A farmer sells 9.9 kilograms of pears and apples at the farmer's market. 3 5 of this weight is pears, and the rest is apples. How many kilograms of apples did she sell at the farmer's market?

9514 1404 393

Answer:

Step-by-step explanation:

The green line is shown as having a length of 8.

The black line is shown as having two parts that add up to the total length of the black line: v + 5.

The problem statement tells you these are the same length. An equation that says they are equal is ...

  8 = v + 5

__

This is solved by subtracting 5 from both sides of the equation.

  8 -5 = v +5 -5

Combining like terms gives ...

  3 = v

The solution is v = 3.

Answer:

The equation of the line is:

[tex]y = -\frac{1}{2}x + 3[/tex]

Step-by-step explanation:

Equation of a line:

The equation of a line has the following format:

[tex]y = mx + b[/tex]

In which m is the slope and b is the y-intercept.

Perpendicular lines:

If two lines are perpendicular, this means that the multiplication of their slopes is -1.

Perpendicular to y=2x+7

This means that:

[tex]2m = -1[/tex]

[tex]m = -\frac{1}{2}[/tex]

So

[tex]y = -\frac{1}{2}x + b[/tex]

Passing through the point (-4,5)

This means that when [tex]x = -4, y = 5[/tex]. We use this to find b.

[tex]y = -\frac{1}{2}x + b[/tex]

[tex]5 = -\frac{1}{2}(-4) + b[/tex]

[tex]2 + b = 5[/tex]

[tex]b = 3[/tex]

The equation of the line is:

[tex]y = -\frac{1}{2}x + 3[/tex]

Find the stationary points.

f(x) = x + 16/x

f '(x) = 1 - 16/x ²

Solve f '(x) = 0.

1 - 16/x ² = 0   →   x ² = 16   →   (x - 4) (x + 4) = 0

→   x = -4, x = 4

Check the value of f at the stationary points. x = -4 is not in the provided domain so we can omit it.

f (4) = 8

Check the value of f at the boundary of the domain.

f (0.2) = 401/5 = 80.2

f (16) = 17

Then over [0.2, 16], we have max(f ) = 401/5 and min(f ) = 8.

Answer:

y = 5      

Step-by-step explanation:

Any line with a slope of 0 is horizontal, represented by the equation y = a number. That number is the y-value of all the points the line intersects.

We know that that the line intersects (9,5). So, take the y-value of that point and write it into the equation of y = a number. Thus, the answer is y =5.

[tex]a_{1}=2\\a_{n}=6a_{n-1}[/tex]

The recursive formula is  aₙ = 2(6)ⁿ⁻¹.

A recursive formula for a geometric sequence with common ratio r is given by aₙ = a₁ rⁿ⁻¹ for n≥2.

Given: 2, 12, 72, 432,..

r= 12/2= 6

a= 2

The recursive  formula for the nth term,

aₙ = a₁ rⁿ⁻¹

aₙ = 2(6)ⁿ⁻¹

Hence, the recursive formula is aₙ = 2(6)ⁿ⁻¹

Learn more about this concept here:

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Answer:

The minimum cost is $17.30c

Step-by-step explanation:

Given

[tex]V = 288[/tex] --- Volume

[tex]C_1 = 0.06[/tex] --- cost of wall paint

[tex]C_2 = 0.16[/tex] ---cost of ceiling paint

Required

Minimum cost of paint

The volume is calculated as:

[tex]V =xyz[/tex]

Substitute 288 for V

[tex]288 =xyz[/tex]

Make z the subject

[tex]z = \frac{288}{xy}[/tex]

The surface area is calculated as:

[tex]Area = 2(yz + xz) + xy[/tex]

Because xy represent the dimension of the ceiling and the opposite of the ceiling (the floor) will not be painted. Hence, it does not require a coefficient of 2

The cost is:

[tex]C = 0.06 * 2(yz + xz) + 0.16 * xy[/tex]

Substitute [tex]z = \frac{288}{xy}[/tex]

[tex]C = 0.06 * 2(y*\frac{288}{xy} + x*\frac{288}{xy}) + 0.16 * xy[/tex]

[tex]C = 0.06 * 2(\frac{288}{x} + \frac{288}{y}) + 0.16 * xy[/tex]

[tex]C = 0.12(\frac{288}{x} + \frac{288}{y}) + 0.16 * xy[/tex]

[tex]C = (\frac{34.56}{x} + \frac{34.56}{y}) + 0.16 * xy[/tex]

[tex]C = (\frac{34.56}{x} + \frac{34.56}{y}) + 0.16 xy[/tex]

Differentiate w.r.t x and y

[tex]C_x = -\frac{34.56}{x^2} + 0.16y[/tex]

[tex]C_y = -\frac{34.56}{y^2} + 0.16x[/tex]

By comparison: [tex]x = y[/tex]

Set them equal to 0

[tex]C_y = -\frac{34.56}{y^2} + 0.16x=0[/tex]

[tex]-\frac{34.56}{y^2} + 0.16x=0\\[/tex]

Substitute x for y

[tex]-\frac{34.56}{x^2} + 0.16x=0[/tex]

[tex]0.16x=\frac{34.56}{x^2}[/tex]

Cross multiply

[tex]0.16x^3 = 34.56[/tex]

[tex]x^3 = \frac{34.56}{0.16}[/tex]

[tex]x^3 = 216[/tex]

Take the cube root of both sides

[tex]x = \sqrt[3]{216}[/tex]

