<h2><u>Part A</u>: He started with
4 miles. </h2>
<u>Explanation Part A</u>: 51.664 = (x((1.2⁷)-1)) / 0.2
<h2>
<u>Part B</u>: The equation is
51.664 = (x(1.2⁷)-1)/0.2</h2>
<u>Explanation</u>: n = 7 and on day 7 he traveled 51.664 so Sn = 51.664.
We get the second part of the equation because each day is increased by 20% so we have r = (1.2x) / x = 1.2
So our top half will be x multiplied by ((1.2)⁷-1) because it's the 7th day and we are increasing by 1.2x - 1.
Our bottom half is 1.2 - 1 which equals 0.2
<h2><u>Part C</u> :
103.83 miles</h2>
<u>Explanation: </u> We now have x which is 4 so we plug x into the equation above and remove the 51.664. We also change the 1.2⁷ to 1.2¹⁰ because it's the 10th day not the 7th.
Our equation now looks like (4(1.2¹⁰)-1) / 0.2 which is equal to 103.83 miles.
243log(81x)=48
log(81x)=48÷243
log(81x)=16÷81
81x=10^(16÷81)
81x= 81sqaure root pf 10^16
divide by 81
x =.0194557
First, the formula of the circumference.
There are two formulas:
1. C = π*d
[Note: d = diameter]
2. C = 2*π*r
[Note: r = radius]
[Note: This symbol * means to multiply.]
Since we are given the diameter, it’s easier to use the first formula, π*d. Let’s not be too hard on ourselves.
Okay, so let’s state our decided formula:
C = π*d
Then replace d with the car tire’s diameter:
C = π*(32)
Afterwards, find a calculator and multiply π with 32. You will get 100.5309649 as result.
If where to round is stated in your question, round to that. If not, it’s best to round by two decimal places. In this case, we’ll round 100.5309649 to 100.53.
Please add your units as well. In this case, the final answer will be: 100.53 inches.
Since this is a word problem, don’t forget your final statement!
“The approximate circumference of the tire is 100.53 inches.”
Answer:
To obtain equivalent amount from both foods we can eat 10 ounces of Food I and 5 Ounces of food II
To obtain minimum cholesterol, the individual should eat only 21 ounces of food II and zero ounce of food for the daily supplement of the individual
Step-by-step explanation:
Food I contains 32×C + 10×E per ounce
Food II contains 20×C + 14×E
Here we have X × (Food I) + Y × (Food II) = 420 C + 170 E
32·X + 20·Y = 420 C
10·X + 14·Y = 170 E
Therefore
X = 10 and Y = 5
To minimize the cholesterol, we can increase amount of Food II to get
21 ounces of food II gives
420 units of vitamin E and 294 units of vitamin E with 273 units of cholesterol.
Answer:
1) Subtracting one from the other
2) x = 0.375 and y = 0.125
Step-by-step explanation:
Equation 1 :
Equation 2:
To solve these equations by the Elimination method we multiply equation 1 with 6 and multiply equation 2 with 2 so now,
Now for the second equation:
Now subtracting equation 2 from equation 1
now insert this value of y into any equation
lets insert it into equation 1
