Answer:
10x + 12 and 6x² + 11x - 7
Step-by-step explanation:
The perimeter (P) of a rectangle is calculated as
P = 2l + 2w ( l is length and w is width )
= 2(2x - 1) + 2(3x + 7) ← distribute parenthesis
= 4x - 2 + 6x + 14 ← collect like terms
= 10x + 12
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The area (A) of a rectangle is calculated as
A = lw
= (2x - 1)(3x + 7) ← expand using FOIL
= 6x² + 14x - 3x - 7 ← collect like terms
= 6x² + 11x - 7
Answer:
Green and Blue ribbon
Step-by-step explanation:
Given
They collect
Red Ribbon = ½ mile
Green Ribbon = ⅛ mile
Blue Ribbon = ¼ mile
To find?
Which colors of ribbons will be collected at the ¾ mile mark.
The interpretation of the question is to test which of the above fractions can divide ¾ without a remainder; in other words, multiples of ¾.
Testing each fraction.
Red Ribbon = ½
¾ ÷ ½
= ¾ * 2
= 3/2
= 1.5 or 1 Remainder 1
This is not an exact multiple of ¾. So, the red ribbon won't be passed here.
Green Ribbon = ⅛
¾ ÷ ⅛
= ¾ * 8
= 24/8
= 3
This is an exact multiple of ¾. So, the green ribbon will be collected.
Testing the last ribbon
Blue = ¼
¾ ÷ ¼
= ¾ * 4
= 3
This is an exact multiple of ¾. So, the blue ribbon will be collected.
Hence, the green and blue ribbons will be collected at ¾ mile mark
It would be the first one because it says that there are 4 times as many red roses as pink roses and so that would be represented r=4p
Hope this helps! Good luck!
our X is 30 because 3x = 90 and if we divide that by 3 then we are left with 30, I knew it was equal to 90 degrees because of the little red box that symbolizes a 90 degree angle.
So now that we know X = 30 we can plug it in for (2x + 3y)
2(30) + 3y is equal to (60 + 3y) and if we equal that to the other side 3x and plug in for x on that side, we have a new equation of 90 = 60 + 3y so then from here we subtract 60 from both sides and are left with 30 = 3y and finally we divide 3
and our final answer is Y = 10 (((((((((((((((((((((((((((((:
