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HACTEHA [7]
3 years ago
14

Simplify. 1/4(1−2/3)^2+1/3

Mathematics
1 answer:
ad-work [718]3 years ago
3 0

Answer:

13/36

Step-by-step explanation:

1 - 2/3 equals 1/3 which is inside the parenthesis

square the number in parenthesis (1/3) and it equals 1/9

multiply the 2 fractions 1/4 and 1/9 to get 1/36

finally add 1/3 with 1/36

12/36 + 1/36 would equal 13/36

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Jose is a botanist studying production of coconuts by two different groups of his
Colt1911 [192]

Answer: 132

Step-by-step explanation:

Since we are informed that Group 1 of trees produced 25 percent more coconuts than Group 2 did and that Group 1 produced 165 coconuts, the number of coconuts that Group 2 produce will be:

= [100 / (100 + 25)] × 165

= 100/125 × 165

= 0.8 × 165

= 132

Group 2 produced 132 coconuts.

5 0
3 years ago
If there are 420 woman and 330 men what are their %?
atroni [7]
56% women and 44% men. To solve add total number of people (750). Divide the number of men by the number of total people to get the percent of men in decimal form (0.44) and multiply by 100 to get 44%. The remaining 56% is the amount of women.
3 0
3 years ago
Read 2 more answers
The triangle shown on the graph above is rotated 90 degrees clockwise about the original to form triangle P’Q’R which of the fol
azamat

Hey there! I'm happy to help!

When rotating a point 90 degrees clockwise about the origin, our original point (x,y) becomes (-y,x), because it is now at a negative y-value.

We see that our point P is at (1,2). We can use this rotation formula to find the coordinates of P' (the new spot where P is)/

(x,y)⇒(-y,x)

(1,2)⇒(-2,1)

Therefore, the coordinates of the point P' are (-2,1).

Have a wonderful day! :D

4 0
3 years ago
What is the equation of the line that passes through (-3,7) and (1,-1)
balandron [24]

Answer: y = -2x + 1  or y +2x - 1 = 0

Step-by-step explanation

Recall, equation of a line passing through two coordinates is

y - y₁ =  y₂ - y₁              ( x - x₁ )

           ₋₋₋₋₋₋₋₋     x  

           x₂ - x₁

note , (x₁ = -3), (x₂ = 1), (y₁ = 7), (y₂ = -1)

Now substitute for those values in the above equation

y - (7) = -1 - 7

            ------         X  ( x - (-3)

            1 - (-3)

y - 7   =  -8/4  X  ( x + 3 )

y - 7   = -2(x + 3 )

y - 7   = -2x - 6

The equation now

y  =  -2x -6 + 7

y = -2x + 1  or

y + 2x - 1 = 0.

6 0
3 years ago
Graph a line that passes through (1,3) and has a slope of 2
castortr0y [4]

Answer: y=2x+1

Step-by-step explanation:

Let's use point-slope form which is y-y1 = m(x-x1)

Let's substitute these in.

y-3 = 2(x-1)

y-3 = 2x-2

y = 2x+1

When graphed on desmos it looks like this:

8 0
3 years ago
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