Which number is a reasonable estimate for 1519/49

Algebraically, the amount of money the insurance company will pay, represented as P, is equal to the total value of the stolen items (2b + t) minus the deductible (d).

Let's denote the amount of money the insurance company will pay as P. In this scenario, if the value of the stolen items is greater than the deductible, the insurance company will cover the loss, and Ron will receive compensation for the stolen items.

The total value of the stolen items can be calculated by adding the value of the bicycles (2b) and the value of the tools (t). So, the total value of the stolen items is 2b + t.

If the total value of the stolen items is greater than the deductible (d), then the insurance company will pay the difference between the total value and the deductible. Mathematically, this can be represented as:

P = (2b + t) - d

Therefore, algebraically, the amount of money the insurance company will pay, represented as P, is equal to the total value of the stolen items (2b + t) minus the deductible (d).

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Answer:

4

Step-by-step explanation:

- 14 + 30 / 4

16 / 4

16 ÷ 4

= 4

^-^

Answer:

4

Step-by-step explanation:

-2×7=-14

-2×15=-30

-14--30=16

16÷4=4

Answer:

Distance between school and home = 105 miles.

Step-by-step explanation:

Let distance = D miles

Time to take walking/jogging, t1 = D/6 hours

Time by car, t2 = D/35 hours

Average time, t

= (t1+t2)/2

= D(1/6+1/35)

= (D/210)(35+6)

=41D/210 hours

Given t = t1-3 hours

41D/210 - D/6 = 3

Solve for D

41D/210 - 35D/210 = 3

(41-35)D/210 = 3

6D/210 = 3

D = 3*210/6 = 105 miles.

(Appreciate very much Diana's efforts to walk/job 105 miles to school, and we understand how lucky we are in most of Europe and North America)

Answer:

1.4 U.S. Dollar

Step-by-step explanation:

Answer:

a=b

Step-by-step explanation:

When the denominator is zero, the expression is undefined

a-b=0

a=b

Answer:

12

Step-by-step explanation:

Solve for  x  by simplifying both sides of the equation, then isolating the variable.

Hope this helps! :D

The quadratic equation which is as represented in the graph and required to be determined is; y = -(x - 1) (x - 5).

It follows from the task content that the quadratic equation which correctly represents the given graph is to be determined.

Recall from the graph that the zeroes are at; x = 1 and x = 5.

Therefore, the equation will take the form;

y = a (x - 1) (x - 5)

To determine the value of a, the pair of coordinates; (2, 3) is used, where, x = 2 and y = 3.

Therefore, 3 = a (2-1) (2 - 5)

a = 3 / -3; a = -1.

Ultimately, the quadratic equation as required to be determined is; y = -(x - 1) (x - 5).

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Answer:

35

Step-by-step explanation:

perimeter = sum of the lengths of the sides

In a parallelogram, opposite sides are congruent.

Two sides have length 7.5 cm.

We need the length of the top and bottom sides.

area = base × height

62 cm² = base × 6.2 cm

base = (62 cm²)/(6.2 cm)

base = 10 cm

Two sides have length 10 cm.

perimeter = 7.5 cm + 7.5 cm + 10 cm + 10 cm

perimeter = 35 cm

When we multiply a fraction by a number, it is the same as multiplying the numerator by this number, therefore, our calculation can be rewritten as

The Value of CD from the second equation into the first equation:2AC = AB + OC + OD⇒ 2AC = AB + AB (By substituting OC = OA and OD = OB)⇒ 2AC = 2AB⇒ AC Therefore, AC is Congruent to c .

Since AC and BD bisect each other at O, we can say that AO = OC and BO = OD.

We need to prove that AC = CD.To do this, we can use the segment addition postulate which states that if a line segment is divided into two parts, the length of the whole segment is equal to the sum of the lengths of the two parts.

Let us draw a diagram to represent the given information:From the diagram, we can see that:AO + OB = AB (By segment addition postulate)OC + OD = CD (By segment addition postulate)AO = OC (Given)BO = OD (Given)

Now, we can substitute the values of AO and OC as well as BO and OD into the equations above:AO + OB = AB ⇒ OC + OB = AB (Substituting AO = OC)OC + OD = CDNow, we can add both equations:OC + OB + OC + OD = AB + CD ⇒ 2(OC + OD) = AB + CDWe know that OC = AO and OD = BO.

Therefore, we can write:2(AO + BO) = AB + CDSince AO = OC and BO = OD, we can write:2(OA + OD) = AB + CDNow, substituting AO = OC and BO = OD, we can write:2AC = AB + CD

Finally, we can substitute the value of CD from the second equation into the first equation:2AC = AB + OC + OD⇒ 2AC = AB + AB (By substituting OC = OA and OD = OB)⇒ 2AC = 2AB⇒ AC

Therefore, AC is congruent to c .

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Answer:

1-2x

Step-by-step explanation:

\((7+2x)-(4x+6)=7+2x-4x-6=1-2x\)

After answering the presented question, we can conclude that expressions Therefore, the population of the rural city in 2030 is approximately 11,014.18.

In mathematics, you can multiply, divide, add, or subtract. An expression is constructed as follows: Number, expression, and mathematical operator A mathematical expression is made up of numbers, variables, and functions (such as addition, subtraction, multiplication or division etc.) It is possible to contrast expressions and phrases. An expression or algebraic expression is any mathematical statement that has variables, integers, and an arithmetic operation between them. For example, the expression 4m + 5 has the terms 4m and 5, as well as the provided expression's variable m, all separated by the arithmetic sign +.

To approximate the population in 2030, we need to find the value of P(t) when t = 44, since 2030 is 44 years after 1986.

Using the given exponential growth model, we have:

\(P(t) = 3400^(0.0371t)\\P(44) = 3400^(0.0371*44)\\P(44) = 3400^1.6334\\P(44) = 11014.18\\\)

Therefore, the population of the rural city in 2030 is approximately 11,014.18.

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Answer: 55.6 or 55.60

Step-by-step explanation: Okay, so we have to add up all the numbers and divide by how many numbers there are, so we would add 50 + 52 + 71 (Including this outlier) + 54 + 51, to get 278. Now, since there are 5 numbers in the data set, we would divide 278 by 6, and you should get 55.6 or 55.60 (They are the same thing)

Answer:

Step-by-step explanation:

Total energy of the sandwich = 628kcal

Mass of fat contained = 36grams

Convert gram to kcal

1gram = 9kcal

36 grams = x

x = 36×9

x = 324kcal

Hence the fat contains 324kcal

%fat contained = fat(in kcal)/total calorie × 100%

%fat contained = 324/628 × 100%

%fat contained = 1/2 × 100%

%fat contained = 50%

Hence approximately 50% of the total energy is contributed by fat.

Answer:

x = 4 and y = 3

Step-by-step explanation:

You are looking for the value of x and y when: 2x - 3y = -1 and y = x - 1

Because you are given y in terms of x (the second equation given), substitute that into the first equation for y:

2x - 3y = -1 when y = x - 1

2x - 3(x - 1) = -1

expand left side:

2x - 3x + 3 = -1

combine x terms on left side:

-x + 3 = -1

subtract 3 from both sides:

-x + 3 - 3 = -1  - 3

-x = -4

divide both sides by -1:

-x/-1 = -4/-1

x = 4

now use x = 4 in one of the original equations to solve for y. For simplicity sake, we will use the second equation but the answer can also be found by substituting x = 4 into the first equation.

y = x - 1 when x = 4

y = 4 - 1

y = 3

Answer:

x = 4; y = 3

Step-by-step explanation:

2x - 3y = -1

y = x - 1

Copy the first equation.

Subtract x from both sides of the second equation and multiply both sides by 3. Write it below the first equation. Then add the equations eliminating y. Solve for x.

     2x - 3y = -1

+   -3x + 3y = -3

----------------------

      -x        = -4

x = 4

Now substitute 4 for x in the second original equation and solve for y.

y = x - 1

y = 4 - 1

y = 3

Answer: x = 4; y = 3

Answer:

-2 - 24i

Step-by-step explanation:

a + bi + (7 - 3i) + (5 + 9i) + 13i = 10 - 5i

a + bi + 7 + 5  - 3i + 9i + 13i = 10 - 5i

                a + bi  + 12  + 19i = 10 - 5i

                         a + bi          = 10 - 5i - 12 - 9i

                                 a + bi = 10 - 12 - 5i - 9i

                                 a + bi = -2 - 24i

Answer:

1st angle is 28° and the 2nd angle is 62°

Step-by-step explanation:

Complementary angles mean that the angles add up to 90 so:

2x - 2 + 5x - 13 = 90

7x - 15 = 90

7x = 90 + 15

7x = 105

x = 15

Plugging in:

2x - 2

2(15) - 2

30 - 2

28

5x - 13

5(15) - 13

75 - 13

62

Answer:

  (-∞, -3] or [-3, ∞)

Step-by-step explanation:

You want the largest domain interval(s) on which the function shown in the graph could be one-to-one.

A one-to-one function must pass the horizontal line test. That is, no horizontal line can intersect its graph in more than one place.

For that to be true of the given function, the interval on which it is defined cannot include values on both sides of x=-3, where the graph has a minimum. That is, the domain must be either x ≤ -3, or x ≥ -3, (or some subset of either of these).

The largest intervals on which the function has an inverse are ...

  (-∞, -3]  or  [-3, ∞)

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To make the given function one-to-one and have an inverse, we can restrict its domain to (-∞, a) or (a, ∞), where 'a' is the x-coordinate of the highest or lowest point on the graph.

To make the given function one-to-one and have an inverse, we need to restrict its domain. The largest domains, in interval notation, that can be used are: (-∞, a) or (a, ∞) where 'a' is the x-coordinate of the highest or the lowest point on the graph, depending on the function type.

If the graph has a highest point, the domain is restricted to (a, ∞), where 'a' is the x-coordinate of the highest point. If the graph has a lowest point, the domain is restricted to (-∞, a), where 'a' is the x-coordinate of the lowest point.

