If her second test was x and her third was x+1 (since it was 1 more than the second), we get 75+x+x+1=76+2x as our total test scores. Next, to get the average you add up the numbers and divide it by the amount of numbers you have. Since we have 3 tests and our sum is 76+2x, we divide it by 3 to get (76+2x)/3=average=82. Multiplying both sides by 3, we get 246=76+2x. Next, we subtract both sides by 76 to get 170=2x. Lastly, we divide both sides by 2 to get 85=x= the second test score. Her third test score is x+1=85+1=86
Answer:
b. 55
Step-by-step explanation:
x+90+y = 180 (Being angles of a traingle)
35+ 90+y = 180
125 + y = 180
y = 180-125
Therefore , y=55
Based on the fact that you will eat only 5 pieces per day out of the bucket of 125 pieces of candy, this is an arithmetic sequence.
<h3>What is an arithmetic sequence?</h3>
An arithmetic sequence is one where the difference between the consecutive numbers in the sequence have a common difference.
In this case, the sequence will reduce by 5 and look like:
125, 120, 115, 110, 105, 100,...
The difference between each of these figures is the same and that difference is 5.
With a common difference of 5, we can say that this sequence is arithmetic.
The rest of the question:
Your bucket of Halloween candy has 125 pieces of candy in it. You decide that to ration yourself, you're going to only eat 5 pieces per day. Is this an arithmetic sequence?
Find out more on common differences at brainly.com/question/11737544
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Her business will break even when she contains sold 1740 bottles of her lotion.
<h3>
How many bottles of lotion must she make and sell before her business breaks even?</h3>
Given: She invests $15,225 in equipment to manufacture and package her lotion each bottle costs $3.25 to manufacture and sells for $12.
"Break even" occurs when Revenue = Costs.
($12/bottle)x = $15225 + ($3.25)x
Simplifying the above equation, we get
$8.75x = $15225
Diving both sides of the equation by 8.75, we get
$8.75x/8.75 = $15225/8.75
x = 1740 bottles
Therefore, the value of x = 1740 bottles.
Her business will break even when she contains sold 1740 bottles of her lotion.
Therefore, the correct answer is option b. 1740 bottles.
To learn more about the expression refer to:
brainly.com/question/723406
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>= means the greater than or equal symbol
n-73>=438
n>=511