You have a gift card for your favorite clothing store for the amount of $60. You have found a shirt you want to buy that costs $15. If you don't want to spend more than the amount of the gift card, which of the following inequalities could be used to determine the amount you have left to spend?
A. x + 15 ≥ 60
B. x – 15 ≥ 60
C. x – 15 ≤ 60
D. x + 15 ≤ 60

Answer:

d = 5 is a solution to the equation 13 - d = 8

Step-by-step explanation:

We have to solve 13 - d = 8

Now,

13 - d = 8,

We add d on both sides,

13 - d + d = 8 + d

13 = 8 + d

we subtract 8 from both sides,

13 - 8 = 8 - 8 + d

5 = d

d = 5

Hence the answer is 5

We substitute -1+1/6y for x in the second equation (bottom equation) in order to solve the system by the substitution method.

The given system of equations are 2x-1/3y = -2...(1)

3x+y=1...(2)

We solve this system of equations by using substitution method.

Let us solve for x in equation to substitute it in equation (2).

2x=-2+1/3y

Divide both sides of equation by 2.

x=-1+1/6y

Now plug in the value of x in equation 2.

Hence, we substitute -1+1/6y for x in the second equation (bottom equation) in order to solve the system by the substitution method.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ1

Answer:

find the sample variance and standard deviation

Step-by-step explanation:

f(g(x)) = f( 4x ) = (4x)² - 8(4x) + 4 = 16x² - 32x + 4

Answer:

1) <SZR    

2) n=40

Step-by-step explanation:

Sorry I can't explain but I got these answers from the teacher's notes.

Answer:

6 units²

Step-by-step explanation:

The formula for the area of triangle is 0.5bh where b is the length of the base and h is the (perpendicular) height.

A=0.5bh

A=0.5(4)(3)

A=6

Answer:

In the pictures attached.

Step-by-step explanation:

Trial and error found these

Answer:

A and D are correct. This is a parallelogram, which is a quadrilateral. B is not correct because not all the sides are congruent. C is not correct. E and F are not correct because this parallelogram does not have any right angles.

The converse of the Pythagorean Theorem states that if two sides of a triangle are congruent, then the angles opposite to them are also congruent. This property is known as the Corresponding Angles Postulate.

The Pythagorean Theorem states that the sum of the squares of the lengths of the two sides of a right triangle are equal to the square of the length of the hypotenuse. The theorem is written as a^2 + b^2 = c^2. The converse of the Pythagorean Theorem states that if two sides of a triangle are congruent, then the angles opposite to them are also congruent. This property is known as the Corresponding Angles Postulate.  To prove this postulate, we can start with an arbitrary triangle ABC. If we extend the side AC to D, then we can create a line parallel to BC, creating two similar triangles, ABC and ADC. Since similar triangles have corresponding angles that are congruent, then  angle A = angle D. Since side AC is congruent to side AD, then angle A is also congruent to angle B. This proves the Corresponding Angles Postulate.

Learn more about angles here

https://brainly.com/question/28451077

#SPJ4

Answer:

he grows by 5 cm every year between 1999 and 2006

Step-by-step explanation:

This is a arithmetic progression problem with the formula;

T_n = a + (n - 1)d

We are told that In 1999 Daniel was 146 cm tall. He grew to be 176 cm by the year 2006.

Thus;

a = 146

d = 2006 - 1999 = 7

Thus;

176 = 146 + (7 - 1)d

176 - 146 = 6d

30 = 6d

d = 30/6

d = 5 cm

Thus, he grows by 5 cm every year between 1999 and 2006

answer: the student made an error. The first factor, 9, was distributed to only one of the terms inside the parentheses

No, Savannah is incorrect. Doubling the length, width, and height of a right rectangular prism will not double its surface area.

Surface area is the total area of an object's exposed faces, including any external surface area. It is a measure of the size of a surface and is usually expressed in square units such as square meters or square centimeters. Surface area is a two-dimensional measurement, since it only takes into account the area of a surface, and not its thickness or volume.

The surface area of a right rectangular prism is calculated by multiplying the length by the width and then multiplying that number by two and adding the two products together.

For example, the surface area of a right rectangular prism with a length of 15 cm, a width of 10 cm, and a height of 5 cm is calculated as follows:

Surface area = (15 cm * 10 cm) + (15 cm * 5 cm) = 150 cm2 + 75 cm2 = 225 cm2

Doubling the length, width, and height of this right rectangular prism would give us a prism with a length of 30 cm, a width of 20 cm, and a height of 10 cm. The surface area of this new prism would be calculated as follows:

Surface area = (30 cm * 20 cm) + (30 cm * 10 cm) = 600 cm2 + 300 cm2 = 900 cm2

As you can see, doubling the length, width, and height of the right rectangular prism does not double its surface area - the surface area has increased by four times (900 cm2/225 cm2 = 4).

In conclusion, doubling the length, width, and height of a right rectangular prism does not double its surface area; rather, it increases the surface area by a factor of four.

To know more about surface area click-
http://brainly.com/question/16519513
#SPJ1

No, Savannah is incorrect. Doubling the length, width, and height of a right rectangular prism will not double its surface area.

Surface area is the total area of an object's exposed faces, including any external surface area. It is a measure of the size of a surface and is usually expressed in square units such as square meters or square centimeters. Surface area is a two-dimensional measurement, since it only takes into account the area of a surface, and not its thickness or volume.

The surface area of a right rectangular prism is calculated by multiplying the length by the width and then multiplying that number by two and adding the two products together.

For example, the surface area of a right rectangular prism with a length of 15 cm, a width of 10 cm, and a height of 5 cm is calculated as follows:

Surface area = (15 cm * 10 cm) + (15 cm * 5 cm) = 150 cm2 + 75 cm2 = 225 cm2

Doubling the length, width, and height of this right rectangular prism would give us a prism with a length of 30 cm, a width of 20 cm, and a height of 10 cm. The surface area of this new prism would be calculated as follows:

Surface area = (30 cm * 20 cm) + (30 cm * 10 cm) = 600 cm2 + 300 cm2 = 900 cm2

As you can see, doubling the length, width, and height of the right rectangular prism does not double its surface area - the surface area has increased by four times (900 cm2/225 cm2 = 4).

In conclusion, doubling the length, width, and height of a right rectangular prism does not double its surface area; rather, it increases the surface area by a factor of four.

To know more about surface area click-
http://brainly.com/question/16519513
#SPJ1

The equation that represents Diego's cash flow is cash flow = $3,000-$2,715.

Cash flow is the difference between cash inflows and cash outflows. Cash inflow are additions to the cash flow. An example of cash inflow is monthly income. Cash outflow would reduce the cash flow. An example of cash inflow is expenses.

Cash inflow = income - expense

$3,000 - $2,715

To learn more about cash flows, please check: https://brainly.com/question/28238360

#SPJ1

Step-by-step explanation:

35:12

40:17

45:22

50:27

55:32

Answer:

Here,2x+6=12

or,2x=12-6

or,2x=6

or,x=6/2

or,x=3

\(\boxed {x = 3}\)

After the second stop, there are 10 fewer people on the bus compared to the number of people on the bus before the 2:30 stop.

Before the 2:30 stop, the bus let off 15 people and let on 9 people. The total change in the number of people at that stop is -15 (let off) + 9 (let on) = -6.

Therefore, there are 6 fewer people on the bus after the 2:30 stop compared to before that stop.

Ten minutes later, the bus makes another stop and lets off 4 more people. This additional change needs to be considered.

Since the previous calculation only accounted for the changes up until the 2:30 stop, we need to adjust the total change by including the subsequent stop.

Adding the change of -4 (let off) to the previous total change of -6, we get a new total change of -10.

Therefore, after the second stop, there are 10 fewer people on the bus compared to the number of people on the bus before the 2:30 stop.

For more such questions on subsequent stop

https://brainly.com/question/29636800

#SPJ8

Answer:

Step-by-step explanation:

This equation represents the relationship between the exponential functions y = e^x and y = (10^(x-1)). These two functions are equal to each other for all values of x. This can be shown by taking the natural logarithm of both sides of the equation, which gives us:

ln(e^x) = x-1

In this equation, ln(e^x) is equal to x, since the natural logarithm of an exponential expression with a base of e is the exponent. Therefore, we can simplify the equation by taking the natural logarithm of both sides:

ln(10^(x-1)) = x-1

e^(x-1) = 10^x

The two functions e^x and 10^(x-1) are the same function with different bases, so they follow the same pattern. The fact that these two functions are equal to each other for all values of x can also be shown by graphing the two functions and seeing that they overlap perfectly.

(a.) 0.09

equation:

f(x) = log(x)

rate of change:

\(\sf \rightarrow \sf \dfrac{y_2-y_1}{x_2-x_1}\)

\(\sf \rightarrow \sf \dfrac{log(4) -log(6)}{4-6}\)

\(\sf \rightarrow 0.088\)

\(\sf \rightarrow 0.09\)

Answer:

\(A.\: 0.09\)

Step-by-step explanation:

Rate of Change is: \(\frac{y{_1-y{_2} } }{x_2-x_1}\)

\(\frac{log(4)-log (6)}{4-6}\)

\(0.088\)

\(0.09\)

Answer:

15.6%

Step-by-step explanation:

Since each day there is a 6% chance that Lisa smiles at him then that means that each day there is a 94% chance that Lisa does not smile at him. To find the probability of Milhouse going longer than a month (30 days) without a smile from Lisa we need to multiply this percentage in decimal form for every day of the month. This can be solved easily by putting 94% to the 30th power which would be the same, but first, we need to turn it into a decimal...

94% / 100 = 0.94

\(0.94^{30}\) = 0.156

Now we can turn this decimal into a percentage by multiplying by 100

0.156 * 100 = 15.6%

Finally, we can see that the probability that Milhouse goes longer than a month without a smile from Lisa is 15.6%

Using the binomial distribution, it is found that there is a 0.1563 = 15.63% probability that Milhouse goes longer than a month without a smile from Lisa.

For each day, there are only two possible outcomes, either Lisa smiles at him, or she does not. The probability that she smiles at him on day is independent of any other day, hence, the binomial distribution is used to solve this question.

Binomial probability distribution

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

The parameters are:

In this problem:

The probability that Milhouse goes longer than a month without a smile from Lisa is the probability of no smiles during 30 days, that is, P(X = 0), hence:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 0) = C_{30,0}.(0.06)^{0}.(0.94)^{30} = 0.1563\)

0.1563 = 15.63% probability that Milhouse goes longer than a month without a smile from Lisa.

To learn more about the binomial distribution, you can take a look at https://brainly.com/question/24863377

The correct answer is the range of the given function option (D) :- D.{y | y = –7, –5, –1, 0, 1, 4, 6, 9}

The range of the function refers to the set of all possible output values that the function can produce.

It is the set of all y-values that the function can produce for all the x-values in its domain.

A function's range is the set of all possible output values ​​of the function. From the given options, the only option that represents the set of all possible output values of the function is option D, which is:

D. {y | y = –7, –5, –1, 0, 1, 4, 6, 9}

To know more about function visit:

https://brainly.com/question/29120892

#SPJ1

The ADB for the next billing is $546.32, and the finance charge for the April 3 billing is $7.65.

The following formula can be used to calculate the average daily balance (ADB):

ADB = (prior balance x number of days in billing period) + (charges x number of days charged) / number of days in the billing period

Previous balance = $320.75 Charges = $422.85 + $124.80 + $64.32 = $612.97

31 days in a billing period

Number of days charged = 31 - 12 = 19

ADB = (320.75 x 31) + (612.97 x 19) / 31 ADB = $546.32

To calculate the finance fee, use the following formula:

Finance charge = ADB x monthly interest rate x number of months

Monthly interest rate = 1.4% / 100 = 0.014

Months = 1

Finance fee = $546.32 x 0.014 x 1 Finance charge = $7.65

As a result, the ADB for the next billing is $546.32, and the finance charge for April is The following formula can be used to calculate the average daily balance (ADB):

ADB = (prior balance x number of days in billing period) + (charges x number of days charged) / number of days in billing period

Previous balance = $320.75 Charges = $422.85 + $124.80 + $64.32 = $612.97

As a result, the ADB for the next billing is $546.32, and the finance charge for April is The third billing is $7.65.

