Re-write the expression in the rational exponent form.

Answer:

6

Step-by-step explanation:

Answer:

[tex]Area = 21.5ft^2[/tex]

Step-by-step explanation:

See attachment

Given

Square:

[tex]Length = 10ft[/tex]

Circle:

[tex]Diameter = 10ft[/tex]

[tex]\pi = 3.14[/tex]

Required: Calculate the area of the shaded region

First, calculate the area of the square:

[tex]A_1 = Length^2[/tex]

[tex]A_1 = (10ft)^2[/tex]

[tex]A_1 = 100ft^2[/tex]

Next, the area of the circle.

[tex]A_2 =\pi * \frac{d^2}{4}[/tex]

[tex]A_2 =3.14 * \frac{10^2}{4}[/tex]

[tex]A_2 =3.14 * \frac{100}{4}[/tex]

[tex]A_2 =3.14 * 25[/tex]

[tex]A_2 =78.5ft^2[/tex]

The shaded region has the following area

[tex]Area = A_1 - A_2[/tex]

i.e. the difference between the area of the square and  the area of the circle

[tex]Area = 100ft^2 - 78.5ft^2[/tex]

[tex]Area = 21.5ft^2[/tex]

Answer:i think 6x+3 is 9x and 2x-5 is 3x

Step-by-step explanation:

Answer:

156 in squared

Step-by-step explanation:

So the formulas will be stated below

Parallelogram Area= 1/2h(b1+b2)

Square Area= Bh

So first do

(4)(12+6)

(4)(18)

No need to half it bc there's the same shape at the bottom

72+18+30+36

6(3)

3x5(2)

12(3)

Answer:

y= -2x +2

Step-by-step explanation:

The equation of a line can be written in the form of y= mx +c, where m is the gradient and c is the y-intercept. This form is known as the slope-intercept form.

To find the value of m, use the gradient formula below:

[tex]\boxed{gradient = \frac{y1 - y2}{x1 - x2} }[/tex]

[tex]m = \frac{6 - ( - 4)}{ - 2 - 3}[/tex]

[tex]m = \frac{6 + 4}{ - 5} [/tex]

[tex]m = \frac{10}{ - 5} [/tex]

m= -2

Substitute m= -2 into the equation:

y= -2x +c

To find the value of c, substitute any pair of coordinates that the line passes through into the equation. Here, I am going to substitute the coordinates (3, -4).

y= -2x +c

When x= 3, y= -4,

-4= -2(3) +c

-4= -6 +c

c= -4 +6

c= 2

Thus, the equation of the line is y= -2x +2.

Answer: 75.108

Step-by-step explanation:

1 gallon is 8.3454 lb so multiply by 9 to get the answer

8.345*9= 75.105 lbs

So there are 75 lbs in 9 gallons

Answer:

Step-by-step explanation:

Answer: x= 5.3

Step-by-step explanation:

Looking for side opposite and adjacent so we use tangent or tan. The equation is Tan(angle) = opposite/adjacent so input the numbers... Tan24=x/12 and to solve for x(missing side) multiply both sides by 12 to cancel out and get 5.3427 rounded is 5.3

Answer:

1

Step-by-step explanation:

rise/run = 1/1 = 1

Answer:

BC ≈ 5.44 m

Step-by-step explanation:

Using the cosine ratio in the right triangle

cosθ = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{BC}{AC}[/tex] , that is

cos27° = [tex]\frac{BC}{6.1}[/tex] ( multiply both sides by 6.1 )

6.1 × cos27° = BC , then

BC ≈ 5.44 m ( to 3 significant figures )

Answer:

He needs to sell 200 ribbons to break even.

Step-by-step explanation:

The break even point is where the expenses are equal to the earnings, so you can write an expression that indicates that Lucas' expenses are equal to his earnings:

46+0.02x=0.25x

Now, you can solve for x to find the answer:

46=0.25x-0.02x

46=0.23x

x=46/0.23

x=200

According to this, the answer is that he needs to sell 200 ribbons to break even.

Answer:

Step-by-step explanation:

5x  + y = 11 -------------------(I)

3x - y = 9 -----------------(II)

Add equation (I) & (II)

   5x + y = 11

   3x - y = 9        {add and y will be eliminated and we'll get the value of x}

  8x       = 20

          x = 20/8

         x = 2.5

Plugin x = 2.5 in equation (I)

5*2.5 + y = 11

 12.5  + y = 11

            y = 11 - 12.5

            y = -1.5

After solving the equations simultaneously we get the value [tex]x=\frac{5}{2}[/tex] and [tex]y=\frac{-3}{2}[/tex].

