 6
yA + 10 = 12
yA = 2
This gives us the midpoint of (-1, 2)
Answer:
.475
Step-by-step explanation:
Your end goal is to get all three distributions to equal to 1.
.435 + .09 = .525
Subtract that from 1 and you will get .475
Answer:
800
Step-by-step explanation:
In order to get the new population of bacteria in <em>690 minutes</em>, you have to know how often the bacteria will divided in the time frame. So, you have to <em>divide </em><em>690 minutes </em><em>by </em><em>230 minutes.</em>
- 690 min. ÷ 230 min. = 3 times
The bacteria wil<u>l double its colony 3 times in 690 minutes</u>.
- <em>First division:</em> 100 x 2 = 200 bacteria
- <em>Second division:</em> 200 x 2 = 400 bacteria
- <em>Third division:</em> 400 x 2 = 800 bacteria
Therefore, the population of bacteria will be 800 in 690 minutes.