What is the area of the frame in square units around the picture? 12 8 45 6s Enter the expression in the box. square units​

Answer:

(3a + 8b) (3a - 8b)

Step-by-step explanation:

The difference in two perfect "squares" in the scenario would be the (8b) and (-8b).

The 3a would stay consistent through out the whole.

Answer:

Step-by-step explanation:

Since the squares have areas of 32u^2. The side lengths are

[tex]s=\sqrt{32}\\ \\ \text{By the Pythagorean Theorem}\\ \\ x^2=s^2+s^2\\ \\ x^2=32+32\\ \\ x^2=64\\ \\ x=\sqrt{64}\\ \\ x=8[/tex]

Answer: -60a^6

Step-by-step explanation:

multiply 10 and 6. combine the exponents

Answer:

[tex] - 60a ^{6} [/tex]

Step-by-step explanation:

1) Take out the constants.

[tex](10 \times - 6) {a}^{2} {a}^{4} [/tex]

2) Simplify 10 × -6 to -60.

[tex] { - 60a}^{2} {a}^{4} [/tex]

3) Use product rule.

[tex] - 60 {a}^{2 + 4} [/tex]

4) Simplify 2 + 4 to 6.

[tex] - 60 {a}^{6} [/tex]

Therefor, the answer is -60a⁶.

Answer:

Step-by-step explanation:

x^2=13^2-12^2

x^2=25

x=5

(sin90)/13=(sin(90-A))/5

sin(90-A)=5/13

90-A=arcsin(5/13)

A=90-arcsin(5/13)

tan(90-arcsin(5/13))=5/y

y=5/(tan(90-arcsin(5/13))

y=25/12

z^2=(25/12)^2+5^2

z=65/12

(x,y,z)=(5, 25/12, 65/12)

Answer:

9y+19

Step-by-step explanation:

7y+9+2y+10

Combine like terms

7y+2y    +9+10

9y            +19

write the equation.

3/4n=9

now solve.

3/4n=9

/3/4  /3/4

n=12

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hope it helps

Answer:

x = 12

Step-by-step explanation:

Answer:20

Step-by-step explanation:

Answer:

To identify which integer does not belong with the rest, we must first evaluate each.

Step-by-step explanation:

Based on these results, you may determine the number that does not belong with the other three, whether than is through means of irrationability, value, absolte value, or whatever other means you decide.

Answer:

1. a²⁴

2. b¹⁵ / c²⁰

3. 8x³ / 27y⁶

4. 16m¹⁰n²²

Step-by-step explanation:

Hope This Helps :)

Plz Mark Brainliest!!

Answer:

it's the last option

Step-by-step explanation:

tr

Answer:

TR

Step-by-step explanation:

The diameter is a chord that passes through the circles centre.

The only chord to do this is TR

Answer:

The answer is 24 minutes

Step-by-step explanation:

It takes 24 minutes for Georgia to clean the espresso machine by herself. Therefore, option D is the correct answer.

The equation of the given situation is [tex]\frac{1}{x}+\frac{1}{x-12}=\frac{1}{8}[/tex].

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The given equation [tex]\frac{1}{x}+\frac{1}{x-12}=\frac{1}{8}[/tex] can be solved as follows

LCM of denominators x and x-12 is x(x-12)=x²-12x

Now, [tex]\frac{x-12+x}{x^2-12x} = \frac{1}{8}[/tex]

8(2x-12)=x²-12x

⇒ 16x-96=x²-12x

⇒ x²-12x-16x+96=0

⇒ x²-28x+96=0

Using splitting middle term method

x²-24x-4x+96=0

⇒ x(x-24)-4(x-24)=0

⇒ (x-24)(x-4)=0

⇒ x=24 or 4

It takes 24 minutes for Georgia to clean the espresso machine by herself. Therefore, option D is the correct answer.

To learn more about an equation visit:

https://brainly.com/question/14686792.

#SPJ2

Answer:

$600

Step-by-step explanation:

Let x be the total amount divided

Karen gets (2/7) x

Natasha gets  (5/7) x

(5/7) x  = (2/7) x + 210

Multiply both sides by 7

5x = 2x + 1470

3x = 1470

x = 490

Natasha gets (5/7) (490) = 350

Karen gets (2/7)(490) = 140

The difference in ration is 5 - 3 = 2. So divide 150 by 2 to get the amount for each part of the ratio which is 75. the total ration is 3 + 5 = 8. So to get the total original sum of money, multiply 75 and 8 which is $600. for each person just multiply 75 with their respective ratios. For A: 75 X 3 = $225. For B: 75 x 5= $375. To check that it is correct add 225 and 375, and you should get 600.

according to my calculations, the starting amount will be 600

Answer:

$280

Step-by-step explanation:

Ratio = 2 : 5

Karen's Share = 2x

Natasha's share = 5x

Natasha received $120 more than karen.

