Bath and Body Works is having a special promotion on fall candles. Every 12th guest is receiving a free pumpkin scented candle and every 36th guest is receiving a free Carmel waffle scented candle. Which number of guests will receive both the pumpkin and caramel waffle scented candles?

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\(percent \: \: of \: \: boys = \frac{42 - girls}{42} \times 100 \\ \)

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Answer:

A: x/6+x/12=2

Step-by-step explanation:

I'm pretty sure this is right

Answer:

A

Step-by-step explanation:

The numerator of the fraction is 2.

The fraction can be written as 2/7, and since the numerator is nine less than the denominator, when the fraction reduces to (1/7) it means that the numerator must be 2.

To solve this problem, first determine what is given in the question: a fraction with a numerator that is nine less than the denominator, and that reduces to (1/7).

Using this information, the goal is to determine the numerator of the fraction.

To do this, simply subtract nine from the denominator and the result will be the numerator. In this case, the denominator is 7, so subtracting 9 from 7 gives us 2, which is the numerator of the fraction.

Therefore, the numerator of the fraction is 2.

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The value of tan(t−π) is 4/9.

According to the statement

we have given that  tan(t)=4/9 and we have to find the value of tan(t−π).

So,

tan(t−π)  -(1)

take negative sign common from equation (1) it then

tan(t−π) = -tan(-t+π)

and we know that the according to the mathematics formula it become

tan(-t+π) is -tan t

then

tan(t−π) = -(-tan t)

it becomes

tan(t−π) = tan t

then its value becomes

tan(t−π) = tan(t)=4/9.

because we have given that the value of tan t is tan(t)=4/9.

So, The value of tan(t−π) is 4/9.

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If you choose the rebate offer, your monthly payment for the car loan at the bank will be approximately $557 (rounded to the nearest dollar).

To calculate the monthly payment for each financing option, we'll use the information provided:

1. 0% financing for 48 months:

Since the financing is offered at 0% interest, the monthly payment can be calculated by dividing the total purchase price by the number of months.

Purchase Price: $26,050

Number of Months: 48

Monthly Payment = Purchase Price / Number of Months

Monthly Payment = $26,050 / 48 ≈ $543

Therefore, the monthly payment for the 0% financing option for 48 months is approximately $543.

2. Rebate offer and car loan at the bank:

If you choose the rebate offer, you'll need to finance the remaining balance after deducting the rebate amount. Let's calculate the remaining balance:

Purchase Price: $26,050

Rebate Offer: $2,900

Remaining Balance = Purchase Price - Rebate Offer

Remaining Balance = $26,050 - $2,900 = $23,150

Now, we'll calculate the monthly payment using the remaining balance and the loan terms from the local bank:

Remaining Balance: $23,150

Interest Rate: 5.24% (compounded monthly)

Number of Months: 48

Monthly Payment = (Remaining Balance * Monthly Interest Rate) / (1 - (1 + Monthly Interest Rate)^(-Number of Months))

First, let's calculate the Monthly Interest Rate:

Monthly Interest Rate = Annual Interest Rate / 12

Monthly Interest Rate = 5.24% / 12 ≈ 0.437%

Now, we can calculate the Monthly Payment using the formula mentioned above:

Monthly Payment = ($23,150 * 0.437%) / (1 - (1 + 0.437%)^(-48))

Monthly Payment ≈ $557

Therefore, if you choose the rebate offer, your monthly payment for the car loan at the bank will be approximately $557 (rounded to the nearest dollar).

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The general form of a quadratic polynomial is given by:

You have the following quadratic expression:

In order to factorize the previous expression, you first use the quadratic formula, which is given by;

where a = 5, b = -17, c = -40. You replace these values into the quadratic formula:

The factors of the quadratic polynomial, based on the previous calculated zeros of the piolynomial are as follow:

question 1, The perimeter of the door will be equal to 24 cm. Hence, option B is correct.

question 2, We are given a triangle with a perimeter of 3 meters from which an another triangle with a perimeter of 36 meters was created. Let the scale factor be 'x' So, 3x=36 x=12 Hence, the scale factor is 12:1

question 3, D

question 4, Given that, A rectangular flag is 80 centimeters by 92 centimeters. we need to find dimensions of a scale drawing of the flag using the scale 1:4,

Therefore,

80 / 92 = 20 / 23

Hence, the dimensions for the scale drawing of the flag is 20 cm by 23 cm.

question 4,      31.5/7 or 4.5

By simply taking the width after it was enlarged and dividing it by the width before it was enlarged we can find the scale factor that was used. In this case it would be 31.5 (width after)/ 7 (width before) which gives us a scale factor of 31.5/7. Simplifying would yield a scale factor of 4.5 times.

question 5,

Part A: 3.5x6 feet

14x3=42   24x3=72

42/12=3.5   72/12=6

Part B: 21 square feet

3.5x6=21

Answer:

The correct answer is B

Step-by-step explanation:

I know this is the answer because I took the test and got it right.

Answer:

The pizza restaurant put 1/10 of the sauce on each pizza.

Step-by-step explanation:

Take the 3/5, and on a calculator divide the 3 by the 5:

0.6

Then, take the 0.6 and divide it by the 6 pizzas:

0.1, converted into a fraction equals 1/10.

The pizza restaurant put 1/10 of the sauce on each pizza.

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Answer:

JL ⊥ KM

Step-by-step explanation:

JL ⊥ KM would make the quad a rhombus because JKLM is a parallelogram since opposite sides are congruent.  If the diagonals of a parallelogram are perpendicular, then the quad must be a rhombus.

JL must be perpendicular to KM because in a parallelogram if diagonals are perpendicular then the quadrilateral JKLM is a rhombus.

Given :

The following steps can be used in order to determine the correct statement that shows that JKLM is a rhombus:

Step 1 - Remember a quadrilateral has four sides and the sum of the interior angles of a quadrilateral is 360 degrees.

Step 2 - According to the given data, KL ≅ JM, JK ≅ LM, and KA ≅ MA.

Step 3 - So, to make JKLM a rhombus, JL must be perpendicular to KM because in a parallelogram if diagonals are perpendicular then the quadrilateral JKLM is a rhombus.

Therefore, the correct option is B).

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There are 30 of the cupcakes are vanilla.

Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.

We have to given that;

Joanne is making 48 cupcakes for a bake sale.

And, 1/4 of the cupcakes are chocolate.

1/8 of the cupcakes are strawberry.

The remainder of the cupcakes are vanilla.

Hence, We get;

Amount of the cupcakes are vanilla is,

⇒ 48 - (1/4 of 48 + 1/8 of 48)

⇒ 48- (12 + 6)

⇒ 48 - 18

⇒ 30

Thus, There are 30 the cupcakes are vanilla.

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The correlation analysis indicates a moderate positive relationship between Column X and Column Y.

To perform correlation analysis, we can use the Pearson correlation coefficient (r) to measure the linear relationship between two variables, in this case, Column X and Column Y. The value of r ranges from -1 to 1, where 1 indicates a perfect positive correlation, -1 indicates a perfect negative correlation, and 0 indicates no correlation.

Here are the steps to calculate the correlation coefficient:

Calculate the mean (average) of Column X and Column Y.

Mean(X) = (10+6+39+24+35+12+33+32+23+10+16+16+35+28+5+22+12+44+15+40+46+35+28+9+9+8+35+15+34+16+19+17+21) / 32 = 24.4375

Mean(Y) = (37+10+18+12+11+34+26+9+42+24+40+1+39+24+42+7+17+17+27+47+35+14+38+18+17+22+12+30+18+43+24+45+24) / 32 = 24.8125

Calculate the deviation of each value from the mean for both Column X and Column Y.

Deviation(X) = (10-24.4375, 6-24.4375, 39-24.4375, 24-24.4375, ...)

