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Answer:

Farmer Bill sold 120 lb of potatoes

Step-by-step explanation:

Suppose farmer Bill had x lb of potatoes. He sold a quarter to the first person. A quarter is written as (1/4)x. After that, Bill had x-(1/4)x = (3/4)x.

Then he sold 4/9 of what was left to the second person, thus it was left 1-4/9=5/9 of the remaining potatoes. Multiplying both factors:

[tex]\frac{5}{9}*\frac{3}{4}x=\frac{5}{12}x[/tex]

This is the remaining portion of the potatoes.

Finally, he sold 4/5 of it and the last 10 lb. This means 1 - 4/5 = 1/5 of the remaining is equivalent to 10 lb:

[tex]\frac{1}{5}*\frac{5}{12}x=\frac{1}{12}x[/tex]

Thus:

[tex]\frac{1}{12}x=10[/tex]

x = 120 lb

Farmer Bill sold 120 lb of potatoes

The Farmer will sold 120 lb of potatoes.

Let us consider that farmer have x lb of potatoes.

He sold a quarter to the first person, that is  [tex]\frac{x}{4}[/tex]

Potatoes left,[tex]=x-\frac{x}{4} =\frac{3x}{4}[/tex]

4/9 of what was left to the second person,

 Potatoes sell to second person is, [tex]\frac{3x}{4} *\frac{4}{9} =\frac{x}{3}[/tex]

the third buyer bought 4/5 of what was left

       that is,          [tex]\frac{4}{5}*(\frac{3x}{4} -\frac{x}{3} ) =\frac{x}{3}[/tex]

Potatoes left [tex]=\frac{5x}{12} -\frac{x}{3} =\frac{x}{12}[/tex]

Since, Potatoes left = 10 lb

So,   [tex]\frac{x}{12} =10\\\\x=12*10=120[/tex]

Thus, The Farmer will sold 120 lb of potatoes.

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https://brainly.com/question/2785554

Answer:

16m+1

Step-by-step explanation:

Knowing about our proprieties about parentheses and negatives, let's solve this out.

A negative multiplied by a negative give you a positive

therefore....

-(-16m-1)= 16m+1

The -1 also receives the negative because the problem was in a parentheses :)

Answer:

20m/s

Step-by-step explanation:

Given, s=400m

t=20s

Required, v=?

v=s/t

=400m/20s

=20m/s

Answer:

b and e

Step-by-step explanation:

Answer:

2 and 5 or B and E

Step-by-step explanation:

on edge

Answer: 77/3 or 25.67

Step-by-step explanation:

3 1/2 * 11/3

3 * 2+1=7

7/3 * 11/3

7 * 11= 77

3 stays the same

77/3 or 25.67

Answer:

4 2/3

Step-by-step explanation:

You need to turn the fractions into improper fractions

To do that you multiply the whole number by the denominator and add the numerator, doing that will give you your new numerator, but the denominator stays the same

3 1/2. 3×2 = 6. 6+1=7 3 1/2 = 7/2

1 1/3. 1×3 = 3. 3+1 = 4. 1 1/3 = 4/3

Then multiply both numerator by each other and do the same for the denominators

7×4 = 28

2×3 = 6

28/6

Then simply it

28/6 = 4 2/3

Answer:

A

Step-by-step explanation:

(-3, 5) lie in the 2nd quadrant and it is given by point A

Answer:

D

Step-by-step explanation:

8^2 +12^2 = hyp ^2

64 +144 = hyp^2

208 =hyp ^2

Hyp = 4 root 13

x = sqaureroot of ( 18^2 + (4 root 13)^3)

x = sqaureroot of (324 +208)

x = sqaureroot of 532

x = 2 root 133

x = 23.065

x = 23

Please gimme brainliest

Answer:

5/3

Step-by-step explanation:

Trigonometric ratio

Cot θ = Adjacent side/Opposite side

It is given that,

Cot θ  = 4/3

Adjacent side = 4

Opposite side = 3

Csc θ = Hypotenuse/Opposite side

To find the Hypotenuse

Hypotenuse² = Opposite side² + Adjacent side ² = 3²+ 4²

Hypotenuse = √(3²+ 4²) = 5

To find Csc θ

Csc θ = Hypotenuse/Opposite side = 5/3

Answer:

Option D

Step-by-step explanation:

Answer:

y = 49

x = 15

Step-by-step explanation:

