Please help its vocab matching

a) There are 2400 animals on the farm.

b) The number of sheep on the farm is 700.

c) The percentage of rabbits in relation to the total number of animals is 37.5%.

d) The angle that represents the number of pigs is 75 degrees.

a) To determine the total number of animals on the farm, we add up the number of rabbits, sheep, cattle, and pigs:

Total number of animals = 900 (rabbits) + 700 (sheep) + 300 (cattle) + 500 (pigs) = 2400 animals.

b) The number of sheep on the farm is given as 700.

c) To calculate the percentage of rabbits in relation to the total number of animals, we divide the number of rabbits by the total number of animals and multiply by 100:

Percentage of rabbits = (900 / 2400) * 100 = 37.5%.

d) To calculate the angle that represents the number of pigs, we need to find the proportion of the total number of animals that pigs make up, and then convert it to an angle on the pie chart.

Proportion of pigs = 500 / 2400 = 0.2083.

To find the angle in degrees, we multiply the proportion by 360 degrees:

Angle representing pigs = 0.2083 * 360 = 75 degrees.

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Answer:

biosphere then ecosystem then community populations then organisms

The value of y is 18

Similar triangles have the same corresponding angle measures and proportional side lengths. The angles of the two triangle must be equal and it not necessary they have equal sides.

Therefore the corresponding angles of similar triangles are congruent and the ratio of corresponding sides of similar triangles are equal.

Therefore;

14/21 = 12/y

14y = 21 × 12

14y = 252

divide both sides by 14

y = 252/14

y = 18

Therefore the value of y is 18.

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When 1,493,600 is divided by 8 the quotient is 186,700.

To divide 1,493,600 by 8, you can follow these steps:

We have to write down the dividend (1,493,600) and the divisor (8).

Now start with the largest place value in the dividend (the leftmost digit) and perform the division.

Divide 1 by 8. Since 1 is smaller than 8, you move to the next digit.

Bring down the next digit (4) and combine it with the previous quotient (0). This gives you 04.

Divide 4 by 8. Since 4 is smaller than 8, you move to the next digit.

Bring down the next digit (9) and combine it with the previous quotient (0). This gives you 09.

Divide 9 by 8. The quotient is 1, and the remainder is 1.

Bring down the next digit (3) and combine it with the remainder (1). This gives you 13.

Divide 13 by 8. The quotient is 1, and the remainder is 5.

Bring down the next digit (6) and combine it with the remainder (5). This gives you 56.

Divide 56 by 8. The quotient is 7, and there is no remainder.

Bring down the next digit (0) and combine it with the quotient (7). This gives you 70.

Divide 70 by 8. The quotient is 8, and there is no remainder.

There are no more digits to bring down, and the division is complete.

The quotient is the result of the division. In this case, 1,493,600 divided by 8 is equal to 186,700.

Therefore, the result of 1,493,600 ÷ 8 is 186,700.

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We can solve for the missing elements as follows:

1. Radius - 10 inches

Diameter - 20

Circumference -  62.8

Area - 314

2.  Radius  - 6ft

Diameter - 12

Circumference - 37.68

Area - 113.04

3.  Radius - 18

Diameter - 36 yards

Circumference - 113.04

Area - 1017.36

4.  Radius 15

Diameter - 30 cm

Circumference 94.2

Area - 706.5

5.  Radius - 5 mm

Diameter 10

Circumference 31.4

Area -78.5

6. Radius 20

Diameter - 40 inches

Circumference  125.6

Area -1256

To solve for the given values, we will use the formulas for area, circumference. Also, we can obtain the radius by dividing the diameter by 2 and the diameter is 2r. So we will solve for the values this way:

1. radius = 10 inches

diameter = 20

circumference = 2pie*r 2 *3.14*10 = 62.8

Area = 314

2. radius = 6ft

diameter = 12

circumference = 37.68

Area = 113.04

3. radius = 18

diameter = 36 yards

circumference = 113.04

Area = 1017.36

4. radius = 15

diameter = 30 cm

circumference = 94.2

Area = 706.5

5. radius = 5 mm

diameter = 10

circumference = 31.4

Area = 78.5

6. radius = 20 inches

diameter = 40 inches

circumference = 125.6

area = 1256

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Answer: it would be 2 to the right and 2 up

Step-by-step explanation:

2 right 2 up

The linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.

To determine the linear function with the same y-intercept as the graph, we need to find the equation of the line passing through the points (3, 4) and (5, 0).

First, let's find the slope of the line using the formula:

slope (m) = (change in y) / (change in x)

m = (0 - 4) / (5 - 3)

m = -4 / 2

m = -2

Now that we have the slope, we can use the point-slope form of a linear equation to find the equation of the line:

y - y1 = m(x - x1)

Using the point (3, 4) as our reference point, we have:

y - 4 = -2(x - 3)

Expanding the equation:

y - 4 = -2x + 6

Simplifying:

y = -2x + 10

Now, let's check the given options to find the linear function with the same y-intercept:

Option 1: The table with x-values (-3, -1, 1, 3) and y-values (-4, 2, 8, 14)

The y-intercept is not the same as the given line. So, this option is not correct.

Option 2: The table with x-values (-4, -2, 2, 4) and y-values (-26, -18, -2, 6)

The y-intercept is not the same as the given line. So, this option is not correct.

Option 3: The table with x-values (-5, -3, 3, 5) and y-values (-15, -11, 1, 5)

The y-intercept is the same as the given line (10). So, this option is correct.

Option 4: The table with x-values (-6, -4, 4, 6) and y-values (-26, -14, 34, 46)

The y-intercept is not the same as the given line. So, this option is not correct.

Therefore, the linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.

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Answer:

2/5

Step-by-step explanation:

Answer:

175760000

Step-by-step explanation:

There are 10 possibilities for each number and 26 possibilities for each letter.

Using the multiplication principle, the answer is \((10)(26^3)(10^3)=175760000\)

Answer:

26

Step-by-step explanation:

h=21+5

h=26

The value of h will be 26, when p =7.

An equation is said to be linear equation in two variables if it is written in the form of ax + by + c=0, where a, b & c are real numbers and the coefficients of x and y, i.e. a and b respectively, are not equal to zero.

The method  in which, the value of one variable from one equation is substituted in the other equation. So that, a pair of the linear equation gets transformed into one linear equation with only one variable, which can then easily be solved. This method is called substitution method.

According to the given question we have

A linear equation in two variable

h = 3p + 5

So, the value of h when p = 7

Substitute, p = 7  in h = 3p + 5

⇒ h = (3 × 7) + 5

⇒ h = 21 + 5

⇒ h = 26

Hence, the value of h will be 26, when p =7.

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The term that can be added to the list so that the greatest common factor of the three terms  12h3 36h3, 12h6, is 48h5

A group of numbers' greatest common factor (GCF) is the biggest factor that all the numbers have in common. For instance, 12, 20, and 24 all share two characteristics.

The term that  can fit in to the list so the GCF is 12h3 would be 48h5, this is so because 48 is first divisible by 12  without any  fraction, and we can remove upon dividing 3 h's from this term as it contains a total of 5 h's.

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Answer:

-17

Step-by-step explanation:

You have to simplify the expression!

Answer:

-17

Step-by-step explanation:

Answer:

m = ( y-c)/x

Step-by-step explanation:

y = mx+c

Subtract c from each side

y-c = mx+c-c

y-c = mx

Divide each side by x

(y-c)/x = mx/x

(y-x)/x = m

Answer:

m = (y - c)/x

Step-by-step explanation:

Given :

y = mx + c

=============================================================

Subtract c from both sides :

⇒ y - c = mx + c - c

⇒ y - c = mx

=========================================================

Divide both sides by x :

⇒ mx/x = (y - c)/x

⇒ m = (y - c)/x

Answer:

the amount of Basil Yamey's capital is £16,480.

Step-by-step explanation:

To calculate Basil Yamey's capital, we need to add up the value of his assets and subtract his liabilities.

The value of his assets is:

Van: £9,000

Market stall: £1,800

Computer: £280

Inventory of goods: £11,200

Cash in hand: £900

Money in the bank: £6,300

Total value of assets = £9,000 + £1,800 + £280 + £11,200 + £900 + £6,300 = £29,480

His liabilities are:

Amount still owed for inventory of goods: £5,000

Amount borrowed from Luca Pacioli: £8,000

Total liabilities = £5,000 + £8,000 = £13,000

Therefore, Basil Yamey's capital is:

Capital = Total value of assets - Total liabilities

Capital = £29,480 - £13,000 = £16,480

So the amount of Basil Yamey's capital is £16,480.

Answer:

Basil Yamey's capital is the total amount of money that he has invested in his business. This can be calculated as the sum of the cost of the assets that he has purchased, minus any outstanding debts, plus any cash or cash equivalents he has on hand.

The cost of the assets that Basil has purchased is:

£9,000 (van) + £1,800 (market stall) + £280 (computer) + £11,200 (inventory) = £21,280

He still owes £5,000 for the inventory, so the total cost of the assets minus the outstanding debt is:

£21,280 - £5,000 = £16,280

He borrowed £8,000, so the total amount of his capital is:

£16,280 + £8,000 = £24,280

He also has cash on hand and in the bank:

£900 (cash) + £6,300 (bank balance) = £7,200

So, Basil Yamey's total capital is £24,280 + £7,200 = £31,480.

Answer: I believe it's A

Hope this helped

Answer:

Step-by-step explanation:

1. x is inversely proportional to y

x=k/y

k is the constant of proportionality

x =60/y

2. x=60/y

x=60/12

x=5

The probability that the next person will purchase one or more costumes as a decimal to the nearest hundredth is 0.443

Out of 217 visitors who came to Nayeli's website, none of them purchased a costume. Therefore, the number of visitors who may purchase a costume is 217 less than the total number of visitors:

Total visitors - No. of visitors who didn't purchase a costume = 217

Total visitors - 217 = No. of visitors who may purchase a costume

Total visitors = 113 + 217+36 = 336

Out of the remaining visitors, 113 purchased exactly one costume, and 36 purchased more than one costume. Therefore, the number of visitors who purchased one or more costumes is:

No. of visitors who purchased one or more costumes = 113 + 36 = 149

Therefore, the probability that the next person will purchase one or more costumes can be expressed as:

Probability = No. of visitors who purchased one or more costumes / Total visitors

Probability = 149 /336 = 0.443

The probability that the next person will purchase one or more costumes as a decimal to the nearest hundredth is 0.443

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Answer:

Step-by-step explanation:

.44

Triangles ZWN and ZXY are similar by the SAS congruence theorem.

The Side-Angle-Side (SAS) congruence theorem states that if two sides of two similar triangles form a proportional relationship, and the angle measure between these two triangles is the same, then the two triangles are congruent.

In this problem, we have that the angle Z is equals for both triangles, and the two sides between the angle Z, which are ZW = ZY and ZV = ZX, form a proportional relationship.

Hence the SAS theorem holds true for the triangle in this problem.

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Answer:

5

Step-by-step explanation:

0-4= -4

-4+9=5

Answer: The 5th Floor

Step-by-step explanation:

0 - 4 = - 4

- 4 + 9 = 5

Answer:

Below

Step-by-step explanation:

15 point average for 6 games = 90 points total

   for the final 6 games she can score a total of 90 points to maintain her average of 15 points per game

  there are a LOT of possibilities....here is one

   Pts:   16    14    16   14   16  14    = 90 points (with no 15 point games)

Answer:

7,21,27,81,87, 261, 267....

Step-by-step explanation:

All odd number series from the given figure is

7, 21, 27, 81 , 87....

We can write this series as

7, 7 x 3 , (7x3)+6, ((7x3)+6)x3, (((7x3)+6)x3)+6....

7, 21, 21+6 , 27 x 3, 81+6...

Now, the next term of the series will be

=((((7x3)+6)x3)+6) x 3

= 87 x 3

= 261

And another term of the series will be

= 261 +6

= 267

7,21,27,81,87, 261, 267....

