$3.75 - cereal
$1.50 - milk
$2.25 - bread
—————————
$7.50
$20.00
- 7.50
—————
$ 12.50
She received $12.50 back
Answer: Crickets make 172 chirps/min at 80 degrees Fahrenheit
Step-by-step explanation:
Step 1
Using the point slope formulae for Linear functions , we have that
y - y1 = m(x - x1)
where x and y are two points representing the temperature and chirps /min respectively
And
m= slope
Step 2 : Finding the slope , m
where x1=60
y1=92
x2= 75
y2=152
m= (y2-y1)/ (x2-x1)
= (152- 92)/(75-60)
=60/15 =4
Bringing down the point/slope formula and imputing the known values to find our equation to show the relationship cricket make per minute and the temperature
y - y1 = m(x - x1)
y - 92= 4(x - 60)
y - 92 = 4x -240
y = 4x - 240 + 92
y = 4x - 148
Step 3
To find the number of chirps be per minute (y) if the temperature is 80 degrees Fahrenheit( x)
y = 4(80) - 160
y = 320 - 148
y = 172 chirps/min at 80 degrees Fahrenheit
To solve for the variable
, we have to make it alone. The first thing we do is add
to both sides of the equation:
![13.7b-6.5+6.5=-2.3b+8.3+6.5\\13.7b=-2.3b+14.8](https://tex.z-dn.net/?f=13.7b-6.5%2B6.5%3D-2.3b%2B8.3%2B6.5%5C%5C13.7b%3D-2.3b%2B14.8)
Now add
to both sides:
![13.7b+2.3b=-2.3b+14.8+2.3b\\16b=14.8](https://tex.z-dn.net/?f=13.7b%2B2.3b%3D-2.3b%2B14.8%2B2.3b%5C%5C16b%3D14.8)
Finally, divide both sides by 16 to get the final answer:
![\frac{16b}{16} =\frac{14.8}{16}](https://tex.z-dn.net/?f=%5Cfrac%7B16b%7D%7B16%7D%20%3D%5Cfrac%7B14.8%7D%7B16%7D)
Therefore,
![b=0.3](https://tex.z-dn.net/?f=b%3D0.3)
Hope this helps!
Answer:
5 Miles
Step-by-step explanation:
5 Miles = 1 Miles = $2 X 5 = $10
1 Person = $1
Therefore 2 People = $1 X 2
<u>Answer:</u>
Liam will use 3.5 gallons of paint to paint his living room
<u>Solution:</u>
Given that Liam has
gallons of paint.
He uses
of paint to paint his living room
We need to find how many gallons of paint will Liam use
The gallons of paint Liam used can be found as follows:
Amount of paint Liam has =
gallons
Converting mixed fraction
to decimal we get 8.75
Amount of paint used = 2/5th of available amount
![= \frac{2}{5} \times 8.75=3.5 \text { or } 3 \frac{1}{2} \text { gallons }](https://tex.z-dn.net/?f=%3D%20%5Cfrac%7B2%7D%7B5%7D%20%5Ctimes%208.75%3D3.5%20%5Ctext%20%7B%20or%20%7D%203%20%5Cfrac%7B1%7D%7B2%7D%20%5Ctext%20%7B%20gallons%20%7D)
Hence Liam will use 3.5 gallons of paint to paint his living room