Based on the given problem above, here is the solution.
Given: Iris's charge: 470
1 1/5 times her fee: additional hourly rate
? = fee for an hourly rate
What we need to do first is divide 470 by 7 hours, so 470/7 = 67.143/hour.
So Iris's per hour is 67.143 without the additional rate.
Now, let's look for the 1 1/5 of 470. 1 1/5 is equal to 1.2. So 470 x 1.2 = 564.
To get the total fee of her hourly rate, we add 67.143 and 564, so Iris's hourly rate then is 631.143 or 631.14.
Length = x + 2 (because it is 2 cm more than x)
Width = 2x - 5 (5 cm lest than 2x)Area = 54 cm2 this is the formula to find the area Length × Width = Area (x + 2)(2x - 5) = 542x2 - x - 10 = 54 (this is you area)
Subtract 54 on both sides of equation to make the right side zero. 2x2 - x - 64 = 0 then use the quadratic formula x = (-b ± √(b2 - 4ac)) / 2a where:a = 2b = -1c = -64 Plug in these values into the formula. x = (1 ± √(1 - 4(-128))) / 4 x = (1 ± √(513)) / 4 x = (1 ± 22.65) / 4 x = (1 + 22.65) / 4 and x = (1 - 22.65) / 4 x = 5.91 and x = -5.41 Check the validity of the x values by adding them to the length and width. If the length or width should be a negative value, then that value of x is not acceptable. Now x = 5.91 Length = 5.91 + 2 (positive value.)Width = 2(5.91) - 5 ( positive value.) x = 5.91 If we look at this -- x = -5.41, Both length and width will be negative values. We reject this value of x. The answer is x = 5.91
Hope I helped and sorry it was really long
It's either the first or second answer
The set of natural numbers greater than or equal to 6 will be 6, 7, 8, 9, 10, ....
<h3>How to illustrate the information?</h3>
It should be noted that the first information is about the set of natural numbers greater than or equal to 6. Therefore, they will be 6 and above.
It should be noted that the descriptive form simply states in words the elements that are in a set. It is the verbal description of the elements in the set. It is the determination of the elements that belong to a set and those that doesn't.
Also, the way that a set is described is known as the roster form. In this case, the contents of a set can be described by listing the elements that are in the set which are separated by a comma inside the bracket.
Also, the roster form: (5, 7, 9, 11) indicates odd natural numbers. The numbers that are given are odd.
Learn more about numbers on:
brainly.com/question/15653848
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Answer:
17 days and a half.
Step-by-step explanation:
First, we can find how much money he makes per day cutting lawns. This can be found with the equation:
40 x 5 = 200
He makes $200 a day cutting lawns.
Now we can divide his goal money ($3500) by his daily rate ($200) to get the number of days it will take to reach his goal.
3500 ÷ 200 = 17.5
It will take him 17.5 days to reach his goal.
