Jane is asked to buy some chickens, dogs and ducks for her farm. The total number of animals she needs to buy is 50. She has a budget of $1500 to spend on $20/chicken, $50/dog, and $30/duck. Additionally, the number of chickens should be equal to that of ducks. Create a system of 3 equations to model the situation. Assume the number of chickens is x, dogs is y and ducks is z.

Answer:

0.2241 ; 0.9437

Step-by-step explanation:

Number of independent normal observations = 55

Mean(m) = 100

Variance of first 50 = 76.4

Variance of last five = 127

Probability that first observation is between 98 and 103

Zscore = x - m / sqrt(v)

For x = 103

Zscore = (103 - 100) /sqrt(76.4) = 0.34

For x = 98

Zscore = (98 - 100) / sqrt(76.4) = - 0.23

P(Z < - 0.23) = 0.4090

P(Z < 0.34) = 0.6331

0.6331 - 0.4090 = 0.2241

B) 1/n²Σ[(X1.V1) + (X2. V2)]

1/55²[(50*76.4) + (5*127)]

1/55² [3820 + 635]

1/55² [4455]

4455/3025

= 1.4727

Hence, variance of entire sample = 1.4727

X = 98 and 103

Zscore = x - m / sqrt(v)

For x = 103

Zscore = (103 - 100) /sqrt(1.4727) = 2.47

For x = 98

Zscore = (98 - 100) / sqrt(1.4727) = - 1.65

P(Z < - 1.65) = 0.0495

P(Z < 2.47) = 0.9932

0.9932 - 0.0495 = 0.9437

Answer:

  -64

Step-by-step explanation:

Undo the cube root by cubing both sides.

  (∛x)^3 = (-4)^3

  x = -64

Answer:

1. 4x ≤ 25

⇒ x ≤ 6.25

2. x + 4 < 25

⇒ x < 21

3. x + 4 ≥ 25

⇒ x ≥ 21

4. 4 + x ≤ 25

⇒ x ≤ 21

Step-by-step explanation:

1. 4x ≤ 25

⇒ x ≤ 6.25

2. x + 4 < 25

⇒ x < 21

3. x + 4 ≥ 25

⇒ x ≥ 21

4. 4 + x ≤ 25

⇒ x ≤ 21

Answer:

Answer is E but not 100%

Step-by-step explanation:

Answer:

A is correct

E shows an error as the first two values are identical so one cannot be greater than the other.

Step-by-step explanation:

A shows 2.69 is equal to 2.696 which is more than 2.696 which is more than 2.696 which is more than 2.696

As when;

2.696 repeats in bold = 2.696969696  1st greatest

2.696 repeats in bold = 2.696696696 2nd in highest value so 2nd in order.

2.696 repeats in bold = 2.696666666 3rd in highest value so 3rd in order.

2.696 does not repeat = 2.696 so is the least greatest from the list.

A percentage is a way to describe a part of a whole. The amount of your profit is $29.86. The percent of profit, based on your investment is 58.12%.

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

The cost of buying 72 shares is $(411/8) = $51.375

The cost of selling 72 shares is $(491/4) = $122.75

The total brokerage fees = $(1/8 × 72) = $9

All other charges amounted = $32.52

The profit is,

Profit = $122.75 - $51.375 - $9 - $32.52

          = $29.855 ≈ $29.86

Hence, the amount of your profit is $29.86.

B.) The percent of profit, is based on your investment.

Since the investment is the cost of purchasing the share, therefore, the percent of profit, based on your investment can be written as,

Profit % = $29.86 /$51.375 × 100% = 58.12%

hence, The percent of profit, based on your investment is 58.12%.

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The given quadrilaterals, 1 and 2,  are parallelograms because the pair of opposite sides are parallel and the other pairs are congruent.

3. According to Theorem 7.9, quadrilateral ABCD is a parallelogram.

4. According to Theorem 7.12, quadrilateral PQRS is a parallelogram.

3. Quadrilateral ABCD with vertices A(0,0), B(7,1), C(5,6), D(-2,5), and Theorem 7.9:

Theorem 7.9 states that if the opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram.

Using the distance formula, we can calculate the lengths of the sides of quadrilateral ABCD:

AB = √((7 - 0)² + (1 - 0)²) = √50

BC = √((5 - 7)² + (6 - 1)²) = √29

CD = √((-2 - 5)² + (5 - 6)²) =√50

DA = √((0 - (-2))² + (0 - 5)²) = √29

We can see that AB = CD and BC = DA, indicating that the opposite sides are congruent.

Quadrilateral PQRS with vertices P(-2,0), Q(3,1), R(4,4), S(-1,3), and Theorem 7.12:

Theorem 7.12 states that if both pairs of opposite sides of a quadrilateral are parallel and congruent, then the quadrilateral is a parallelogram.

Using the slope formula, we can calculate the slopes of the sides of quadrilateral PQRS:

Slope of PQ = (1 - 0) / (3 - (-2)) = 1/5

Slope of RS = (4 - 3) / (4 - (-1)) = 1/5

Slope of QR = (4 - 1) / (4 - 3) = 3

Slope of SP = (3 - 0) / (-1 - (-2)) = 3

The lengths of opposite sides can be calculated using the distance formula:

PQ = √((3 - (-2))² + (1 - 0)²) = √(25 + 1) = √26

RS = √((4 - 4)² + (4 - 1)²) = √(9) = 3

QR = √((4 - 3)² + (4 - 1)²) = √(1 + 9) = √10

SP = √((-1 - (-2))² + (3 - 0)²) = √(1 + 9) = √10

We can see that PQ = RS and QR = SP, indicate that the opposite sides are parallel and congruent.

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To solve the savings plan balance, we have to calculate the interest for 19 months. The formula for calculating interest for compound interest is given below:$$A = P \left(1 + \frac{r}{n} \right)^{nt}$$where A is the amount, P is the principal, r is the rate of interest, t is the time period and n is the number of times interest compounded in a year.

The given interest rate is 11% per annum, which will be converted into monthly rate and then used in the above formula. Therefore, the monthly rate is $r = \frac{11\%}{12} = 0.0091667$.

The monthly payment is $PMT = $250. We need to find out the amount after 19 months. Therefore, we will use the formula of annuity.

$$A = PMT \frac{(1+r)^t - 1}{r}$$where t is the number of months of the plan and PMT is the monthly payment. Putting all the values in the above equation, we get:

$$A = 250 \times \frac{(1 + 0.0091667)^{19} - 1}{0.0091667}$$$$\Rightarrow

A = 250 \times \frac{1.0091667^{19} - 1}{0.0091667}$$$$\Rightarrow

A =250 \times 14.398$$$$\Rightarrow A = 3599.99$$

Therefore, the savings plan balance after 19 months with an APR of 11% and monthly payments of $250 is $3599.99 (approx).

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When 'x' is 5, the Algebraic  expression 3x - 4 evaluates to 11.

To find the algebraic expression for "4 less than the product of 3 and some number," let's break it down step by step.

First, let's define the unknown number as 'x.' Since the problem states "the product of 3 and some number," we can express this as 3 * x or simply 3x.

Next, we want to subtract 4 from this product. The phrase "4 less than" indicates subtraction, so we subtract 4 from 3x. This can be represented as 3x - 4.

In summary, the algebraic expression for "4 less than the product of 3 and some number" is 3x - 4, where 'x' represents the unknown number.

To calculate the value of this expression for a specific value of 'x,' you substitute that value into the expression and simplify. For example, if 'x' is 5, you would substitute 5 into the expression:

3(5) - 4

This simplifies to:

15 - 4 = 11

So, when 'x' is 5, the expression 3x - 4 evaluates to 11.

In general, the algebraic expression allows us to represent a mathematical relationship between quantities using symbols and operations. By substituting specific values into the expression, we can calculate the corresponding results.

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Note the complete question:

Algebraic expression for 4 less than the product of 3 and some number

What is the algebraic expression for "4 less than the product of 3 and some number?

Please help me understand the meaning of how to calculate.

Answer:

B) 38.7

Step-by-step explanation:

Answer:

A) 36.9

Step-by-step explanation:

took the test :)

The solution to the inequality is -3 ≤ x ≤ -1/3

Given the inequality:

4|3x+5| ≤ 16

Let us simplify it by dividing both sides by 4 to get:

|3x+5| ≤ 4

Next, we can break the inequality into two cases, depending on whether 3x+5 is positive or negative:

First: 3x+5 ≥ 0

In this case, the inequality simplifies to:

3x+5 ≤ 4

Subtracting 5 from both sides, we get:

3x ≤ -1

Dividing by 3 (which is positive) gives:

x ≤ -1/3

Second: 3x+5 < 0

In this case, the inequality simplifies to:

-3x-5 ≤ 4

Adding 5 to both sides, we get:

-3x ≤ 9

Dividing by -3 (which is negative and requires us to flip the inequality), gives:

x ≥ -3

Therefore, the solution to the inequality is:

-3 ≤ x ≤ -1/3

The interval [-3,-1/3] is the solution set, and it includes all values of x between -3 and -1/3, including the endpoints.

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Answer:

Step-by-step explanation:

35.26    rounded to  35.3

8.32   rounded to        8.3

6.78    rounded to       6.8

35.3 + 8.3 = 43.6

43.6 + 6.8 = 50.4

The answer is 50.4.

39.26 rounds to 35.3

8.32 rounds to 8.3

6.78 rounds to 6.8

When you add them together, you get 50.4.

Answer:

15 squares

Step-by-step explanation:

60/100 * 25 = 15

The sinusoidal relationship for the image is y = 0.5 · (1 - 1) + 0.5 · [1 - (- 1)] · sin (x + 45°).

In this problem we find a sinusoidal relationship repsented in image set aside. Sinusoidal relationships are represented by the following formula:

y = 0. 5 · (M + m) + 0.5 · (M - m) · sin (x + φ)

Where:

If we know that m = - 1, M = 1 and φ = 45°, then the sinusoidal relationship is:

y = 0.5 · (1 - 1) + 0.5 · [1 - (- 1)] · sin (x + 45°)

The sinusoidal relationship is y = 0.5 · (1 - 1) + 0.5 · [1 - (- 1)] · sin (x + 45°).

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Using the cosine ratio, the distance between Dimitri and Sarah is calculated as approximately 12.4 m.

The cosine ratio is a trigonometric ratio that represents the ratio of the length of the adjacent side to the length of the hypotenuse in a right triangle. It is calculated by dividing the length of the adjacent side by the length of the hypotenuse.

Using the cosine ratio, we have:

Reference angle (∅) = 72 degrees

Hypotenuse length = 40 m

Adjacent length = distance between Dimitri and Sarah = x

Plug in the values:

cos 72 = x/40

x = cos 72 * 40

x ≈ 12.4 [to one decimal place]

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plss take a pic of your quistion

Step-by-step explanation:

I cant understand plss

Answer:

1123

Step-by-step explanation:

23 * 45 = 1035

1035 + 96 = 1131

1131 - 8 = 1123

Answer:

The answer is 1123

Step-by-step explanation:

First do 23x45 which will get you 1035 and add that to 96 which will get you 1131 and subtract 8 and thats how you get 1123

Thanks!

Answer:

14 is less than 98

Step-by-step explanation:

98 is more than 14 so it's less than 14

Answer: The area of a rhombus can be calculated using the formula:

A = (base x height) / 2

Substituting the given values, we get:

A = (17 in x 14 in) / 2

A = 119 sq in

Therefore, the area of the rhombus is 119 square inches.

Hence, the answer is option B, 119 in2.

