Answer:
a. x > 0.2
Step-by-step explanation:
In either order, subtract the left-side constant and divide by the x-coefficient.
3x +2.4 > 3
3x > 0.6 . . . . . . subtract 2.4
x > 0.2 . . . . . . . divide by 3
__
or
x + 0.8 > 1 . . . . divide by 3
x > 0.2 . . . . . . . subtract 0.8
Cost of each shirt bought by Brain = 14.50
Then
Cost of 2 shirts bought by Brain = 2 * 14.50
= 29
Cost of a pair of shoes = 29.99
Total amount spent by Brain before tax = 29 + 29.99
= 58.99
Percentage of sales tax that needs to be paid = 6%
Amount of sales tax that needs to be [paid = (6/100) * 58.99
= 353.94/100
= 3.54
So
the total amount spent by Brain including tax = 58.99 + 3.54
= 62.53
I hope this is the answer you were looking for.
Answer:
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Question
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A boy is cycling such that the wheels of the cycle are making 140 revolutions per minute. If the diameter of the wheel is 60cm, calculate the speed per hour with which the boy is cycling.
Easy
Solution
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Radius of the wheel =r=
2
60
=30 cm
Circumference of the wheel =2πr=2×
7
22
×30=
7
1320
cm
Distance covered in 1 revolution =
7
1320
cm
Distance covered in 140 revolutions =
7
1320
×140=26400 cm=264 m=
1000
264
km
Distance covered in one minute = Distance covered in 140 revolutions =
1000
264
km
Distance covered in 1 hour =
1000
264
×60=15.84 km
Hence, the speed with which the boy is cycling is 15.84km/hr.
Answer:
-2 3/4 < -1 1/2
Step-by-step explanation:
Positives are always greater than negatives (Example: 2 is greater than -2).
This eliminates the first and last inequalities.
Smaller negative numbers are always greater than larger negative numbers (Example: -2 is greater than -4).
This eliminates the third unequality.
For the second given inequality, convert the fractions to share the same denominator.
-2 3/4 < -1 2/4
They are both negative numbers.
We know smaller negative are always greater than larger negative numbers.
This inequality aligns with this statement.
Therefore, only the second inequlity is true.
