A saleswoman earns a 30% commission on all the merchandise that she sells. Last month she sold $400 worth of merchandise. How much commission (in dollars) did she earn last month?

Answer:

A

Step-by-step explanation:

Answer:

[tex] 40 \frac{1}{2} [/tex]

Step-by-step explanation:

[tex] 4 \frac{1}{2} \times 2 \frac{2}{5} \times 3 \frac{3}{4} = [/tex]

[tex] = \dfrac{9}{2} \times \dfrac{12}{5} \times \dfrac{15}{4} [/tex]

[tex] = \dfrac{9 \times 12 \times 15}{2 \times 5 \times 4} [/tex]

[tex] = \dfrac{9 \times 3 \times 3}{2 \times 1 \times 1} [/tex]

[tex] = \dfrac{81}{2} [/tex]

[tex] = 40 \frac{1}{2} [/tex]

Answer:

4 1/2 * 2 2/5 * 3 3/4 = 81/2 or 40 1/2 or 40.5

Hope this helps!

Answer:

The answer is 42ft ^3 (42 ft units cubed)

Step-by-step explanation:

To find the volume for a rectangular prism, first of all you need to know the formula. The formula is V=lwh (volume= length x width x height)

The formmula for this problem is V= 7ft x 2ft x 3ft= 42ft

Answer:

The line AB is a tangent of the circle with center C.

Answer:

Step-by-step explanation:It must be an equal ratio- 2:3:7 = n:n:112

Now, to find the other numbers (n) in the ratio, we have to find the relationship between the two proportions.

To get from 7 to 112, we must multiply by 16. This is the relationship.

So, we must multiply both, the walnut and raisin cookies by 16 also.

2 x 16 = 32 = Raisin

3 x 16 = 48 = Walnut

Already known: 112 = Pinwheel

Now that we have all the data, we can make the ratio.

Raisin : Walnut : Pinwheel

32 : 48 : 112

Hope this helps! :)

Answer: -12

Step-by-step explanation:

4 1/2-5 1/8= -5/8 divided by 7 1/2

= -12

Hope this helped!!<3

Answer:

-12

Step-by-step explanation:

4 4/8 – 5 1/8 = (4 – 5) + (4/8 – 1/8) = -1 + 4 – 1/8 = -1  + 3/8 = -5/8

7 1/2 ÷ 5/8 = 15/2 ÷ -5/8 = 15/2 × 8/-5 = 15 × 8 2 × -5 = 120 -10 = 120/-10 ÷ 10/10= –12

Answer:

6 yards is more, 6 yards converted into inches is 216

Step-by-step explanation:

Answer:

6 yards

Step-by-step explanation:

1 inch = 0.0277778 yard

=> 215 inches = 5.97222 yards

- But 5.97222 < 6

Therefore, 6 yards are longer than 215 inches

Answer:

The standard deviation of the probability distribution is 1.02.

Step-by-step explanation:

Standard deviation of the distribution:

Square root of the sum of the difference squared between each value and the mean multiplied by its probability.

Mean:

Each value multiplied by its probability. So

[tex]E(X) = 0*0.1 +1*0.5 + 2*0.1 + 3*0.3 = 1.6[/tex]

Standard deviation:

[tex]\sqrt{V(X)} = \sqrt{0.1*(0-1.6)^2 + 0.5*(1-1.6)^2 + 0.1*(2-1.6)^2 + 0.3*(3-1.6)^2} = 1.02[/tex]

The standard deviation of the probability distribution is 1.02.

Answer:

x represents nickels = 2

3x represents number of quarters = 6

Step-by-step explanation:

x represents nickels

3x represents number of quarters

We'll multiply each of those times the value of the coin they represent, and make that equal to the total amount of money Mark has to get the value of x

x(0.05) + 3x(0.25) = 1.60

0.05x + 0.75x = 1.60

0.80x = 1.60

x = 2 = number of nickels

So 3x = 6 = number of quarters

Checking the math:

2(0.05) + 6(0.25)= 0.10 + 1.50 = 1.60

Answer:

1537.92$

Step-by-step explanation:

Answer:

b. 869.6 ft²

Step-by-step explanation:

The figure is composed of an equilateral triangle and a trapezoid

Therefore,

Area of the figure = area of the triangle + area of the trapezoid

✔️Area of triangle = ½*a*b*Sin C

Where

a = 22 ft

b = 22 ft

C = 60° (mall angles of an equilateral triangle measures 60°)

Area = ½*22*22*Sin 60°

Area = 209.58 ft²

✔️Area of trapezoid = ½(a + b)h

a = 22 ft

b = 38 ft

h = 22 ft

Area = ½(22 + 38)22

Area = ½(60)22

Area = 960 ft²

✔️Area of the figure = 209.58 + 660 = 869.58 ≈ 869.6 ft²

Answer: =2/15

Step-by-step explanation: Hope this help :D

Answer:

2/15

Step-by-step explanation:

4/5 - 2/3

Step 1: Find a common denominator. 5 and 3 don't share any factors other than 1, so multiply them to get 15.

12/15 - 10/15

(12 - 10)/15

Step 2: Subtract 10 from 12 to get 2.

2/15

4/5 - 2/3 simplified is 2/15.

Answer:

X=-2, y=3

Step-by-step explanation:

Answer:

One of the angles is 42 degrees the other one is the same.

To find the missing angle you need to subtract the 2 angles with 90 and what you get is the missing angle so

42 - 42 - 90 = 90

I believe this is the right answer my bad if its not

Answer:

Area of the composite figure = 84 in²

Step-by-step explanation:

Area of the composite figure = Area of rectangle DEFG + Area of rectangle BCGH + Area of triangle ABH

Area of rectangle DEFG = DE × EF

                                        = 5 × 10

                                        = 50 in²

From ΔBHA,

AB = ED = 5 in [Given]

AH = FA - (GH + FG)

     = 15 - (7 + 5)

     = 15 - 12

     = 3 in.

By applying Pythagoras theorem in ΔABH,

AB² = HB² + AH²

5² = HB² + 3²

25 - 9 = HB²

HB = √16

HB = 4 in

Area of rectangle BCGH = BC × HB

                                         = 7 × 4

                                         = 28 square in.

Area of triangle ABH = [tex]\frac{1}{2}(\text{Height})(\text{Base})[/tex]

                                   = [tex]\frac{1}{2}(BH)(AH)[/tex]

                                   = [tex]\frac{1}{2}(4)(3)[/tex]

                                   = 6 in²

Therefore, area of the composite figure = 50 + 28 + 6

                                                                  = 84 in²

Answer:

use m a t h w a y

Step-by-step explanation:

put it all together and they will give you opitions

Answer:

55

Step-by-step explanation:

complementary angle means either of two angles whose sum is 90°.

we can use this to find that angle abc is 55 and since angle abc and ebf are opposite the measure the same

Answer:

1st option maybe?

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Adjacent angles are two angles that have a common vertex and a common side but do not overlap.They share the same vertex and the same common side.

Answer:

Step-by-step explanation:

1/2 ÷ 2/3 = 1/2 x 3/2 = 3/4 -_- so easy

Answer:

The first one is three the second is four

Step-by-step explanation:

1/2÷2/3 (do copy, dot, flop)

1/2·3/2

1·3=3

2·2=4

3/4

The two numbers in bold are the answers

Answer:

The answer is B

Step-by-step explanation:

Answer:

1/20

Step-by-step explanation:

1/20 +x = ⅒

multiply through by 20

1+20x=2

1-2=-20x

-1= -20x

1/20=x

Answer:

61.3°

Step-by-step explanation:

For angle x, 12 is the adjacent leg. 25 is the hypotenuse.

The trig ratio that relates the adjacent leg and the hypotenuse is the cosine.

cos A = adj/hyp

cos x = 12/25

x = cos^-1 12/25

x = 61.3°

Answer:

54.308 kilograms

Step-by-step explanation: