Which equation demonstrates the distributive property? A) 2 (5 + 7) = 2 (7 + 5) B) 2 (5 + 7) = 2 × 5 + 2 × 7 C) (2 × 5) × 7 = 2 × (5 × 7) D) 7 × (2 × 5) = 7 × (5 × 2)

Answers and Step-by-step explanations:

9-18.

a) All the angles of a triangle add up to 180, by definition. So, we can write the expression: 30 + 115 + x = 180.

Then, we can just solve for x by subtracting 30 and 115 from both sides:

x = 180 - 115 - 30 = 35 degrees

b) Again all three angles should add up to 180, so:

x + x + x = 180  ⇒  3x = 180  ⇒  x = 180/3 = 60 degrees

9-19.

a) These angles add up to 180:

2x + x + 30 = 180  ⇒  3x + 30 = 180  ⇒  3x = 150  ⇒  x = 50

2x = 50 * 2 = 100

The missing angles are 100 degrees and 50 degrees.

b) Again, these add up to 180:

x + 10 + x + 90 = 180  ⇒  2x + 100 = 180  ⇒  2x = 80  ⇒  x = 40

x + 10 = 40 + 10 = 50

The missing angles are 50 degrees and 40 degrees.

Hope this helps!

Answer:

9-18

a)

x = 180 - (115 + 30) = 180 - 145 = 35°

b)

3x = 180 => x = 180 : 3 => x = 60°

9-19

a)

180 = x + 2x + 30

180 - 30 = 3x

3x = 150

x = 50°

b)

180 = x + 10 + x + 90

180 - 10 - 90 = 2x

2x = 80

x = 40°

Answer:

43.96 : 56.52

Step-by-step explanation:

Circumference  = 2 * pi * Radius

Circumference = Diameter * pi

Circle R's Circumference = 43.96 (7 * 2 * 3.14)

Circle S's Circumference = 56.52 (9 * 2 * 3.14)

The ratio of the circumference of circle r to s = 43.96:56.52

Answer:

The answer to your question is   (34 + 10i)

Step-by-step explanation:

Data

            (21 + 2i) + (13 + 8i) =

To solve this operation, just sum up the whole numbers and get a result then, sum up the imaginary numbers and get another result. Finally, write the result.

-Whole numbers            21 + 13 = 34

-Imaginary numbers       2i + 8i = 10i

Result                               (34 + 10i)

Answer:

34 +10i

Step-by-step explanation:

( 21 + 2i) + (13 + 8i) =

Add the real numbers

21+13 = 34

Add the imaginary numbers

2i+8i = 10i

The complex number is the real plus the imaginary number

34 +10i

Answer:

8.4 cm

Step-by-step explanation:

Hope this helps!

Answer:

8.4 cm²

Step-by-step explanation:

Area of a parallelogram= base × height

= 1.2× 7 cm² = 8.4cm²

Final answer:

Cecil spent 20% of his monthly allowance on the video game, calculated by dividing the $12 spent on the game by his $60 monthly allowance and then multiplying by 100 to get the percentage.

Explanation:

To find out what percent of his monthly allowance Cecil spent on the video game, we first need to calculate his total monthly allowance. Cecil receives $15 per week for completing chores. There are typically 4 weeks in a month, so Cecil's monthly allowance is 15 dollars/week * 4 weeks/month = $60 per month.

Next, we will calculate the percentage of his allowance that was spent on the video game. Cecil spent $12 on a video game. To find this percentage, we use the formula:

Percentage spent = (Amount spent / Total allowance) * 100

Percentage spent = ($12 / $60) * 100

Percentage spent = 0.2 * 100

Percentage spent = 20%.

Therefore, Cecil spent 20% of his monthly allowance on the video game.

Answer:75 cents

Step-by-step explanation:

one quarter is equal to 25 cents and since you have 3 of them you multiple 25 times 3 and get 75.

Fred has 3 quarters, and since each quarter is worth 25 cents, he has a total of 75 cents from washing cars.

