Half of a number increased by seventeen is 8

The fraction of the production run that was defective is 2/25.

What is the fraction?

A fraction is a numerical quantity that represents a part of a whole or a ratio between two quantities. It is expressed as one integer divided by another integer, with a horizontal line separating the two numbers. The number above the line is called the numerator and the number below the line is called the denominator.

The fraction of a production run that was defective is 0.08. This can be written as a fraction with a numerator of 0.08 and a denominator of 1:

0.08/1

To express this fraction with a denominator other than 1, we can multiply both the numerator and denominator by the same number, without changing the value of the fraction. For example, we can multiply by 100 to get:

(0.08/1) * (100/100) = 8/100

Simplifying this fraction gives:

8/100 = 2/25

Therefore, the fraction of the production run that was defective is 2/25.

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Margo practices 15 minutes everyday.

Given is that Margo practices for 1/4 of an hour.

Assume that she practices for {x} minutes. We can write -

{x} = 1/4 x 60

{x} = 15 minutes

Therefore, Margo practices 15 minutes everyday.

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Answer:

3. f(3) = 16

4. h(3) = 4

Step-by-step explanation:

3.

f(x) = x² + 7

f(3) = 3² + 7

f(3) = 16

4.

h(x) = 12/x

h(3) = 12/3

h(3) = 4

The height of the sand in the display container is 12 inches when the display container is right triangular prism.

What is right triangular prism ?

A right triangular prism is a three-dimensional geometric shape with two parallel triangular bases and three rectangular faces. The rectangular faces connect the corresponding vertices of the triangular bases.

To find the height of the sand in the display container, we need to use the fact that the volume of sand in the storage container is equal to the volume of sand in the display container.

The storage container has a length, width, and height of 6 inch, 6 inch, and 6inche, respectively. Then, the volume of the storage container is:

\(V_{storage} = L * W * H = 6 * 6 * 6 = 216 inch^3\)

Similarly, let's assume that the display container has a base of length 4 inch and height 9 inches and height of sand be H.

Then, the volume of the display container is:

\(V_{display} = (1/2) * b * h * H = (1/2) * 4 * 9 * H = 18H\)

where (1/2) is the area of the triangle base of the display container.

Since the volumes of sand in both containers are equal, we can set these expressions equal to each other and solve for h:

216 = 18H

H = 12 inches

Therefore, the height of the sand in the display container is 12 inches.

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The rate of change is D. 1foot 5inches (17inches) 8inches.

The foot is a measure of a unit of length (or distance) in US units, which equals 12 inches.

The rate of change is the difference between x and y variables.  It can be mathematically expressed as ​Change in input/​Change in output​​.  The formula for the rate of change is as follows:

= ​Δx/Δy

where Δ = change

14inches + 8inches = 22inches

13inches + 7.5inches = 20.5inches

18inches + 8inches = 26inches

But 17inches + 8inches = 25inches

Find the rate of change from 2feet 1 inch (25inches) to 8inches.

Thus, the rate of change is D. 1foot 5inches (17inches) 8inches.

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Answer:

Step-by-step explanation:

d

Answer: 1 3/4

1/4= 15 minutes

1/2 = 30 minutes

add 1/2 to 1/4 and you get 3/4 because 1/2 is equal to 2/4 if you add the 1/4 to it

heres the actual math:

1/2 = 2/4

2/4 + 1/4 = 3/4

slap that one in front of it so its 1 3/4 and therea your answer

The fractions, -2½ ÷ ¾ is solved and simplified as a mixed number as: -3⅓.

Before we can divide a fraction by another fraction, first, we have to convert the mixed number to an improper fraction, then simplify.

Given the fractions, -2½ ÷ ¾

Convert the mixed number -2½ to improper fraction:

= -5/2 ÷ ¾

Change the division sign to multiplication then turn the fraction 3/4, upside down:

= -5/2 × 4/3

Multiply their denominators and numerators then simplify the expression:

= (-5 × 4)/(2 × 3)

= -20/6

Simplify the fraction:

= -10/3

Write as a mixed number:

-2½ ÷ ¾ = -3⅓

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Answer:

The net present value of 1,500 a year from now at 5% interest is $1,428.57.

Step-by-step explanation:

NPV = 1,500 / 1.05 = 1,428.57

The simplified expression is  c²a³ - 3\(a^4\)c +  a²bc² - a³bc  - 3\(a^4\)b+ 4ab²c² - 22a²b²c + 36a³b + 12a³b² / (-2bc-6ab- 3a²)(a² + 2ab)(ac - 3a²).

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

c +6b/(-2bc-6ab- 3a²) + 2b/(a² + 2ab) - b/(ac - 3a²)

Now, simplifying

(c+ 6b) (a² + 2ab)(ac - 3a²) + 2b(-2bc-6ab- 3a²)(ac - 3a²)- b (-2bc-6ab- 3a²)(a² + 2ab) / (-2bc-6ab- 3a²)(a² + 2ab)(ac - 3a²)

= ca² + abc + 6a²b + ab² (ac - 3a²) + (4b²c - 12ab² - 6a²b)(ac - 3a²) - ( -2b²c - 6ab² - 3a²b)(a² + 2ab) / (-2bc-6ab- 3a²)(a² + 2ab)(ac - 3a²)

= c²a³ - 3\(a^4\)c + a²bc² - 3a³bc + 6a³bc - 18\(a^4\)b + 4ab²c² - 12a²b²c - 12 a²b²c+ 36a³b - 6a³bc + 18\(a^4\)b + 2a²b²c +  4a³bc + 6a³b² + 12a²b³  - 3\(a^4\)b + 6a³b² / (-2bc-6ab- 3a²)(a² + 2ab)(ac - 3a²)

= c²a³ - 3\(a^4\)c +  a²bc² - a³bc  - 3\(a^4\)b+ 4ab²c² - 22a²b²c + 36a³b + 12a³b² / (-2bc-6ab- 3a²)(a² + 2ab)(ac - 3a²)

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Answer:

Base rate: $120

Rate: $2 per person

Equation: f(x)=2x+120

Step-by-step explanation:

If 30 people cost $180 and 50 people cost $220, the charge for 20 extra people is $40.  This means, \(\frac{220-180dollars}{50-30people}=\frac{40dollars}{20people}=2\frac{dollars}{person}\).

These values correspond to a base rate for the bus of $120.

The function for the cost per bus with x number of people on it would be:

\(f(x)=2x+100\)

This can be checked by using the values given in the problem:

\(f(30)=2(30)+120=180\\f(50)=2(50)+120=220\)

The base rate of $120 and $2 per person satisfies the given equation and established values.

Step-by-step explanation:

=9x-3+x²

=9×4-3+4²

=36-3+16

=49

hope it helps.

Answer:

  (-1, 2) and (4, -8)

Step-by-step explanation:

You want the ordered pairs (x, f(x)) that satisfy both equations ...

Equating the two expressions for f(x), we have ...

  x² -5x -4 = -2x

  x² -3x -4 = 0

  (x -4)(x +1) = 0

  x = 4 or -1

Corresponding values of f(x) are ...

  f(x) = -2{4, -1} = {-8, 2}

Ordered pair solutions are ...

  (x, f(x)) = (-1, 2) and (4, -8)

Answer:

n ≥ -3

Step-by-step explanation:

Answer:

78.5 ft^2

Step-by-step explanation:

The area of a circle is given by

A = pi r^2 where r is the radius

r = d/2 where d is the diameter

r = 10/2 = 5

A = 3.14 ( 5)^2

A = 78.5 ft^2

Answer:

3

Step-by-step explanation:

Use the distance formula to determine the distance between two points.

In decribing the graph, the hiker starts at a higher altitude at time zero(point i) and moves to a point of lower altitude (point ii) as show in this sketch below.

At point ii to iii the hicker reduces to a lower atitude as shown by the decrease in slope from point ii to iii. The hiker is decelerating as speed decreases.

Atp

Answer:

The measures of spread for Mrs. Hampton’s class data come in a few different ways. One is the IQ range, the IQ Range is the Lower Quartile and Upper Quartile subtracted. The IQR is 8-5 = 3.

Hope this helps! Have a nice day! <3

Feel free to use this information and put it in your own words for your assignment! Best of luck! <3

Edge 2020-2021

The measure of spread for the data in Mrs. Hampton’s class when using the interquartile range is  3.

It should be noted that the measure of spread simply describes how similar or varied the set of observed values are for a variable.

The measures of spread include the quartiles, range, interquartile range, variance, and standard deviation.

In this case, the interquartile range will be the difference between the lower quartile and the upper quartile. This will be:

= 8 - 5 = 3

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On solving the provided question, we can say that Probability(A and B) = P(A)P(B|A) and P(E or F) = P(E) + P(F) - P(E and F)

Probability theory, a subfield of mathematics, gauges the likelihood of an occurrence or a claim being true. An event's probability is a number between 0 and 1, where approximately 0 indicates how unlikely the event is to occur and 1 indicates certainty. A probability is a numerical representation of the likelihood or likelihood that a particular event will occur. Alternative ways to express probabilities are as percentages from 0% to 100% or from 0 to 1. the percentage of occurrences in a complete set of equally likely possibilities that result in a certain occurrence compared to the total number of outcomes.

Probability(A and B) = P(A)P(B|A).

P(A and B) = P(B and A), this may also be written as P(A and B) = P(B)P(A|B).

Using the general multiplication rule, we have

P(E and F) = P(E)P(F|E)

.392 = P(E)(.7)

P(E) = .56

   P(E and F) = P(F)P(E|F)

.392 = P(F)(.56), so

P(F) = .7

P(E or F) = P(E) + P(F) - P(E and F)

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Answer:

your final price is 19.02

your ta rate is 5.75

Step-by-step explanation:

your

Actual area of the park in meters squared is 430110 \(m^{2}\)

What Does a Rectangle's Area Mean?

The quantity of space occupied by a flat surface with a specific shape is referred to as the area. It is calculated as a "number of" square units (square centimeters, square inches, square feet, etc.) The quantity of unit squares that can fit inside a rectangle called its area. The flat surfaces of laptop monitors, blackboards, painting canvases, etc. are a few instances of rectangular shapes. To determine the area that these objects occupy, use the rectangle's area formula. Consider a rectangle with dimensions of 4 inches long by 3 inches wide, for instance.

Given that,

The length of the rectangle is 6.5cm

The breath of the rectangle is 11.8cm

A rectangular park was depicted at a size of 1 cm = 90 m.

We have to find what is the park's actual area square footage in meters.

The area of rectangle is length×breath.

Convert into meter

6.5cm=6.5×90=405 m

11.8cm=11.8×90=1062 m

The area of rectangle =405 x 1062

The area of rectangle = 430110 m²

Therefore, The area of rectangle is 430110 m².

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Answer:

262 miles

Step-by-step explanation:

Total charge= $224.97

Take off the amount for the base fee

224.97-17.99= 206.98

$206.98 is the amount paid for the additional charge

206.98/0.79= 262 miles

Answer:

this answer could help you...

Step-by-step explanation:

make me brainiest

The speed where Trish is driving is 46 miles per hour.

A straight line on the coordinate plane is represented by a linear function.

A linear function always has the same and constant slope.

The formula for a linear function is f(x) = ax + b, where a and b are real values.

In another word, a linear function is a function that varies linearly with respect to the changing variable.

Given the table where a number of hours and miles are shown,

The unit rate of first data = 69/1.5 = 46

the unit rate of second data = 161/3.5 = 46

And so on

So, 46 will be constant of the function

It means the function will be y = 46x and the rate of the function will be y/x = 46.

Hence "The speed where Trish is driving is 46 miles per hour".

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Answer:

\(t = u + s + v \\ \boxed{u = t - s - v}\)

Answer: 1/6

Step-by-step explanation:

There are 6 faces in a dice

The faces are labeled as =

1

2

3

4

5

6

This means, there are 6 different outcomes in a dice

So we have to find out the probability of the dice showing 3

Now, out of 6 different possible outcomes, there is only 1 face labeled as 3.

So there is only 1 possible outcome as "3".

We can simply make it a fraction = 1/6 . 

So the answer is 1/6

Probability is expressed as a fraction, percentage and decimal.

Answer:

sss

Step-by-step explanation:

Given the point P with the coordinate indicated below

When a point is reflected across the line y=x, the transformation rule is shown below:

From the above transformation rule, we see that the coordinate will be swapped for reflection over the line y = x.

Thus, the coordinate of Q is shown below.

Hence, the coordinates of point Q is ( b , a )

The second option is the correct option.

With compound interest of 6% paid semiannually, a deposit of $900 would result in $1,191.02 after 5 years, while simple interest would earn $270, resulting in a total of $1,170.

To calculate the future value of an investment with compound interest, we can use the following formula:

FV =\(PV * (1 + r/n)^{(n*t)}\)

where FV, PV, r, n and t is the future value, present value, annual interest rate, number of compounding periods per year and number of years respectively.

In this case, the present value (PV) is $900, the annual interest rate (r) is 6%, and the interest is compounded semiannually, so there are 2 compounding periods per year (n=2). The period (t) of investment  is 5 years.

Using these values, we can calculate the future value (FV) as follows:

FV = \(\$900 * (1 + 0.06/2)^{(2*5)\)

= \(\$900 * (1.03)^{10\)

= $1,191.02

Therefore, the future value of the investment after 5 years with compound interest would be $1,191.02.

If the interest were simple interest instead of compound interest, the calculation would be simpler. Simple interest is calculated as follows:

I = P x r x t

where I is the interest, P is the principal or present value, r is the interest rate, and t is the time period.

In this case, the interest rate is still 6% and the investment period is still 5 years, but the interest is calculated only on the principal amount of $900. Therefore, the interest earned would be:

I = $900 x 0.06 x 5

= $270

Therefore, the total amount after 5 years with simple interest would be the sum of the principal and the interest earned, which is:

Total = $900 + $270

= $1,170

Therefore, if the interest were simple interest instead of compound interest, the total amount after 5 years would be $1,170, and the interest earned would be $270.

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