Marcia has stuffed animal collection . She has 10 dogs and 15 teddy bears .What is the ratio of digs to bears​

Part A: The total area of the brick paver border is \(960\) square feet.

Part B: The total cost of the brick pavers needed for this project is $\(7,680\).

Part A: To find the total area of the brick paver border, we need to subtract the area of the pool from the area of the larger rectangle. The area of the pool is \(32\) feet multiplied by 12 feet, which is equal to \(384\)square feet.

The area of the larger rectangle is \(48\) feet multiplied by \(28\) feet, which is equal to \(1,344\) square feet. Therefore, the area of the brick paver border is \(1,344\) square feet minus \(384\) square feet, which equals \(960\) square feet.

Part B: If brick pavers cost $\(8\)per square foot, we can calculate the total cost by multiplying the cost per square foot by the total area of the brick paver border. The total area of the brick paver border is \(960\) square feet, and the cost per square foot is $\(8\).

Therefore, the total cost of the brick pavers needed for this project is $\(8\)multiplied by \(960\) square feet, which equals $\(7,680\).

Note: The calculations provided assume that the border consists of a single layer of brick pavers.

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\(a. \: 5.745 \times {10}^{2} < |58.6| < 5.745\)

This is your answer

The answer is D: conjecture

The key words in the description are "look for a pattern and then form an educated guess." This suggests making a hypothesis or assumption based on the observed pattern, which is the definition of a conjecture.

The other answer choices are defined as follows:

A. conjugation - the act of changing a verb to agree with its subject

B. conjunction - a connecting word

C. congruence - the state of agreeing, matching, or coinciding

D. conjecture - an opinion or conclusion formed on the basis of incomplete information

So option D, conjecture, is the best match for forming an educated guess based on an observed pattern in induction.

The calculated value of the probability of B is (c) 0.25

From the question, we have the following parameters that can be used in our computation:

P(A or B) = 0.3

P(A and B) = 0.2

P(A/B) =0.8

First, we have

P(A/B) = P(A and B)/P(B)

Substitute the known values in the above equation, so, we have the following representation

0.2/P(B) = 0.8

So, we have

P(B) = 0.2/0.8

Evaluate

P(B) = 0.25

Hence, the probability of B is 0.25

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Answer:

x = 20

Step-by-step explanation:

Exterior angle theorem

Exterior angle = Interior opposite angle 1 + Interior opposite angle 2

(9x + 16)° = 90 + (5x - 14)°

9x + 16 = 90 + 5x - 14

9x - 5x = 90 - 14 - 16

4x = 90 - 30

4x/4 = 60/4

x = 20

Answer:

b

Step-by-step explanation:

Answer:

B. 22 feet.

Step-by-step explanation:

The width is adding 2 feet for every time the length is adding 8 feet. So, 88+8=96, and 20+2=22.

Answer:

True.

Hope this helps.

Answer:

Answer:

94.6ft

step by step explanation :

sine(52) = x/120

multiply both sides by 120

120 sine(52°) = x

put it in a calculator

X=94.56129043

round to nearest tenth

X = 94.56ft

The angle C can be obtained rom the computation below as 16 degrees.

We know that the cosine is one of the angular measures that we have. The trigonometric ratios that we have are the sine the cosine and the tangent. We can be able to obtain the angle of the when we take the inverse of the cosine of the angle.

Now we know that the cosine of the angle can be defined as the ratio of the adjacent and the hypotenuse. The value of the cosine of the angle can be gotten from the table of the standard measure of the angles or by the use of a calculator.

We then have that;

Cos C= 0.9613

C = Cos-1( 0.9613)

By the time we make use of a good calculator we obtain the angle as;

C = 16 degrees

This is the value of the angle.

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Answer:

2x24=3=41

Step-by-step explanation:

Answer:

x = 19

Step-by-step explanation:

Answer:

10, 5+5=10

correct answer would be 10

Answer:

(x + y) (6 x - 9 y + 2)

6 x^2 - 3 x y + 2 x - 9 y^2 + 2 y

1\/24 (12 x - 3 y + 2)^2 + 1\/24 (-225 y^2 + 60 y - 4)

Step-by-step explanation:

its one of these 3 answers

Answer: 10 and -4

Step-by-step explanation: 10 + - 4 = 6 and 10 x -4 = -40

Answer:

19/20 , 1 1/4 , 1 4/5

Step-by-step explanation:

1.8 = 1 4/5 (fraction)

1.8 converts to 18/10. This can be simplified twice, firstly by making it 9/5 since both 18 and 10 are divisible by two, but can be simplified further to 1 4/5

1.25 = 1 1/4 (fraction)

1.25 converts to 125/100. This can be simplified to 5/4 or 1 1/4

0.95 = 19/20 (fraction)

0.95 converts to 95/100. This can be simplified to 19/20

Ascending Order (smallest to largest)

smallest - 19/20

middle - 1 1/4

largest - 1 4/5

I believe this is the right answer, but haven't done fractions in a while so may want to double check to make sure

Answer:

Step-by-step explanation:

If the center of the circle is at the origin, the general formula for the circle is

x^2 + y^2 = r^2.

Since r  = 2 units in this particular problem, the equation of the circle is:

x^2 + y^2 = 2^2,  or  x^2 + y^2 = 4

Step-by-step explanation:

16 - 10 × 1/5 + 13

16 - 5 + 13

11 + 13

24

Step-by-step explanation:

10/5=2

16-2+13=27.

d. 27

Answer:

11

Step-by-step explanation:

1/2 times 2³=4

+7=11

Answer:

50

Step-by-step explanation:

^^^^^^^^^ (please give me brainliest)

Answer:

The recoil velocity of the gun is \(0.72\,\,\frac{km}{h}\)  and is pointing in opposite direction to the velocity of the bullet.

Step-by-step explanation:

Use conservation of linear momentum, which states that the momentum of the bullet (product of the bullet's mass times its speed) should equal in absolute value the momentum of the recoiling gun (its mass times its recoil velocity).

We also write the mass of the bullet in the same units as the mass of the gun (for example kilograms). Mass of the bullet = 0.010 kg

In mathematical terms, we have:

\(5\, kg * v= 0.01 \,kg\,* 360\,\frac{km}{h} \\v=\frac{0.01\,*360}{5} \,\,\frac{km}{h}\\v=0.72\,\,\frac{km}{h}\)

I think it’s 7.2! Don’t know though

Answer:

40π inches

Step-by-step explanation:

What is the formula for the circumference of a circle?

The formula for the circumference of a circle is:

(where C is the circumference and r is the radius)

If the radius of the circle is 20 inches, then its circumference in terms of π would be:

Therefore, the circumference of a circle when the radius is 20in is 40π inches.

Answer:

C = 40π

Step-by-step explanation:

To calculate the circumference of a circle, we will use the formula

C = 2πr

And we're asked to find C in terms of pi.

So all I need to do is plug in 20 for the radius, and then multiply.

I plug in 20 for the radius, r:      C = 2π × 20

Multiply:                                       C = 40π

Therefore, C = 40π.

Geometric Sequences

A geometric sequence is recognized because each term is calculated as the previous term time a fixed constant called the common ratio (r).

The n-th term can be calculated as:

Where a1 is the first term and r is the common ratio.

We are not given a1, but we know the value of a2 and r, thus:

Or, equivalently:

Calculating:

Now calculate a9:

Calculating:

If a manufacturer manufactures 5,000 dozen of sweaters, and sells 3,000 dozen of them only, then the total profit he/she earns from the these sweaters is [1000(3x - 5y)], assuming that the cost of manufacturing one sweater is "x" and the selling price of that sweater is "y".

As per the question statement, a manufacturer miscalculates the demand of the market and manufactures 5,000 sweaters, but sold only 3000 of them.

We are required to calculate the total profit earned by the manufacturer from the sale of the sweaters.

