Mariano tosses a quarter into a wishing well. The top of the well is represented by 0 feet. The location of the quarter after the fall is represented by -22 feet. How far did the quarter fall?

It needs to do that route I guess. But I don't understand the last question well.

Answer: 22 tulips

Step-by-step explanation:

2 + 1 = 3

3 goes into 33 11 times, so you multiply each value by 11

2 * 11 = 22 tulips

22 tulips to 11 roses is 2:1 ratio

The simplified sum of the second and forth integers are; -1 + 5 = 4

An integer is defined as a whole number that can be positive, negative, or zero. Examples of integers are: -7, 2, 9, 18, 125, and 9803

Now, we are given the consecutive integer sequence as;

x, 1, 3, 5

Now, since the integers are consecutive, then the common difference is the same. Thus;

1 - x = 3 - 1

1 - x = 2

x = 1 - 2

x = -1

Sum of first and fourth term = -1 + 5 = 4

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Answer:

d. [tex]\csc x +\cot x[/tex]

Step-by-step explanation:

[tex]\frac{\sin x}{1-\cos x}=\frac{\sin x(1+\cos x)}{1-\cos^2 x}=\frac{\sin x(1+\cos x)}{\sin^2 x}=\frac{1+\cos x}{\sin x}=\csc x+\cot x[/tex]

Answer:

  2000/17 = 117 11/17 miles

Step-by-step explanation:

You want to know the number of miles of a 250-mile trip that are not downhill if 9/17 of the trip is downhill.

The fraction that is not downhill is the difference between the fraction representing the whole trip, and the fraction that is downhill:

  [tex]\dfrac{17}{17}-\dfrac{9}{17}=\dfrac{17-9}{17}=\dfrac{8}{17}[/tex]

That fraction of the total trip miles is ...

  (8/17) · (250 mi) = (8·250)/17 mi = 2000/17 mi = 117 11/17 mi

The number of miles not downhill was 2000/17 or 117 11/17 miles.

Answer:

$5.46

Step-by-step explanation:

To calculate tax, you multiply 5.20 by 1.05

You multiply by 1.05 because this represents an increase in price

This equals 5.46 dollars

Answer:

a. The purchase price of the estate is $1,246,500 x 95% = $<<124650095.01=1182975>>1,182,975.

b. The amount of the down payment is $1,182,975 x 30% = $<<118297530.01=354452.5>>354,452.5.

c. The amount of the mortgage loan is $1,182,975 - $354,452.5 = $<<1182975-354452.5=828492.5>>828,492.5.

Step-by-step explanation:

The ratio would be 5:3

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity. Ratios can be classified into two types. One is part to part ratio and the other is part to whole ratio. The part-to-part ratio denotes how two distinct entities or groups are related.

5 feet to 36 inches

converting feet to inches

1 foot = 12 inches

Therefore, 5 feet = 5x12

5 feet = 60 inches

60 inches : 36 inches

Finding the lowest possible terms

5 inches : 3 inches

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By using integers to represent the information, Death Valley will be -282 and Mount Mckinley is 20320.

From the information, death valley california has the lowest point in the united states. its elevation is 282 feet below sea level.

Mount mckinley alaska has the highest point in the united states and it's elevation is 20,320 feet above sea level.

It should be noted that by using integers, Death Valley is the lowest point. This will have a negative sign and will be -282. Mount McKinney will be +20320

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Answer:

4,606

Step-by-step explanation:

(327 x 14) +28  Product is the answer in multiplication

4578 + 28

4606

Part A: The weekly gross pay with overtime above 40 hours is as follows:

Part B: The gross pay per pay period is as follows:

Gross pay refers to the total earnings before taxable deductions and taxes are removed.

The gross pay per week entails a total paycheck of 52 since there are approximately 52 weeks in a year.

There are 12 months in a year and 26 biweekly payments annually.

Semimonthly payments are made on two set dates in a month, which translates to 24 payments annually.

PART A: Weekly Gross Pay:

1) Hourly rate = $9.90

Total hours worked = 34

Gross pay = $336.60 ($9.90 x 34)

2) Hourly rate = $14.36

Total hours worked = 40

Gross pay = $574.40 ($14.36 x 40)

3) Hourly rate = $12.75

Total hours worked = 45

= ($12.75 x 40 + 5 x $12.75 x 1.5)

= ($510 + $95.625)

Gross pay = $605.625

4) Hourly rate = $13.40

Total hours worked = 51

= ($13.40 x 40 + 11 x $13.40 x 1.5)

= ($536 + 221.10)

Gross pay = $757.10

PART B: Gross Pay Per Pay Period:

5. Annual Salary = $26,805

Pay period = weekly

Number of paychecks = 52

Gross pay per week = $515.48 ($26,805/52)

6. Annual Salary = $49,000

Pay period = monthly

Number of paychecks = 12

Gross pay per month = $4,083.33 ($49,000/12)

7. Annual Salary = $53,278

Pay period = biweekly

Number of paychecks = 26 (52/2)

Gross pay per paycheck = $2,049.15 ($53,278/26)

8. Annual Salary = $32,450

Pay period = semimonthly

Number of paychecks = 24 (1st and 15th)

Gross pay per paycheck = $1,352.08 ($32,450/24)

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The solution set for the inequality given in the task content as required is; w > -1.2.