The angle is 90 degrees and on one side of the bisector is 41 so to find y all you have to do is 90 - 41 = 49

(7x + 13) + (2x - 9) + 41 = 180

add like terms -     9x + 45 = 180

subtract -               9x = 135

Divide -                    x = 15

Answer:

12 small, 18 large

Step-by-step explanation:

x - small

y - large

z- medium

4z=2x=3y then she orders 24

24/4=6 times more than usually, so we should *6 for every x and z

24z=6*2x=6*3y

12 - x - small tshirt

18 - y - large

Answer:

-3,-1,0,5,7

Step-by-step explanation:

Answer:

-3,-1,0,5,7

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

When I did the two questions on the white board, only equation one had infinite solutions. Equation 2 have no solutions.

Answer:

Please check the graph diagram attached.

From the diagram,

It is clear the parent function f(x) = x+8 has been translated down 5 units.

Step-by-step explanation:

The rule to determine the translating down 'b' units:

f(x) – b

It means if we have to translate a function f(x) 'b' units down, all we need is to subtract the 'b' units from the function output.

Given the function

f(x) = x + 8

In order to translate 5 units down, all we need is to subtract 5 units from the function.

i.e.

f(x) = x + 8 - 5

f(x) = x+3

Thus, we conclude that f(x) = x+3 is the translated function.

Please check the graph diagram attached.

From the diagram,

It is clear the parent function f(x) = x+8 has been translated down 5 units.

Answer:

angle N is 64 and the bottom one is 52

Step-by-step explanation:

M and N are the same angke and they add up to 128 and all angles in a triangle add up to 180 meaning the bottom angle is 52

Answer:

N = 64 if there is another letter it would be 52

Step-by-step explanation:

I hope this helps <3

Answer:

.66

Step-by-step explanation:

Step-by-step explanation:

[tex](x-3)-(+24) = 0 \\ x - 3 - 24 = 0 \\ x - 27 = 0 \\ x = 27[/tex]

Answer: 27

Step-by-step explanation: ..

Answer:

100.48 ft

Step-by-step explanation:

Answer:

All real values of x such that x != 5

Step-by-step explanation:

x cannot equal 5 because it will cause a division by 0 error

Answer:

Step-by-step explanation:

Start with a point at -7 on the y axis, and move up 2 right one repeatedly and keep making points. Then, connect them and you'll have your line.

Answer:

[tex]m\angle BYP=42^\circ[/tex]

Step-by-step explanation:

Lines and angles

The figure shows three lines forming two angles BYP and PYH whose measures add up to 90° because it's marked as a right angle.

[tex]m\angle BYP+m\angle PYH=90^\circ[/tex]

We are given the acute angles as a function of m. thus:

5m + 98 + 2m + 48 = 90

Simplifying:

5m + 146 = 90

5m = -56

m = -56/5 = -11.2

m = -11.2°

To find the measure of angle BYP, substitute m in

5m + 98 = 5*(-11.2) + 98 = 42°

[tex]m\angle BYP=42^\circ[/tex]

Answer:

65 + 45 + X = 180

110 + X = 180

X = 180 - 110

X = 70°

that means the other angle in the triangle is 70°

then to find the angle on a straight line

70 + y = 180

collect like terms

y = 180 - 70

y = 110°

that means the angle with the question mark is 110°

hope it helps

Answer:

no its not

Step-by-step explanation:

You would have to multiply 9w times -12 and 0 times -12 which does not equal the equation

Answer:

the Largest shed dimension is 13.5 ft by 13.5 ft

Largest Area is 182.25 ft²

Step-by-step explanation:

Given that;

Perimeter = 54 ft

P = 2( L + B ) = 54ft

L + B = 54/2

L + B = 27 ft

B = 27 - L ------------Let this be equation 1

Area A = L × B

from equ 1, B = 27 - L

Area A = L × ( 27 - L)

A = 27L - L²

for Maxima or Minima

dA/dL = 0

27 - 2L = 0

27 = 2L

L = 13.5 ft

Now, d²A/dL² = -2 < 0

That is, area is maximum at L = 13.5 using second derivative test

B = 27 - L

we substitute vale of L

B = 27 - 13.5 = 13.5 ft

Therefore the Largest shed dimension = 13.5 ft by 13.5 ft

Largest Area = 13.5 × 13.5 = 182.25 ft²

Step-by-step explanation:

25%=50

75%=150

100%=200

hope it helps

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Answer:

the slope is m= 5/31 :)