You would write the equation out as x=35x+500
You substitute x for 7 so it’s x= 35(7)+500
So the answer will be 745 dollars
260+(20x) =140+(30x)
x represents the number of months.
subtract 20x from both sides and subtract 140 from both sides
120=10x
divide each side by 10
12=x
So in 12 months, Jamal will have paid the same amount to both shops.
To check your answer, you plug in 12 for x.
260+20(12)=140+30(12)
260+240=140+360
500=500
Hope this helps.
Answer: Origin, 8,0, 8,3,and 0,3
Step-by-step explanation:
Firstly, it tells us that we need to rotate it around the origin, so no matter what, the origin will always be one of our coordinate. After that -10 and -2 has an 8 difference, so if it is 180 degrees, the co-ordinate must be 8 since the origin and 8 is also a difference of eight.
Secondly, now when we need to find out the height, we know that 5 and 2, which are the heights of D and C, the difference is 3. So x-0=3, well, we already know that x is 3 because 3+0=x. That means DC on the other side is 0,3 since we always read the x axis first and then the y. And there you go! You now know the 4 co-ordinates! They are 0,0 , 8,0 , 8,3 and 0,3
Hope this helps :>
Answer:
a) 
b) 
Step-by-step explanation:
We know that theres a <u><em>linear relationship</em></u> between the rate of the chirping of crickets and the air temperature.
<u><em>The equation of a line is</em></u>:

So, let's name our variables
x= Temperature
y=Rate of the chirping
First of all, we need to find the <u><em>slope</em></u> with the two given points
60ºF , 
80ºF, 
By,


<u>Now, the </u><em><u>equation</u></em><u> between the air temperature and the number of chirps is:</u>


Solving for y,
a) 
b) <u>To calculate the </u><u>rate</u><u> at which the crickets chirp when the </u><u>temperature is 102 ºF</u><u> we need to evaluate y(102)</u>
