Find the constant of variation k for the direct variation.

A . K = -2

B . K = 2

C . K = -0.5

D . K= -1.5

Answer:

A. 40

Step-by-step explanation:

CP= x, SP= £36, sale= 10%

SP= CP- 10%= CP*0.9

x*0.9= £36

x= £36/0.9= £40

Answer:

D. a = 29, b = 16, c = 24, d = 30, e = 22

Step-by-step explanation:

got it right on edge

The number of students who like both algebra and geometry is 27.

A Venn diagram is an overlapping circle to describe the logical relationships between two or more sets of items.

We have,

The number of students who like both algebra and geometry is the intersection of A and G, denoted as A ∩ G.

The number of students who like algebra only is the difference between A and A ∩ G, denoted as A - A ∩ G.

The number of students who like geometry only is the difference between G and A ∩ G, denoted as G - A ∩ G.

The number of students who do not like either subject is the complement of the union of A and G with respect to U, denoted as U - (A ∪ G).

We are given that:

A = 45

G = 53

U = 75

U - (A ∪ G) = 6

Now,

U - (A ∪ G) = 6

75 - (45 + 53 - A ∩ G) = 6

27 = A ∩ G

Therefore,

The number of students who like both algebra and geometry is 27.

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The complete question.

A group of 75 math students were asked whether they like algebra and whether they like geometry. A total of 45 students like algebra, 53 like geometry, and 6 do not like either subject.

Find the number of students who like both algebra and geometry.

Answer:

85.84 ft²

Step-by-step explanation:

The surface area of the fabric would be the total net area of the shape of the tent covered.

Thus, surface area = area of the 3 rectangular faces + area of the 2 triangular faces

From the diagram given, the 3 rectangular faces have the same dimensions as follows:

L = 6ft

W = 4ft

Area of the 3 rectangular faces = 3(6*4) = 3(24) = 72ft²

The 2 triangular faces have the same dimensions as follows:

B = 4f

H = 3.46ft

Area of the 2 triangular faces = 2(½*B*H)

= 2(½*4*3.46)

= 2(2*3.46)

= 2(6.92)

= 13.84 ft²

Surface area of fabric used to cover the triangular tent = 72ft² + 13.84ft² = 85.84 ft²

Answer:

85.84

Step-by-step explanation:

Hey there! :)

Answer:

y = -3/2x - 6

Step-by-step explanation:

Begin by isolating the 'y' variable:

3x + 2y = -12

Subtract both sides by 3x:

2y = -3x - 12

Divide both sides by 2:

y = -3/2x - 6

Therefore, the equation in y = mx + b form is:

y = -3/2x - 6

Answer:

y= -1.5x-6

Step-by-step explanation:

In order to turn this equation into y=mx+b form, we need to move x to the other side.

Step 1 : Minus 3x on each side, leaving the equation into 2y=-12-3x

Step 2 : Now that we have everything on the right side, divide the equation by 2.

Step 3 : After dividing -12 and -3x, we are left with -6 and -1.5x (or -1/2x) which leaves us with y=-1.5x (OR -1/2x) - 6.

Answer:

Step-by-step explanation:

#1: True

#2: False

#3: False

#4: False

#5: True

I hope I've helped you.

Answer:

58

Step-by-step explanation:

First, find the interior angle adjacent to the angle GFD.

180 - (34+24) = 180 - 58 = 122

Now, the exterior angle = 180 - 122 = 58

hope this helps

Answer:

La mayor tiene 61 años.

Step-by-step explanation:

Sea x,y,z la edad de la mayor, intermedio y la menor respectivamente.

Tenemos las siguientes ecuaciones:

[tex]x+y+z=127[/tex] (la suma de las edades es 127)

[tex]x = z+30[/tex] (la mayor tiene 30 años más que la menor)

La frase "y la del intermedio 26 menos que la menor" no tiene sentido, puesto que esto implicaría que la del intermedio es menor que la menor. Luego se asume que la frase ha de ser "y la del intermedio 26 menos que la mayor"

[tex]x-26 = y[/tex] (la del intermedio tiene 26 menos que la mayor).