Deviation(Y) = (37-24.8125, 10-24.8125, 18-24.8125, 12-24.8125, ...)

Calculate the product of the deviations for each pair of values.

Product(X, Y) = (Deviation(X1) * Deviation(Y1), Deviation(X2) * Deviation(Y2), ...)

Calculate the sum of the product of deviations.

Sum(Product(X, Y)) = (Product(X1, Y1) + Product(X2, Y2) + ...)

Calculate the standard deviation of Column X and Column Y.

StandardDeviation(X) = √[(Σ(Deviation(X))^2) / (n-1)]

StandardDeviation(Y) = √[(Σ(Deviation(Y))^2) / (n-1)]

Calculate the correlation coefficient (r).

r = (Sum(Product(X, Y))) / [(StandardDeviation(X) * StandardDeviation(Y))]

By performing these calculations, we find that the correlation coefficient (r) is approximately 0.413. Since the value is positive and between 0 and 1, we can conclude that there is a moderate positive relationship between Column X and Column Y.

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In linear equation, -7 m - 2 is number makes the expression equivalent.

What in mathematics is a linear equation?

Given expression is  1/2 (-14m+ 4 )

To simplify this expression  1/2 (-14m+ 4 ) we get equivalent expression.

Multiply and Divide the expression by two.

⇒ -14m/2 + 4/2

To simplify the expression again, we get,

⇒ -7 m - 2

So, we found the coefficient of m is -7

The missing number is -7

Hence, –0.7 makes the expression equivalent.

Therefore,1/2 (-14m+4) = -7 m - 2

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Answer: 7 1/2 pounds

Step-by-step explanation:

The time Billy should get up to be right on time for school is 6:52 am.

The formula to calculate the time Billy should get up to be right on time for school is as follows: Time Billy Should Get Up = School Start Time - (Time to Get Dressed + Time to Eat Breakfast + Time to Walk to School). In this case, the formula is: Time Billy Should Get Up = 8:35 am - (32 minutes + 13 minutes + 17 minutes). In order to solve this equation, first we must convert the minutes to hours. 32 minutes is equal to 0.53 hours and 13 minutes is equal to 0.22 hours. 17 minutes is equal to 0.28 hours. Thus, the formula is: Time Billy Should Get Up = 8:35 am - (0.53 hours + 0.22 hours + 0.28 hours). Now, we can solve for the time Billy should get up. 8:35 am minus 0.53 hours is 7:42 am. Then, 7:42 am minus 0.22 hours is 7:20 am. Finally, 7:20 am minus 0.28 hours is 6:52 am. Therefore, the time Billy should get up to be right on time for school is 6:52 am.

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Answer:

yes it is.

Step-by-step explanation:

THE ANSWER IS A.

Step-by-step explanation:

The number of terms in the expression, 6 + 2 x - 4 y + 5 z is 4 terms.

In the expression 6 + 2x - 4y + 5z, the number of terms is four, not the number of signs. The terms in this expression are:

Each term is separated by an operator (either addition or subtraction), which is represented by a sign. Therefore, the expression contains three addition signs and one subtraction sign.

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The full question is:

How many terms are in the following expression 6 + 2 x - 4 y + 5 z

The diameter of the circle is approximately 60 inches.

To explain further, we can use the formula relating the central angle of a sector to the length of its intercepted arc. The formula states that the length of the intercepted arc (A) is equal to the radius (r) multiplied by the central angle (θ) in radians.

In this case, we are given the central angle (225 degrees) and the length of the intercepted arc (30π inches).

To find the diameter (d) of the circle, we need to find the radius (r) first. Since the length of the intercepted arc is equal to the radius multiplied by the central angle, we can set up the equation 30π = r * (225π/180). Simplifying this equation gives us r = 20 inches.

The diameter of the circle is twice the radius, so the diameter is equal to 2 * 20 inches, which is 40 inches. Therefore, the diameter of the circle is approximately 60 inches.

In summary, by using the formula for the relationship between central angle and intercepted arc length, we can determine the radius of the circle. Doubling the radius gives us the diameter, which is approximately 60 inches.

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The values for x and y for the geometric system formed by two similar triangles are 9 / 2 and 15 / 4, respectively.

In this question we find the case of a geometric system formed by two similar triangles. Two triangles are similar when their angles are congruent and sides are not congruent though proportional. The situation represented in the figure is described by proportion formula:

5 / (5 + y) = 4 / 7 = 6 / (6 + x)

Now we proceed to find the values for x and y by algebra properties:

5 / (5 + y) = 4 / 7

5 · 7 = 4 · (5 + y)

35 = 20 + 4 · y

15 = 4 · y

y = 15 / 4

6 / (6 + x) = 4 / 7

6 · 7 = 4 · (6 + x)

42 = 24 + 4 · x

18 = 4 · x

x = 18 / 4

x = 9 / 2

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The purpose of performing individual t-tests after carrying out the overall f-test is because t test determine whether a process or treatment has an effect on the population of interest, or whether two groups are different from one another.

According to the statement

we have to find and explain the reason that why individual t-tests is performed after overall f-test.

So, For this purpose, we know that the

The overall F-test compares the model that you specify to the model with no independent variables. This type of model is also known as an intercept-only model.

And

A t-test is a statistical test that compares the means of two samples. It is used in hypothesis testing, with a null hypothesis that the difference in group means is zero.

And the purpose of performing these test :

The purpose of performing t test is a is often used in hypothesis testing to determine whether a process or treatment has an effect on the population of interest, or whether two groups are different from one another.

And

The F-test of overall significance indicates whether your linear regression model provides a better fit to the data than a model that contains no independent variables.

These are the purposes and the differences of the given tests.

So, The purpose of performing individual t-tests after carrying out the overall f-test is because t test determine whether a process or treatment has an effect on the population of interest, or whether two groups are different from one another.

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The particle's motion along the parabola from x = -1 to x = 2 results in a work done of 13.5 units.

To find equations of parabola we compute the work done by the force field in moving a particle along a curve, we can use the line integral formula:

Work = ∫C F · dr

where F is the force field and dr is the differential displacement vector along the curve C.

Given the force field F(x, y, z) = xi + yj + zk, and the curve defined by y = 3x² and z = 0, we need to express F and dr in terms of the parameter x.

The differential displacement vector dr can be written as:

dr = dx i + dy j + dz k

Since z is constant (z = 0), dz = 0, so dr simplifies to:

dr = dx i + dy j

We can express dy in terms of dx using the equation of the parabola

y = 3x²:

dy = 6x dx

Now we can rewrite dr as:

dr = dx i + 6x dx j

Substituting F and dr into the line integral formula:

Work = ∫C (xi + yj + zk) · (dx i + 6x dx j)

Now we calculate the dot product between F and dr:

F · dr = (xi + yj + zk) · (dx i + 6x dx j)

= x dx + 6x² dx

Integrating the dot product over the curve C from x = -1 to x = 2:

Work = ∫C (x dx + 6x² dx)

= ∫[from -1 to 2] (x + 6x²) dx

Integrating with respect to x:

Work = [1/2 x² + 2x³] | from -1 to 2

= [1/2 (2)² + 2(2)³] - [1/2 (-1)² + 2(-1)³]

= [1/2 (4) + 2(8)] - [1/2 + 2(-1)]

= 2 + 16 - 1/2 - 4

= 13.5

Therefore, the work done in moving the particle along the parabola from x = -1 to x = 2 is 13.5 units.

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The correct answer about the savings account that Zoe opened, represented by the equation b(x)=675(1.045)ˣ is B. Daniella says the balance in the account increases at a rate of 4.5% each year.

An equation is a mathematical statement that two or more algebraic expressions (the combination of variables with constants and mathematical operands) are equal or equivalent.

This equation is known as the future value equation, formula, or function.

Initial investment = $675

Compound interest rate = 4.5% (0.045 x 100)

Future value factor = 1.045 (100% + 4.5%)

Based on the future value function above, we can conclude that the compound interest rate is 4.5%, which is equivalent to 0.045 as given in the equation.

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Answer: 8.4 + 3.8y

Step-by-step explanation: The expression is 8.4 + 3.8y ( y represents the amount of years multiplies by 3.8 or the amount grown per year )

Unless there is a total of height or the amount of years there is no way to  complete this problem because there is an infinite number of possibilities.

The average number of stamps collected per day was 24.

1st day: 8 stamps

2nd day: 8 + 8 = 16 stamps

3rd day: 16 + 16 = 32 stamps

4th day: 32 + 32 = 64 stamps

5th day: 64 + 64 = 128 stamps

Total number of stamps collected

= 8 + 16 + 32 + 64 + 128

= 248 stamps

Average number of stamps collected per day

= 248 / 5

= 24 stamps

Margaret started a stamp collection and collected 8 stamps on the first day. On the second day she collected 8 more stamps, for a total of 16. On the third day she collected 16 more stamps, for a total of 32. On the fourth day she collected 32 more stamps, for a total of 64. On the fifth day she collected 64 more stamps, for a total of 128. In total, she collected 248 stamps over the five days. The average number of stamps collected per day was 24.

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The integral of (42³ - 2r + 7) dz is equal to (42³ - 2r + 7)z + C.

To integrate the function (42³ - 2r + 7) dz, we treat r as a constant and integrate with respect to z. The integral of a constant with respect to z is simply the constant multiplied by z:

∫ (42³ - 2r + 7) dz = (42³ - 2r + 7)z + C

where C is the constant of integration.

Note: The integral of a constant term (such as 7) with respect to any variable is simply the constant multiplied by the variable. In this case, the variable is z.

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The equation of each line given the y-intercept and x-intercept

5 and -4 is 4y- 20 = 5x.

The line has an x-intercept at x = -4 and y intercept at y = 5 this means that the line passes through the points(,0) and(,5).

Now we find the pitch m of the line passing through the points(,0) and(,5)(x-intercept).

The pitch of the line is

m = y2- y1/ x2- x1

= 5- 0/ 0-(- 4)

= 5/ 4

Point- pitch Formula y = m(x-x1)

where m is the pitch and( x, y) is the given point.

Now substituting the values

y- 0 = (5/4)( x-(- 4))

y = (5/4)( x 4)

4y- 20 = 5x

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The complete question :

Find the equation of the line that has an y intercept and x-intercept at

5 and -4.

​

9514 1404 393

Answer:

  175.2 square feet

Step-by-step explanation:

The lateral area is the total area of the side faces. It excludes the area of the top and bottom "bases" of the prism.

It can be found by adding the areas of the four rectangles. The two you can't see have the same areas as the two you can see.

Since the height of each rectangle is 4 feet. the total area will be the product of that and the perimeter of the prism.

  LA = Ph . . . . perimeter times height

  LA = 2(L+W)h . . . . the perimeter is twice the sum of length and width

  LA = 2(12.3 ft + 9.6 ft)(4 ft) = 2(21.9 ft)(4 ft) = 175.2 ft²

The lateral area of the prism is 175.2 ft².

__

The attachment shows scribbling on two of the faces that contribute to the lateral area. As stated above, the other two faces are the same size as these.

Answer:

p=1

Step-by-step explanation:

4p - 3(p + 5) = 3p - 17

Distribute

4p -3p -15 = 3p -17

Combine like terms

p -15 = 3p -17

subtract p from each side

p-p -15 = 3p -17-p

-15 = 2p -17

Add 17 to each side

-15+17 = 2p -17+17

2 = 2p

Divide by 2

2/2 = 2p/2

1 =p

Answer:

Need points! Give brainliest! (a useless mod deleted all my answers for no reason)

Step-by-step explanation:

4p -3p-15 = 3p-17

2 = 2p

p = 1