Answer:
The first set of expenses is 75% of the second assuming we are in a 30-day month.
Step-by-step explanation:
To find this, we first have to find out how much we spend a month in coffee. To do so, we multiply the daily cost by number of days in a month (we'll use 30 for this case).
$3 * 30 days = $90 a month.
Now to find the percentage, we divide what we spend in coffee by what we spend on gas.
$90/$120 = 75%
Answer:
See below
Step-by-step explanation:
<h3>Continuation of the question</h3>
<u>Data in the table:</u>
<u>PH 4 5 6 7 8 9 10 11 </u>
<u>Bacteria 116 120 131 136 141 151 148 163</u>
- <em>Create a scatter plot to represent the data: Based on the data and your scatter plot, what do you think a good linear function would be to represent the data?</em>
<h3>Solution</h3>
<em>See attached for scatter plot</em>
We can see the chart is close to linear function. Let's build one based on data in the table
<u>The line will be in the form of:</u>
<u>If we use two points and get the equation</u>
<u>Finding the slope:</u>
- m = (141-116)/(8-4) = 25/4 = 6.25
<u>Then, finding y-intercept:</u>
- 116 = 6.25*4 + b
- b = 116 - 25 = 91
<u>So the line is:</u>
<em>Note: This is approximate best fit graph and it is attached as well. Exact formula for the line is built by using different method and is very close to the one above</em>
Multiply first equation by -5 and 2nd by 2, add them
15x+20y=-100
<u>2x-20y=32 +</u>
17x+0y=-68
17x=-68
divide both sides by 17
x=-4
the x value is -4
The correct answer is d I hope this helps
Answer:
x=36/11
Step-by-step explanation:
4(2x-1)=-3x+32
8x-4=-3x+32
8x-(-3x)-4=32
8x+3x-4=32
11x-4=32
11x=32+4
11x=36
x=36/11