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Solve the following problems: 21. -3 - 4 = ? 22. Joshua had 3 1/2 kg of sugar. He used 1 1/4 kg and bought 2 1/2 kg more. How much sugar does he have now? 23. Convert 0.1888... to a fraction.
ScanSolve AI Answer
Step-by-step solution
19 steps21.
Start at on the number line.
Subtracting 4 means moving 4 units to the left from .
The final position on the number line is .
The integer is .22.
Convert all mixed numbers to improper fractions.
Initial sugar: kg
Sugar used: kg
Additional sugar bought: kgCalculate the remaining sugar.
Remaining sugar = Initial sugar - Sugar used + Additional sugar bought
Find a common denominator, which is 4.
Perform the addition and subtraction.
Convert the improper fraction back to a mixed number.
Joshua finally remained with of sugar.
23.
Let be the given repeating decimal.
Multiply by 10 to move the non-repeating digit past the decimal point.
Multiply by 100 to move one full repeating block past the decimal point.
Subtract equation (2) from equation (3) to eliminate the repeating part.
Solve for .
The number as a fraction is .
24.
The problem asks to calculate the distance covered, but the image of the athletic field does not provide any dimensions (e.g., length of straight sections, radius of semicircles). Without these dimensions, it is impossible to calculate the perimeter of the track or the total distance covered.25.
Identify the dimensions of the rectangular tin.
Height () = 30 cm
Base length () = 20 cm (since it's a square base)
Base width () = 20 cmCalculate the volume of the tin in cubic centimeters.
The formula for the volume of a rectangular prism is .
Convert the volume from cubic centimeters to cubic meters.
We know that .
Therefore, .The volume of the paint that can fit in the container is .
26.
Identify the given distance and time.
Distance () = 432 Km
Time () = 6 hoursConvert the distance from kilometers to meters.
Convert the time from hours to seconds.
Calculate the average speed using the formula .
Wangina's average speed is .
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