You have 80 pieces of fabric to make a wall hanging. Each piece of fabric is a square with a side length of 5 inches. You use as many pieces of fabric as possible to create a square wall hanging.What is the area of the wall hanging?
How many pieces of fabric are left over?
How many more pieces of fabric would you need to increase the size of the wall hanging?
Answers
The square wall hanging made from pieces of fabric will have an area of 1600 square inches. There will be 16 pieces of fabric left over. 1 more piece of fabric is needed to increase the size of the wall hanging.
The first thing to do in this process is to determine how many square pieces of fabric you can use to form a larger square. In order to have a square, you need the same number of pieces on each side, so the number of pieces used must be a perfect square. The largest perfect square less than or equal to 80 is 64 (which is 8^2), so you would use 64 pieces to form the wall hanging.
Therefore, the area of the wall hanging (which is side squared) is therefore 8 pieces x 5 inches x 8 pieces x 5 inches = 1600 square inches.
To find out how many pieces are left over, you subtract the number of pieces used from the total you started with, therefore 80 - 64 = 16 pieces of fabric are left over.
To increase the size of the wall hanging by one row and column (which remains a square), you would need to go up to the next perfect square which is 9^2 = 81, so you need 81 - 80 = 1 more piece of fabric.
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and we could make 3 squares. 75
5inches will be left over.
Related Questions
Determine the degree of the polynomial −65b+53x3y.
In the supply-and-demand schedule shown above, the equilibrium price for portable music players is _____.$100$150$250
What Is 12 Divided By 1/10?
Solve One-Step EquationsSolve the equation.x/2= 5 for x
Answers
Answer:
2/15
Step-by-step explanation:
p(first white)=4/10=2/5;
P(second white)=3/9=1/3;
P(both white)=2/5 x 1/3=2/15
An
1/2
Step-by-step explanation:
There are 10 balls total and two balls are removed and not replaced so your fraction is 4/8 but you need to simplify it to 1/2
6x - y/2 =14
(-9, 3), (2, - 4)
A. Neither is a solution
в. The first is not a solution, but the second is
C. Both are solutions
D The first is a solution but the second is not
Answers
6(-9)-(3)/2=14 => -54-3/2=14 => -55 -1/2 = 14
Which false so the first point is not a solution.
Next point:
6(2)-(-4)/2=14 => 12+2=14 => 14=14
This is clearly true, so the second point is a solution.
Final answer:
Answer choice B, the first is not a solution but the second is.
Hope I helped :)
6x-y/2=14
6x=14+y/2
6x-14=y/2
y/2=6x-14
y=12x-28
just plug in the values and
(-9,3)
3=12(-9)-28
3=-108-28
obviously wrong
(2,-4)
-4=12(2)-28
-4=24-28
-4=-4
seconone is correct so then answer is B (the first is not a solution, but the second is)
Answers
Answer:
GH = 17 units
GI = 39 units
HI = 39 units
Step-by-step explanation:
We are given the following information in the question:
Triangle GHI is an isosceles triangle.
The measures of side are:
It is given that
GI = HI
Thus, the measures of three sides are:
Answers
Reason:
50 tens is basically ten 50 times. 10 x 50 = 500
One ten is 10. Therefore, to find 50 tens, you must times 50 by 10. When multiplying a number greater than 0 by 10, you simply add a 0 to the end of the number. Following this rule, 50 tens is 500.
b. $100 is what percentage of $50?
Answers
B) 200% of $50
b.) Same as a,
100%/x% = 100/50
(100/x)*x = (100/50)*x Multiply both sides by x
100 = 2*x
100/2 = x
50 = x
x= 50