If $500 was earned on $10,000 total worth of sales, then the commission rate is:

Answer:

a = 29

b = 20

Step-by-step explanation:

2a - 1 = 57

    + 1     + 1

2a = 58

/ 2    / 2

a = 29

2a - 1 + 7b - 17 = 180

2 (29) - 1 + 7b - 17 = 180

58 - 1 + 7b - 17 = 180

57 + 7b - 17 = 180

7b + 40 = 180

      - 40     - 40

7b = 140

/ 7      / 7

b = 20

Answer:

[tex] -2 \: \: 4[/tex]

Step-by-step explanation:

-2 4 is not an equivalent equation

Answer:

c

Step-by-step explanation:

duh

Answer:

14

Step-by-step explanation:

If each cupcake needs 1/2 cup of sugar, you need to divide the total cups of sugar by 1/2.

7 1/3 ÷ 1/2= 14.6

You cant have .6 of a cupcake, therefore she can make 14 cupcakes.

Answer:

8y-2x

Step-by-step explanation:

Answer:

Slope = 46.000/2.000 = 23.000

x-intercept = 6/23 = 0.26087

y-intercept = -6/1 = -6.00000

9514 1404 393

Answer:

Step-by-step explanation:

Let q represent the number of quarters (the higher-value item). Then 145-q is the number of dimes. The total collection is worth ...

  0.25q + 0.10(145 -q) = 24.25

  0.15q = 9.75 . . . . . . . . . . . . . . . . subtract 14.50; collect terms

  q = 65 . . . . . . . . . . . divide by 0.15

  d = 145 -q = 80

Ted has 80 dimes and 65 quarters.

___

Check

  80 dimes: $8.00

  65 quarters: $16.25

Total: $8.00 +16.25 = $24.25.

Answer:

Your answer would be x = -240

Step-by-step explanation:

1. First do 2-12 to get a denominator of -10.

2. Multiply -10 on both sides to get x = 24 * -10

3. Solve 24 * - 10 to get x = -240

Answer:

s = 150f

Step-by-step explanation:

A tropical punch recipe calls for 300 ml of sugar for every 2 flavor packages. Write an equation that shows the relationship between s, the amount of sugar in milliliters, and f, the number of flavor packages for this recipe.

The amount of sugar in milliliters = s

The amount of flavor packages for these recipe = f

The relationship between 2 variables

= y ∝ x

y = kx

k = constant of proportionality

Hence:

s ∝ f

s = kf

Note ,

s = 300

f = 2

300 = 2k

k = 300/2

k = 150

Therefore, the equation that shows the relationship between s, the amount of sugar in milliliters, and f, the number of flavor packages for this recipe is:

s = kf

s = 150f

Answer:

2=150f

Step-by-step explanation:

khan said so

Answer: m

Step-by-step explanation:

in y=mx+b, m is the slope and b is the y intercept.

Answer:

M

Step-by-step explanation:

The slope in y=mx+b is the letter M.

Answer:

Okay the ratio of starfish to fish is 3:6 or 3/6 but simplified it is 1/2

The starfish ratio to 16 fish would be 8 or 16:8

and if there was one less starfish in the line the ratio would be 2:6 or 2/6 but simplified would be 1/3

Step-by-step explanation:

Okay to solve the first question we see that there are 6 fish and 3 starfish, when put into a ratio it is 3:6 (the reason the number of starfish is first in the ratio is because it is starfish to fish hence starfish goes first ). If you are wanting the ratio to be in fraction form you are going to put 3/6 and since 3 goes into 3 once and 6 twice so the fraction is 1/2

3:6 = 3/6 = 1/2

Since the ratio from starfish to fish is 1/2 of that number you are going to divide 16 by 1/2 or more like multiply:

16/ 1/2 = 16/1 * 1/2 = 16/2 = 8

I hope this helps you!!!

When the ratio of starfish is short of one then the ratio would be 2: 6 or in fraction form 2/6 but simplified is 1/3.

2:6 = 2/6 = 1/3

Answer:

1090 miles

Step-by-step explanation:

50525 - 48345 = 2180 miles in the two weeks

2180/2 (to find out how many miles in 1 week) = 1090

Answer:

Step-by-step explanation:

∠7 = 180 - 90

∠7 = 90°

see image below

Answer:

90°

Step-by-step explanation:

angle 7 is supplementary to the angle next to itself which has a measurement of 90° and since the sum of two supplementary angle would be 180° we can say that m<7 = 90° as well

Answer:

18

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

|3x - 2y| + 5

x = -3

y = 2

Step 2: Evaluate

Answer:18

Step-by-step explanation:

|3x-2y|+5

|3(-3)-2(2)|+5

|-9-4|+5

|-13|+5

13 + 5

18

Answer:

∣∣3.45∣∣=3.45

Step-by-step explanation:

