Answer:
60
Step-by-step explanation:
50%=.50
160×.50=80
160+80=240
25%=.25
240×.25=60
60 is the final number
That would be the commutative property
The surface area of the balloon is 249 in².
<h3>What is the surface area of the balloon ?</h3>
A balloon has the shape of a sphere. The distance round the sphere is equal to the circumference of the sphere.
Circumference of the sphere = 2πr
Where:
- r = radius
- π = pi = 22 / 7
Radius - circumference / 2π
28 / ( 2 x 22/7) = 4.45 inches
Surface area of a sphere = 4πr²
4 x 22/7 x 4.45² = 249 in²
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The algebraic expression that represents the number of hours Anna and Tamara traveled the first two days is (2x - 1) hours.
<h3>How to write Algebraic Word Problems?</h3>
We are told that;
On the first day, Anna and Tamara stop for sightseeing and lost 2 hours of travel time.
On the second day, they did not stop for lunch and gained 1 hour.
Now, we are told that x is the number of hours driven per day. Thus, for two days, number of hours driven is expressed as 2x.
Now, since they lost 2 hours on the first day, then total hours travelled is;
2x - 2 hours
On the second day, they gained 1 hour. Thus;
Final total number of hours traveled = 2x - 2 + 1
Final total number of hours traveled = (2x - 1) hours
Thus, we can conclude that the algebraic expression that represents how many hours Anna and Tamara traveled the first two days is (2x - 1) hours.
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Based on the calculations, we can describe the area of the striped rectangle as 4/10 × 2/3.
<h3>What is a rectangle?</h3>
A rectangle can be defined as a type of quadrilateral in which its opposite sides are equal and all the angles formed are right angle.
<h3>How to calculate the area of a rectangle?</h3>
Mathematically, the area of a rectangle can be calculated by using this formula;
A = LW
<u>Where:</u>
- A represents the area of a rectangle.
- l represents the length of a rectangle.
- w represents the width of a rectangle.
<u>Given the following data:</u>
Width = 3 rectangles (top to bottom).
Length = 10 rectangles (left to right).
Substituting the given parameters into the formula, we have;
Area = 10 × 3
Area = 30 rectangles.
From the diagram (see attachment), we can logically deduce that the striped rectangle comprises 8 rectangles, and the required area is given by:
Area of striped rectangle = 8/20 of the other portions
Area of striped rectangle = 8/20 × 20/30
Area of striped rectangle = 4/10 × 2/3.
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