[tex]x = 6[/tex]

[tex]x=y= 6[/tex]

Substitute 6 for x and for y in [tex]C = (\frac{34.56}{x} + \frac{34.56}{y}) + 0.16 xy[/tex]

[tex]C = (\frac{34.56}{6} + \frac{34.56}{6}) + 0.16 * 6* 6[/tex]

[tex]C = (\frac{2*34.56}{6}) + 5.76[/tex]

[tex]C = 11.52 + 5.76[/tex]

[tex]C = 17.28[/tex]

[tex]C = 17.3[/tex] --- approximated

Answer:

cubic

Step-by-step explanation:

you can eliminate all of the other ones

Answer:

cubic

Step-by-step explanation:

quadratic = makes a parabola - U shaped

linear = makes a straight line

cubic = makes a shape just like the one in the picture

square root = makes a curved shape and its also a shape that looks like half of a parabola lying on its side

Answer:

C.

HOPE THIS HELPS

-Todo <3

Step-by-step explanation:

2*2=4

a) a total of 677 were not satisfied. Of these 494 made a purchase  494/677

b) a total of 624 made a purchase. Of these 494 were not satisfied 494/624

Answer:

k= 16

Step-by-step explanation:

89-9=80

80/5=16

16=k

Answer:

5k+9=89

5k=89-9

5k=80

k=16

Answer:

Equation: [tex]143 + g = 180[/tex]

[tex]g =37[/tex]

Step-by-step explanation:

Given

The attached figure

Required

The equation to find g and the solution

From the attached: Angles ACD, DCE and ECB lie on a straight line.

Where

[tex]ACD = 90[/tex]       [tex]DCE = 53[/tex]     [tex]ECB = g[/tex]

This means that:

[tex]ACD + DCE + ECB = 180[/tex]

[tex]90 + 53 + g = 180[/tex]

[tex]143 + g = 180[/tex]

Subtract 143 from both sides

[tex]-143 + 143 + g = 180 - 143[/tex]

[tex]g = 37[/tex]

Answer:

90$

Step-by-step explanation:

X(40%) = 36$

X(40/100) =36

40X = 3600

X = 90$

(recheck: 90$ x 40%= 36$)

Answer:

6

Step-by-step explanation:

Answer:

What is the slope of a line perpendicular to the line whose equation is 2x+y=3?

Step-by-step explanation:

-1/2

Step-by-step explanation:

perpendicular slopes are the opposite reciprical

so you basically flip it and change the sign

I hope this helps :)

Answer:B

Step-by-step explanation:

Answer:

27

reason:

did it recently

Answer:

I) ∠2 and ∠5

Step-by-step explanation:

Answer:

47.12389 Rounded is 47.12

Step-by-step explanation:

V=πr2h=π·12·15≈47.12389

Answer:

960

Step-by-step explanation:

You have to figure out what 1/4th of 640 is, which is 160.

It says that number is 1/6th of boys, so you multiply by the inverse.

160x6 = 960

well since all of the girls = 4/6ths of the boys that would mean 24/24girls=16/24boys  

16/24 is 66.666666666667% of 24/24

66.666666666667% of 640 is426.666666667 but in my head i would round up so:

Approximately

427 boys and 213 girls.

Answer:

82 m should be correct i hope

Step-by-step explanation:

Answer:

2.) 46.9        3.) 25.6

Step-by-step explanation:

Answer:

2. 46.857

3. 25.571

Step-by-step explanation:

Add all the numbers together and then divide by the number of numbers you added.

12+67+34+10+78+78+49=328

328/7=46.857

10+10+13+13+45+21+67=179

179/7=25.571

Answer:

The solutions I found to this system of equations are (1, 0) and (⁸/₁₅, -7).  

I keep second guessing and recalculating the second point there, so I'd suggest double-checking it by going through the work yourself.  The first one checks out though.

Step-by-step explanation:

Let's solve this by substitution, where one equation is solved for one variable and substituted in to the other.  As the latter equation is already solved for y, we can simply substitute it into the other:

given:

   y = 3x² - 4x + 1

   3x - 5y = 3

then:

  3x - 5(3x² - 4x + 1) = 3

Which we can then simplify and solve:

3x - 15x² + 20x - 5 = 3

-3x + 15x² - 20x + 5 = -3

15x² - 23x = -8

Now we can find find the solution by completing the square:

15(15x² - 23x) = 15(-8)

225x² - 345x = -120

225x² - 345x  + (23/2)² = -120 + (23/2)²

225x² - 345x  + 529/4 = -120 + 529/4

(15x - 11.5)² = -120 + 132.25

(15x - 11.5)² = 12.25

15x - 11.5 = ± √12.25

15x - 11.5 = ± 3.5

15x = 11.5 ± 3.5

x = (11.5 ± 3.5) / 15

x = 15 / 15, and 8 / 15

x = 1, and 0.5333...

Now that we have x, we can solve for y.

given: 3x - 5y = 3

for x = 1:

3 - 5y = 3

y = 0

for x = ⁸/₁₅:

3(⁸/₁₅) - 5y = 3

5y = 3(⁸/₁₅) - 3

5y = ²⁴/₁₅ - ⁴⁵/₁₅

5y = -²¹/₁₅

y = -²¹/₃

y = -7

So the solutions to this system of equations are (1, 0) and (⁸/₁₅, -7).

Answer:

I cant see the picture

Step-by-step explanation: