Robert spends $30.45, before tax, at the bookstore. If the sales Tax rate in his city is 7.25%, and Robert started with $40, how much does Robert have left?

Answer:

I Believe your answer is B, put all the numbers in order then find the middle number

Step-by-step explanation:

it may be thought of as the "middle" value of a data set. For example, in the data set {1, 3, 3, 6, 7, 8, 9}, the median is 6,

\(\bold{Heya!}\)

Because you will always have to put the numbers from the smallest, and to the Iargest/biggest Then you need to find the middle number and that's how you will get your answer from that point of view.

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\(\underline{Answer :}\)

Jaceysan ~

Answer:

\(\Large \boxed{\sf 17 \ and \ 18}\)

Step-by-step explanation:

The product means multiplication.

There are two positive consecutive integers.

Let the first positive consecutive integer be x.

Let the second positive consecutive integer be x+1.

\((x) \times (x+1) =306\)

Solve for x.

Expand brackets.

\(x^2 +x =306\)

Subtract 306 from both sides.

\(x^2 +x -306=306-306\)

\(x^2 +x -306=0\)

Factor left side of the equation.

\((x-17)(x+18)=0\)

Set factors equal to 0.

\(x-17=0\)

\(x=17\)

\(x+18=0\)

\(x=-18\)

The value of x cannot be negative.

Substitute x=17 for the second consecutive positive integer.

\((17)+1\)

\(18\)

The two integers are 17 and 18.

The product of two consecutive positive integers is 306.

We need to find the integers

solution : Let two consecutive numbers are x and (x + 1)

A/C to question,

product of x and (x + 1) = 306

⇒x(x + 1) = 306

⇒x² + x - 306 = 0

⇒ x² + 18x - 17x - 306 = 0

⇒x(x + 18) - 17(x + 18) = 0

⇒(x + 18)(x - 17) = 0⇒ x = 17 and -18

so x = 17 and (x +1) = 18

Therefore the numbers are 17 and 18.

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TYSM!

Answer:

The probability that on a particular week, the hospital will receive on high BP pregnant woman is 0.0068

Step-by-step explanation:

We use the Exponential distribution,

Since we are given that on average, 5 pregnant women with high blood pressure come per week,

So, average = m = 5

Now, on average, 5 people come every week, so,

5 women per week,

so, we get 1 woman per (1/5)th week,

Hence, the mean is m = 1/5 for a woman arriving

and λ = 1/m = 5 = λ

we have to find the probability that it takes higher than a week for a high BP pregnant woman to arrive, i.e,

P(X>1) i.e. the probability that it takes more than a week for a high BP pregnant woman to show up,

Now,

P(X>1) = 1 - P(X<1),

Now, the probability density function is,

\(f(x) = \lambda e^{-\lambda x}\)

And the cumulative distribution function (CDF) is,

\(CDF = 1 - e^{-\lambda x}\)

Now, CDF gives the probability of an event occuring within a given time,

so, for 1 week, we have x = 1, and λ = 5, which gives,

P(X<1) = CDF,

so,

\(P(X < 1)=CDF = 1 - e^{-\lambda x}\\P(X < 1)=1-e^{-5(1)}\\P(X < 1)=1-e^{-5}\\P(X < 1) = 1 - 6.738*10^{-3}\\P(X < 1) = 0.9932\\And,\\P(X > 1) = 1 - 0.9932\\P(X > 1) = 6.8*10^{-3}\\P(X > 1) = 0.0068\)

So, the probability that on a particular week, the hospital will receive on high BP pregnant woman is 0.0068

The sentence to describe the meaning of 6 in the equation 2.4/0.4=6 is the quotient value of the digits 2.4 and o.4 is 6.

How can the sentence be written?

The concept that will be used here is division.  The quotient is the result of dividing two numbers by each other. As in the case of 8 4 = 2, when the division produced the number 2, the outcome is the quotient. The dividend is 8 and the divisor is 4.

Subtraction is repeated in division. As an illustration, in 62 we repeatedly subtraction 2 from 6 until we reach zero. It implies that until we reach 0, we must repeatedly remove 2 from 6 to get at 0.

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Answer:

x + 5y = 22.45

x + 7y = 25.45

Step-by-step explanation:

Given:

Customer A oil tank size = 5 quart

Customer B oil tank size = 7 quart

Total cost for A = $22.45

Total cost for B = $25.45

Find:

Equation

Computation:

So,

x + 5y = 22.45

x + 7y = 25.45

Answer:

669 dollars and 70 cents

Step-by-step explanation:

just minus all the money spent and add the money added

Answer: the answer is (3,-2)

Step-by-step explanation: when you rotate a point about the origin 180 degrees clockwise, (x,y) turns into (-x,-y)

therefore

(-3,2) becomes (3,-2)

I'm pretty sure

Answer:

The equivalent expression is;

Explanation:

Given the expression;

Recall that the product of a negative and a positive is a negative.

So, the expression becomes;

Therefore, the equivalent expression is;

The percentage change of the population is P = 1.7 %

Given data ,

To calculate the percent increase from 2014 to 2015, we need to find the difference between the two population values, divide it by the initial value, and then multiply by 100 to get the percentage.

Population increase = 7,375 - 7,250 = 125

Percent increase = (Population increase / Initial population) * 100

Percent increase = (125 / 7,250) * 100 ≈ 1.7241

Rounding to the nearest tenth of a percent, the percent increase is approximately 1.7%.

Hence , the percentage change is P = 1.7 %

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Answer:

4x² + 22x - 12

Step-by-step explanation:

A = bh/2

A = (4x - 2)(2x + 12)/2

A = (8x² + 48x - 4x - 24)/2

A = (8x² + 44x - 24)/2

A = 4x² + 22x - 12

Answer:

En el hotel hay 13 habitaciones sencillas y 37 habitaciones dobles.

Step-by-step explanation:

Un sistema de ecuaciones lineales es un conjunto de dos o más ecuaciones de primer grado, en el cual se relacionan dos o más incógnitas.

Resolver un sistema de ecuaciones consiste en encontrar el valor de cada incógnita para que se cumplan todas las ecuaciones del sistema.

En este caso, las variables que se definen son:

Entonces, el hotel dispone en total de 50 habitaciones, por lo que se plantea la ecuación:

x + y= 50

El hotel dispone de 87 camas. La cantidad de camas por habitación puede ser expresada mediante:

x + 2*y= 87

Entonces el sistema de ecuaciones a resolver es:

\(\left \{ {{x+y=50} \atop {x+2*y=87}} \right.\)

El método de sustitución consiste en despejar o aislar una de las incógnitas, por ejemplo x , y sustituir su expresión en la otra ecuación. De este modo, obtienes una ecuación de primer grado con la otra incógnita,  y . Una vez resuelta, calculas el valor de  x  sustituyendo el valor de  y ya conocido.

En este caso, despejando x de la primer ecuación:

x= 50 -y

y reemplazando en la segunda ecuación obtienes:

50 -y + 2*y=87

-y + 2*y=87 -50

y= 37

Reemplazando en la expresión x= 50 -y obtienes:

x= 50 -37= 50-37

x= 13

Recordando que x representa la cantidad de habitaciones sencillas e y la cantidad de habitaciones dobles, en el hotel hay 13 habitaciones sencillas y 37 habitaciones dobles.

Greetings! Hope this helps!

Answer

240 emails in 6 hours

Explanation

160/4 = 40 emails per hour

40 x 6 = 240 emails in 6 hours

Have a good day!

_______________

A brainliest would help tons! :D

The area and volume of red bodies depend on their shape and can be found using specific formulas for each type of object.

The shape of the item affects the area and volume of red bodies. In general, the total amount of space enclosed within the boundaries of a two-dimensional object (such as a red circle, square, or rectangle) is its area, whereas the total amount of space enclosed within the boundaries of a three-dimensional object (such as a red cube, sphere, or cylinder) is its volume.

The formula A = r2, where A is the area and r is the circle's radius, can be used to determine the area of a red circle, for instance. While the area of a red square may be determined by dividing its length by its width.

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The equation that shows the amount Christa and Megan each had in sales in July is 630 + 0.03x = 609 + 0.035x

An equation is used to show the relationship between numbers and variables. An equation can be linear, quadratic depending on the degree.

Let x represent the amount Christa and Megan each had in sales in July. Hence:

For Christa = 18(35) + 0.03x

For Megan = 21(29) + 0.035x

630 + 0.03x = 609 + 0.035x

The equation that shows the amount Christa and Megan each had in sales in July is 630 + 0.03x = 609 + 0.035x

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You therefore paid $21.26 to travel to the beach.

One mile is 5,280 feet long. To determine how many steps this should require walking a mile, simply split 5,280 feet by the length of your typical stride. For instance, if your typical stride is 2 feet, walking a mile will need 2,640 steps.

a) We must divide the total amount of miles travelled by the quantity of gas consumed in order to compute mpg (miles per gallon). If 141 miles are covered by 3/8 of a tank, we may calculate the tank's total capacity as follows:

18 gallons = 8/8 tank (full tank)

So, 3/8 tank = (3/8) x 18 = 6.75 gallons

Therefore, the mpg is:

mpg = distance traveled ÷ gas used

mpg = 141 miles ÷ 6.75 gallons

mpg = 20.89 miles per gallon (rounded to two decimal places)

b) The entire amount of gas consumed must be multiplied by the gallon price in order to get the cost of gas. Gas is expensive at:

Cost of gas = gas used x price per gallon

Cost of gas = 6.75 gallons x $3.15/gallon

Cost of gas = $21.26

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12 < -8n

(I'm not hundred percent sure I'm sorry but that's what I came up with)

The probability is \(0.0922 approx\) \(9.22%\)%

Probability theory is an area of mathematics that determines the likelihood that an event will occur or a claim will be true.

The probability of an event is a number between\(0\) and \(1\), where \(0\) is the likelihood of the event occurring and \(1\) is the chance that it will happen.

The probability that a certain event will occur is simply represented numerically as a probability.

The percentages \(0%\)% to \(100%\)% or even\(0\) to\(1\) can be used to express probabilities.

The probability of occurrence in an entire set of equally likely possibilities that results in a particular event divided by the number of outcomes.

We need to know the standard deviation of the sampling distribution of the mean in order to calculate the likelihood that the sample mean will be within one week of the population mean.

The standard error of the mean can be calculated as follows if the population standard deviation is known:

These steps are used to compute standard error: sample size squared / standard deviation of the population

If the sample standard deviation is unavailable, we can estimate the population standard deviation and compute the standard error of the mean as follows:

These steps are used to compute standard error: sample size squared / standard deviation of the population

If we assume that the population's standard deviation is \(1\), we can use the standard error of both the mean formula to determine

The probability  that a simple random sample of \(55\) unemployed people will somehow generate a sample mean that is within one week of the population average. In this context, "within one week" means within one standard error of something like the population mean, or one.

The standard error of the mean for a sample size of \(55\)

Standard error =\(\frac{1}{\sqrt{55} }\)

 error                 ≈\(0.1348\)

To find the probability that a sample mean is within one standard deviation of the population mean, we can use the standard normal distribution with a mean of \(0\) and a standard deviation of \(1\).

We want to find the probability that a z-score is between \(-1 and 1\), which represents one standard deviation from the mean.

This chance is roughly \(0.6827\), as determined by a calculator or a conventional normal distribution table.

In light of this, the probability  that a straightforward random sample of \(55\) unemployed people will yield a possession of tiny sums that is close to the population mean in just one week is approximately:

\(0.6827*0.1348= 0.0922\)(rounded to four decimal places) (rounded to four decimal places)

Therefore , the probability is \(0.0922\), or roughly\(9.22%\)%.

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Answer:

Option 2: AAS is the right answer

Step-by-step explanation:

In the diagram, two triangles are given with two angle measurements and one non-included side.

It can also be seen that the respective angles of both triangles have same measurement and the non-included side is also congruent.

AAS Postulate:

"AAS postulate states that when two angles and one excluded side are congruent in two triangles then the triangles are congruent."

Hence,

Option 2: AAS is the right answer

The extremas of the function f(x) = x³ - 7x² + 10x are given as follows:

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Answer:

36° , 54° , 90°

Step-by-step explanation:

since the triangle is right then one angle is 90°

the ratio of the smaller angles = 3 : 2 = 3x : 2x ( x is a multiplier )

the sum of the 3 angles in the triangle is 180° , that is

3x + 2x + 90 = 180

5x + 90 = 180 ( subtract 90 from both sides )

5x = 90 ( divide both sides by 5 )

x = 18

Then

3x = 3 × 18 = 54°

2x = 2 × 18 = 36°

the 3 angles measure 36° , 54° , 90°

The side AC corresponds to the side AC in the other triangle and the length of BC is 15 units

