members of the band raised $967.50 to attend a festival. they rented a bus for $450 and budgeted $28.75 per person for food. they will spend all the money they raised. I need to write and solve an equation to determine the number of people the marching band could bring

The value of x will be 17 for the given parallelogram.

A parallelogram is a quadrilateral with two pairs of parallel sides. The opposite angles of a parallelogram are congruent, which means they have the same measure. This property is known as the parallelogram angle property.

The sum of the two consecutive angles of a parallelogram is 90 degrees.

The value of x will be calculated as,

2x + 3x + 5 = 90

5x + 5 = 90

x + 1 = 18

x = 17

Therefore, the value of x will be 17.

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Answer:

The convenience store has a markup amount of $30 on the pre-paid mobile phones and the retail price is $42

Step-by-step explanation:

The purchase price of the pre-paid mobile phones is $12.

The convenience store uses a markup rate of 250%.

The markup amount is:

250 * 12 / 100 = 30

The retail price is the purchase price plus the markup amount:

Retail price = $12 + $30 = $42

The convenience store has a markup amount of $30 on the pre-paid mobile phones and the retail price is $42

AB = 3

The area of the square ABCD

= (3)^2 square units

= 9 square units.

The answer is 9 square units

Answer:

206.6 recurring / 206.7

Step-by-step explanation:

The step by step is in the attached picture :-)

Answer:

m-5<-8

you first add 5 to both sides so that to the left side you only have m

m-5+5<-8+5

m<-8+5

m<-3

every number that is smaller than -3 can make it true

From the information provided the measure of the angles are given as,

m ∠EFH = 71; and m ∠EFG = 142°.

Angles are measured in degrees, which is why they are called "degrees". A complete circle equals 360 degrees, so it is divided into 360 parts. Each part of the revolution is a degree. Any angle, whether acute, obtuse, reflected or right, can be measured with a protractor. Although based on right angles, we are able to distinguish acute, obtuse or reflex angles. But if we have two acute angles to measure, we cannot determine the greater angle between the two. Therefore, we need to use a protractor to measure angles accurately.

According to the Question:

It is to be noted that

m ∠GFH = m ∠EFH

⇒ m ∠EFH = 71°

⇒ m ∠EFG = m ∠GFH + m EFH

Hence,

m ∠EFG = 71 + 71

              = 142°

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Answer:

x=9-3y

Step-by-step explanation:

- Move the variable to the right & change its sign

3x + 9y = 27

- Divide both sides by 3

3x = 27 - 9y

- Write the solution x in parametric form

x=9-3y

- Solution:

x= 9-3y

\( {x}^{8} + {x}^{4} + 1 - (24)(7) - 45\)

the simplest form.

\( {x}^{8} + {x}^{4} + 1 - (24)(7) - 45\)

\( = {x}^{8} + {x}^{4} + 1 - 168 + - 45\)

\( = ( {x}^{8} ) + ( {x}^{4} ) + (1 + - 168 + - 45)\)

\( = {x}^{8} + {x}^{4} - 212\)

To find the points on the graph of the function f(x) = 4x^2 - 2x + 3 where the tangent line is horizontal, we need to determine if there are any critical points.

In order for the tangent line to be horizontal at a point on the graph of a function, the derivative of the function at that point must be equal to zero. Let's find the derivative of f(x) with respect to x:

\(\[ f'(x) = 8x - 2 \]\)

Setting the derivative equal to zero and solving for x:

\(\[ 8x - 2 = 0 \]\[ 8x = 2 \]\[ x = \frac{1}{4} \]\)

Thus, the derivative of f(x) is equal to zero at x = 1/4. This implies that the tangent line to the graph of f(x) is horizontal at the point (1/4, f(1/4)).

Therefore, the correct choice is A. The point(s) at which the tangent line is horizontal is (1/4, f(1/4)).

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Answer:

Lines that are parallel have the same gradient.

Since the line is y=-5/6x-4,the gradient of the line parallel to this line is also -5/6.

So the equation of the line parallel to y=-5/6x-4 is y-(-2)=-5/6(x-(-6))--->y=-5/6x-7.

Lines that are perpendicular fulfill the requirement: gradient 1×gradient 2=-1 . Then once you find the gradient of the line, you can find the equation of the line.

It is unlikely that carrying more or fewer pencils in one's backpack would have a direct impact on GPA.