Since, no data about the manufacturing cost of the sweaters and their selling price is provided in the question statement, let us assume that the cost of manufacturing one sweater is "x" and the selling price of that sweater is "y". Solving with these variables will give us a generalized answer which we can use for any value.

Now, Since assumed that, manufacturing cost of one sweater is "x", then, manufacturing cost of 5000 sweaters will be \((5000*x)=5000x\).

Similarly assumed that, selling cost of one sweater is "y", and then, selling cost of 3000 sweater will be \([(3000*y)=3000y]\).

Now, we know that,

[Profit = (Total Selling Cosy) - (Total Manufacturing Cost)],

Therefore, in this case, total profit from the sale of 3000 sweaters

\(=(3000y-5000x)\\=1000(3y-5x)\).

Now, on using real integers or numbers in place of "x" and "y", if the value of Profit comes negative, it will mean, that for those values of "x" and "y", the manufacturer makes loss, not profit.

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Using the proportional side rule for similar triangles, all the values of x can be found as below.

Similar triangles are triangles which has the same shape but different size.

The length of sides are proportional in similar triangles.

1) Side lengths of bigger triangle are 32 + x and 24 + 9 = 33.

Corresponding proportional sides of smaller triangles are 32 and 24 respectively.

Using proportion,

\(\frac{32+x}{32}\) = \(\frac{33}{24}\)

Cross multiplying,

(32 + x) 24 = 32 × 33

768 + 24x = 1056

4x = 288

x = 12

2) Side lengths of bigger triangle are 33 + x and 20 + 14= 34.

Corresponding proportional sides of smaller triangles are x and 14 respectively.

\(\frac{33+x}{x}\) = \(\frac{34}{14}\)

462 + 14x = 34x

20x = 462

x = 23.1

3) Side lengths of bigger triangle are 30 + x + 5 = 35 + x and 36.

Corresponding proportional sides of smaller triangle are 30 and 20 respectively.

\(\frac{35+x}{30}\) = \(\frac{36}{20}\)

700 + 20x = 1080

20x = 380

x = 19

4) Side lengths of bigger triangle are x + 8 + 2x - 5 = 3x + 3 and 20 + 22.5 = 42.5.

Corresponding proportional sides of smaller triangles are 2x - 5 and 22.5 respectively.

\(\frac{3x+3}{2x-5}\) = \(\frac{42.5}{22.5}\)

67.5x + 67.5 = 85x - 212.5

17.5x = 280

x = 16

5) Side lengths of bigger triangle are 2x+4 +4 = 2x + 8 and x+7+3 = x + 10.

Corresponding proportional sides of smaller triangles are 2x + 4 and x + 7 respectively.

\(\frac{2x+8}{2x+4}\) = \(\frac{x+10}{x+7}\)

(2x + 8) (x + 7) = (x + 10) (2x + 4)

2x² + 8x + 14x + 56 = 2x² + 20x + 4x + 40

22x + 56 = 24x + 40

2x = 16

x = 8

6) Side lengths of bigger triangle are 2x + 8 + 5x - 4 = 7x + 4 and 82.

Corresponding proportional sides of smaller triangles are 2x + 8 and 28 respectively.

\(\frac{7x+4}{2x+8}\) = \(\frac{82}{28}\)

196x + 112 = 164x + 656

32x = 544

x = 17

Hence the values of x in each of the triangles are found.

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Answer:

x = 3/2 or x = -1

Step-by-step explanation:

2x² - x - 3 = 0

2*(-3) = -6

Factors of -6:

(-1, 6), (1, -6), (-2, 3), (2, -3)

We need to find a pair that adds up to the co-eff of x which is (-1)

Factors :(2,-3)

2 - 3 = -1

so, 2x² - x - 3 = 0 can be written as:

2x² + 2x - 3x - 3 = 0

⇒ 2x(x + 1) -3(x + 1) = 0

⇒ (2x - 3)(x + 1) = 0

⇒ 2x - 3 = 0 or

x + 1 = 0

⇒ 2x = 3 or x = -1

⇒ x = 3/2 or x = -1