Learning Task 3: Write The Equation Or Inequality Described In The Following, Problems, 8. The Sum O

Learning Task 3: Write the equation or inequality described in the following

problems
8. The sum of 6 times a number and fifteen is no more than forty-two,
9. Five times the measure of an angle is an cute angle.
UK
10. The circumference of the circle with radius y is at most 25.

 

Answer:Learning Task 3: Write the equation or inequality described in the following problems 1. JPs age is twice the age of Reyna. The sum of their ages does not exceed 51.n 57 _ 2. Twice the sum of a number and 10 is 55 33 Cut a 60-cm rbbon into two such that one part is one-third of the other. 4. The sum of two consecutive even integers is 162_ 5_ The sum of three consecutive integers is not more than 57_ 6. Nine subtracted from the quotient of a number and three is twenty-one. If seven is subtracted from six times a number, the result is at least 10. 8 . The sum of 6 times a number and fifteen is no more than forty-two. 9_ Five times the measure of an angle is an acute angle. 10. The circumference of the circle with radius Y is at most 25.

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Answer

Write a system of inequalities that describes the possible solutions to each problem and graph the solution set to the system. More Restrictions United Parcel Service defines the girth of a box as the sum of the length, twice the width, and twice the height. The maximum girth that UPS will accept is 130 in. A shipping clerk wants to ship parts in a box that has a height of 24 in. For easy handling, he wants the box to have a width that is less than or equal to two-thirds of the length. Write a system of inequalities that the box must satisfy and draw a graph showing the possible lengths and widths.

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Video Transcript

even a worse problem Ive written after the system inequalities. We know that l plus two w plus two h is less than or equal to 1 30 Were told the headache was 24. We finally were told that the width is less than or equal to to thirds l. So what we do is we plug in 24 here for H is gonna be 48. We can subtract that 48 to get l close to W. Its less than their equal to 92. It should be 82. So this is gonna give us our system of inequalities. And now we can just plug in. Lets call it Delta X to Why w call why, I think it gives this system of inequalities. She was. Do I equal to Native Ax plus 82 here lies less than or equal many of 1/2 X plus 41. Give us a line that goes through 41. The soap of negative on half. Its gonna look like that. And now we have that why you goes 2/3 of facts, that new line with slope of 2/3 that goes through the origin. They look something like that, and we know the answer is gonna be any point that falls

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