To determine if there is a relationship between a student's GPA and the number of pencils in their backpack, Jordynn and Angie would need to conduct the following steps:

If a correlation is found, then it suggests that there may be a relationship between the students' GPA and the number of pencils in their backpack. However, in this case, it is unlikely that carrying more or fewer pencils in one's backpack would have a direct impact on GPA.

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The solution to the inequality 13x|20 is all real numbers, as any value of x, no matter how small or large, will make the statement true.

The way to address inequity Using only real values, 13x|20. This means that there is no single solution to this inequality. The inequality is essentially asking what values of x will make the statement true. In this case, any value of x, no matter how small or large, will make the statement true. This is because the absolute value of x is being taken, which means that the value of x is being evaluated regardless of the sign--whether it is positive or negative. For example, if x is -1, then 13x|20 would be 13(-1)|20, which simplifies to -13|20, or 20. This means that no matter what the value of x is, it will always make the statement true. Therefore, the solution to the inequality is all real numbers.

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Answer: 527.79

Step-by-step explanation:

since the formula is 2pirhx2pir^2 you would put into the calculator, 2pi7(5)x2pi7^2

The rate of return of approximately 17.95% in the third year would produce a cumulative gain of 7% after two consecutive years of 6% losses.


To solve the problem completely, let's calculate the rate of return required in the third year to achieve a cumulative gain of 7% after two consecutive years of 6% losses.

1. Calculate the total loss over the two years:

  Total loss = (1 - 0.06) * (1 - 0.06) = 0.9416

2. Calculate the target cumulative gain:

  Cumulative gain = 1 + 0.07 = 1.07

3. Set up the equation to solve for the rate of return:

  1 + Rate of return = Cumulative gain / (1 - Total loss)

4. Substitute the values into the equation:

  1 + Rate of return = 1.07 / (1 - 0.9416)

  1 + Rate of return = 1.07 / 0.0584

5. Solve for the rate of return:

  Rate of return = (1.07 / 0.0584) - 1

  Rate of return ≈ 17.95%

Therefore, a rate of return of approximately 17.95% in the third year would be needed to achieve a cumulative gain of 7% after two consecutive years of 6% losses.

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Answer:

Instructions are below.

Step-by-step explanation:

Giving the following information:

Fixed costs= 4,000 + 10,000= $14,000

Unitary variable cost= $5.5

Selling price= $7.2

To calculate the number of units to be sold to break-even, we need to use the following formula:

Break-even point in units= fixed costs/ contribution margin per unit

Break-even point in units= 14,000 / (7.2 - 5.5)

Break-even point in units= 8,235 units

In dollars:

Break-even point (dollars)= fixed costs/ contribution margin ratio

Break-even point (dollars)= 14,000 / (1.7/7.2)

Break-even point (dollars)= $59,294

Now, imagine the company requires a profit of $50,000:

Break-even point in units= (fixed costs + desired profit) / contribution margin per unit

Break-even point in units= 64,000/1.7

Break-even point in units= 37,647 units

Break-even point (dollars)= (fixed costs + desired profit) / contribution margin ratio

Break-even point (dollars)= 64,000 / (1.7/7.2)

Break-even point (dollars)= $271,059

The simple percent interest per year is 8%.

Simple interest is the borrowing amount added only to the principal amount.

The Formula to calculate the simple interest is;

                                                 S.I. = P x T x R / 100,

Where S.I. is simple interest, P is the principal amount, T is the time period and R is the interest rate in a year.

Given:

Isaac invests money in an account paying simple interest.

He invests $120 and no money is added or removed from the investment. After one year, he has $129.60.

So,

A - P = I

I = 129.6 - 120

I = $9.6

So, P x R x T/100 = I

9.6(100) = 120 R

R = 960/120

R = 8%.

Therefore, the rate is 8%.

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To determine the constant of proportionality between U.S. dollars and British pounds, examine the table of conversion rates. Look for a consistent ratio between the amounts in U.S. dollars and British pounds. This ratio represents the constant of proportionality.

The constant of proportionality in this context refers to the rate at which Therese's U.S. dollars can be converted to British pounds. To determine the constant of proportionality, we need to analyze the table provided.
The table contains conversion rates for different amounts of U.S. dollars. It likely includes two columns: one for the amount of U.S. dollars and another for the corresponding amount in British pounds. By examining the table, we can determine the rate at which the conversion occurs.

