iris is a sales woman whose base pay plus commissions amounted to $69,464 last year. if her base pay was 39,710 and she made $78,300 in sales last year, what was her rate of commission?​

Answer: c = about 7.21

Step-by-step explanation:

ok - pythagorean theorum

6^2+4^2=C^2

36 + 16 = c^2

52 = c^2

root both sides

c = about 7.21

The solution to the equation 6^2 + 4^2 = C^2 is approximately 7.21

The equation is given as:

6^2 + 4^2 = C^2

Evaluate the exponents of 6 and 4

36 + 16 = C^2

Evaluate the sum

52 = C^2

Take the square root of both sides

7.21 = C

Rewrite as:

C = 7.21 (approximated)

Hence, the solution to the equation is approximately 7.21

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Step-by-step explanation:

a.

add up all the grams to get the total

60 + 40 + 100 = 200

butter is 60 out of 200 or

60/200 or (divide top & bottom by 20)

3/10 = answer

b.

3 ÷ 10 =

.33 = answer

c.

salt =

40 ÷ 200 = 1/5 = .20 =

20% = answer

flour

100 ÷ 200 = 1/2 = .50 =

50% = answer

Answer: 55 [tex]\frac{5}{9}[/tex] feet² or 55.556 feet²

Step-by-step explanation:

      The scale means that for ever one in the scale drawing, it is 20 in the actual room. We will convert the dimensions using proportions.

  [tex]\frac{5}{x}=\frac{1}{20}[/tex]

  100 = x

-> The length is 100 inches

  [tex]\frac{4}{x}=\frac{1}{20}[/tex]

  80 = x

-> The width is 80 inches

    The area of a rectangle can be found by multiplying the length by the width:

A = L * W

A = 100 * 80

A = 8,000 inches²

  To get this into square feet, we will divide by 144. Why? There are 12 inches in a foot. 12 times 12 is 144.

8,000 inches² / 144 = 55 [tex]\frac{5}{9}[/tex] feet²

            The area of the room, in square feet, is 55 [tex]\frac{5}{9}[/tex] feet².

[tex]6 sin² x + 4 cos²x = Stanx[/tex]

[tex]Correct option is B)

Given, 4cos2x+6sin2x=5

[/tex]

[tex]⇒4cos2x+4sin2x+2sin2x=5

⇒2sin2x=1⇒sin2x=21=(21)2

⇒x=nπ±4π

[/tex]

[tex]~~~~~~6 \sin^2 x + 4 \cos^2 x = 5 \tan x \\\\\implies 3 \cdot 2\sin^2 x + 2 \cdot 2 \cos^2 x = 5 \tan x\\ \\\implies 3(1- \cos 2x ) + 2( 1 + \cos 2x) = 5 \tan x\\\\\implies 3 - 3 \cos 2x +2 +2 \cos 2x = 5 \tan x\\\\\implies 5- \cos 2x = 5 \tan x\\ \\\implies 5 - \left(\dfrac{1- \tan^2 x}{ 1+ \tan^2 x} \right)=5 \tan x\\\\\implies \dfrac{5+5 \tan^2x -1 + \tan^2 x}{1+ \tan^2 x} = 5 \tan x\\\\\implies 4 + 6\tan^2 x = 5( \tan x)(1+ \tan^2 x)\\\\\implies 4 +6\tan^2 x = 5 \tan x + 5 \tan^3 x[/tex]

[tex]\implies 5\tan^3 x -6 \tan^2 x+5 \tan x-4=0\\\\\implies 5 \tan^3 x - 5 \tan^2 x - \tan^2x + \tan x+ 4\tan x -4=0 \\\\\implies 5\tan^2 x(\tan x-1) -\tan x(\tan x-1) +4(\tan x-1)=0\\\\\implies ( \tan x - 1)( 5 \tan^2 x- \tan x +4) =0\\\\\implies \tan x =1\\\\\implies x = n \pi+ \dfrac{\pi}4[/tex]

Hello!

We have two different scenarios that we have to solve in the question. We will be solving for both the x and y variable.

We were given the equation: -3y + 2x = -18

To solve for our variables, we will use the values given in our question.