Fred has saved 3 quarters from washing cars, and we need to determine how many cents he has. In U.S. currency, one quarter is equivalent to 25 cents. To find out the total number of cents Fred has, we can perform the following multiplication:

25 cents × 3 quarters = 75 cents

Therefore, Fred has a total of 75 cents.

Pls mark Brainliest.

Answer:

330°

Step-by-step explanation:

A full rotation is 360°. Saying 11/12 of a full rotation is equivalent to saying 11/12 * 360°, which equals 330°.

We have that for the Question "whats 11/12 of a full rotation?" it can be said that 11/12 of a full rotation is

[tex]X=330 \textdegree[/tex]

From the question we are told

whats 11/12 of a full rotation?

Generally the equation for the Statement   is mathematically given as

[tex]x=\frac{11}{12}[/tex]

Where

360° signifies full rotation

Therefore

11/12 of a full rotation is

[tex]\frac{11}{12}*360[/tex]

[tex]X=330 \textdegree[/tex]

For more information on this visit

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Answer:

171.5

Step-by-step explanation:

Answer:

The answer to your question is Volume = 171.5 in ³

Step-by-step explanation:

Data

length = 8 in

width = 1.75 in

height = 12.25 in

To find the volume of this box, look for the formula to get the volume of a rectangular prism, substitute the values and simplify.

Formula

Volume = length x width x height

Substitution

Volume = 8 x 1.75 x 12.25

Simplification

Volume = 171.5 in ³

Answer:

5. 25/36

6. 25/36

7. -3/4 or 6

8. 0 or 4

Step-by-step explanation:

5. Square both sides: x + 4 = 9 - 6[tex]\sqrt{x}[/tex] + x

Subtract x from both sides and subtract 9 from both sides:

-5 = -6[tex]\sqrt{x}[/tex]

Square both sides again: 25 = 36x

Divide both sides by 36: x = 25/36

6. Square both sides: x + 4 = 9 + 6[tex]\sqrt{x}[/tex] + x

Subtract x and 9 from both sides: -5 = 6[tex]\sqrt{x}[/tex]

Square both sides: 25 = 36x

Divide both sides by 36: x = 25/36

7. Square both sides: x + 3 = 5x + 6 - 6[tex]\sqrt{5x+6}[/tex] + 9

Add 6[tex]\sqrt{5x+6}[/tex] to both sides and isolate it: 6[tex]\sqrt{5x+6}[/tex] = 4x + 12

Divide both sides by 2 and then square both sides again:

3[tex]\sqrt{5x+6}[/tex] = 2x + 6

9 * (5x + 6) = 4x^2 + 24x + 36

45x + 54 = 4x^2 + 24x + 36

4x^2 - 21x - 18 = 0

Factorize: (4x + 3)(x - 6) = 0  ⇒  x = -3/4 or x = 6

8. Square both sides: 2x + 1 = x^2 - 2x + 1

Move all the terms to one side and combine like terms: x^2 - 4x = 0

Factorize: x(x - 4) = 0  ⇒  x = 0 or x = 4

Hope this helps!

Answer:

5. x = 25/36

6. No real solutions

7. x = 6

8. x = 4

Step-by-step explanation:

5. sqrt(x + 4) = 3 - sqrt(x)

Square both sides

x + 4 = 9 - 6sqrt(x) + x

6sqrt(x) = 5

sqrt(x) = 5/6

x = 25/36

6. sqrt(x + 4) = 3 + sqr(x)

x + 4 = 9 + 6sqrt(x) + x

6sqrt(x) = -5

sqrt(x) = -5/6

Not possible. A + square root can not be negative

7. sqrt(x + 3) + 3 = sqrt(5x + 6)

Square both sides

x + 3 + 6sqrt(x + 3) + 9 = 5x + 6

6sqrt(x + 3) = 4x - 6

3sqrt(x + 3) = 2x - 3

Square both sides

9(x + 3) = 4x² - 12x + 9

4x² - 21x - 18 = 0

Using quadratic formula:

x = [21 +/- sqrt(21² - 4(4)(-18)]/(2×4)

x = [21 +/- 27]/8

x = 6, -¾

x = -¾ is rejected because it doesn't satisfy the initial equation

8. sqrt(2x + 1) = x - 1

2x + 1 = (x - 1)²

2x + 1 = x² - 2x + 1

x² - 4x = 0

x(x - 4) = 0

x = 0, 4

0 is rejected because it doesn't satisfy the initial equation

Jake has 730 grams left.

Lets start by converting the kilograms to grams. Kilos to Base is x1000

So he started with 1000 grams of olives.

How much olives did he use?

9*30=270

SO the answer is 1000-270=730

Answer:

1/15

Step-by-step explanation:

2/6 for the first one the first the second is 1/5, so 2/6=1/3, so 1/3 x 1/5 = 1/15 your answer is 1/15

Answer: 6 days

Step-by-step explanation: 6 days= 62,000 for jigsaw junction and 64,000 for impossible puzzles

i hope this helps

Impossible Puzzles will have more downloads than Jigsaw Junction in 1 day.

To find out how many days it will take for Impossible Puzzles to have more downloads than Jigsaw Junction, we need to set up an equation and solve for the number of days.

Let's assume that the number of downloads for Impossible Puzzles on the first day is x. Since it doubles in total number of downloads each day, the number of downloads on the second day would be 2x, on the third day would be 4x, and so on.

On the other hand, Jigsaw Junction is downloaded 10,000 times each day after the first day. So, for n number of days, the number of downloads for Jigsaw Junction would be [tex]10,000 * n.[/tex]

We want to find the number of days when the number of downloads for Impossible Puzzles is greater than the number of downloads for Jigsaw Junction. So, we can set up the equation [tex]4x > 10,000n.[/tex]

To find the value of x, we can substitute 2,000 (the number of downloads on the first day for Impossible Puzzles) into the equation: [tex]4(2000) > 10,000n.[/tex]

Putting all the information together, we can set up the equation [tex]8,000 > 10,000n.[/tex]

To solve for n, we can divide both sides of the equation by[tex]10,000: 8,000/10,000 > n[/tex]. This simplifies to 0.8 > n.

Since n represents the number of days, we round up to the nearest whole number. Therefore, it will take 1 day for Impossible Puzzles to have more downloads than Jigsaw Junction.

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Answer:

2

Step-by-step explanation:

Answer:

Use the distance formula to determine the distance between two points.

Exact Form:

2 √ 24041

Decimal Form:

310.10320862

Answer:

12

Step-by-step explanation:

Well 775-200 = 575

575÷50= 11.5

round up because you cannot got to a half of practice.

So 12 practices.

Answer:

10.49 g/cm³

Step-by-step explanation:

d = m/V = 52.45g/5cm³ = 10.49 g/cm³

Answer:

10.49g/cm3

Step-by-step explanation:

mass=52.45g

volume=5cm3

density=mass divided by volume

52.45 divide by 5=10.49

Answer: It’s D

Step-by-step explanation:

Just took assignment

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

The formula for determining the area of a rectangle is expressed as

Area = length × width

Length = 100 m

Width = 52 m

Area of rectangle = 100 × 52 = 5200 m²

A semicircle is half of a circle

The formula for determining the area of a semicircle is

Area = 1/2 × πr²

Diameter = 52 m

Radius = diameter/2 = 52/2

Radius = 26 m

The area of each semicircle is

1/2 × 3.14 × 26² = 1061.32 m²

The area of the surface of the pool is

1061.32 + 1061.32 + 5200 = 7322.64 m²

Answer:

5200

1061

7322

hope this help

Given:

The length of each edge of rhombus = 25 unit

The area of one rhombus is 600 square units.

The perpendicular distance between the bases is 24 units.

To find the volume of the prism.

Formula

The volume of the prism

[tex]V = Bh[/tex]

where, B is area of one rhombus

h be the height.

Now,

Putting, B = 600 , h = 24 we get,

[tex]V = (600)(24)[/tex] cube unit

[tex]or, V = 14400[/tex] cube unit

Hence,

The volume of the prism 14400 cube unit.

Answer:

C) all values of x

Step-by-step explanation:

Domain is the set of values of input 'x'

Since the denominator is not 0 for any x, there's no domain restriction

Answer:

Step-by-step explanation:

4.3 kg + 5.3 kg + 6.8 kg + 2.6 kg + 3.2 kg + 4.4 kg + 4.8 kg

4.3+5.3+6.8+2.6+3.2+4.4+4.8

= 31.4 ÷ 7

= 4.4857142857

Approx. 4.5kg

Answer:

60 in

Step-by-step explanation:

BD² = s² + s²

21.21² = 2s²

s² = 224.93205

s = 14.997734829

Perimeter = 4s

= 59.990939316

Answer:

(X-7)2-43

Step-by-step explanation:

Answer:

7

43

Step-by-step explanation:

Answer:

82.4 millimeters is the size of the ant in the photo

Step-by-step explanation:

In this question, we are asked to calculate the size of an ant in a science book given the actual size of the ant and the percentage increase is the size of the ant in the book.

From the question, we can identify that the actual size is 16 millimeters

Now let’s find 515% of this to know the size to which it would be magnified in the science book.

That would be;

515/100 * 16 = 82.4 millimeters

Hence, this means the ant will have a size of 82.4 millimeters in the science book

Answer:

The size of the ant in the photo is 88 mm

Step-by-step explanation:

Here, we have the percentage increase = 515 %

Size of ant = 16 millimeters in real life,

Therefore, the size of the ant in the in the photo, is given by,

[tex]\frac{16 \, mm}{100} = \frac{y\, mm}{550} = \frac{16 \times 550}{100} = \frac{y \times 100 \, mm}{100} \rightarrow 88 \, mm = y[/tex]

y = 88 mm

The size of the ant in the photo = 88 mm.

Answer:

185 Points

Step-by-step explanation:

38 x 2 = 76

33 x 3 = 99

8 x 1 = 8

78 + 99 + 8 = 185

Work Shown:

"38 points worth of two-pointers" means 38/2 = 19 two point shots were made.

"33 points worth of three-pointers" means 33/3 = 11 three point shots were made

"8 points worth of free throws" means 8/1 = 8 free throws were made

In total, 19+11+8 = 38 shots were made

Answer:

i don't think anyone an answer this without the picture below.

Step-by-step explanation:

Answer:2 , 3 , and 5 would be your answer

Step-by-step explanation:

Answer:

B,C,E

Step-by-step explanation:

so the guy above me is right

2x-5y=-1;6x-5y=27

Solution :

{x,y} = {7,3}

System of Linear Equations entered :

  [1]    2x - 5y = -1

  [2]    6x - 5y = 27

Graphic Representation of the Equations :

   -5y + 2x = -1        -5y + 6x = 27  

Solve by Substitution :

// Solve equation [2] for the variable  x

 [2]    6x = 5y + 27

 [2]    x = 5y/6 + 9/2

// Plug this in for variable  x  in equation [1]

  [1]    2•(5y/6+9/2) - 5y = -1

  [1]     - 10y/3 = -10

  [1]     - 10y = -30

// Solve equation [1] for the variable  y

  [1]    10y = 30

  [1]    y = 3

// By now we know this much :

   x = 5y/6+9/2

   y = 3

// Use the  y  value to solve for  x

   x = (5/6)(3)+9/2 = 7

Solution :

{x,y} = {7,3}

  Hope I helped! :)

Answer: Mike offer is the best.

Step-by-step explanation:

Assuming he work for 30hrs per week in a month he gets

30hrs x 10 = $300 x 4 = $1200

If Mark work 30hrs per week he gets

30hrs x $8 = $240 x 4 = $960 + Bonus $100 = $1,060

Therefore, Mike makes more money.