Mrs. Gottschalk had 60 feet of ribbon. If each of the 20 students in her class gets an equal length of ribbon, how long will each piece be in inches?

Check the picture below.

[tex]\textit{area of a circular ring}\\\\ A=\pi (R^2-r^2) ~~ \begin{cases} R=\stackrel{larger}{radius}\\ r=\stackrel{smaller}{radius}\\[-0.5em] \hrulefill\\ R=10.5\\ r=7 \end{cases}\implies \begin{array}{llll} A=\pi (10.5^2 - 7^2)\implies A=61.25\pi \\\\\\ A\approx 192.42~m^2 \end{array}[/tex]

Step-by-step explanation:

23+42=65

0-24=-24

0-3/16=-3/16= -1875

03/16=0.1875

The expression that is equivalent to the expression, [tex](\frac{4m^5n^2}{m^2n} )^3[/tex] is the expression, [tex]64m^9n^3[/tex].

If two expressions are equivalent to each other, it means the value of each of them are the same when simplified or evaluated in their simplest form.

Given the expression,

[tex](\frac{4m^5n^2}{m^2n} )^3[/tex]

Evaluate the expression in its simplest form

[tex](\frac{4m^5n^2}{m^2n} )^3 = (4m^3n^1)^3[/tex]

Multiply the exponents in the bracket by the one outside, then find the cube of 4.

[tex]64m^9n^3[/tex]

Therefore, [tex](\frac{4m^5n^2}{m^2n} )^3[/tex] is equivalent to [tex]64m^9n^3[/tex].

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Answer:

35 minutes

Step-by-step explanation:

this requires us to find out how long it took and because both times given to figure this out are within the same hour it is easy to figure out in this case, 50 - 15 = 35. This is not as simple with all problems like this but because of the times given in this problem its much easier.

Answer:

3 - 2n

Explanation:

Difference means we have to subtract integers.

Let the number be n. Twice of this number: 2n

Difference of 3 and twice this number: 3 - 2n

Answer:

The amplitude is the maximum displacement/highest peek

Which is in your case = 2

Probability = option(s) that we want / total number of possibilities

Options that we want = cash or credit card  = 50 + 4 = 54

Total number of possibilities = cash, debit card, credit card = 50 + 2 + 4 = 56

54 / 56 = 0.96

Answer: 0.96

Hope this helps!

Answer:

22%

Step-by-step explanation:

so 500-390 = 110

110 students said their favorite color was blue.

110/500 = ?/100

110 times 100 = 11000

11000/500 = 22

give brainliest, please!

hope this helps :)

Answer:

Reflection across the x axis

Step-by-step explanation:

When the triangle reflects across the x axis it will directly map over the other triangle and will appear to be congruent

Answer:

A reflection over the x - axis.

Step-by-step explanation:

The new position of a point, a line, a line segment, or a figure after a transformation is called its image. line y=x. A reflection is a type of transformation known as a flip. The figure will not change size or shape. Mathematical reflections are shown using lines or figures on a coordinate plane. The reason these two triangles are congruent is they reflect each other meaning that they are complete opposites reflecting. When mapped, they are completely reflecting.

Answer:

126

Step-by-step explanation:

Answer:

minimum of 5100 mm^2

Step-by-step explanation:

Surface area   2 * ( 70 * 30 + 70 * 4.5 + 30* 4.5) = 5100 mm^2

Answer:

His score decreased by 9 percent this time.

Step-by-step explanation:

From his first history exam he had a score of 90 percent. The difference between his first score and present score is given by

90 - 81 = 9

Step-by-step explanation:

there is no image here. and we don't know, if B is smaller or lager than A.

anyway, the volume of a sphere is

4/3 × pi × r³ = 4/3 × pi × r×r×r

that means the scale factor applying to r (radius) has to be multiplied in 3 times (with every r). so, to compare the volumes, the volume scale factor is cubed the linear scale factor.

44³ = 85184

if B is smaller, then its volume is 50/85184 m³

if B is larger, then its volume is 50×85184 m³

since this a such a big number, you made possibly a typo with the scale factor.

The volume of sphere B, the image of sphere A after dilation by a scale

factor of 44, is approximately 1,223,762.42 cubic meters.

The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.

Since, The volume of a sphere is given by the formula:

V = (4/3) pi r

where V is the volume, pi is the constant 3.14.., and r is the radius of the sphere.

Since, sphere A has a volume of 50 cubic meters, we can use this formula to solve for its radius:

50 = (4/3) pi r

r = (3/4)  (50 / pi)

r = (3/(4pi) 50)^(1/3)

r = 2.67 meters

Note that we know,

The radius of sphere A, we can use the scale factor of 44 to find the radius of sphere B:

rₐ = 44  rₓ

rₐ = 44 × 2.67

rₐ = 117.48 meters

Finally, we can use the volume formula again to find the volume of sphere B:

V(B) = (4/3) pi rₓ

V (B) = (4/3) pi (117.48)

V (B) = 1,223,762.42 cubic meters

Therefore, the volume of sphere B, the image of sphere A after dilation by a scale factor of 44, is approximately 1,223,762.42 cubic meters.

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Answer:

B :a

Step-by-step explanation:

Step-by-step explanation:

180 ° - 146°=34°

Where by isosceles triangle is 180

Answer:

p = 12

Step-by-step explanation:

13 + p = 25 ( subtract 13 from both sides )

p = 12

Answer:

the value of P is 12

Step-by-step explanation:

if 13+P=25 then P must be 12

subtract 13 from both sides

you're left with P=12

Using the triangle proportionality theorem, the length of segment MF in triangle LMN is: 48 cm.

The triangle proportionality theorem states that when a segment intercepts two sides of a triangle and it is parallel to a third side, then it divides the side proportionally.

The diagram of triangle LMN is shown below. Using the triangle proportionality theorem, we have:

MF/MN = ME/ML

Plug in the values

MF/124 = (31 - 19)/31

MF/124 = 12/31

MF = (12 × 124)/31

MF = 48 cm

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Answer:

Option A, rational numbers

Step-by-step explanation:

Step 1:  Determine which option is correct

Option B and D are automatically ruled out because only one of them is a whole number and the other one is a decimal.  Option C doesn't work also because natural numbers are all the whole numbers that are greater than 1.  The only option that makes sense is option A which includes whole numbers and decimals.

Answer:  Option A, rational numbers

Answer:

[tex]x=5,\frac{-9+\sqrt{255}i }{4} ,\frac{-9-\sqrt{255}i }{4}[/tex]

Step-by-step explanation:

1) Move all terms to one side.

[tex]2x^{3} -x^{2} -3x-210=0[/tex]

2) Factor [tex]2{x}^{3}-{x}^{2}-3x-210[/tex] using Polynomial Division.

1 -  Factor the following.

[tex]2x^{3} -x^{2} -3x-210[/tex]

2 -  First, find all factors of the constant term 210.

[tex]1,2,3,4,5,6,7,10,14,15,21,30,35,42,70,105,210[/tex]

3) Try each factor above using the Remainder Theorem.

Substitute 1 into x. Since the result is not 0, x-1 is not a factor..

[tex]2*1^{3} -1^{2} -3*1-210=-212[/tex]

Substitute -1 into x. Since the result is not 0, x+1 is not a factor..

[tex]2(-1)^{3} -(-1)^{2} -3*-1-210=-210[/tex]

Substitute 2 into x. Since the result is not 0, x-2 is not a factor..

[tex]2*2^{3} -2^{2} -3*2-210=-204[/tex]

Substitute -2 into x. Since the result is not 0, x+2 is not a factor..

[tex]2{(-2)}^{3}-{(-2)}^{2}-3\times -2-210 = -224[/tex]

Substitute 3 into x. Since the result is not 0, x-3 is not a factor..

[tex]2\times {3}^{3}-{3}^{2}-3\times 3-210 = -174[/tex]

Substitute -3 into x. Since the result is not 0, x+3 is not a factor..

[tex]2{(-3)}^{3}-{(-3)}^{2}-3\times -3-210 = -264[/tex]

Substitute 5 into x. Since the result is 0, x-5 is a factor..

[tex]2\times {5}^{3}-{5}^{2}-3\times 5-210 =0[/tex]

------------------------------------------------------------------------------------------

⇒ [tex]x-5[/tex]

4)  Polynomial Division: Divide [tex]2{x}^{3}-{x}^{2}-3x-210[/tex]  by [tex]x-5[/tex].

                                               [tex]2x^{2}[/tex]                       [tex]9x[/tex]                      [tex]42[/tex]

                                      -------------------------------------------------------------------------

[tex]x-5[/tex]                               |    [tex]2x^{3}[/tex]                          [tex]-x^{2}[/tex]                     [tex]-3x[/tex]     [tex]-210[/tex]

                                           [tex]2x^{3}[/tex]                             [tex]-10x^{2}[/tex]

                                        -----------------------------------------------------------------------

                                                                             [tex]9x^{2}[/tex]                [tex]-3x[/tex]       [tex]-210[/tex]

                                     --------------------------------------------------------------------------

                                                                          [tex]42x[/tex]                              [tex]-210[/tex]

                                                                         [tex]42x[/tex]                               [tex]-210[/tex]

                                      -------------------------------------------------------------------------

5)  Rewrite the expression using the above.

[tex]2x^2+9x+42[/tex]

[tex](2x^2+9x+42)(x-5)=0[/tex]

3) Solve for [tex]x.[/tex]

[tex]x=5[/tex]

4)  Use the Quadratic Formula.

1 - In general, given [tex]a{x}^{2}+bx+c=0[/tex] , there exists two solutions where:

[tex]x=\frac{-b+\sqrt{b^{2} -4ac} }{2a} ,\frac{-b-\sqrt{b^2-4ac} }{2a}[/tex]

2 -  In this case, [tex]a=2,b=9[/tex] and [tex]c = 42.[/tex]

[tex]x=\frac{-9+\sqrt{9^2*-4*2*42} }{2*2} ,\frac{-9-\sqrt{9^2-4*2*42} }{2*2}[/tex]

3 - Simplify.

[tex]x=\frac{-9+\sqrt{255}i }{4} ,\frac{-9-\sqrt{255}i }{4}[/tex]

5) Collect all solutions from the previous steps.

[tex]x=5,\frac{-9+\sqrt{255}i }{4} ,\frac{-9-\sqrt{255}i }{4}[/tex]

Answer:

470 cm³

Step-by-step explanation:

Volume of rectangular prism = width × length × height

⇒ Volume of whole rectangular prism = 9 cm × 10 cm × 8 cm

                                                                = 720 cm³

Side lengths of the missing piece:

⇒ Volume of the missing piece = 5 cm × 10 cm × 5 cm

                                                    = 250 cm³

⇒ Volume of irregular figure = 720 cm³ - 250 cm³

                                                = 470 cm³

Answer:

2x^3 + 5x^2 - 18x - 45 m

V = lwh

V = (x + 3)(x - 3)(2x + 5)

V = ((x)(x) + (x)(-3) + (3)(x) + (3)(-3))(2x + 5)

V = (x^2 - 3x + 3x - 9)(2x + 5)

V = (x^2 - 9)(2x + 5)

V = (x^2)(2x) + (x^2)(5) + (-9)(2x) + (-9)(5)

V = 2x^3 + 5x^2 - 18x - 45

Answer:

i = 17 Years old
ii = 25 years

Step-by-step explanation:

i = 12 + 5 =17

ii = his son was born when he was 9, hes 12 now, so his sons 3. In 5 years time his sons 8 and hes 17, 8+17= 25

Answer:

-13/3

and the last 2

Step-by-step explanation:

The rational numbers include all the integers, plus all fractions, or terminating decimals and repeating decimals. Every rational number can be written as a fraction a/b, where a and b are integers. For example, 3 can be written as 3/1, -0.175 can be written as -7/40, and 1 1/6 can be written as 7/6.

Answer:

d = 2

Step-by-step explanation:

3(d + 2) = 12 ( divide both sides by 3 )

d + 2 = 4 ( subtract 2 from both sides )

d = 2

Answer:

d=2

Step-by-step explanation:

3(d+2)=12

divide both side by 3

d+2 =4

substract 2 from both side

d=2

Answer: 32%

Step-by-step explanation:

100 / 25= 4

4 x 8 = 32%

Since the figure is dilated by a factor of 4, the coordinates of point g of the pre-image is (-2, 1)

The coordinates of the image are given as:

The dilation rule is given as:

(x,y) -> 4(x,y)

So, we have:

(-8,4) = 4 * g

Divide both sides by 4

g = (-2,1)

Hence, the coordinates of point g of the pre-image is (-2, 1)

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Answer:

A

Step-by-step explanation:

edge

The percentage of simulations where the average for group A is at least 1.6 lower than the average for group B is 48%.

The following are the data points from the histogram where the average of group A is at least 1.6 less than average of group B.

At least -1.6 lower implies -1.6, -1.5, -1.4, -1.3, -1.2, -1.1, 0, 1, etc.

Outcome of simulations = 1 + 8 + 16 + 23 = 48

Percentage of simulation = outcome/total x 100%

Percentage of simulation =  (48 x 100%)/100

Percentage of simulation =  48%

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