La segunda ecuación se traduce a x-30 =z. Si reemplazamos todo en la primera ecuación obtenemos

[tex]x+(x-26)+(x-30) = 127[/tex]

Obtenemos la ecuación

[tex]3x-56 = 127[/tex]

Sumando 56 a ambos lados y dividiendo por 3, obtenemos

[tex] x = \frac{127+56}{3} = 61[/tex]

Es decir la mayor tiene 61 años.

Answer:

log base 10 of 40/9, log(40/9), or 0.6478

Step-by-step explanation:

Easiest and fastest way to do this is to plug it into the calc because the log base 10 of those numbers given will be nasty decimals.

Answer:

256in²

Step-by-step explanation:

Just add the area the two Rectangals = A=128*2 = 256in² or calclute the whole and deduct the 2 missing sqares 16

384-128=256in²

Answer:

x> 1/6

Step-by-step explanation:

-2(8x – 4)< 2x + 5

Distribute

-16x +8 < 2x+5

Add 16x to each side

-16x +8+16x < 2x+16x+5

8 < 18x+5

Subtract 5 from each side

8-5 < 18x

3 < 18x

Divide each side by 18

3/18 < 18x/18

1/6 < x

Answer:

[tex]x > \frac{1}{6} [/tex]

First answer is correct.

Step-by-step explanation:

[tex] - 2(8 x - 4) < 2x + 5 \\ - 16x + 8 < 2x + 5 \\ - 16x - 2x < - 8 + 5 \\ - 18x < - 3 \\ \frac{ - 18x}{ - 18} < \frac{ - 3}{ - 18} \\ x > \frac{1}{6} [/tex]

Answer:

[tex] \sin(b) = \frac{12}{13} [/tex]

Step-by-step explanation:

This is the answer of this question.

Answer: Amount in account after 3 years $513.52

Interest accrued in 3 years is $63.52

Step-by-step explanation:

450 x 4.5% = 20.25

Add to balance 20.25 + 450 = 470.25

470.25 x 4.5% = 21.16

Add to balance 21.16+470.25=491.41

491.41 x 4.5% = 22.11

Add to balance 22.11 + 491.41 = 513.52

Answer:

5 ft, I think

Answer:

h = 2.5

Step-by-step explanation:

250 + 200h = 300 + 180h

250 + 200h - 180 = 300 + 180h - 180

250 + 20h = 300

250 - 250 + 20h = 300 - 250

20h = 50

20h ÷ 20 = 50 ÷ 20

h = 2.5

Answer:

y=5x+15

Step-by-step explanation:

We get y=5x+15 since she charges a one time fee of $15 and $5 every hour.

Answer:

Answer D

Step-by-step explanation:

Answer:

[tex]-72x^8[/tex]

Step-by-step explanation:

=> [tex](-2x^2)^3*(-3x)^2[/tex]

=> [tex]-8x^6*9x^2[/tex]

=> [tex](-8*9) *(x^6x^2)[/tex]

When bases are same powers are to be added

=> [tex](-72)(x^{6+2})[/tex]

=> [tex]-72x^8[/tex]

Answer:

[tex]- 72x^{8}[/tex]

Step-by-step explanation:

[tex]( - 2x^2 )^3 \times ( - 3x )^2[/tex]

Distribute the exponents to the brackets.

[tex]( - 2^3x^{2\times 3} ) \times ( - 3^2x^2 )[/tex]

[tex]( - 2^3x^{6} ) \times ( - 3^2x^2 )[/tex]

[tex]( - 8x^{6} ) \times ( 9x^2 )[/tex]

[tex]- 8 \times x^{6} \times 9 \times x^2[/tex]

[tex]- 8 \times 9 \times x^2 \times x^{6}[/tex]

Multiply like terms and add exponents with same bases.

[tex]- 72 \times x^{2+6}[/tex]

[tex]- 72 \times x^{8}[/tex]

0.96176920308

Answer:

20 degrees

Step-by-step explanation:

If BD is the angle bisector of ABC, then ABD must equal half of that. 40/2=20 degrees. Hope this helps!

Answer:

[tex]m\angle ABD =20^\circ[/tex]

Step-by-step explanation:

According to the given statement the two angles are equal.

[tex]3x-1=34-2x\\\\\Rightarrow x=7\\\\m\angle ABD = 3(7)-1 = 20^\circ[/tex]

Best Regards!

Answer:

[tex]\frac{5x+1}{5}[/tex]

Step-by-step explanation:

Given Condition:

=> x+50%-30%

=> x+20%

=> [tex]x+ \frac{20}{100}[/tex]

LCM = 100

=> [tex]\frac{100x+20}{100}[/tex]

Taking 20 common

=> [tex]\frac{20(5x+1)}{100}[/tex]

=> [tex]\frac{5x+1}{5}[/tex]

Hope this helps!

Don't hesitate asking anything regarding this!

Answer:

-40960

Step-by-step explanation:

5,-10,20,..

first term= 5 and common ratio= -2

aₙ= a₁*rⁿ⁻¹

a₁₄= 5*(-2)¹³= -40960

Answer:

g(x)=3^x-4, this one is exponential so it would have the greatest rate of change as x approaches infinity. The first one is a line and the third one is a parabola.

Step-by-step explanation:

Answer:

slope is undefined

Step-by-step explanation:

We can use the slope formula

m = (y2-y1)/(x2-x1)

   = (-4 -1)/(8-8)

     = -5/0

We cannot divide by zero so the slope is undefined

Answer:

Slope is undefined .

Step-by-step explanation:

        y2 - y1

m =   ---------------  

         x2 - x1

           -4 - 1             -5

m =   ---------------  =  ----- -  = 0

            8 - 8             0

Answer:

30° each

Step-by-step explanation:

Complementary angles are those that add up to 90° so if they are all equal then it's

90/3=30°

Answer: 30° each

Complementary angles are those that add up to 90° just to remind you!!

Answer:

4x+12

Step-by-step explanation:

The area of a rectangle is given by

A = l*w

A = (x+3) *4

Distribute

A = 4x+12

Answer:

[tex]g_{n}=g_{n-1} *-3[/tex]

Step-by-step explanation:

A recursive formula is [tex]g_{n}=g_{n-1} *r[/tex].  N is the number of terms and r is the rate of change.  R here equals -3 because you are multiplying by -3 eachtime.  Therefore, the recursive formula is [tex]g_{n}=g_{n-1} *-3[/tex]

Answer:

Step-by-step explanation:

In the picture above

I hope it helps :)

Answer:

The answer is 150.

Step-by-step explanation:

Eliminate the second and third piece of the function, because they do not include t= -10 in their range. Now, input t= -10 in the first piece. That will give you f(-10)= (-10)^2 - 5(-10)= 150.

Answer:

10=.50n+1.50

Step-by-step explanation:

The total cost, c, of n chicken wings can be represented by a system of equations as follows c = 0.50n + 1.50

c = total cost

n = number of chicken wings

Therefore,

The cost of chicken wing at restaurant Z is $0.50 per wings plus a one time $1.50 charge for sauce.

The system of equation that represent the system is as follows:

c = 0.50n + 1.50

The one time fee for sauce is just like a constant in the equation.

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Answer: Look at the picture :)

The pairs of rectangles that are similar polygons are those in;

1 and 4

For two rectangles to be similar polygons, it means that the ratio of their corresponding sides must be the same.

In question 1;

Ratio of corresponding left sides = 1225/3.5 = 350

Ratio of corresponding bottom sides = 144/1.2 = 120

Ratios do not correspond and as such they are not similar polygons.

In question 2;

Ratio of corresponding left sides = 13/5.2 = 2.5

Ratio of corresponding bottom sides = 5/2.5 = 2

Ratios do not correspond and as such they are not similar polygons.

In question 3;

Ratio of corresponding left sides = 18/4.5 = 4

Ratio of corresponding bottom sides = 6/1.5 = 2l4

Ratios correspond and as such they are similar polygons.

In question 4;

Ratio of corresponding left sides = 40/8 = 5

Ratio of corresponding bottom sides = 15/3 = 5

Ratios correspond and as such they are similar polygons.

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