An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign .

We have,

[tex]5x + y = 11[/tex]   [tex].......... (i)[/tex]

[tex]3x - y = 9[/tex]   [tex]...........(ii)[/tex]

To solve we will multiply equation [tex](i)[/tex] by [tex]3[/tex] and equation [tex](ii)[/tex] by [tex]5[/tex],

[tex]15x + 3y = 33[/tex]   [tex]..........(iii)[/tex]

[tex]15x -5y = 45[/tex]   [tex]..........(iv)[/tex]

Now, adding both equations [tex](iii)[/tex] and [tex](iv)[/tex] ,

We get,

[tex]8y=-12[/tex]

[tex]y=-\frac{3}{2} =1.5[/tex]

Now putting value of [tex]y=-\frac{3}{2} =1.5[/tex] in equation [tex](i)[/tex] ,

[tex]5x+(\frac{-3}{2} )=11[/tex]

[tex]x=\frac{5}{2} =2.5[/tex]

So, using the elimination method we find out the value [tex]x=\frac{5}{2}[/tex] and [tex]y=\frac{-3}{2}[/tex], which was find out simultaneously.

Hence, we can say that after solving the equations simultaneously we get the value [tex]x=\frac{5}{2}[/tex] and [tex]y=\frac{-3}{2}[/tex].

To know more about equations click here

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Answer:9x+16

Step-by-step explanation:

Answer:

The second answer from the top

Step-by-step explanation:

Answer:

I cant really help with the diagram but the equation is

$44.95 divided by 5 = $8.99

Answer: The equation is 5c = 44.95

Step-by-step explanation:

The equation is 5c = 44.95, when c is the price of each calculator.

Answer:

D

A point has a dimension of 0.

Hope this helped!

Answer:

h

Step-by-step explanation

12 inches in 1 foot.

2.54 cm in 1 inch.

5x 12=60 inches

60 +4=64inches.

64 x 2.54=162.56 cm

Answer:

H. 162.56 cm

Step-by-step explanation:

12 inches in 1 foot.

2.54 cm in 1 inch.

5x 12=60 inches

60 +4=64inches.

64 x 2.54=162.56 cm

Answer:

If all the points do not connect then you do not have a parallelogram. If all of the sides are not of equal length, them being parallel than this is not a parallelogram. Opposite edges and angles have to be congruent for it to be a parallelogram.

Step-by-step explanation:

Answer: 15

Step-by-step explanation: have a great day!

Answer:

c

Step-by-step explanation:

Answer:

D.) or (2, -1)

Step-by-step explanation:

Answer:

Send a pic of the problem.

Step-by-step explanation:

Answer: BC=3

Step-by-step explanation: Set the two side lengths equal to each other and solve.

Answer:

BC = 20 units.

Step-by-step explanation:

This triangle has 3 equal sides.

so: -y + 23 = 6y + 2

23 - 2 = 6y + y

21 = 7y

y = 3.

So each side is 6(3) + 2 = 20 units long.

Answer: Greetings my dude. The volume of the triangular prism is around 1,138 Centimeters Cubed.

Hope this helps!

Answer:

volume = length * breadth * height

= 16*7*8

=896

Answer : $36

Explanation:

To find the sale price we can set up a proportion. 25/100 = x/48. We keep the 100 and 48 both on the bottom of the fraction since they represent the "whole". x represents the discount off the full price of the dress. To solve this proportion, we cross multiply, yielding 48 * 25 = 100x. Alternatively, if you notice that 25/100 simplifies to 1/4, we can use 1/4 in our proportion instead of 25/100, thus, 1/4 = x/48. Then, cross multiplying, we get 48 = 4x, so x = 12. Then we subtract this discount from the original price yielding 48 – 12 = 36; thus, she paid $36 for the dress.

25% = 25/100

25100=x48

14=x48

(1) * (48) = (4) * (x)

48 = 4x

(48)/4 = (4x)/4

12 = x

The discount is $12.

$48 – $12 = $36

Answer:

Jenna has 24 Dimes and 6 Quarters

Step-by-step explanation:

Hopefully this helps

Answer:

176

Step-by-step explanation:

Remember to follow the order of operation, PEMDAS.

PEMDAS stands for:

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

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First, solve the multiplication:

24 x 7 = 168

Next, add straight across:

168 + 2 + 6 = 170 + 6 = 176

176 is your answer.

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