Running Balance Table: Shown in below

We can use the following formula to get the APR for the add-on interest loan:

(principal x APR x time) / 12 = finance charge

$2400 = principal

$288 = finance charge

Time = two years = twenty-four months

$288 = ($2400 x APR x 24) / 12

APR = $288 / $4800 APR = 0.06 or 6% APR = $288 / $4800 APR = 0.06 or 6%

As a result, the add-on interest loan has an APR of 6%.

Learn more about finance here:

https://brainly.com/question/10024737

#SPJ1

The solution is, After decreasing £16870 by 3% we get, £16363.90.

Here, we have,

A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%".

First, find the percentage of £16870 by 3%

%value = 3% * 16870

           = (3 / 100) * 16870

           = 506.1

Now, just minus with actual value

New value = actual value - %value

We know, actual value = £16870 and %value = 506.1

so, New value = 16870 - 506.1

we get, New value = £16363.90

Therefore, After decreasing £16870 by 3% we get, £16363.90

To read more about Percentage.

brainly.com/question/25896797

#SPJ1

complete question:

Decrease £16870 by 3%

Give your answer rounded to 2 DP.

Answer:

0.30 for answer 1

65% for answer 2

73.0% for answer 3

Hope it helps

Answer:

-4 and -2

Step-by-step explanation:

The function has the factors (x + 4) and (x + 2). By setting these both to 0, you will find the zeros of the function.

x + 4 = 0

x = -4

x + 2 = 0

x = -2

Therefore, the zeros of the function are -4 and -2.

Answer:

67.5%

Step-by-step explanation:

Answer:

Step-by-step explanation:

X=-2 hope this helps

0.46

You have to divide 2.79 by 6 with is 0.40

Good luck I hope this helps ; )

In the percentage , the statement is the best prediction about the scoops of ice cream the college will need is D)The college will have about 1,440 students who prefer ice cream.

What is percentage?

percentage. Divide the A value or ratio that may be stated as a fraction of 100 is referred to in mathematics as a number by the total and multiply by 100 to find the percent of a given number. Therefore, the percentage refers to a portion per hundred. Per 100 is what the word percentage signifies. The letter "%" stands for it.

Here then given, Total number of students = 4000

Sample number of students = 225.

In 225 students 81 students prefer ice cream.

Now to find percentage then,

=> \(\frac{81}{225}\times100\)

=> 0.36*100

=> 36%.

Now Number of students who prefer ice cream = 36% of 4000

=> 36/100 * 4000

=> 1440.

Hence the correct option is D)The college will have about 1,440 students who prefer ice cream.

To learn more about percentage refer the below link

https://brainly.com/question/24877689

#SPJ1

Answer:

-1.8 million. This means that the business likely spent a lot on production and generated very little sales during the first year.

Step-by-step explanation:

2.3 - 4.1= -1.8

A scatter plot visually represents the relationship between two variables. It shows a positive correlation between the number of books read per month and SAT Verbal Test scores, with the equation y = 6.4828x + 520.6962.

A scatter plot is a graphical representation of a set of data that allows the observer to observe the relationship between two variables. It is used to graphically display how one variable is affected by the other. It is a chart of data points plotted on a two-dimensional graph with one variable represented on the X-axis and the other variable on the Y-axis.

Scatter Plot of the Data: From the data provided by the Language Arts department, we can create the scatter plot as shown below:
Equation of the line of best fit: The line of best fit is a straight line that is used to model the relationship between the two variables. It is determined by minimizing the sum of the squares of the differences between the observed values and the predicted values.

From the scatter plot, we can see that there is a positive correlation between the number of books read per month and the score on the SAT Verbal Test. This suggests that the more books a student reads per month, the higher their score on the SAT Verbal Test.

The equation of the line of best fit for the given data set is y = 6.4828x + 520.6962. Here, y represents the score on the SAT Verbal Test and x represents the number of books read per month.

To find the equation of the line of best fit, we can use a regression analysis tool such as Excel. The regression analysis will give us the values of the slope and intercept of the line of best fit, which we can use to write the equation of the line.

For more questions on a scatter plot

https://brainly.com/question/30756481

#SPJ8