Solve:

Lets solve for the value "y", where our x = 0

Plug in 0 to x and solve:

-3y + 2(0) = -18

-3y = -18

y = 6

Lets now solve for the value "x", where our y = 0

Plug in 0 to y and solve:

-3(0) + 2x = -18

2x = -18

x = -9

Therefore, our answers would be: y = 6, x = -9

Answer:

y = 6

x = -9

Answer:

Diagonal is = 16.97

Step-by-step explanation:

To find the length of a diagonal across a square use this formula

Plug in

D = 16 . 97

====================================

[tex] \large \sf \underline{Problems:}[/tex]

====================================

[tex] \large \sf \underline{Answers:}[/tex]

[tex] \large \qquad \qquad \bold{ \#1. \: x \: = \: 4}[/tex]

[tex] \large \qquad \qquad \bold{ \#2. \: x \: = \: \frac{7}{2} }[/tex]

[tex] \large \qquad \qquad \bold{ \#3. \: x \: = \: 6}[/tex]

====================================

[tex] \large \sf \underline{Solutions:}[/tex]

[tex] \therefore[/tex] The answer of you're problem is x = 4.

====================================

[tex] \therefore[/tex] The answer of you're problem is 7/2.

====================================

[tex] \therefore[/tex] The answer of you're problem is x = 6.

====================================

Hope this helps!

Step-by-step explanation:

we need 2 1/2 × 2 = 5 cubes along the length.

1 1/2 × 2 = 3 cubes along the the width.

and 1 1/2 × 2 = 3 cubes along the height.

altogether we need

5×3×3 = 45 cubes

and the volume is

2 1/2 × 1 1/2 × 1 1/2 = 5/2 × 3/2 × 3/2 = 45/8 = 5 5/8 yd³

There are 96 cubes are there for each of the length, width, and height of the prism.

The volume of a rectangular prism is 12 yd³.

A prism is a three-dimensional solid object in which the two ends are identical. It is the combination of flat faces, identical bases, and equal cross-sections.

A rectangular prism has a length of 2 1/2yd, a width of 1 1/2yd, and a height

of 1 1/2yd.

length 2 1/2 and half yd​ = 2 1/2+ (1/2) yd = 5/2 + 1/2 = 6/2= 3 yd

Width 1 1/2 and half yd​ = 1 1/2 + (1/2) yd = 3/2 + 1/2 =  (4/2) = 2 yd

Height 1 1/2 and half yd = 1 1/2 + (1/2) yd = 3/2 + 1/2 =  (4/2) = 2 yd

Cubes of edge length (1/3) yd are used to fill the rectangular prism.

The length would contain (3) ÷ (1/2) = 6

The width would contain (2) ÷ (1/2) = 4

The height would contain (2) ÷ (1/2) = 4

How many cubes are there for each of the length, width, and height of the prism?

6 × 4 × 4 = 96 cubes

There are 96 cubes are there for each of the length, width, and height of the prism.

What is the volume of the prism?

The volume of rectangular prism = 3 × 2 × 2 = 12

The volume of a rectangular prism is 12 yd³.

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Answer:

None

Step-by-step explanation:

By using the equation a^2 +b^2=c^2 we can see if it will work.

Substitute a for 6 and b for 2 to get 6^2+2^2=40

when you [tex]\sqrt{40}[/tex] you don't get 7 therefore you cant make any triangles

Answer:

0.00014

Step-by-step explanation:

just use calculator...

(1.1x10^-3) - (9.6x10^-4) = 0.00014

Answer:

10 x 2 = 20 dollars. 250/12= 20.8333333

Step-by-step explanation:

Answer:

None

Step-by-step explanation:

[tex]4x-6 = 2(2x+3)\\4x-6 = 4x+6\\0x -12 = 0\\no solutions[/tex]

Answer: There are no solutions for the equation.

Step-by-step explanation:

4x - 6 = 2(2x + 3)

4x - 6 = 4x + 6                                                        

-6 = 6                                                                        

Answer:

Step-by-step explanation:

Question 1:

x² = -8x - 7

x² + 8x = -7

(x + 4)² = 9

So the answer is (x + 4)² = 9

Question 2:

(x + 4)² = 9

So x = -4 ± 3

Answer:

attached below

Step-by-step explanation:

minus 2 from each side in order to isolate T with the coefficient. To get rid of the coefficient multiply to get 1 which is 5 in this case. Then the answer will be 75

The value of the composite function f(x) . g(x) is 77x^7  + 78x^6 - 27x^5

The functions are given as:

f(x) = 11x^3 - 3x^2

g(x) = 7x^4 + 9x^3

The value of f(x) . g(x) is calculated as:

f(x) . g(x) = (11x^3 - 3x^2) *  (7x^4 + 9x^3)