5x = 2x + 120

5x - 2x = 120

      3x = 120

        x = 120/3

x = 40

Karen's share = 2*40 = $ 80

Natasha's share = 5*40 = $ 200

Sum of money = 80 +200 = $ 280

Answer:

Step-by-step explanation:

s + 40 + 60 = 180 {angle sum property}

s + 100        = 180

               s = 180 - 100

               s = 80

This figure is a cyclic quadrilateral. sum of opposite angles are 180

s + v + 60 + 10 = 180

80 + v + 60 + 10 = 180

             v + 150  = 180

                       v = 180 - 150

                      v = 30

y+ 10 + v  = 180 {angle sum property}

    y + 10 + 30 = 180

             y + 40 = 180

                   y = 180 - 40

                  y = 140

9514 1404 393

Answer:

  r = 80°, s = 80°, t = 10°, u = 60°, v = 30°

Step-by-step explanation:

Working clockwise from the left side, we can name the points on the circle as A, B, C, D. The given inscribed angles are half the measure of the arcs they intercept, so we have ...

  arc BD = 2×40° = 80°

  arc DA = 2×60° = 120°

  arc CD = 2×10° = 20°

From these measures, we can deduce the measures of the individual arcs as ...

  arc AB = 360° -BD -DA = 360° -80° -120° = 160°

  arc BC = BD -CD = 80° -20° = 60°

Then the angle measures of interest are ...

  r = AB/2 = 80°

  s = AB/2 = 80°

  t = CD/2 = 10°

  u = DA/2 = 60°

  v = BC/2 = 30°

Answer:

Step-by-step explanation:

Answer: 15

Step-by-step explanation:

From the question, we can infer from the information given that:

5 eclaires boxes = 1 free eclaires box.

Therefore, to get the number of eclaires boxes that the kids will get if they bring 77 eclaires boxes, we have to divide 77 by 5 and this will be:

= 77 / 5

= 15.4

= 15

The group of kids will receive 15 free boxes

Answer:

I don't know.  I don't see any equal sign

Step-by-step explanation:

(3x + 10°   =  3x + 1

(4x + 2)°   =  1

77°           =  1

34            = 34

Answer:

5600

Step-by-step explanation:

Answer:

9 ppl

Step-by-step explanation:

hope this helped!!

Answer:

??????????????????????????????????????????

Step-by-step explanation:

Answer:

(50 - 30) = (20 - 5)

Step-by-step explanation:

Hope this helps:)

Answer:

61

Step-by-step explanation:

80+39=119

180-119=61

Answer:

59.5

Step-by-step explanation:

(7x7) + (7x3)/2

Answer:

$180

Step-by-step explanation:

To find the new cost, multiply the original cost by 1.2

150(1.2)

= 180

So, the new cost of the bicycle is $180

Answer:

180

Step-by-step explanation:

Answer:

x = 1 or x = −6

Step-by-step explanation:

Step 1: Subtract 18 from both sides.

3x2+15x−18=18−18

3x2+15x−18=0

Step 2: Factor left side of equation.

3(x−1)(x+6)=0

Step 3: Set factors equal to 0.

x−1=0 or x+6=0

x=1 or x=−6

Answer:

D!

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

-2p^2 - 35pr - 8r^2

Answer:

the radius of the circle is 5 and you find the raidus of the circle by using the formula A= (pi)r squared. then you'd divide that answer by two. :)

Step-by-step explanation:

Answer:

17 nickels

5 quarters

Step-by-step explanation:

Let n = no. of nickels

22 - n = no. of quarters

Each quarter is 25 cents and each nickel is 5 cents

5n = total amount of money in cents for the nickels

25(22 - n) = total amount of money in cents for the quarters

Since the total amount of money is $2.10 or 210 cents we have the equation

5n + 25(22 - n) = 210

5n + 550 - 25n = 210

-20n + 550 = 210

-20n = -340

n = 17 nickels

22 - n = 22 - 17 = 5 quarters

Now, you don't need to do all that I did.  I explained in detail what is going on in this problem.  All that you would need to do is write this:

let n = no. of nickels

22 - n = no. of quarters      and then write the equation and solve

5n + 25(22 - n) = 210

??                                          OK?