For two triangles to be similar, the corresponding sides of the triangles must be in proportion

Having said  that

The side AC corresponds to the side AC in the other triangle

The length BC is calculated as

BC/9 = 25/15

Express as products

So, we have

BC = 9 * 25/15

Evaluate the products

BC = 15

Hence, the length of BC is 15 units

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Answer:

4

Step-by-step explanation:

Answer:

0.52= 52/100= 0.52

Step-by-step explanation:

25 cents plus 5 cents is 30 cents plus 2 dimes which is 10cents each gets is 50 cents plus 2 penny's that are 1cent each is 52cents

Answer: F

Step-by-step explanation:

(i) The interval is meant to have infinitesimal width because the limit is approaching 0.

(ii) This gives the derivative at \((x, f(x))\), which is the same as the slope of the tangent line.

(iii) False, this deals with the tangent line, not the secant.

(iv) True by definition.

The values of the constants m and c include the following:

m = -1.3

c = 7.1

In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is given by this mathematical equation;

y = mx + c

Where:

Since the point P(-7, 2) is mapped onto P' (3, -11) by the reflection y = mx + c, we can write the following system of equations;

2 = -7m + c    ...equation 1.

-11 = 3m + c    ...equation 2.

By solving the system of equations simultaneously, we have:

2 = -7m - 3m - 11

11 + 2 = -10m

13 = -10m

m = -1.3

c = 7m + 2

c = 7(-1.3) + 2

c = -7.1

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Answer:

Step-by-step explanation:

29 is 6 more than K

Let's create an equation

\(29 = 6 + k\)

Move variable to L.H.S and change its sign

Similarly, move constant to R.H.S and change its sign

\( - k = 6 - 29\)

Calculate

\( - k = - 23\)

Change the sign on both sides of the equation

\(k = 23\)

Hope this helps..

Best regards!!

The equation for the statement 29 is 6 more than K is solved and K = 23

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

In an equation, the expressions on either side of the equals sign are called the left-hand side (LHS) and the right-hand side (RHS), respectively. The equals sign (=) indicates that the two expressions have the same value, and that the equation is true for certain values of the variables involved.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. It typically consists  mathematical operations, such as addition, subtraction, multiplication, division, and exponentiation.

Given data ,

Let the equation be represented as A

Now , the value of A is given by the statement below

29 is 6 more than K

On simplifying , we get

29 = 6 + K

Subtracting 6 on both sides , we get

K = 29 - 6

K = 23

Therefore , the value of K is 23

Hence , the equation is K = 23

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The test Statistic and the critical value is 20.692 and 15.308 respectively.

Given that,

Null and Alternative hypothesis,

Null hypothesis: H₀ = 5.7

and Alternative hypothesis: H₁ < 5.7

∴

Test Statistic =

x² = (n-1)s²/σ², where s is the standard deviation = 4.9 and n sample size = 29,

= 28 × 4.9² / 5.7²

= 20.692

The critical value of the left tailed test at significance level 0.025 and df = 28,

x²(critical) = x²(1-α), (n-1) = x²(0.975, 28)

= 15.308

Hence, the test Statistic and the critical value is 20.692 and 15.308 respectively.

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Answer:

y = 5^(x+1)

Step-by-step explanation:

y = 5^(x+1)

x = 1 for the initial step

The value of the missing part of the triangle such as PR and ST = 8 and 5 respectively

Triangle PQS is congruent with triangle PRS

Therefore, PQ = PR

That is;

PQ = 8

PR = 2x

8 = 2x

X = 8/2 = 4

PR = 2(4) = 8

For ST;

Triangle VST = VUT

That is, TU = ST

ST = 5z

TU = 2z+3

5z = 2z+3

5z+2z = 3

z= 3/3 = 1

ST = 5(1) = 5

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The difference between the depths in February and July is D. 13 feet.

According to the information supplied, the symbol for the average depth of a nearby lake, which is 26 feet, is |26|. It was 5 feet deep in February, or |5|, and 18 feet deep in July, or |18|. As a result, it is important to remember that the depth in July is -18.

Consequently, the variation in depth between February and July will be

= -5 - (-18)

= -5 + 18

= 13

The depth is 13 feet as a result.

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