aurora bought a book with a new five dollar bill she got one-dollar bill two quarters and a dime back how much was the book

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:

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:

use m a t h w a y

Step-by-step explanation:

put it all together and they will give you opitions

Answer:

7/2 = 35/10

3/5 = 6/10

Step-by-step explanation:

To get a common denominator of 10, simply multiply the current denominator by any number to equal 10. The first fraction has a denominator of 2. If we divide 10 by 2, we get the answer 5. This means 2 can be multiplied by 5 to get a denominator of 10. However, what we do to the denominator we must also do to the numerator (multiply by 5).

7/2

7 × 5 / 2 × 5

35/10

3/5

3 × 2 / 5 × 2

6/10

Answer:

7/2 = 35/10

3/5 = 6/10

Step-by-step explanation:

[tex]\frac{7}{2}\cdot \frac{5}{5}=\frac{35}{10}[/tex]

[tex]\frac{3}{5}\cdot \frac{2}{2}=\frac{6}{10}[/tex]

Answer:

54.308 kilograms

Step-by-step explanation:

Answer:

The answer is B

Step-by-step explanation:

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:

96 cm²

Step-by-step explanation:

From the question,

s = (2πr∅/360)+2r................. Equation 1

Where s = Perimeter of a sector, r = radius, ∅ = angle subtend by the sector at the center of the circle.

Given: s = 40 cm, r = 8 cm

Constant : π = 3.14.

Substitute into equation 1 and solve for ∅

40 = (2×8×3.14×∅/360)+(2×8)

40 = (50.24∅/360)+16

40-16 = 50.24∅/360

50.24∅/360 = 24

50.24∅ = 24×360

50.24∅ = 8640

∅ = 8640/50.24

∅ = 171.97°

Area of a sector (A') = ∅πr²/360

A' = 171.97×3.14×8²/360

A' = 95.997

A' ≈ 96 cm²

Answer:

A

Step-by-step explanation:

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:

X=-2, y=3

Step-by-step explanation:

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:

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: -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

34.75

35.15

You didnt give any choices so i just picked two random ones.

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:

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:

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:

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:

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:

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 unit rate is $1.99. The price of eight pounds of strawberry $15.92.

Step-by-step explanation:

To find the unit price, you divide $11.94 by 6 and you get $1.99. For eight pounds, multiply $1.99 with 8 and you get $15.92.

Answer:

$15.92

Step-by-step explanation:

First find the price of one pound. 11.94÷6=1.99 Once you find the price of 1 pound. You multiply the price of one pound 8 times. 1.99×8=15.92 Hope it helps!

Answer:

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