Answer:

Step-by-step explanation: 21

The measure of angle B and angle B' will be 66.25° and 113.75°, respectively. Then the correct option is A.

The Law of Sines The law of trigonometric functions, sine law, sine formula, or sinusoidal rule is a trigonometric equation that relates the sizes of any triangle's edges to the sines of its orientations.

In the following triangle, θ = 60°. Then the sine law in the triangle is given as,

13 / sin B = 12.3 / sin 60°

Simplify the equation, then the measure of the angle B is given as,

13 / sin B = 12.3 / sin 60°

sin B = 0.91531

B = 66.25°

The angle B and angle B' are the supplementary angles. Then we have

B + B' = 180°

66.25° + B' = 180°

B' = 113.75°

The measure of angle B and angle B' will be 66.25° and 113.75°, respectively. Then the correct option is A.

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Answer:

B = 66.25 or B' = 113.75

Step-by-step explanation:

law of sines

13/sinB' = 12.3/sin60

sinB = 13(sin60)/12.3

B = sin^-1(0.915)

B = 66.25

Answer:

Brand A

Step-by-step explanation:

Brand A has a box of 25 forks for 1.99

Take the price per fork

1.99 /25 = .0796

              .08 per fork

Brand B has a box of 42 totals for 3.89

3.89 / 42

.092319048

.09 per fork

Answer:

the square root of -1 is i

Step-by-step explanation:

Well, actually, the square root of -1 (or any negative number at that) is not a real number. What I mean by that is that there is no way to square a real number to get a negative number (ie \(2^{2} = 4, -2^{2} =4\), there is no way to square a real number to get -4).

To solve this, mathematicians came up with the "imaginary number" i which, when squared, equals to -1. This allows us to get the square root of negative numbers (\(\sqrt{-4} = 2i\)) or get negative numbers through squaring (\(2i^{2} = -4\)).

The required value of the square root of -1 is i. The correct answer is option B.

As we know that complex number is made up of real and imaginary values. It is represented by the equation z = a + ib, where a, b, and i are real values and i is an imaginary number.

The square root of -1 is denoted as "i" in mathematics, where "i" represents the imaginary unit.

The imaginary unit is defined as the square root of -1. It is important to note that the square root of a negative number is not a real number, but an imaginary number.

⇒ √(-1)

⇒ √(i²)

⇒ i

So, the correct answer is "i."

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The value of x for which the two lines are parallel is given as follows:

x = 60º.

We have two parallel lines that are cut by a transversal, and the two angles are between the parallel lines and on the same side of the transversal, meaning that they are consecutive interior angles.

Consecutive interior angles are supplementary, meaning that the sum of their measures is of 180º, hence the value of x can be found as follows:

x + 2x = 180

3x = 180º

x = 180º/3

x = 60º.

The figure is given by the image presented at the end of the answer.

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The ratio of the volumes of the two similar solids that have a scale factor of 5:3 is: 125:27.

If two solids that are similar to each other, have volumes A and B respectively, and have a scale factor of a:b, thus, the ratio of their volumes would be expressed as:

Volume of solid A/Volume of solid B = a³/b³

or

Volume of solid A : Volume of solid B = a³ : b³

Thus, the given similar solids have a scale factor of 5:3, therefore, the ratio of their volumes would be expressed as shown below:

5³ : 3³

125 : 27

Thus, the ratio of the volumes of the two similar solids that have a scale factor of 5:3 is: 125:27.

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Answer:

1. No

2. 90 and 180

3. 9

4. 150 as consecutive angles

5. 73

6. x+x+2x+2x = 180

6x = 180

x = 30

7. 3x+2y+24=180

3x+2y +24=180

3x+2y=180-24

3×32 +2y= 156

y=60/2

y=30

when, y=24

3x+2y+24=180

3x+2×24-180-24

3x=-156-48

x=108/3

x=34.444

Answer:

The equation is false

Step-by-step explanation:

(x+5)^2 = x^2+25

FOIL the left hand side.

(x+5)(x+5)

x^2 +5x+5x+25

x^2 +10x+25

This does not equal x^2+25.