First, you need to isolate the x in the first equation.
-x + 5y = 1
Subtract 5y from both sides, leaving you with the following equation:
-x = 1-5y
Because you are trying to solve for positive x and not negative x, you need to make x positive. Therefore you divide both sides by -1. In Algebra, when 1 is the coefficient of the variable, it is not shown, but it is still there. The new equation will be the following: x = 5y-1
Now you just need to substitute the x within the second equation for the x equation we just solved for.
Therefore, the right answer will be 2(5y-1)+4y= -4. Now, all you have to do is choose the answer that states exactly that, which is the first choice.
Mangoes = 4/9 x 180 = 80
Oranges = 5/9 x 180 = 100
Bananas = 3/9 x 180 = 60
Bananas:mangoes:oranges = 3:4:5 = 60:80:100
Total number of fruit = 60 + 80 + 100 = 240
Answer:
As Mixed Fraction
= $ (4 171717/1000000)
As a fraction
= $(4171717/1000000)
Step-by-step explanation:
A manufacturer determines that the cost of making a computer component is $4.171717. Write the repeating decimal cost as a fraction and as a mixed number
As a mixed fractions
= $4.171717 = $4 + 171717/1000000
= 4 171717/1000000
As. Fraction
= 4171717/1000000
Answer:
Length of rotated segment = 94 cm
Step-by-step explanation:
Rotation is transformation of a figure or a segment about a center which rotates the figure or segment about the center with the angle of rotation.
Rotation is that type of transformation in which the image and pre-image are congruent. This means that rotation has no effect on shape and size of figure or segment and thus, the shape and size of the figure or segment remains same after rotation.
It is given that a segment of length 94 cm is rotated degrees around a center .
The rotation will have no effect on size of the segment as stated above.
Thus, the segment after rotation will still measure 94 cm.