The graph of the inequality on the number line is as represented in the attached image.

It follows from the task content that the graph of the inequality w - 0.9 > -2.1 as required is to be determined.

Since the given inequality is; w - 0.9 > -2.1.

The inequality can be solved by first adding 0.9 to both sides of the inequality; Additive property of inequalities;

w - 0.9 + 0.9 > -2.1 + 0.9.

w > -1.2.

On this note, the correct ray is that which points rightwards with an open ring (indicating the > sign).

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The solution of the inequality is graphed in the number line and attached

Inequality, is a mathematical statement expressing an order relationship between two numbers or algebraic expressions, such as greater than, greater than or equal to, less than, or less than or equal to.

Solid dot and hollow dot in inequality

A region on one side of a line can be used to graphically show an inequality.

For the purpose of indicating that a line is not a part of the region, inequality plots that employ the < or > symbols have a hollow dot

Plotting a solid dot indicates that an inequality that uses the symbol  ≤ or ≥ is included in the region.

In the problem, w - 9 > -2.1 will use a hollow dot

w - 0.9 > -2.1

w > -2.1 + 0.9

w > -1.2

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Is the ordered pair (6,4) a solution to the inequality y > -1/2 x + 7: D. No, because (6,4) is on the line.

In order to determine if this ordered pair (6, 4) is a true solution based on the given linear inequality, we would have to test the ordered pair by substituting their values into the linear inequality as follows;

For ordered pair (6, 4), we have the following:

y > -1/2x + 7

4 > -1/2 × (6) + 7

4 > -3 + 7

4 > 4 (False).

In this context, we can reasonably infer and logically conclude that the ordered pair (6, 4) is not a true solution for the given linear inequality because it is located on the line.

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39) a and b here are Adjacent Angles.

40) a and b here are Adjacent Angles.

41) a and b here are Complementary Angles.

42) a and b here are Alternative Interior Angles.

The following requirements must be met for two angles to be adjacent.

On the other hand, when a transversal connects two coplanar lines, alternate interior angles are generated. They are on the inside of the parallel lines, but on the outside of the transversal.

It is worth noting that Alternate Interior Angles are congruent.

Mathematically, two angles are called complementary IF their measures SUM to 90 degrees.

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Answer: To find the answer, I first understood that the first number is a product of two factors and the second number is the sum of those two factors.

So, I started by listing out all the factors of the first number which is 16. The factors of 16 are 1, 2, 4, 8, 16.

Then I looked for a pair of factors from the list whose product is 16 and sum is 10.

I found the pair (4, 6) which satisfies the condition.

So, I confirmed that 4 x 6 = 16 and 4 + 6 = 10.

Step-by-step explanation:

Graph of function f(4x) is a parabolic shape having the x value = {1, 2, 3, 0, -1, -2, -3} and y value = {17, 65, 145, 1, 17, 65, 145}

In mathematics, a function is an expression that describe a relationship between an independent variable and dependent variable in a symbolic form.

we are given, f(x) = x² + 1

let y = f(x)

if we put 4x instead of x we get function of f(4x) = (4x) ²+1

                                                             y =     f(4x) = 16 x² +1

for different input value of x, we get different output value of y

such as x=1, 2, 3, -1, -2, -3 ,0

we get f(4x) = y = 17, 65, 145, 17, 65, 145, 1

if we put the x and y values on the XY coordinate system we will get a parabolic curve.

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Answer: 7.5 minutes

Step-by-step explanation:

Hello Dear,

Could you send a better explained question?

Thanks!

Answer:

To perform a dilation with a scale factor of 2, we multiply the x and y coordinates of each vertex by 2.

R(1,3) becomes R'(2,6)

S(4,3) becomes S'(8,6)

T(3,1) becomes T'(6,2)

U(2,1) becomes U'(4,2)

To perform a translation of 2 units down, we subtract 2 from the y-coordinates of each vertex.

R'(2,6) becomes E(2,4)

S'(8,6) becomes F(8,4)

T'(6,2) becomes G(6,0)

U'(4,2) becomes H(4,0)

So, the image of trapezoid RSTU after a dilation with a scale factor of 2, followed by a translation of 2 units down is trapezoid EFGH, with vertices E(2,4), F(8,4), G(6,0), and H(4,0).

Answer:

What grade is this ? I can help you

Answer:

Step-by-step explanation:

answer: 50

Okay so we need to find ABC, which is 2x, and we know the angles of a triangle all add up to 180.

To find angle C you must subtract the exterior angle from the total of the line, 180.

C = 180-145

C = 35

So now we have 3 elements, 95, 2x, and 35, and we know they all add up to 180 degrees.

95+35+2x=180

130+2x=180

50=2x

2x is the angle of ABC, so it's 50 degrees

Answer:

[tex]\frac{1}{10x^{3} }[/tex] or [tex]\frac{1}{\\1000x^{3} }[/tex]

Step-by-step explanation:

To make the exponent positive, you put it over 1.

Answer:

A.

A math error was made when computing the total shipments for day 4.

Answer:

Step-by-step explanation:

Given various quadrilaterals with side lengths marked, you want specific side lengths.

Opposite sides of the parallelogram are the same length, so ...

  5x -18 = 2x +12

  3x = 30 . . . . . . . . . add 18-2x

  x = 10

  DA = 3x -6 = 3·10 -6 = 24

All of the sides of a rhombus are the same length, so ...

  3p -6 = 2p +9

  p = 15 . . . . . . . . . . . add 6-2p

  GS = 2p+9 = 2·15 +9 = 39

The perimeter is the sum of the side lengths.

  46 = (x +8) +(2x +1) +(3x -6) +(4x -7)

  46 = 10x -4

  50 = 10x

  5 = x

Then the side lengths are ...

The length of the shortest side is 9 inches.

__

Additional comment

The attachment shows a graphical solution to the third problem. The lines y1–y4 are the side lengths as a function of x. The black line finds the value of x that makes the perimeter be 46. That value is 5. The vertical line at x = 5 intersects the other lines at their side length values. The bottom of these is the shortest side length: 9 inches when x=5.

Answer:

27.551%

Step-by-step explanation:

based on the given conditions ,formulate:

(1000x1.25-980)divide by 980

calculate the product or quotient :

1250 - 980 over 980 calculate the sum which would be 270 over 980

we gon cross out the common factor 27 over 98

rewrite the fraction as a decimal = 0.27551

multiply a number to both the numeration and denominator : 0.27551 x 100 over 100

now write as a single fraction  0.27551 x 100 / 100

calculate the product = 27.551 over 100

rewrite the fraction with denominator equals 100 to a presantage = 27.551

the total cost to fill up half of the tank will be $20.25.

What is the arithmetic operation?

The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or more quantities. Included in them is the study of numbers, especially the order of operations, which is important for all other areas of mathematics, including algebra, data management, and geometry. The rules of arithmetic operations are required in order to answer the problem.

For 500 miles the car consumes 60 gallons of gas.

The capacity of the tank is 13.5 gallons.

Filling up half of the tank will require 6.75 gallons of gas.

The cost of a gallon of gas is $3.

So the total cost will be 6.75*3 = $20.25

Hence, the total cost to fill up half of the tank will be $20.25.

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Answer:

50 in

Step-by-step explanation:

(1)

[tex]area \: of \: the \: whole \: circle \: = \pi {r}^{2} [/tex]

= 22 × 5 ×5

7

= 78.57

(2)

[tex]area \: of \: the \: unshaded \: circle \: = \pi {r}^{2} [/tex]

= 22 × 3 ×3

7

= 28.28

(1) - (2) = Area of shaded circle

= 78.57 - 28.28

= 50.29

The only option that represents independent events is;

D. Teacher prefers coffee; Teacher teaches social studies

Independent events are defined as those events whose occurrence are not dependent on any other event. For example, when we flip a coin in the air and get the outcome as Head, then again if we flip the coin but this time we get the outcome as Tail.

Now, we see the table showing drink preferences for teachers in a high school.

Now, from the table, the row that has the highest total will be an independent event while the column that has the highest total will be an independent event.

Thus, we see that the column that has the highest total is coffee while the rows that have the highest total are english and social studies.

The only option with both combination is option D which is correct.

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Answer: Slavery

Step-by-step explanation:

The output for x = 0, is 2.

The output for x = 0, is 2.

The output for x = 0, is 2.

The output for x = 0, is 2.

An input-output table is a table that shows the relationship between sets of numbers that always follow the same rule. Input-output tables can be very complex (with several math operations) or simple (with just one math operation).

Given the equation

output = x+2

If input x = 0

output = 0+2 = 2

If input x = 1

output = 1+2 = 3

If input x = 2

output = 2+2 = 4

if input x = 3

output = 3+2 = 5

Hence for the every value x in the table the output will be 2, 3, 4, 5 respectively.

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