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Answer: The width of the border is 4 inches

Step-by-step explanation: The paper frame has its dimensions given as 20 inch by 24 inch. That means the area of the paper frame would be;

Area = L x W

Area = 20 x 24

Area = 480 square inches.

However, the photo itself covers an area of 320 square inches of this total surface area. If the photo has a uniform border, that means the photo and the paper frame are best described as congruent parallelograms (similar rectangles).

The ratio of the area of both paper frame and photo is given as;

Ratio = 480 : 320

Ratio = 3 : 2

When the length of the photo frame is given as 24, the length of the photo would be

3/2 = 24/L

L = (2 x 24)/3

L = 48/3

L = 16

Having calculated one side of the photo as 16 inches and the area has been given as 320 square inches, the other side of the photo is now derived as;

Area = L x W

320 = 16 x W

320/16 = W

20 = W

The dimensions of the paper frame is given as 24 inches and 20 inches, while those of the photo is given as 20 inches by 16 inches. The difference in both dimensions is 4 inches on either side (24 - 20 = 4, and 20 - 16 = 4)

Therefore the width of the border is 4 inches

Answer:

a = 2

Step-by-step explanation:

The sum of the exterior angles of a polygon = 360°

Sum the exterior angles and equate to 360, that is

66a + 56a + 31a + 27a = 360, that is

180a = 360 ( divide both sides by 180 )

a = 2

Answer:

a

Step-by-step explanation:

Answer:

= 5 × 1/2

Step-by-step explanation:

Five divided by 2

= 5 ÷ 2

= 5/2

Which is same as

= 5 × 1/2

I hope this was helpful, please rate as brainliest

Answer:

11 in

Step-by-step explanation:

Starting with the base, we know the side length is 5 inches. So with that in mind, we can do 5 x 5 to get the area of the base, 25. We also know the volume of the whole rectangular prism is 275, so we can do 275 ÷ 25. The quotient of that is 11.

We can check our answer by doing 11 x 25. This gives us 275, proving that it is correct.

Hope this helped! :)

Answer:

C. square root 189 in.

Step-by-step explanation:

Answer:

Look and see    >:/

Step-by-step explanation:

1) 13, 34              Rate of change: 3

2) 15, 1              Rate of change: -2

3) 17, 32              Rate of change: 0.75

4) 9, -1               Rate of change: -0.4

Answer:

.54

Step-by-step explanation:

The probability of a non-glove item is: (# of non-glove items)/(total # of items)

There are 27 non-glove items and 23 gloves. That makes the probability of choosing a non-glove item:

27/(23+27)=

27/50 =

.54

Answer:

Step-by-step explanation:

Answer:

$312,423.90

Step-by-step explanation:

Answer:

312,423.90

Step-by-step explanation:

Correct is b

Answer:

u = 5/4

Step-by-step explanation:

to evaluate for the value of u we would simply open the bracket and then evaluate for the value of u by collecting the like terms together.

solution

3=7(4 - 2u)-6u

3 = 28- 14u - 6u

collect the like terms

3 + 14u + 6u = 28

20u = 28 - 3

20u = 25

divide both sides by the coefficient of u which is 20

20u/20 = 25/20

u = 5/4

Answer:

[tex]u = 5/4[/tex]

Step-by-step explanation:

Step 1:  Distribute on the right side

[tex]3 = 7(4 - 2u) - 6u[/tex]

[tex]3 = (7 * 4) + (7 * -2u) - 6u[/tex]

[tex]3 = 28 - 14u - 6u[/tex]

Step 2:  Combine like terms

[tex]3 = 28 + (-14u - 6u)[/tex]

[tex]3 = 28 + -20u[/tex]

Step 3:  Subtract 28 from both sides

[tex]3 - 28 = 28 - 20u - 28[/tex]

[tex]-25 = -20u[/tex]

Step 4:  Divide both sides by -20

[tex]-25 / -20 = -20u / -20[/tex]

[tex]5/4 = u[/tex]

Answer:  [tex]u = 5/4[/tex]

Answer:

12 miles

Step-by-step explanation:

a) 8:14

b) 6:8

yeah its telling me I'm short of words

Answer:4

Step-by-step explanation:

1:6

Divide 6 by 24

you will get 4

Times your answer by 1 and then u will get your final answer

Answer:

40 miles

Step-by-step explanation:

We have to find how many miles he runs per day. So if we divide 3 days by 3 to get 1 day, that means he would run 2 miles per day. So if we are trying to figure out how many miles he runs in 20 days, we do 20*2 which equals 40. Hope this helps.

(please mark me brianliest)

Answer:

40 miles

Step-by-step explanation:

He runs 2 miles per day

6 miles over 3 days is 2 miles per day

6 divided by 3 is 2

Answer:5(1.5) + 1.5(15)

=7.5 +22.5

=30

Answer:

5(1/5)+ 1/5(15) = 1 + 3 =4

Answer:

(5B+C-2A)/8 = x

Step-by-step explanation:

2A - 5B + 4X = C - 8X

subtract 4x from both sides

2A - 5B + 4X-4x = C - 8X-4x

2A - 5B = C - 12X

subtract C from both sides

2A - 5B -C = C-C - 8X

2A - 5B -C = - 8X

divide both sides by -8

(2A - 5B -C)/-8 = - 8X/-8

(-2A+5B+C)/8 = x

(5B+C-2A)/8 = x

[tex]m(x)=-4x+11x^2+6x+14\\m(x)=11x^2+2x+14[/tex]

Equating the equation to 0 and solving it

[tex]11x^2+2x+14=0\\D=2^2-4*11*14=-612<0[/tex]

This equation has no solution, so we can't find rational zeros

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P.S. Hello from Russia

Answer:3

Step-by-step explanation:

Logarithm base 8 of 512 is 3.

Answer:3

Step-by-step explanation:

Answer:

(8.2) (8.2) + 4 (one-half (8.2) (11.1))

Step-by-step explanation:

Formula for calculating the surface area of a square based pyramid is expressed as:

Surface area = A + 1/2ps

A is the base area

P is the perimeter of base

S is the slant side.

Since the base of the pyramid is a square, then

Base Area A = L²

A = 8.2²

A = 67.24cm²

Perimeter of square = 4L = 4(8.2)

= 32.8cm

Slant Height = 11.1cm

On substituting the gotten value:

Surface area = 8.2(8.2) + 1/2 [4(8.2 (11.1)]

Based on the solution above, the expression below is correct.

S =(8.2) (8.2) + 4 (one-half (8.2) (11.1))

Answer:

its 3

Step-by-step explanation:

Simplifying

8 = 3x + -1

Reorder the terms:

8 = -1 + 3x

Solving

8 = -1 + 3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3x' to each side of the equation.

8 + -3x = -1 + 3x + -3x

Combine like terms: 3x + -3x = 0

8 + -3x = -1 + 0

8 + -3x = -1

Add '-8' to each side of the equation.

8 + -8 + -3x = -1 + -8

Combine like terms: 8 + -8 = 0

0 + -3x = -1 + -8

-3x = -1 + -8

Combine like terms: -1 + -8 = -9

-3x = -9

Divide each side by '-3'.

x = 3

Simplifying

x = 3 this took forever to type hope it helped

Answer:

-3

Step-by-step explanation:

[tex]2*10^{-3}[/tex], n= -3.

A fraction is a number which represents the part of a whole or collection of objects. It is in the from of a/b where a represents the numerator part and the b represents the denominator parts.

The width of a human hair is about 0.002 inches,

It can be written in fraction form as,

[tex]\frac{2}{1000}[/tex]⇒ [tex]\frac{2}{10^{3} }[/tex]

By writing [tex]10^{3}[/tex] in reciprocal from we get,

[tex]2*10^{-3}[/tex], then n= -3.

Hence, [tex]2*10^{-3}[/tex], n= -3.

Learn more about fractions here:

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Answer:

The correct answer is infinitely many

Step-by-step explanation:

4x-10/2=2x-5

after that you will multiply the 2 times 2x and 2 times -5

so now it becomes

4x-10=4x-10 that's why it's infinitely many

Answer:

D) infinitely many solutions

Step-by-step explanation:

The equation yields a statement that is always true, −10 = −10.[

So, the equation has infinitely many solutions.

4x − 10 2 = 2x − 5 4x − 10 = 4x − 10 −10 = −10

10^38

Step-by-step explanation:

Given that,

10^32 x 10^6

Here the base is same (10) and the powers are 32 and 6.

These 2 bases are in multiplication form so the powers can be added up.

10^32 x 10^6 = 10^(32+6)

= 10^38

Step-by-step explanation:

First we will multiply 24 by 1 = 24 we have to find the factors of 24 that may add or subtract = 2

So

r2 - 6t + 4t - 24

r2 - 6t + 4 ( t - 6)

So the factors are ( r2 - 6t + 4) and (t - 6)

Answer:

This is how i solve it:

Pythagorean theorem:

a squared + b squared = c squared

12 squared + 16 squared = c squared

144 + 256 = 400

square root of 400 is 20

final answer: 20

Answer:

the hhh

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

(x-4) x (x-10)

Answer:

B

Step-by-step explanation:

Given

x² - 14x + 40

Consider the factors of the constant term (+ 40) which sum to give the coefficient of the x- term (- 14)

The factors are - 10 and - 4, since

- 10 × - 4 = + 40 and - 10 - 4 = - 14, thus

x² - 14x + 40 = (x - 10)(x - 4) → B

The surface area of the region he will paint is 900 sq.ft.

Step-by-step explanation:

Cubical room measures - 15 ft

Chaz want  to paint only the walls of room

Surface of painting region means Lateral surface area (excluding top and bottom)

Lateral surface area of cube = [tex]4a^2[/tex]      

 ⇒ 4 * 15 *15

 ⇒  900 sq.ft

  The surface area of the region he will paint is 900 sq.ft.

Answer:

5r

Step-by-step explanation:

12−

1

5r

=

60r−1

5r

To solve the equation 12 - 1/5r = 2r + 1 for r, isolate the variable r on one side of the equation. The equation simplifies to 5 = 1, which is not possible. Therefore, there is no solution for r in this equation.

To solve for r in the equation 12 - 1/5r = 2r + 1, we will isolate the variable r on one side of the equation.

Step 1: Combine like terms by adding 1/5r to both sides of the equation:

12 - 1/5r + 1/5r = 2r + 1 + 1/5r

12 = 2r + 1 + 1/5r

Step 2: Combine like terms by subtracting 1 from both sides of the equation:

12 - 1 = 2r + 1 - 1 + 1/5r

11 = 2r + 1/5r

Step 3: Combine like terms by finding a common denominator for the terms involving r:

11 = (10r + r)/5r

Step 4: Simplify the equation:

11 = (11r)/5r

Step 5: Multiply both sides of the equation by 5r to eliminate the denominator:

11 * 5r = 11r

55r = 11r

Step 6: Divide both sides of the equation by 11 to solve for r:

55r/11 = 11r/11

5r = r

Step 7: Divide both sides of the equation by r:

5r/r = r/r

5 = 1

No solution exists for this equation.

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