Which statement illustrates the distributive property?
3(4+5) = 3(4)+5
3(4+5)-3(4)+ 3(5)
3[(4)(5)] - 3(4)+3(5)
3[(4)(5)] = [ 3(4)][3(5)]

En un mes el reloj de Alicia se retrasa 1.5 minutos, por otra parte en un año su reloj se retrasa 18 minutos y 15 segundos.

La mayoría de los meses tienen entre 30 y 31 días:

Mes de 30 días:

En general se atrasa 1.5 minutos en un mes.

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Answer:

x= 4, y= -2

Step-by-step explanation:

To solve the system by substitution, start by labelling the two equations:

-4x +5y= -26 -----(1)

y= 3x -14 -----(2)

Since the second equation already has y as the subject of formula, we can substitute equation (2) into (1). This means that we can replace all the 'y's in equation (1) with 3x -4, such that equation (1) will only be in terms of x.

Substitute (2) into (1):

-4x +5(3x -14)= -26

Expand:

-4x +15x -70= -26

11x= 70 -26

11x= 44

Divide both sides by 11:

x= 44 ÷11

x= 4

Substitute x= 4 into (2):

y= 3(4) -14

y= 12 -14

y= -2

The volume of the connector given the base area and the height is 84.70cm³.

A hexagonal prism is a three dimensional object that is made up of a hexagonal base. It has 8 faces, 18 edges, and 12 vertices.

Volume = [tex]\frac{3\sqrt{3} }{2} a^{2}h[/tex]

Where:

2.598076 x 8.15 x 4 = 84.70cm³

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Answer:

32.6 cm³ for K12

Answer:

The car travelled 73 miles

The boat travelled 53 miles

The car arrived 17.7 minutes before the boat

Step-by-step explanation:

The total distance the car travelled from Point A to Point B = 28+45 = 73 miles

The total distance the boat travelled is given by the displacement; Using Pythagorean theorem = 53miles.

Time taken by the car = Distance/Speed = 73/40 = 1.825 hrs or 109.5 minutes

Time taken by the boat = Distance/speed = 53/25 = 2.12 hrs or 127.2 minutes.

The time taken by the car is the shortest, therefore it arrives first before the boat.

(◔‿◔)

Answer:

Step-by-step explanation:

The graph is generally increasing.  Thus, as the weight increases, the cost increases with it.

Answer:

22.5%

Step-by-step explanation:

The total of people surveyed between 21-34 is 40 and the total number who prefer other or hate sports is 9 so the percent is 9/40 which is equal to  2.25. Multiply this number by 100 to get it as a percent and you have 22.5%

22.5% of the people between the ages of 21 and 34 prefer "Other/Hate Sports."

Percentage is a way of expressing a fraction or a portion of a whole as a value out of 100. It is denoted by the symbol "%". Percentages are used to represent proportions, ratios, or rates in a more easily understandable and comparable form.

To find the percentage of people between the ages of 21 and 34 who prefer other sports and/or hate sports, we need to calculate the proportion of the total respondents in that age group who have chosen "Other/Hate Sports."

The table shows that there are 9 people between the ages of 21 and 34 who prefer "Other/Hate Sports" out of a total of 40 respondents in that age group.

So, Percentage = (Number of people with the preference / Total number of respondents in the age group) x 100

= (9 / 40) x 100

= 22.5%

Therefore, 22.5% of the people between the ages of 21 and 34 prefer "Other/Hate Sports."

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Answer:The answer should be 1504 if i did it corectly

Step-by-step explanation: to get volume you need to multiply L*W*H and filling that in. 13 * 8 * 2 whitch you should get 208

the other size would have to be 9 * 8 * 18 which you should get 1296

then to get the total you just need to add together the two sums 208+1296 which should equal 1504.

Answer:

i think it is b

Step-by-step explanation:

i am not good at math sorry

Answer:

6.8 x 12.5 x 13 = 1105

Step-by-step explanation:

Answer:

the answer is 1105

Step-by-step explanation:

Answer:

We have the length, width, and height of the rectangular prism, so we can calculate V=l×w×h=20cm×10cm×10cm=2,000cm3 V = l × w × h = 20 cm × 10 cm × 10 cm = 2 , 000 cm 3

The surface area of Prism B is approximately 367.25 cm^2.

Since Prisms A and B are similar, their corresponding sides are in proportion, and their volumes are related by the cube of the scale factor between them.

Let the scale factor between Prism A and Prism B be k. Then:

Volume of Prism A / Volume of Prism B = (Side length of Prism A / Side length of Prism B)^3

Given that the volume of Prism A is 375 cm^3 and the volume of Prism B is 648 cm^3, we can set up the equation:

375 / 648 = (Side length of Prism A / Side length of Prism B)^3

Now, let's solve for the scale factor (k):

k^3 = 375 / 648

k^3 = 0.5787037037

k ≈ 0.825 (rounded to three decimal places)

Now, since the surface area of a prism is proportional to the square of its side length, we can find the ratio of the surface areas:

(Surface area of Prism A / Surface area of Prism B) = (Side length of Prism A / Side length of Prism B)^2

Given that the surface area of Prism A is 250 cm^2, we can find the surface area of Prism B:

Surface area of Prism B = Surface area of Prism A / (k^2)

Surface area of Prism B = 250 / (0.825^2)

Surface area of Prism B ≈ 250 / 0.680625

Surface area of Prism B ≈ 367.25 cm^2

Therefore, the surface area of Prism B is approximately 367.25 cm^2.

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Answer:

$0.318 per minute

Step-by-step explanation:

3.18/10 = 0.318

3.18 divided by 10 equals 0.318

Answer:

3.18 cents per minute

Step-by-step explanation:

318 cents / 10 minutes = 3.18 cents per minute

Hey there!

Option A.
23 + (4) - 4 * 2

= 23 + 4 - 4 * 2

= 27 - 4(2)

= 27 - 8

= 19

19 ≠ 32

Option B.
3 * 3 + (42) - 4

= 3 * 3 + 42 - 4

= 9 + 42 - 4

= 51 - 4

= 47

47 ≠ 32

Option C.
42 - 7 * 0

= 42 - 0

= 42

42 ≠ 32

Option D.
4 * 5 + 2 - 4 + 2

= 20 + 2 - 4 + 2

= 22 - 4 + 2

= 18 + 2

= 20

20 ≠ 32

None of them are equivalent to 32

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

That'd be B.  The red graph has the classic shape of an exponential function (y-intercept (0,1), and the blue on e has the shape of a log function (x-intercept (1,0).  These two functions are inverses of one another, and so their graphs are reflections about the line y = x.

Step-by-step explanation:

Answer:

x = [tex]\frac{2\sqrt{21}}{3}[/tex]

Step-by-step explanation:

For a 30-60-90 triangle:

Thus:

Answer:

2 21 3

Step-by-step explanation:

8x²-18x-56

Solve :

apply distributive method

simplify the following

final outcome

Answer:

B)  [tex]8x^2-18x-56[/tex]

Step-by-step explanation:

Given expression:

[tex](4x + 7)(2x - 8)[/tex]

Apply the FOIL method: [tex](a+b)(c+d)=ac+ad+bc+bd[/tex]

[tex]\implies (4x \cdot 2x)+(4x \cdot -8)+(7 \cdot 2x) +(7 \cdot -8)[/tex]

[tex]\implies 8x^2-32x+14x-56[/tex]

Combine like terms:

[tex]\implies 8x^2-18x-56[/tex]

Answer:

[tex]\displaystyle 1\frac{1}{10}n[/tex]

Explanation:

Convert [tex]\displaystyle 110\%[/tex]to a mixed number, then set [tex]\displaystyle n[/tex]up next to it.

I am joyous to assist you at any time.

Answer:

Step-by-step explanation:

Step one is not correct. He got 12. He should have obtained 10 -2  = 8. You need to subtract 2 on the left to get rid of the 2 there. So you must subtract 2 on the right.

Answer: Step one contains the error.

Answer:

A. Step 1

Step-by-step explanation:

I did it on khan so its right

Answer:

-5

f(-1) would be the remainder

Answer:

2 and 3

Step-by-step explanation:

So, 24=2x2x2x3

42=2x3x7

3 and 2

Answer:

2 and 3

Step-by-step explanation:

prime factors for 42: 2, 3, and 7

prime factors for 24: 2,2,2 and 3

Answer:

108

Step-by-step explanation:

Okay here we see a diameter of 6 which is a line that shows the width of the whole circle. The radius is half of the diameter. So its 3. So its asking to use 3 for pie and the formula is 4/3 pie r^3. So we do 4/3 times 3 times 3^3 and we get 108. I hope this helps.

Answer: (x - 2)^2 + (y + 3)^2 = 18 3(2^(1/2)) (2,-3)

Step-by-step explanation:

7x^2 - 28x + 7y^2 + 42y - 35 = 0

divide 7 out

x^2 - 4x + y^2 + 6y - 5 = 0

add 5 to other side

x^2 - 4x + y^2 + 6y = 5

solve by completing the square

take b values divide them by 2  square and add to both sides

-4/2 = -2

-2^2 = 4

6/2 = 3

3^2 = 9

X^2 - 4x + 4 + y^2 + 6y +9 = 4 + 9 +5

(x - 2)^2 + (y + 3)^2 = 18

(x - k)^2 + (y - h)^2 = r^2

r^2 = 18

r = [tex]\sqrt{18}[/tex] = 3[tex]\sqrt{2}[/tex] = 3(2^(1/2))

center of circle = (2,-3)

Answer:

c

Step-by-step explanation:

the right answer is c it good

The class can make the school cup of 120.5 cm tall.

Equations include two sides on the left and right connected with equal to sign.

We can find the key measurements of the cups using the formula,

x + 10y = 125

where x is the height of one cup without including the lip length and y is the lip length.

x + y is the height of one cup.

There are various ways to form the measurement of x and y here.

Let y, the lip length of the cup be 1 cm tall. Then,

x + 10 = 125

⇒ x = 115

Length of 1 cup will be 115 + 1 = 116 cm.

Suppose length of lip, y be 0.5 cm. Then,

x + (10 × 0.5) = 125

x + 5 = 125

x = 125 - 5

x = 120 cm

Length of 1 cup will be 120 + 0.5 = 120.5 cm.

Similarly, we can have many measurements for the height of one cup.

Their logo can be placed in the middle of the cup taking the height of 80 cm leaving 20 cm on the top and bottom.

Hence the class can make the school cup of 120.5 cm tall.

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Answer:

Annabelle answered 85% of the answers correctly.

Step-by-step explanation:

You would do 200-30 questiosn to get 170 questions that she answered right. You would then do 170/200 to get 0.85. 0.85 in decimal form is equal to 85%. I hope this helps! :)

Answer:

y = 10x

Step-by-step explanation:

If x represents the hours & y represents the miles, your equation should be in multiplication.

10 miles an hour would be 10x and y would be the total. You can also plug in the answer to check. Let's say x is 2. Plug that into 10x and you get 10(2) = 20 and since y is 20, that'd be 20 miles. Therefore, you'd be running 20 miles in 2 hours, which makes sense because your rate is 10 miles an hour.

The first step for factoring is 3w(x + y) - 4z(x + y). The correct option is (A).

An algebraic expression can be obtained by doing mathematical operations on the variable and constant terms.

The variable part of an algebraic expression can never be added or subtracted from the constant part.

The given algebraic expression is as below,

3wx + 3wy - 4zx - 4zy

In order to factorize it find the common factors for the group terms such that one of the factors is common for both the groups as follows,

3wx + 3wy - 4zx - 4zy

Take (3wx + 3wy) and (- 4zx - 4zy) as two groups.

The factor form for  (3wx + 3wy) is 3w(x + y).

And, for (- 4zx - 4zy) it is -4z(x + y).

Thus, the given expression can be written as,

3wx + 3wy - 4zx - 4zy

= 3w(x + y) - 4z(x + y)

Hence, first step when factoring the given expression is 3w(x + y) - 4z(x + y).

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Answer:

Look at the photo.

Step-by-step explanation:

The formula is y=mx+b. So, for the first one you start at the coordinate (0, 2) and then move down 2 and right one.

For the second one you start at the coordinate (0, -2) and then move down two and move right one.

Answer:

x 3 -2x

Step-by-step explanation: