While traveling to Europe, Phelan exchanged 250 US dollars for euros. He spent 150 euros on his trip. After returning to the United States he converts his money back to US dollars. How much of the original 250 US dollars does Phelan now have? Round to the nearest cent.
1 European euro = 1.3687 US dollars
44.70 US dollars
73.06 US dollars
136.87 US dollars
140.41 US dollars

Answer:

two numbers are 37 and 20

Step-by-step explanation:

x+y=57

let x be the smaller number

y=x+17

x + x+17=57

2x=57-17

2x=40

x=20

y=x +17

y=20+17

y=37

Answer:

20

Step-by-step explanation:

good luck!!

Answer:

24 or 20

Step-by-step explanation:

Solving the system of equations 5x + 9y = 104x - 3y = 8 and  using elimination, x is 2 and y is 0.

The elimination approach involves taking one variable out of the system of linear equations by utilizing addition or subtraction together with multiplication or division of the variable coefficients. The addition property of equality is used in the elimination technique to solve systems of linear equations. The same value can be added to both sides of an equation. You can therefore add x + y to the left side of the first equation and add 8 to the right side of the equation if your system is x - 6 = 6 and x + y = 8.

Given,

Equation A: 5x + 9y = 10

Equation B: 4x - 3y = 8

Solving the system of equations using elimination,

Multiplying equation B by 3

5x + 9y = 10

12x - 9y = 24

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

17x = 34

x = 2

Equating x = 2 in equation 2

4x - 8 = 3y

4(2) - 8 = 3y

y = 0

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One angle measure provided (27 degrees), to determine the lengths of the sides or the measures of the other Angles.

The triangle, we need more information about the triangle, such as the lengths of the sides or the measures of other angles. The given information, "27 degrees," only specifies one angle of the triangle, but it is not sufficient to solve the triangle completely.

To solve a triangle, we typically need at least three pieces of information, which can include side lengths, angle measures, or a combination of both. With only one angle measure provided (27 degrees), we are unable to determine the lengths of the sides or the measures of the other angles.

To fully solve the triangle, we would need additional information such as the lengths of the sides or measures of at least two more angles. Without this additional information, it is not possible to provide a complete solution or determine the lengths of the sides or the measures of the other angles in the triangle.

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Answer:

There are two main "slices" of a circle: The "pizza" slice is called a Sector. And the Segment, which is cut from the circle by a "chord" (a line between two points on the circle).

Step-by-step explanation:

Answer: \(5\frac{9}{10}\) or \(\frac{59}{10}\) or 5.9

Step-by-step explanation:

Hey there, if you have any questions feel free to leave them in the comments below.

Step 1: Add the whole numbers first.

5 + \(\frac{1}{2}\) + \(\frac{2}{5}\)

Step 2: Find the Least Common Denominator of \(\frac{1}{2} , \frac{2}{5} .\) In simpler words, find the Least Common Multiple of 2, 5.

LCD = 10

Step 3: Have it so the denominators the same as the LCD.

5 + \(\frac{1 * 5}{2 * 5}\) + \(\frac{2 * 2}{5 * 2}\)

Step 4: Then, simplify. Now the denominators are all the same.

5 + \(\frac{5}{10}\) + \(\frac{4}{10}\)

Step 5: Join all the denominators.

5 + \(\frac{5 + 4}{10}\)

Step 6: Simplify.

Final Answer: \(5\frac{9}{10}\) or \(\frac{59}{10}\) or 5.9

~I hope I helped you :)~

Answer:

Surface area of the cuboid  = 236

Step-by-step explanation:

Step(i):-

Given that the length of the cuboid = 8 cm

Given that the width of the cuboid = 5 cm

Given that the height of the cuboid = 6 cm

Step(ii):-

The total surface area of the cuboid

   S A =  2( l w + w h+ hl)

           = 2( 8×5 + 5×6 + 6×8)

         = 2(118)

        = 236

Surface area of the cuboid  = 236

Answer:

30

Step-by-step explanation:

30 because 15/20=30/40

The thermometer reading would be 73.48°C.

The boiling point of water is generally considered to be 100°C. According to the given information, the temperature of the liquid in the thermometer is 26.52°C lower than the boiling point of water. Therefore, to find the thermometer reading, we subtract 26.52 from 100.

100 - 26.52 = 73.48

Hence, the thermometer reading would be 73.48°C.

In this scenario, we are assuming that the thermometer is calibrated to measure temperature in Celsius. The boiling point of water at standard atmospheric pressure is 100°C, and the given information states that the liquid in the thermometer is 26.52°C lower than the boiling point.

By subtracting 26.52 from 100, we obtain a reading of 73.48°C.

Thermometers work by utilizing the principle that certain substances, such as mercury or alcohol, expand or contract with changes in temperature. The expansion or contraction is measured using a scale, which is marked with various temperature values.

In this case, the thermometer is calibrated in Celsius, so we refer to the Celsius scale. By subtracting 26.52 from 100, we find the temperature at which the liquid in the thermometer is settled, which is 73.48°C.

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Answer:

Step-by-step explanation:

Here is the completed table of function values for f(x) = -x² + 6:

x -2 -1 0 1 2

f(x) -2 5 6 5 2

To graph the function, you can plot the points from the table on a coordinate plane and connect them with a smooth curve. The graph of f(x) = -x² + 6 is a downward-facing parabola that opens up to the point (0, 6), as shown below:

          7

          |

          |

          |

          |

          |

          |

          |

          |

  -----0------

          |

          |

          |

          |

          |

          |

          |

          |

         -2

The vertex of the parabola is located at the point (0, 6), and the axis of symmetry is the vertical line x = 0.

Answer:

B

Step-by-step explanation:

20-15= 5 so you do 5% of 2100 by doing 2100 times 0.05 which gives y9u 105. you then add 2100 and 105 together

The resulting expression on combining the like terms is \(=\dfrac{a-1}{6}\)

Given the expression \({-\dfrac{2}{3}a+\dfrac56a-\dfrac16}\)

Collecting the like terms and finding the like terms will give:

\(={-\dfrac{2}{3}a+\dfrac56a-\dfrac16}\\=\dfrac{-2(2a)+5a}{6} - \frac{1}{6}\\=\dfrac{-4a+5a}{6} -\dfrac{1}{6}\\=\dfrac{a}{6} -\dfrac{1}{6}\)

Finding the LCM of the result will give:

\(=\dfrac{a-1}{6}\)

Hence the resulting expression on combining the like terms is \(=\dfrac{a-1}{6}\)

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Answer:

Step-by-step explanation:

To subtract the sum of a^2 - 2ab + b^2 and 2a^2 + 2ab + b^2 from the sum of a^2 - b^2 and a^2 + ab + 3b^2, you can follow these steps:

First, subtract a^2 - 2ab + b^2 and 2a^2 + 2ab + b^2 from the sum of a^2 - b^2 and a^2 + ab + 3b^2. This gives you (a^2 - b^2) + (a^2 + ab + 3b^2) - (a^2 - 2ab + b^2) - (2a^2 + 2ab + b^2).

Simplify the expression by combining like terms. This gives you 2a^2 - 3b^2 - 2ab.

Simplify the expression further by combining the remaining like terms. This gives you the final result of a^2 - 3b^2 - 2ab.

Answer:

Step-by-step explanation:

Using the formula for calculating the confidence interval to estimate an interval for the mean rate of return on all real estate investments with 95% confidence;

Confidence Interval = xbar±(Z*S/√n)

xbar is the mean = 20%(assumed since we are not given)

n is the sample size = 200

S is the standard deviation = 2.25%

Z is the Z score at 95% confidence interval = 1.960

Confidence Interval = 20±(1.96*2.25/√200)

Confidence Interval = 20±(1.96*2.25/14.14)

Confidence Interval = 20±(1.96*0.159)

Confidence Interval = 20±0.312

Confidence Interval = (20-0.312, 20+0.312)

Confidence Interval = (19.688, 20.312)

Hence the interval for the mean rate of return on all real estate investments with 95% confidence is 19.688<x<20.312.

This means that the minimum rate of return on investment is 19.688% and the maximum rate of return on investment is 20.312%.(assuming 20% as the mean)

Answer:

Step-by-step explanation:

Arranging the books of each subject:

Math:

Physics:

Chemistry:

We also need to consider the subjects.

There are 3 subjects, kept separately, they will be arranged in 3! = 6 ways

So the total number of combinations is:

Answer:

Hence, total ways are (2×6×120×6) ways =8640 ways.

Answer:

She would be able to buy

4 Chicken Salads &

2 Egg Salads

Step-by-step explanation:

4x5=20

leaving 8 dollars

2x4=8

Answer: she will spend 3 orders of chicken salad, and 3 orders of egg salad the total it will be $27.

Step-by-step explanation:

Step-by-step explanation:

Time = interest ×100/principle ×rate

time = (31250×100)/(2000000×6.25). [after calculation]

time = 0.25 yrs = ¼×12 = 3months.

hope this helps you.

Step-by-step explanation:

Answer:

x = 200.674

Step-by-step explanation:

tan∅ = opposite/adjacent

Step 1: Find length of z

tan70° = 119/z

ztan70° = 119

z = 119/tan70°

z = 43.3125

Step 2: Find length z + x (denoted as y)

tan26° = 119/y

ytan26° = 119

y = 119/tan26°

y = 243.986

Step 3: Find x

y - z = x

243.986 - 43.3125 = x

x = 200.674

The value of expression (s - f) (- 7) would be,

⇒ (s - f) (- 7)  = 119

We have to given that,

Functions are defined as,

⇒ s (x) = 2x²

⇒ f (x) = 3x

Now, We can find the value of (s - f) (- 7) is,

⇒ (s - f) (- 7)

⇒ s (- 7) - f (- 7)

⇒ 2 (- 7)² - (3 × - 7)

⇒ 2×49 + 21

⇒ 98 + 21

⇒ 119

Therefore, The value of expression (s - f) (- 7) would be,

⇒ (s - f) (- 7)  = 119

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Y-intercept is the point on the graph where the line crosses y-axis.

Slope of a line is the proportion of difference of y-coordinates to difference of x- coordinates.

What is a line?

A line is an object which has only one dimension i.e. it has only length and not width. A line is made up of several points that are endlessly stretched in the opposing directions.

Y-Intercept

It is a point on the graph where the line crosses y-axis. We know that any point on y-axis has its x-coordinate as 0. Therefore, for y-intercept, its x-coordinate is 0.

Slope

It is the proportion of difference of y-coordinates to difference of x- coordinates. The symbol 'm' denotes the slope.

\(m=\frac{y_{2} -y_{1} }{x_{2} -x_{1} }\)

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Question: Y-Intercept=

Slope=

Answer:

C≈31.42

r Radius 5

The solution of the system is y = -11/7 and x = 79/7

One or many equations having the same number of unknowns that can be solved simultaneously are called simultaneous equations. And the simultaneous equation is the system of equations.

Given:

A system of equations,

x = 3y + 16   {equation 1}

x + 4y = 5     {equation 2}

The value of x from the equation substituted to equation 2,

we get,

3y + 16 + 4y = 5

7y = -11

y = -11/7 and x = 79/7

Therefore, the solution is y = -11/7 and x = 79/7.

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Answer:

  Coupon A is better by $2.80.

Step-by-step explanation:

You want to know how much better the best price is between coupon A's $55 rebate on $87 worth of pants, or coupon B's 60% off.

The price reduction offered by coupon B is ...

  0.60 × $87 = $52.20

Clearly, the $55 reduction offered by coupon A is a greater reduction than the $52.20 reduction offered by coupon B. The difference in value is ...

  $55.00 -52.20 = $2.80

Coupon A gives the lower price by $2.80.

Step-by-step explanation:

we have 2 probabilities :

1. that a driver is wearing their safety belts : 0.68

2. that the driver is NOT wearing the safety belts :

1-0.68 = 0.32

A.

3 drivers are wearing it, 2 are not is a combination of

0.68³×0.32²

and how many combinations of these 5 probabilities can we have (e.g. the first 3 are wearing them, or the last 3 are wearing them, or ...) ?

that is 5 over 3 combinations :

5! / (3! × (5-3)!) = 5! / (3! × 2!) = 5×4/2 = 5×2 = 10

so, we have

10×0.68³×0.32² = 0.321978368

B

I am not sure I understand the question.

I assume this means from the 5 drivers they pull over the first 4 don't wear the seat belts, and only the fifth does.

so that is then

0.32⁴×0.68

and only one combination is possible. so, the result is just the product of these probabilities :

0.32⁴×0.68 = 0.0071303168

Answer:

x > -15

Step-by-step explanation:

-x / 3 < 5

(-x / 3) * 3 < 5 * 3

-x < 15

x > -15 (Remember to flip the sign when multiplying or dividing an inequality by a negative number.)

Answer:

49

Step-by-step explanation:

Answer:

2.625

Step-by-step explanation:

If it is supposed to be answered in fractional form convert into a fraction then simplify, but this is decimal.

The rational function whose graph is given below is f(x) = (3/2) * (x + 3) / (x + 2)

We are given that;

x-intercept =−3

y-intercept =3/2

vertical asymptote at x=−2

Now,

The rational function whose graph is given below has an x-intercept at x=−3 and a y-intercept of y=3/2. The graph has one vertical asymptote at x=−2

(x + 3) / (x + 2)

(3/2) * (x + 3) / (x + 2)

Therefore, the rational function will be  f(x) = (3/2) * (x + 3) / (x + 2).

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Answer:

B

Step-by-step explanation:

using the recursive rule \(a_{n}\) = 3\(a_{n-1}\) and a₁ = 10, then

a₁ = 10

a₂ = 3a₁ = 3 × 10 = 30

a₃ = 3a₂ = 3 × 30 = 90

the first 3 terms are 10 , 30 , 90

First, let's calculate the average salary by adding them all together, and then dividing the sum by 5:

We have that the average salary is $97,680.

Next, the annual pension is calculated by multiplying the average salary by 1.35% in decimal form:

finally, we have that Michael's annual pension is $1318.68