Expand

f(x) . g(x) = 77x^7  + 99x^6 - 21x^6 - 27x^5

Evaluate the like terms

f(x) . g(x) = 77x^7  + 78x^6 - 27x^5

Hence, the value of the composite function f(x) . g(x) is 77x^7  + 78x^6 - 27x^518x^5

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Answer:

See below

Step-by-step explanation:

The turtle’s distance from his starting point is increasing between 0 and 6

seconds (which means it is getting larger in that time interval)

The turtle’s distance from his starting point is constant between 6 and 8 seconds (which means it is not moving in that time interval!)

The turtle’s distance from his starting point is decreasing between 8 and 12

seconds (which means it is getting smaller in that time interval)

Answer:

0-6, 6-8, 8-12

Step-by-step explanation:

For this, we'll have to use the numbers along the x-axis to measure. The line begins moving in a positive direction (up) from 0 to 6, which at that point, it remains stationary until 8 seconds. It then moves in a negative direction (down) all the way to 12.

If I can explain or elaborate in any way, please let me know.

Hope this helps!

[tex]\text{First term,}~ a = x+1\\\\\text{Common ratio,}~ r = \dfrac{x-3}{x+1}= \dfrac{x-1}{x-3}\\\\\text{Now,}\\\\~~~~~~\dfrac{x-3}{x+1} = \dfrac{x-1}{x-3}\\\\\\\implies (x-3)(x-3) = (x-1)(x+1)\\\\\\\implies (x-3)^2 = x^2 -1\\\\\\\implies x^2 -2\cdot 3x +3^2 =x^2 -1\\\\\\\implies -6x+9=-1\\\\\\\implies -6x = -1 -9\\\\\\\implies -6x = -10\\\\\\\implies x =\dfrac{-10}{-6}\\ \\\\\implies x = \dfrac 53[/tex]

Answer:

0.85

Step-by-step explanation:

35 divided by 100= 0.35 + 5 divided by 10 = 0.5

0.35 + 0.5 = 0.85

Answer:

17/20

Step-by-step explanation:

35/100+5/10

=35/100+50/100

=85/100

=17/20

Answer:

D

Step-by-step explanation:

6i = 3/5i

8j = 4/5j

3/5i + 4/5j

Answer:

t =  6m + 9g.

Step-by-step explanation:

Total number of batteries is t.

t =  6m + 9g.

Answer:

f(3)=11

Step-by-step explanation:

f(x) = 2x + 5

to find f(3) we simply plug in 3 where ever x is

So f(3) = 2(3) + 5

==> multiply 2 and 3

f(3) = 6 + 5

==> add 6 and 6

f(3) = 11

Answer:

5

Step-by-step explanation:

5,10,15,20,25,30,35,40,45,50

6,12,18,24,30,36,42,48,54

The marginal cost is the change in the total cost that arises when the quantity produced is incremented, the cost of producing additional quantity.

a). First construct total variable cost for each level Q -- simply multiply Q by AVC. So

Q TVC

1 1

2 4

3 9

4 16

5 25

6 36

Now calculate marginal cost as the change in TVC for each level Q.

Q MC

1 1

2 3

3 5

4 7

5 9

6 11

b) with price = 10, firm will produce 5 but not 6 units.

c) calculate total profits at Q=5. Total revenue is $50, total costs is $25+$16 = $41. Since there are profits to be made, more firms will enter, shifting the supply curve out, Price will fall, quantity goes up. Each firm will supply the same or less as price falls.

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Amiya + Ravi = 72

x + 2x = 72

3x = 72

x = 72/3

x = 24

therefore Amiya has 24 stamps

Huiling has 8 more than Amiya = 24 + 8 = 32stamps

hope it helps...!!!

Answer:

so,6-1 3+7x5 9

Multiple: 7 * 5 = 35

Divide: the result of step No. 1 / 9 = 35 / 9 = 3.88888889

Add: 3 + the result of step No. 2 = 3 + 3.88888889 = 6.88888889

Answer:

Step-by-step explanation:

you multiple each hight and base

Answer:

72 percent

Step-by-step explanation:

7/25, x 4 to get a fraction of 100

28/100

100 - 28 = 72

72 percent

Answer:

Ashley still needs to finish 72 percent of her homework

Step-by-step explanation:

Happy to help!! :D