Answer:

3.45 and -3.45

Step-by-step explanation:

Answer:

1)b

2)d)80/360×36π≈25.12cm²

4)d)32.5

5)c)135°

6)d)4π/3

Step-by-step explanation:

1) because as we know

Circle equation

=(x-a)²+(y-b)²=r²

=(x-5)²+(y+1)²=36 (given)

=(x-(+5))²+(y-(-1))²=6²

So

C(5,-1)and r=6

2)as we know area of sector

=Theta/360×πr²

=80/360×6²π

80/360×36×3.14

80/10×3.14

=25.12

4)to figure out 4 we have to separate the shape into 2 parts

First  semi-circul

Second rectangle

So the parameter of the shape

=Circumference of semi-circul + the parameter of the rectangle

=[10π×½+2(10+3.4)]-10 (as the dashed line is not a part of parameter)

=[15.7+26.8]-10

=32.5

5)3π/4

3×180/4

540/4

135

6)240°

240°×π/180°

4π/3

Answer:

TanФ=-1.793

Step-by-step explanation:

[tex]Sin^{2} (A) + Cos^{2} (A) = 1[/tex]

[tex]Sin(A)=\sqrt{1-Cos^{2} (A)}[/tex]

[tex]Tan(A) = \frac{Sin(A)}{Cos(A)}[/tex]

[tex]Tan(A) =\frac{\sqrt{1-Cos^{2}(A) } }{Cos(A)} \\Tan(A) =\frac{\sqrt{1-(-.487)^{2} } }{-.487}=-1.793433202[/tex]

Answer:

a = -2

b = -30

c = -22.5

d = -18

Step-by-step explanation:

I answered all the equations and highlight the correct ones which are answer choices B and C.

Answer:

Clouds

Step-by-step explanation:

Since the heat cause the water to evaporate into water vapors.

Answer:

r = -6 cos(θ)

Step-by-step explanation:

got it right on edge

The equation (x + 3)² + y² = 9 into polar form is r = -6 cos(θ). The correct answer would be option (A).

The polar form of a complex number is given by r(cos(θ) + i sin(θ)), where r is the distance from the origin and θ is the angle formed by the point and the positive x-axis.

To convert the equation (x + 3)² + y² = 9 into polar form, we can complete the square on the x and y terms:

(x + 3)² + y² = (x² + 6x + 9) + y² = 9

Then we can express x and y in terms of r and θ:

x = r cos(θ) , y = r sin(θ)

Substituting these values into the equation and simplifying:

r² cos²(θ) + 6r cos(θ) + r² sin²(θ) = 9

r²(cos²(θ) + sin²(θ)) + 6r cos(θ) = 0

r² + 6r cos(θ) = 0

r(r + 6cos(θ)) = 0

Since r ≠ 0

So, the polar form of the equation is:

r = -6cos(θ)

Thus, the correct answer would be an option (A).

To learn more about the Polar Coordinates click here:

https://brainly.com/question/614180

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Answer:

x = 25

Step-by-step explanation:

A segment joining the midpoints of 2 sides of a triangle is half the length of the third side, that is

x - 8 = [tex]\frac{1}{2}[/tex] × 34 = 17 ( add 8 to both sides )

x = 25

Answer:

6

Step-by-step explanation:

Answer:

-6 and -8

Step-by-step explanation:

-6+(-8)=-14

-6(-8)=48

It made me reload lol

Answer:

-1/6

Step-by-step explanation:

Answer: -1/6

Step-by-step explanation:

Use the slope-intercept form  y=mx + b to find slope m

Answer:

1.00 good luck!!!!! btw I hope u were talking about GPA because if so thats ur answer

Probability helps us to know the chances of an event occurring. The correct option is C.

Probability helps us to know the chances of an event occurring.

[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]

Given that Students are 37% likely to major in Performing Arts; 43% likely to choose Science and Technology; 82% likely to major in Business and Management; and 63% likely to select Humanities. Therefore,  the probability of the union of majoring in either Performing Arts or the Humanities is,

P(Humanities ∪ Arts) = P(Humanities) + P(Arts) - P(Humanities)(Arts)

                                  = 0.63 + 0.37 - (0.63 x 0.37)

                                  = 1 - 0.2331

                                  = 0.7669 ≈ 0.77

Hence, the correct option is C.

Learn more about Probability:

https://brainly.com/question/795909

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Answer:

5) 12  6) -12  7) -6  8) 2  9) 80 degrees  10) 40 degrees

Step-by-step explanation:

:)

Answer:

2 is the slope

Step-by-step explanation:

the equation is y=mx+b so if it is

y= 2x+7 that means the slope is 2

Answer:

2

Step-by-step explanation:

This equation is in y=mx+b form.

Slope = m

Y-intercept = b

This will give you the slope of 2 :)