Answer:
the ratio in lowest terms is: 7 knives to 8 spoons = 7/8
Step-by-step explanation:
First express the ratio 105 knives to 120 spoons as the quotient:
next write each of the numbers in prime-factor form:
105 = 3 x 5 x 7
120 = 2 x 2 x 2 x 3 x 5
Now notice that when we express the quotient sing the factor form of the numbers, the factor 3, and 5 can be cancelled out because they appear in numerator an in denominator at the same time. therefore our quotient becomes:
Therefore the ratio in lowest terms is: 7 knives to 8 spoons
-4x > 500
Divide -4 on both sides.
(Now this is very important, whenever you divide OR multiply an equality by a NEGATIVE number the sign will ALWAYS flip.)
x < -125
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Answer:
Perimeter of rectangle 1=4x+4
Perimeter of rectangle 2=4x+4
Step-by-step explanation:
Two squares with the same dimension
Square 1: let length=x
Square 2: let length=x
Since they have same dimensions
He added two inches to the length of square 1 to make it a rectangle
Rectangle 1: width=x, length=x+2
Perimeter=2(l+w)
=2{(x+2)+x}
=2(x+2+x)
=2(2x+2)
=4x+4
He added two inches to the width of square 2 to make it a rectangle
Rectangle 2: length=x, width=x+2
Perimeter=2(l+w)
=2{(x+(x+2)}
=2(x+x+2)
=2(2x+2)
=4x+4
The two rectangles have equal perimeter
The center after enlargement using scale factor is (4.5,0.5).
What is Scale factor ?
The ratio between the scale of an original thing and a new object that is a representation of it but is a different size is known as a scale factor (bigger or smaller). For instance, if a rectangle has sides of 2 cm and 4 cm, it can be made larger by multiplying each side by a certain number, in this case 2.
Here the given coordinate point is,
=> (x,y)=(3,1)
Now enlarging the coordinator using scale factor k
=> (x,y)= (kx,ky)
Now put k=2 then
=> (x,y)=(0.5*3, 0.5*1)
=>(x,y) = (4.5,0.5)
Hence the answer is (4.5,0.5).
To learn more about scale factor
brainly.com/question/23652612
#SPJ13
You would want to round to the nearest $1 so that the total would be more accurate.
