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wariber [46]
4 years ago
6

I need help solving this!!! Numbers 3 and 4, solve algebraically. I don't get #5 question.

Mathematics
1 answer:
Pavlova-9 [17]4 years ago
6 0
X = # of hours tutoring ES
y = # of hours tutoring HS

equations
20x + 30y = 140
x + y = 6

solve
20x + 30y = 140
x + y = 6

x = 6 - y

substitute x = 6 - y into 20x + 30y = 140

20x + 30y = 140
20(6 - y) + 30y = 140
120 - 20y + 30y = 140
10y = 20
    y = 2

x = 6 - y
x = 6 -2
x = 4

answer
Tutor:
ES = 4 hours and HS = 2 hours
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To answer this item, we let x be the amount of sales for each of them. Their weekly earnings would be as follows,

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35% of salt is in feta cheese. What percentage of salt is in that 350 g cheese?
xxMikexx [17]

The amount of salt is in the 350 g of feta cheese, when there is 35% of salt is in cheese, is 122.5 grams.

<h3>What is percentage of a number?</h3>

Percentage of a number is the part of the whole number which is expressed in the fraction of hundredth. It is represented with "%" symbol.

35% of salt is in feta cheese. The percentage of salt is in that 350 g cheese has to be found out.

Let suppose there is x grams of slat in feta cheese of 350 g. Thus, the amount of salt (35% of 350) is,

x=\dfrac{35}{100}\times350\\x=122.5\rm\; gm

Thus, the amount of salt is in the 350 g of feta cheese, when there is 35% of salt is in cheese, is 122.5 grams.

Learn more about the percentage here;

brainly.com/question/2085058

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The mean life of a particular brand of light bulb is 1200 hours. if you know that at about 95% of this brand of bulbs will last
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   First, lookup a standard normal table and see what the z-score is for 0.025 (one half of 100% - 95%) to allow for equal sized tails. You should find that the z-score is 1.96. That means that 95% of the time, the value should be within 1.96 standard deviations of the mean. Now let's calculate the standard deviation. 800 is 800 - 1200 = -400 to the left of the mean of 1200. 1600 is 1600 - 1200 = 400 to the right of the mean of 1200. So we are an equal distance of 400 on both sides of the mean. And we know from the z-score of 1.96, that we're 1.96 standard deviations from the mean. So a little division will give us the standard deviation. Which is: 400 / 1.96 = 204.0816327
   So the standard deviation of the light bulbs is 204</span>
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