Step-by-step explanation:

The area of the rhombus is 238 square inches.

To find the area of a rhombus, you can use the formula: Area = base * height.

In this case, the base of the rhombus is 17 inches and the height is 14 inches. Plugging these values into the formula, we get Area = 17 * 14 = 238 square inches.

Therefore, the area of the rhombus is 238 square inches.

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The domain and range for the function shown in the graph above include the following:

D. D: [-∞, ∞]

    R: [-10, ∞]

In Mathematics and Geometry, a domain refers to the set of all real numbers (x-values) for which a particular function (equation) is defined.

In Mathematics and Geometry, the horizontal portion of any graph is used to represent all domain values and they are both read and written from smaller to larger numerical values, which simply means from the left of any graph to the right.

By critically observing the graph shown in the image attached above, we can reasonably and logically deduce the following domain and range:

Domain = [-∞, ∞] or all real numbers.

Range = [-10, ∞] or y ≥ -10

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Answer:

C

Step-by-step explanation:

trust me c is the correct answer

Answer:

0.40(80) --> markup of 40%

80 + 0.40(80) --> sale price after markup of 40%

0.25(80) --> discount of 25%

80 - 0.25(80) --> sale price after a discount of 25%

Explanation:

If we want to know how much is a markup of 40% over the price of $80, we need to multiply 0.4 by 80, so:

0.40(80) represents a markup of 40%

Then, the final price with this markup can be calculated as the sum of the initial price and the markup, so:

80 + 0.40(80) represents the sale price after markup of 40%

On the other hand, if we want to make a discount of 25%, we first need to calculate the discount as 0.25 times the price, so:

0.25(80) represents the discount of 25%

Then, the final price after the discount will be the initial price less the amount that you will discount, so:

80 - 0.25(80) represents the sale price after a discount of 25%

So, the answers are:

0.40(80) --> markup of 40%

80 + 0.40(80) --> sale price after markup of 40%

0.25(80) --> discount of 25%

80 - 0.25(80) --> sale price after a discount of 25%

Answer:

380 seconds

Step-by-step explanation:

Convert 6 minutes to seconds by multiplying 6 times 60, because there are 60 seconds per minute.
6 x 60 = 360

Now add the 20 seconds.
360 + 20 = 380

6 minutes and 20 seconds are equal to 380 seconds.

Answer:

Given sequence is an arithmetic sequence.

Step-by-step explanation:

Given sequence is:

125, 25, 5, .. ..​

Here

\(a_1 = 125\\a_2 = 25\\a_3 = 5\)

Finding the common ratio

\(r = \frac{a_2}{a_1} = \frac{125}{25} = 5\\r = \frac{a_3}{a_2} = \frac{25}{5} = 5\)

As we can see that the common ratio is same, the given sequence is a geometric sequence.

Answer:

this is a geometric sequence and the common ratio is equal to 1/5.

Step-by-step explanation:

Answer:   Mean:4   Median:5    Mode:5,2

Step-by-step explanation:

Answer:

y = 1/2 x - 5

Step-by-step explanation:

y = mx + b

The graph is crossing the y axis at the point (0,-5)  We say that the graph crosses the y axis at -5.  That is the b part of the equation.

Say you can only move vertically and horizontally on the graph.  If you start at the point (0,-5) and move up one space and to the right 2 spaces, you are back on the line again.  This is the slope.

It is the rise over the run or the change in y over the change in x.  Our y's change by 1 as our x's change by 2.

Answer:

Step-by-step explanation:

This is a problem of ratios:

Set the problem up with matching similar side lengths equal:

50/10 = x/12

First simplify the left side:

50/10 = 5

Next, multiply both sides by 12.

We are left with:

x = 12(5)

x = 60

Answer:

3(3x+7)

Step-by-step explanation:

Answer:

5.14 is irrational

Step-by-step explanation:

This is irrational because it is a decimal and/or a fraction, and a rational number is a whole number such as 1, 7, 32.