Four less than six times a number is the same as eight times the number, x, increased by 12.
Which equation describes this situation?

Answer:

(a) 1, 2, 3, 4, 6, 8, 12, 24

(b) 1, 2, 3, 4, 6, 9, 12, 18, 36

(c) 1, 5, 7, 35

(d) 1, 2, 4, 8, 16, 32

There are 120 apples in each basket and 2 leftovers

From the question, the given parameters are:

Number of apples = 482

Number of baskets = 4

the number of apples in each basket is calculated as

Apples in each basket = Number of apples/Number of baskets

Substitute the known values in the above equation

So, we have the following equation

Apples in each basket = 482/4

Evaluate

Apples in each basket = 120.5

Remove the decimal

Apples in each basket = 120

In (a), we have

Apples in each basket = 120.5

The decimal part is

Decimal = 0.5

The number of leftover is then calculated as

Leftover = Decimal * Baskets

So, we have

Leftover = 0.5 * 4

Evaluate

Leftover = 2

Hence, there are 2 leftovers

Read more about quotients at

https://brainly.com/question/629998

#SPJ1

Answer:

Step-by-step explanation:

Tate buys two graphic t-shirts for a total cost of $18.19, including 7% sales tax. Assuming that both t-shirts cost the same, what is

the pre-tax price of a single t-shirt?

18.19 = 107%

18.19 : 107 = 0.17

0.17 * 100 = 17

17 : 2 = 8.50$

If Tate buys two graphic t-shirts for a total cost of $18.19, including 7% sales tax. Assuming that both t-shirts cost the same, the pre-tax price of a single t-shirt is $8.5

percentage, a relative value indicating hundredth parts of any quantity.

Given,

Tate buys two graphic t-shirts for a total cost of $18.19.

Including 7% sales tax.

Let us check what is 7% if $18.19

Convert 7% to decimal

7/100=0.07

Multiply 0.07 with 18.19

0.07×18.19

1.2733

This is the sales tax.

Remove sales tax from total cost.

18.19-1.2733

16.916

The total cost of two shirts is $16.916

To find the cost of each shirt  divide 16.916 by 2

8.46

8.5

Hence $8.5 is the pre-tax price of a single t-shirt.

To learn more on Percentage click:

https://brainly.com/question/28269290

#SPJ2

Answer:

6 hours - 5 = 2, so 15 = 6 , as its constant

The different percentages are, 42%, 21% and 63%.

What is the percentage?

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion therefore refers to a component per hundred. Per 100 is what the word percent means. The word "percent" is used to symbolize it.

There is no dimension to percentages. As a result, it is known as a dimensionless number. We must divide the value by the entire value to find the percentage, and then multiply the resulting number by 100.

Now, according to the given information, the double number line shows that 42 people watched Deon's new video today.

Now, we are to find,

100% of 42 people.

This is, (100/100)*42 = 42%.

Again, 50% of 42 people is,

(50/100)*42 = 21%.

Again, 150% of 42 people is,

(150/100)*42 = 63%.

Hence, the percentages are, 42%, 21% and 63%.

To Learn more about the percentage form the link:

brainly.com/question/28269290

#SPJ1

Answer:

Answers are in the explaination.

Step-by-step explanation:

100% of 42 people answer is 42

50% of 42 people answer is 21

150% of 42 people answer is 63

To calculate the Value-at-Risk (VaR) for this investment at a 99% confidence level, we need to determine the loss amount that will be exceeded with a probability of only 1% (i.e., the worst-case loss that will occur with a 1% chance).

Given that there is a 0.5% chance of a loss of $10 million and a 99.5% chance of a loss of $1 million, we can express this as:

Loss Amount | Probability

$10 million | 0.5%

$1 million | 99.5%

To calculate the VaR, we need to find the loss amount that corresponds to the 1% probability threshold. Since the loss of $10 million has a probability of 0.5%, it is less likely to occur than the 1% threshold. Therefore, we can ignore the $10 million loss in this calculation.

The loss of $1 million has a probability of 99.5%, which is higher than the 1% threshold. This means that there is a 1% chance of the loss exceeding $1 million.

Therefore, the Value-at-Risk (VaR) for this investment at a 99% confidence level is $1 million.

The Value-at-Risk (VaR) for this investment at a 99% confidence level is $1,045,000.

To calculate the Value-at-Risk (VaR) for this investment at a 99% confidence level, we need to determine the loss amount that will be exceeded with only a 1% chance.

Given that the investment has a 0.5% chance of a loss of $10 million and a 99.5% chance of a loss of $1 million, we can calculate the VaR as follows:

VaR = (Probability of Loss of $10 million * Amount of Loss of $10 million) + (Probability of Loss of $1 million * Amount of Loss of $1 million)

VaR = (0.005 * $10,000,000) + (0.995 * $1,000,000)

VaR = $50,000 + $995,000

VaR = $1,045,000

Therefore, the Value-at-Risk (VaR) for this investment at a 99% confidence level is $1,045,000.

To learn more about 99% confidence level

https://brainly.com/question/15873157

#SPJ11

I think we need to (4 divided by 5)+2

4 divided by 5= 0.8

0.8+2

=2.8

answer: 2.8

the probability that both drivers are wearing their seatbelts is 0.64, or 64%.

P(A and B) = P(A) x P(B|A)

The probability of both drivers wearing seatbelts can be calculated as follows, assuming that one driver's use of a seatbelt has no effect on the other driver's use of a seatbelt and that the probability of a driver wearing a seatbelt is independent of the other driver:

Let P(S) be the probability that a driver wears a seatbelt, then P(not S) is the probability that a driver does not wear a seatbelt.

Given that 4 out of every 5 drivers wear seatbelts, we have P(S) = 4/5 = 0.8 and P(not S) = 1 - P(S) = 1 - 0.8 = 0.2.

Let A be the event that the first driver wears a seatbelt, and B be the event that the second driver wears a seatbelt. We need to find the probability of both A and B occurring, which is denoted as P(A and B).

he probability of the first driver wearing a seatbelt is P(A) = P(S) = 0.8,

and the probability of the second driver wearing a seatbelt given that the first driver is wearing a seatbelt is P(B|A) = P(S) = 0.8 because the two drivers are stopped at random.

Using the multiplication rule for independent events, we have:

P(A and B) = P(A) x P(B|A)

= 0.8 x 0.8

= 0.64

Therefore, the probability that both drivers are wearing their seatbelts is 0.64, or 64%.

know more about probability visit :

https://brainly.com/question/11234923

#SPJ1

Answer: Hewo, there! your answer is Below.

B.

linear Would be my answer because it's arranged in or extending along a straight or nearly straight line.

Step-by-step explanation:

Hope this helps!!

have a great day!!!]

-August-

The researcher's hypotheses for this study are:

H0: The mean birth weight of babies whose mothers did not see a doctor before delivery is equal to or greater than 3000 grams.

Ha: The mean birth weight of babies whose mothers did not see a doctor before delivery is less than 3000 grams.

In this case, the null hypothesis (H0) states that there is no difference in the mean birth weight of babies whose mothers did not see a doctor before delivery and the mean birth weight of 3000 grams. The alternative hypothesis (Ha) states that the mean birth weight of babies whose mothers did not see a doctor before delivery is less than 3000 grams.

To test these hypotheses, the researcher will need to collect data on the birth weights of babies whose mothers did not see a doctor before delivery and compare the mean birth weight to 3000 grams. If the mean birth weight is significantly less than 3000 grams, the researcher will reject the null hypothesis and accept the alternative hypothesis. If the mean birth weight is not significantly less than 3000 grams, the researcher will fail to reject the null hypothesis.

#SPJ1

Similar question: https://brainly.com/question/28920252

Answer:

47 degrees

Step-by-step explanation:

Answer:

B. 47 degrees

Step-by-step explanation:

/_wxy = 56

/_xyw = 68

/_xwy = 180 - (56 + 68) = 56

[interior angles of a triangle =180]

/_wzv = 77

/_vwz = 56

[/_xwy = /_ vwz]

/_zvw = 180 - (77 + 56) = 47

The area enclosed by the given curves is 116, the curves x + 4y^2 = x and y = 4 intersect at the points (0, 4) and (116/17, 4). The area enclosed by these curves can be found by integrating the difference between the curves along the x-axis or the y-axis.

Integrating along the x-axis:

The limits of integration are 0 and 116/17. The integrand is x - (x + 4y^2). When we evaluate the integral, we get 116.

Integrating along the y-axis:

The limits of integration are 0 and 4. The integrand is 4 - x. When we evaluate the integral, we get 116.

The exact area is 116, No decimal approximation The curves x + 4y^2 = x and y = 4 intersect at the points (0, 4) and (116/17, 4). This means that the area enclosed by these curves is a right triangle with base 116/17 and height 4. The area of a right triangle is (1/2) * base * height, so the area of this triangle is (1/2) * 116/17 * 4 = 116.

We can also find the area by integrating the difference between the curves along the x-axis or the y-axis. When we integrate along the x-axis, we get 116. When we integrate along the y-axis, we also get 116. This shows that the area enclosed by the curves is 116, regardless of how we calculate it.

Learn more about limit here:

brainly.com/question/12211820

#SPJ11

The possible values of the number of quarters are at least 14 and more.

It shows a relationship between two numbers or two expressions.

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal = ≤

Greater than and equal = ≥

We have,

1 dime = $0.10

1 quarter = $0.25

Number of dimes = x

Number of quarters = y

Now,

He has at most 25 coins worth at least $4.60 combined.

This means

we can write two inequalities.

x + y ≤ 25 ____(1)

0.10x + 0.25y ≥ 4.60 _____(2)

Now,

From (1) and (2).

x ≤ 25 - y

Substituting in (2).

0.10x + 0.25y = 4.60

0.10 (25 - y) + 0.25y ≥ 4.60

2.5 - 0.10y + 0.25y ≥ 4.60

2.5 + 0.15y ≥ 4.60

0.15y ≥ 4.60 - 2.5

0.15y ≥ 2.1

y ≥ 2.1/0.15

y ≥ 14

This means,

y is at least 14.

Thus,

The possible values of the number of quarters are at least 14 and more.

Learn more about inequalities here:

https://brainly.com/question/20383699

#SPJ9

The largest prime divisor of the expression \(15^{6} - 7^{6}\)  is 379.

Here, we are given an expression: 15^6 - 746

This can be written as-

\([15^{3}] ^{2} - [7^{3}] ^{2}\)

now, using the property \(a^{2} -b^{2}\) = (a + b)(a - b), we get-

\([15^{3}] ^{2} - [7^{3}] ^{2}\)

= \((15^{3} +7^{3}) (15^{3} -7^{3})\)

= (3375 + 343) (3375 - 343)

= 3718 × 3032

Now, here the factors of 3718 will be

3718 = 2 x 11 x 13 x 13

Here, the largest prime factor we find is 13

Similarly, the factors of 3032 will be

3302 = 2 * 2 * 2 * 379

Here, the largest prime factor we find is 379

Thus, the largest prime divisor (factor) of the given expression is 379.

Learn more about prime factors here-

brainly.com/question/1081523

#SPJ9

The series of operations for each case are listed below:

In algebra, factor properties are commonly used to solve certain forms of polynomials in a quick and efficient way and whose effectiveness is sustained on all definitions and theorems known in real algebra. In this problem, we should explain and show what factor properties are used in each case:

Case 1

5 · x · y³ + 10 · x² · y                                             Given

5 · (x · y³ + 2 · x² · y)                                            GCF

5 · x · (y³ + 2 · x · y)                                              GCF

5 · x · y · (y² + 2 · x)                                              GCF

Case 2

6 · z · x + 9 · x + 14 · z + 21                                   Given

3 · x · (z + 3) + 7 · (z + 3)                                       GCF

(3 · x + 7) · (z + 3)                                                  Grouping

Case 3

a² + 2 · a - 63                                                       Given

(a + 9) · (a - 7)                                                       Quadratic trinomial

Case 4

6 · z² + 5 · z - 4                                                     Given

6 · [z² + (5 / 6) · z - 2 / 3]                                      GCF

6 · (z - 1 / 2) · (z + 4 / 3)                                         Quadratic trinomial

Case 5

81 · m² - 25                                                           Given

(9 · m + 5) · (9 · m - 5)                                           Difference of squares

Case 6

8 · x³ - 27                                                               Given

(2 · x - 3) · (4 · x² + 6 · x + 9)                                  Difference of cubes

4 · (2 · x - 3) · [x² + (3 / 2) · x + 9 / 4]                      Quadratic trinomial

Case 7

27 · b³ + 64 · z³                                                      Given

(3 · b + 4 · z) · (9 · b² - 12 · b · z + 16 · z²)               Sum of cubes

Case 8

2 · w³ - 28 · w² + 80 · w                                         Given

2 · w · (w² - 14 · w + 40)                                          GCF

2 · w · (w - 4) · (w - 10)                                             Quadratic trinomial

Case 9

200 · a⁴ - 18 · b⁶                                                     Given

2 · (100 · a⁴ - 9 · b⁶)                                                GCF

2 · (10 · a² + 3 · b³) · (10 · a² - 3 · b³)                       Difference of squares

To learn more on polynomials: https://brainly.com/question/17822016

#SPJ1

Answer:

There will be 3 full 4.2-yd pieces plus a 2.02-yd leftover piece.

Step-by-step explanation:

Divide 14.62 yd by 4.2.  Determine the remainder as a decimal fraction:

14.62 yd

------------- = 3 full 4.2 yd pieces, plus 0.5 piece left over.

4.2 yd

Note that "0.5 piece" would be 0.48(4.2) yds long, or 2.02 yds.

Then you'd have three pieces of length 4.2 yds and 1 leftover piece of length 2.02 yd.

logarithmic form and although the equations will look different, the equations ... To discuss what a logarithm is, we need to take a look at an exponential function. ... If b > 1, then the graph created will be exponential growth. ... To learn how to change an equation from exponential form to logarithmic form, let's look at a specific.

Answer:

Step-by-step explanation:

Given:

Amount to repay:

Correct choice is C

Answer:

$4,640

Step-by-step explanation:

because the calculation would equal that amount.

Option C : The slope is constant for all three pairs of points, we can conclude that the rate of change of the linear relationship is 3/2.

To find the rate of change of a linear relationship, you need to calculate the slope of the line that represents the relationship. The slope of a line can be calculated as the change in y divided by the change in x between any two points on the line.

The rate of change of a linear relationship is equal to its slope.

Using the points (1, 2) and (3, 5) to calculate the slope:

slope = (change in y) / (change in x) = (5 - 2) / (3 - 1) = 3/2

Using the points (3, 5) and (5, 8) to calculate the slope:

slope = (change in y) / (change in x) = (8 - 5) / (5 - 3) = 3/2

Using the points (5, 8) and (7, 11) to calculate the slope:

slope = (change in y) / (change in x) = (11 - 8) / (7 - 5) = 3/2

This means that for every increase of 1 in x, the y value increases by 3/2. So the rate of change of the linear relationship is 3/2 or "three over two". Therefore, the rate of change of the linear relationship is 3/2.

To learn more about rate of change please click on below link        

https://brainly.com/question/13103052

#SPJ1

What is the rate of change of the linear relationship modeled in the table?

x y

1 2

3 5

5 8

7 11

Group of answer choices

A. negative three over two

B. two over three

C. three over two

D. 1

Answer: x=9

Step-by-step explanation:

3=x/3

isolate x by multiplying both sides by 3/1

3*3/1=1/3x*3/1

9=x

x=9

Hello !

Answer:

\(\boxed{\sf x=9}\)

Step-by-step explanation:

Our aim is to determine the value of x that verifies the given equation :

\(\sf g(x)=3\)

Let's replace g(x) with its expression  :

\(\sf \frac{x}{3} =3\)

Let's mutiply both sides of the equality by 3 :

\(\sf \frac{x}{3} \times3 =3\times 3\\\boxed{\sf x=9}\)

Have a nice day ;)

Answer:

6.666 percent recurring can be rounded to 6.67

Step-by-step explanation:

Answer:

3m

Step-by-step explanation:

red wire = 27

black wire= 12

so, we take HCF (highest common factor)

which would be 3 so all the wires would be cut into 3m long.

I hope it helps.

Answer:2m

Step-by-step explanation:

as the factors of 12 are:1, 2, 3, 4, 6 and 12

and the factors of 26 are:1, 2, 13 and 26

so if you are talking meters 2 would be the longest

i hope you get this right x

The given statement, "In a contingency table, when all the expected frequencies equal the observed frequencies the calculated statistic equals zero" is true because when all the expected frequencies equal the observed frequencies, the calculated statistic equals zero.

A contingency table is a table used in statistics that shows the distribution of one variable in rows and another variable in columns. It is also known as a cross-tabulation table or a two-way frequency table. In a contingency table, expected frequencies are calculated based on the assumption that there is no association between the variables being analyzed.

Observed frequencies, on the other hand, are the actual frequencies of the data being analyzed. When all the expected frequencies in a contingency table are equal to the observed frequencies, it means that there is no association between the variables, and the calculated statistic equals zero. This is because the difference between the observed and expected frequencies is used to calculate the statistic, and if there is no difference, the statistic will be zero.

Therefore, the statement "In a contingency table, when all the expected frequencies equal the observed frequencies the calculated statistic equals zero" is true.

Learn more about the contingency table:

https://brainly.com/question/30022349

#SPJ11

Answer:

Which claim most accurately describes the energy transformation taking place while he practices his guitar?

Sound energy is converted into elastic energy.

Kinetic energy is converted into thermal energy.

Mechanical energy is converted into sound energy.

Electrical energy is converted into mechanical energy.

Step-by-step explanation:

Answer:

C. 4,500

Step-by-step explanation:

Answer:$43.29

Step-by-step explanation:

Answer:

9.99*3=

Step-by-step explanation:

Eat a hot dog. I giving you a laugh to brighten your day

Answer:

  the scale factor is the vertical expansion factor.

Step-by-step explanation:

The scale factor of 2 in

  g(x) = 2·F(x)

means g(x) is a vertical expansion (not shrink) of F(x) — by a factor of 2.

_____

Additional comment

The equation g(x) could be considered to be ...

  g(x) = F(x·√2)

in which case g(x) could be interpreted as a horizontal shrink by a factor of (√2)/2. Squeezing a parabola horizontally has the same effect on its appearance as stretching it vertically.

Answer:

C. Maintenance

Step-by-step explanation:

hope this helped

The critical point $(2, 1)$ corresponds to a local minimum of the function.

The given function is f(x,y) = x^4 + y^4 - 32x - 4y + 6.

We can find the critical points of the function by finding where its gradient is zero.

The gradient of the function is given by \nabla f = \langle 4x^3 - 32, 4y^3 - 4\rangle.

Setting this equal to zero gives us the system of equations:

4x^3 - 32 = 0 and 4y^3 - 4 = 0$.Solving for x and y gives us x = 2 and y = 1.

Therefore, the critical point is $(2, 1).

Now, we need to use the Second Derivative Test to determine the nature of the critical point.

To do this, we need to compute the Hessian matrix of the function, which is given by:

\mathbf{H}f = \begin{pmatrix} 12x^2 & 0 \\ 0 & 12y^2 \end{pmatrix}.

At the critical point (2, 1), the Hessian matrix is: \mathbf{H}f(2, 1) = \begin{pmatrix} 48 & 0 \\ 0 & 12 \end{pmatrix}.

The determinant of this matrix is 48 \cdot 12 = 576 > 0, and the upper-left entry is positive, so this is a local minimum.

Therefore, the critical point (2, 1) corresponds to a local minimum of the function.

Know more about critical points here:

https://brainly.com/question/30459381

#SPJ11