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bezimeni [28]
1 year ago
5

Nicole is studying for her upcoming college entrance exams. She has already completed 20 practice problems and plans on completi

ng 6 more problems each night.
Create and graph the solution set of equation for the total number of problems Nicole will have completed, y, in terms of the number of nights she studies, x.

PLEASE graph the solution

Mathematics
1 answer:
horsena [70]1 year ago
8 0
Total number of problems Nicole will have completed: y
Number of nights she studies: x

She has already completed 20 practice problems:
When x=0, y=20

She plans on completing 6 more problems each night:
y=20+6x
y=6x+20

Please, see the attached graph.

Thanks.

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Jackie bought a 3-pack of tubes of glue. She used 0.27 ounce of the glue from the 3-pack
adell [148]

This question is not correct because one of its options was not written correctly.

Correct question:

Jackie bought a 3-pack of tubes of glue. She used 0.27 ounce of the glue from the 3-pack

and had 1.35 ounces left in total. Which describes a way to determine the number of ounces

sold in each tube of glue?

a) Solve for x in the equation 3x - 0.27 = 1.35.

b) Divide 1.35 by 3 and then subtract 0.27 from the quotient.

c) Subtract 0.27 from 1.35 and the divide the difference by 3.

d) Solve for w in the equation 3 (x - 0.27) = 1.35.

Answer:

a) Solve for x in the equation 3x - 0.27 = 1.35.

Step-by-step explanation:

From the question we are told that 0.27 ounces of glue was sold from a 3 pack glue and we have 1.35 ounces of glue left in total.

The first step would be represent the 3 pack of glue as 3x where x represents each pack of the glue.

Therefore, mathematically, we have the Algebraic equation:

3x - 0.27 = 1.35..... Equation 1

This is because when we solve for x, we would be able to find the number of ounces sold in each tube.

Solving for x in the equation 3x - 0.27 = 1.35.

3x - 0.27 = 1.35.

3x = 1.35 + 0.27

3x = 1.62 ...... Equation 2

3x = The three pack tube containing the glue.

Where x represents each of the tubes.

This means, the three pack tube contained 1.62 ounces of glue.

To find out he amount of glue sold from each pack, we go back to our equation 2

3x = 1.62

x = 1.62 ÷ 3

x = 0.54 ounces.

This means from each tubes, 0.54 ounces of glue was sold.

Therefore, Option a) "Solve for x in the equation 3x - 0.27 = 1.35" is correct.

3 0
2 years ago
There is a 0.9991 probability that a randomly selected 31​-year-old male lives through the year. A life insurance company charge
jarptica [38.1K]

Answer:

a) Monetary values corresponding to the two events are:

-In case of surviving the year = -166$

-In case of a death in the year = 89834$

b) Expected value of the purchasing the insurance is -85 $

c) Yes, insurance company can make a profit with this policy.

Step-by-step explanation:

<em>a)</em> The man need to pay 166$ first to enroll the insurance policy. If he survives within a year, he will lose 166$. Otherwise, if he dies within a year he will profit 89834$.

<em>b)</em> Expected value of the purchasing the insurance as following:

<u>-In case of surviving the year: </u>

Value: -166$

Probability: 0,9991

<u>-In case of death in a year </u>

Value: 89834$

Probability: 0,0009

Expected value is E(x) = -166×0,9991 + 89834×0,0009 = -85 $

<em>c)</em> Lets consider that 10000 different 31 year old man enrolled to this insurance policy. According to probability of death, 9 out of 10000 man expected to be dead within the year. Therefore, company need to pay 9*90000 = 810000$ to their costumers. But, company will collect 10000*166=1660000$ from their costumers in the beginning of the year

So, it is expected that company is going to profit 1660000-810000=850000$ per year.

4 0
2 years ago
Ariel snowboarded down a mountain that has a vertical height of 1,200 feet. She traveled a distance of 2,400 feet from the top o
KIM [24]
For this case what you should do is use the following trigonometric relationship
 senx = (1200) / (2400)
 senx = 0.5
 Clearing the angle we have
 x = ASIN (0.5)
 x = 30
 Answer:
 The angle of elevation from the base to the top of the mountain is 30 °
6 0
2 years ago
Mua hàng hóa 10000kg về nhập kho,Đơn giá 200 000đ/kg,thuế gtgt là 10%,trả bằng chuyển khoản 50%,còn nợ người bán.Chi phí vận chu
Savatey [412]
I don’t think so it’s right question
6 0
1 year ago
What is the value of b2 - 4ac for the following equation? 5x2 + 7x = 6 <br> 9 <br> 81 <br> 169
erastova [34]
A=5,b=7,c=-6
{7}^{2}  - 4(5)( - 6) = 169
5 0
2 years ago
Read 2 more answers
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