For example, if the graph has a highest point at (3, 5), the domain would be restricted to (3, ∞) to make the function one-to-one and have an inverse.

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The inverse demand function of the given demand function is p = 50 - q/2.

A graph that depicts the relationship between a product's price and demand is called a demand curve. On a demand graph, the horizontal axis represents the amount desired, while the vertical axis represents the product's price.

The price is a function of the quantity required when there is an inverse demand curve. The inverse of a demand curve indicates that variations in the amount required cause changes in price levels. The formula for calculating the demand curve for a product yields the graph of an inverse demand curve.

Given demand function: q = 100 - 2p.

To find the inverse demand function, we find the inverse of the equation, by isolating p, to get:

q = 100 - 2p,

or, 2p = 100 - q,

or, p = 100/2 - q/2,

or, p = 50 - q/2.

Thus, the inverse demand function of the given demand function is p = 50 - q/2.

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Answer:

x = 7.69

Step-by-step explanation:

We need to solve the given problem. It is as follows :

175+14.25x=200+11x

Here, x is a variable. We can take on one side of an equation and constants to the other side such that,

14.25x-11x = 200-175

3.25x=25

x = 25/3.25

x = 7.69

Hence, the solution of the given equation is 7.69.

The dataset represented by the given box plot is 12, 15, 15, 17, 19, 19, 20, 22, 24 option B.

A box plot, sometimes called a box whisker plot, shows the distribution of a dataset graphically. The minimum value, the first quartile (25th percentile), the median (50th percentile), the third quartile (75th percentile), and the maximum value are the five main values used to standardise this method of displaying the distribution of data.

Two whiskers that extend from a rectangular box make up a box plot. The range of values between the first and third quartiles is represented by the box, which is known as the interquartile range (IQR).

From the given box plot we observe that the minimum value is 12 and the maximum value is 24.

Here, the median is 19.

From the information the two data set that have the corresponding values are:

12, 15, 15, 17, 19, 19, 20, 22, 24

12, 15, 17, 17, 19, 19, 22, 22, 24

The lower quartile is 15.

The upper quartile is 21.

Calculating the lower quartile for the data sets:

12, 15, 15, 17, 19, 19, 20, 22, 24

Lower quartile = 15

Hence, the dataset represented by the given box plot is 12, 15, 15, 17, 19, 19, 20, 22, 24 option B.

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Part 2.

He wants to make a different array with the same nuber of dots (30 dots).

He can make an array with a number of rows that are multiples of 30: 2, 3, 5, 6, 10 and 15.

Then, he can use an array with 3 rows and an array of 10 rows, but he can not use an array with 4 rows.

Then, the solution is:

an array with 3 rows: Yes

an array with 4 rows: No

an array with 10 rows: Yes

-14 is less than 16. All negative numbers are less than positives!

The slope of the line passing through the points (-6, 1) and (8, -7) is -4/7.

Slope is simply expressed as change in y over the change in x.

Slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given the data in the question;

Point A: ( -6,1 )

x₁ = -6

y₁ = 1

Point B: ( 8,-7 )

x₂ = 8

y₂ = -7

Now, plug the given x and y values into the slope formula above and simplify:

\(Slope\ m = \frac{y_2 - y_1}{x_2 - x_1} \\\\Slope\ m = \frac{-7 - 1}{8 - (-6)} \\\\Slope\ m = \frac{-7 - 1}{8 + 6} \\\\Slope\ m = \frac{-8}{14} \\\\Slope\ m = -\frac{4}{7}\)

Therefore, the slope of the line is -4/7.

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Without explicitly solving for x, we can conclude that the solution to the equation 2^x - 2 = 8^4 is x = 12.

To solve the equation 2^x - 2 = 8^4 without explicitly solving for x, we can simplify the equation using exponent rules and observe the relationship between the numbers.

First, let's simplify the equation:

2^x - 2 = 8^4

We know that 8 can be expressed as 2^3, so we can rewrite the equation as:

2^x - 2 = (2^3)^4

Applying the exponent rule (a^m)^n = a^(mn), we can simplify further:

2^x - 2 = 2^(34)

Simplifying the right side of the equation:

2^x - 2 = 2^12

Now, we can observe that both sides of the equation have the same base, which is 2. In order for the equation to hold true, the exponents must be equal:

x = 12

Therefore, we may deduce that the answer to the equation 2x - 2 = 84 is x = 12 without having to explicitly solve for x.

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Answer:

Hypotenuse = 32.0

Explanation:

We were given a right angle with the following:

We have one know side, one known angle & one unknown side. To obtain the value of the unknown side, we will use the Trigonometric Ratio (SOHCAHTOA). In this case, we will use "SOH" as shown below:

Therefore, the hypotenuse is 32.0

Wage for Week: $  238.13

FICA Tax (7.05%): $  16.79

Federal Tax (from Table): $  35.20

State Income Tax (at 1.5%): $  3.57

City Income Tax (3.2%): $  7.62

Total Tax:   $  63.18

Paycheck after Taxes: $  174.95

Answer:

quadratic

y=mx+c

Step-by-step explanation: