Answer:the fraction of Mary's garden that has tulips is 2/3
Step-by-step explanation:
Let x represent the full area if Mary's garden.
Mary plants roses in 1/4 of her garden. This means that the portion of the garden on which she planted roses would be 1/4 × x = x/4
She also plants some tulips in her garden. She has 1/12 of the garden left to plant more flowers. This means that the portion if the garden that she has left to plant more flowers would be 1/12 × x = x/12
The portion of the garden on which she planted tulips would be
x - (x/4 + x/12) = x - (3x + x)/12 = x - 4x/12
x - x/3 = (3x - x)/3 = 2x/3
Therefore, the fraction of Mary's garden that has tulips would be
(2x/3) /x = 2/3
First lets write out the equation:
-8x + 2x - 16 < -5x + 7x
Lets collect the x values
-6x - 16 < 2x
-8x - 16 < 0 (subtract both sides by 2x to get all the x's on one side)
-8x < 16 ( add both sides by 16 to get all the x's alone)
x < -2 ( divide both sides by -8 to get what just x is)
So x < -2
9514 1404 393
Answer:
11) 14
12) 390
13) 0.5
14) 497
15) 496
16) 1857.21
Step-by-step explanation:
If the digit to the immediate right of the underlined digit is 5 or greater, then the underlined digit is increased by 1 (carrying to higher digits, if necessary). Digits to the right of the underline digit are dropped, or replaced with zero (if they are left of the decimal point).
For #6
x + y = -10
x - y = 2
First solve for y in one of the equations
x - y = 2
-y = 2 - x
y = -2 + x
y = x - 2
Now substitute into one of the equations and solve for x
x + y = -10
x + x - 2 = -10
2x - 2 = -10
2x = -8
x = -4
