Answer:
<u>The system of inequalities is:</u>
<u>7x + 8y ≥ 280</u>
<u>x + y ≤ 38</u>
Step-by-step explanation:
1. Let's review the information given to answer the question correctly:
Amount of weekly hours you can work, no more than 38 hours (≤ 38)
Rate at housecleaning per hour = US$ 7
Rate at retail job per hour = US$ 8
Salary per week, at least US$ 280 (≥ 280)
2. Complete the system of linear inequalities to model this situation.
x = Number of hours per week worked at housecleaning job
y = Number of hours per week worked at retail job
Now, we have:
7x + 8y ≥ 280 (Total of salary of the two jobs should be at least US$ 280), where 7x is the salary received from housecleaning job and 8y is the salary received from retail job
x + y ≤ 38 (You can't work more than 38 hours per week)
So I added all of the numbers of tourists together, I got 30 tourists. Then I saw that the number of tourists that visisted the museum but not the zoo was 5. I divided 5 by 30 and got that there was a 16% chance that a randomly selected tourist would of visited the museum but NOT the zoo.
Hope this helps!
~Lizzie
Scientific notation uses expression which gives easy access of order. The greatest number is 
.It is greater by smallest number by 500 times.
<h3>How to convert a number to scientific notation?</h3>
It is usually of the form 
exponent of 10 starts)
(we have 1 ≤ |a| < 10 ) (where |a| is magnitude of a without sign)
This notation is used to get some idea of how large or small a number is in terms of power of 10.
<h3>What are some basic properties of exponentiation?</h3>
If we have 
base and 'b' is called power or exponent and we call it "a is raised to the power b" (this statement might change from text to text slightly).
Exponentiation(the process of raising some number to some power) have some basic rules as:
The given numbers are:
- First number =
- Second number =
- Third number =
The smallest number is 1,100 and greatest is 550,000
Getting the division to get to know how many times the greatest number is larger than the smallest number, we get:
Thus, it is found that greatest number is . It is greater by smallest number by 500 times.
Learn more about scientific notation here:
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Answer:
Step-by-step explanation:
=
x is the slope intercept form
The volume of the spherical dome will be 12.9π cubic feet when the surface area of the dome is 13.924π.
<h3>What is the volume of the sphere?</h3>
The volume of the cone is the amount of quantity, which is obtained in the 3-dimensional space. The dome is the shape of a semi-sphere the volume of the dome will be half of the volume of the sphere.
Given that the Reunion Tower in Dallas, Texas, is topped by a spherical dome that has a surface area of approximately 13,924π square feet.
The volume of the dome will be calculated as below:-
SA = 13.924π
2πr² = 13.92π
r = √6.96
r = 2.63 feet
Volume = 2 / 3 πr³
Volume = ( 2 / 3 ) π ( 2.63)³
Volume = 12.24π cubic feet
Therefore, the volume of the spherical dome will be 12.9π cubic feet.
To know more about volume follow
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