Answer:
Step-by-step explanation:
We can solve this question using proportion
Perimeter of the square/Time is takes to unlock
We are told in the question that:
The cellphone unlocks when the perimeter reaches 32 centimeters, taking a total of 2.5 seconds.
Hence, the perimeter of the square after 1.5 seconds is:.x = unknown
32/2.5 = x/1.5
Cross Multiply
2.5x = 32 × 1.5
x = 32 × 1.5/2.5
x = 19.2 centimeters
Answer:
1. y ≥ 100
2. y ≤ 300
3. y ≥ 20000
4. 2y ≥ 80
5. 2y ≤ 90
Step-by-step explanation:
Let y be the variable.
1. The discount is not less than 100.
If the discount (i.e y) is not less than 100, it means it is either 100 or greater than 100.
This can be written as:
y ≥ 100
2. The cost of the book is at most 300.
This implies that the cost of the book (i.e y) is either 300 or lesser.
This can be written as:
y ≤ 300
3. His monthly income is at least 20000. This simply means that his monthly income (i.e y) is 20000 or greater than 20000.
This can be written as:
y ≥ 20000
4. Twice the number is at least 80.
Let the number be y.
Twice the number y can be written as:
2y
But twice the number is at least 80.
This means that twice the number is 80 or greater than 80. This can be written as:
2y ≥ 80
5. Twice the measure of the acute angle is not more than 90 degree.
Let the angle be y.
Twice the angle can be written as:
2y
But twice the measure of the angle is not more than 90 degree. This implies that twice the angle is 90 or lesser than 90. This can be written as:
2y ≤ 90
Answer:
First mechanic: 12.8 hours & Second mechanic:12.8 hours
First mechanic made 832$ & Second mechanic made 768$
Hope this is right. If not I apologize and please let me know:)
Step-by-step explanation:
First you would do 65+60=125. You do this to find how much they charge together. Then you would take the amount of money they make and divide that from 125: 1600/125=12.8. Now that you have 12.8 you would plug that in for each mechanic: 65 times 12.8=832 and 60 times 12.8=768. Now you have the amount of money each mechanic made and the amount of hours they worked.
This is another one for my "impossible math question" file. All of the answer choices are wrong. (None applies.)
According to the problem statement, the length you have marked "x" in the diagram is 15 inches. If the side length of one of the pavers is "s", then the Pythagorean theorem tells us
s² + (2s)² = 15²
5s² = 225
s² = 225/5 = 45 . . . . . . the area of one square is 45 in² (not 225 in²)
Then
s = √45 = 3√5 . . . . . . . the length of one side is not 5√3
so the perimeter is
p = 4s = 4·3√5 in = 12√5 in ≈ 26.83 in . . . . not 75 inches.
The area of the 6-block L-shaped path is
total area = 6s² = 6·45 in² = 270 in² . . . . not 450 in²
And the total perimeter is 14 sides, so is
total perimeter = 14s = 14·3√5 in = 42√5 in . . . . not 60√3 in
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In cases like this where the answer key is incorrect, you might try asking your teacher show the class how to work the problem.
