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Semenov [28]
3 years ago
12

Jake is selling items for his baseball fundraiser he earns $10 for each mug (x) he sells and $20 for each shirt (y) he sells. He

want to earn at least $250 for his team.
1 ) write an inequality in standard form to represent the scenario
2) solve the above for y.
3)find and interpret the y-intercept
Mathematics
1 answer:
Anna [14]3 years ago
8 0

Answer:

Step-by-step explanation:

we are given that selling price of each mug(x) is $10

Selling price of each shirt(y) is $20.

Jake wants to earn atleast $250 for his team, So we can write

(1)  10x+20y\geq 250

(2) Now the above inequality can be solved for y as follows:

10x+20y\geq 250\\\text{Add -10x on both the sides}\\10x+20y-10x\geq 250-10x\\20y\geq 250-10x\\\text{Divide both the sides by 20}\\y\geq 12.5-0.5x\\y\geq -0.5x+12.5

(3)

By the observing the above equation that we just solved for y, we can say that It has an y-intercept of 12.5, and a negative slope of 0.5. Y-intercept of 12.5 means, jake must sell atleast 13 shirts to achieve the target.

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C=(x – 1)(x2 + x + 1)

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5 0
3 years ago
Which of the following points is the greatest distance form y -axis a.2,7 b.3,5 c.4,3 d.5,1
ohaa [14]

Answer:

D

Step-by-step explanation:

It's d because it has the highest x value. The higher x value is the farther it is from the y-axis

7 0
3 years ago
2.4z+1.2z-6.5=0.7 I don't get it
almond37 [142]
Basically that answer is incorrect. If you'd learn about combining, multiplying, dividing or subtracting like terms, this will be a simple problem. To be specific, like term is a number with a letter with it.

For example, 2.4z is a like term.

so you can only add like term, not any other normal number. When two terms have the same "letter", you will have to do what the sign said so in the problem....

2.4z + 1.2z - 6.5 = 0.7
3.6z - 6.5 = 0.7 (Add but leave the z alone because you are not multiplying)

The final answer is 3.6z - 6.5 because you cannot do anything else to that problem.

3.6z-6.5=0.7 is not true.
3 0
3 years ago
5/4 as a mixed fraction
neonofarm [45]

Answer:

1 1/4 is your answer.

Step-by-step explanation:

What you do is you divide.

4 goes into 5 1 time with 1 left over.

1 1/4 is your answer.

3 0
3 years ago
A ski gondola carries skiers to the top of a mountain. assume that weights of skiers are normally distributed with a mean of 199
Allushta [10]
A) maximum mean weight of passengers = <span>load limit ÷ number of passengers
</span><span>
maximum mean weight of passengers = 3750 </span>÷ 25 = <span>150lb

</span>B)  First, find the z-score:
z = (value - mean) / stdev
   = (150 - 199) / 41
   = -1.20

We need to find P(z > -1.20) = 1 - P(z < -1.20)

Now, look at a standard normal table to find <span>P(z < -1.20) = 0.11507, therefore:
</span>P(z > -1.20) = 1 - <span>0.11507 = 0.8849

Hence, <span>the probability that the mean weight of 25 randomly selected skiers exceeds 150lb is about 88.5%</span> </span>

C) With only 20 passengers, the new maximum mean weight of passengers = 3750 ÷ 20 = <span>187.5lb

Let's repeat the steps of point B)

z = (187.5 - 199) / 41
   = -0.29

P(z > -0.29) = 1 - P(z < -0.29) = 1 - 0.3859 = 0.6141

</span>Hence, <span>the probability that the mean weight of 20 randomly selected skiers exceeds 187.5lb is about 61.4%

D) The mean weight of skiers is 199lb, therefore:
number</span> of passengers = <span>load limit ÷ <span>mean weight of passengers
                                     = 3750 </span></span><span>÷ 199
                                     = 18.8
The new capacity of 20 skiers is safer than 25 skiers, but we cannot consider it safe enough, since the maximum capacity should be of 18 skiers.</span>
4 0
3 years ago
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