Answer:
Hi!
The correct answer is d) 1 over 15 minus 1 over x equals x over 35.
Step-by-step explanation:
We know the amount of time that Byron can fill a drying rack with dishes: 15 minutes.
We know the amount of time that Byron can fill a drying rack with dishes while Emmitt is taking dishes out of the drying rack: 35 minutes.
We don't know the amount of time that Emmitt can take dishes out of the drying rack: x minutes.
So, if Byron is filling the drying rack in 15 minutes and Emmitt is taking out the dishes at x minutes, it takes 35 minutes to fill the drying rack.
<em>// multiply by 105x both sides.</em>
<em>// simplifly</em>
<em> //substract 3x and add 105 in both sides</em>
<em>// solve</em>
<em>//</em> <em>divide by 4 in both sides</em>
<em>// solve</em>
It makes sense that Byron fills the rack faster than Emmitt empties the rack.
In our equation, the Y value is the dependent variable and the X is the independent variable. The amount of pounds lost depends on the number weeks on a diet. To get the actual pounds Steve was able to lose in 4 weeks, we have:
Y = 1.8x + 1.2
Y = 1.8(4) + 1.2
Y = 8.4 pounds
Answer:
(20,-4)
Step-by-step explanation:
We are given;
One end point as (2,5)
Point of division as (10,1)
The ratio of division as 4:5
We are required to calculate the other endpoint.
Assuming the other endpoint is (x,y)
Using the ratio theorem
If the unknown endpoint is the last point on the line segment;
Then;
![\left[\begin{array}{ccc}10\\1\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D10%5C%5C1%5Cend%7Barray%7D%5Cright%5D)
=![\frac{4}{5} \left[\begin{array}{ccc}x\\y\end{array}\right]](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7B5%7D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Dx%5C%5Cy%5Cend%7Barray%7D%5Cright%5D)
+![\frac{5}{9}\left[\begin{array}{ccc}2\\5\end{array}\right]](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B9%7D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D2%5C%5C5%5Cend%7Barray%7D%5Cright%5D)
Therefore; solving the equation;
solving for x
x = 20
Also
solving for y
y= -4
Therefore,
the coordinates of the end point are (20,-4)
Answer:
250 seconds
Step-by-step explanation:
You must divide how far the anchor must go (27.5 ft) by the speed it travels (0.07 feet per second). 27.5 / 0.07 = 250 seconds.
So?
-756*x +x =1 ?
-755 x = 1
x= -1/755
or
what two numbers when multiplied equal -756 but when added together equal 1?
numbers are x and y
x*y= -756
x+y=1
rearrange the 2nd eq
y=1-x
substitute
x(1-x)=-756
distribute
x-x^2=-756
solve for zero
x^2-x-756=0
factor/quadratic equation