To find the constant of proportionality, we can look for a consistent ratio between the amounts in U.S. dollars and British pounds. For example, if we divide the amount in British pounds by the amount in U.S. dollars for each row in the table, we might find that the ratio is the same for all rows. This ratio would represent the constant of proportionality.
Let's take an example to illustrate this. Suppose we have the following data from the table:
Amount in U.S. dollars: 100, 200, 300
Amount in British pounds: 70, 140, 210
If we calculate the ratio of British pounds to U.S. dollars for each row, we get:
70/100 = 0.7
140/200 = 0.7
210/300 = 0.7

In this case, we can see that the ratio is consistent across all rows and equals 0.7. Therefore, the constant of proportionality is 0.7. This means that for every 1 U.S. dollar, Therese can exchange it for 0.7 British pounds.
To determine the constant of proportionality for the specific table provided, you need to follow a similar process by examining the conversion rates and identifying the consistent ratio between the amounts in U.S. dollars and British pounds.

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Answer:

a) 2300 ml = 2.3 l

b) 9400 ml = 9.4 l

c) 9 l = 9000 ml

d) 7 l = 7000 ml

e) 9.7 l = 9700 ml

f) 670 ml = 0.67 l

g) 217 ml = 0.217 l

h) 1200 ml = 1.2 l

Step-by-step explanation:

For converting milliliter to liter, divide the number (ml) by 1000. For converting liter to milliliter multiply the number (l) by 1000.

Answer:

x= -6

Step-by-step explanation:

Factor out x to find it

Answer:

Length is 7 units

Step-by-step explanation:

width- w

L- length

W+3=L
(w)(l)=28

hopes this helps

Answer: 80

Step-by-step explanation:

x^3 = 2^3 so 2*2*2=8

y^1= 10

so 8*10 = 80

Based on the computed 95% confidence interval, we can conclude that we are 95% confident that the true population mean falls within the range of 12.65 to 25.65.

A confidence interval is a range of values that provides an estimate of the true population parameter. In this case, we are interested in estimating the population mean (μ). The 95% confidence interval, as mentioned, is given as 12.65 ≤ μ ≤ 25.65.

Interpreting this confidence interval, we can say that if we were to repeat the sampling process many times and construct 95% confidence intervals from each sample, approximately 95% of those intervals would contain the true population mean.

The confidence level chosen, 95%, represents the probability that the interval captures the true population mean. It is a measure of the confidence or certainty we have in the estimation. However, it does not guarantee that a specific interval from a particular sample contains the true population mean.

Therefore, based on the computed 95% confidence interval, we can conclude that we are 95% confident that the true population mean falls within the range of 12.65 to 25.65.

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The equation that could be solved to get the same answer is B 5(x+23)=44.5

An equation is an expression that shows the relationship between two or more numbers and variables.

A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.

WE are given that Julia correctly solved a math problem by first dividing 44.5 by 5, then subtracting 23 from the answer.

First;

44.5 /5 = 8.9

Then subtracting 23 from it

8.9 - 23

= 14.1

Therefore, we can write as 5(x+23)=44.5

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Given:

\(ABDF\sim VXZT\)

To find:

The pairs of congruent angles and the extended proportion that relates the corresponding sides for the similar polygons.

Solution:

We have,

\(ABDF\sim VXZT\)

The corresponding angles of similar polygons are congruent. So,

\(\angle A\cong \angle V\)

\(\angle B\cong \angle X\)

\(\angle D\cong \angle Z\)

\(\angle F\cong \angle T\)

The corresponding sides of similar polygons are proportional. So,

\(\dfrac{AB}{VX}=\dfrac{BD}{XZ}=\dfrac{DF}{ZT}=\dfrac{A F}{VT}\)

Therefore, the required solutions are \(\angle A\cong \angle V,\angle B\cong \angle X,\angle D\cong \angle Z,\angle F\cong \angle T\) and \(\dfrac{AB}{VX}=\dfrac{BD}{XZ}=\dfrac{DF}{ZT}=\dfrac{A F}{VT}\).

Answer:

y = 15x^3 + 16x^2 - 55x + 24

Step-by-step explanation:

y = (3x +8)(5x - 3)(x - 1)

y = (15x^2 - 9x + 40x -24) * (x - 1)

y = (15x^2 + 31x - 24) * (x-1)

y = 15x^3 - 15x^2 + 31x^2 - 31x - 24x + 24

The x-intercepts of a graph are the points where the graph crosses the x-axis.

The x-intercepts are: \(\mathbf{x = ,-\frac83, \frac 35\ and\ 1}\)

The function is given as:

\(\mathbf{y = (3x + 8)(5x - 3)(x - 1)}\)

First, we plot the graph of \(\mathbf{y = (3x + 8)(5x - 3)(x - 1)}\)

See attachment for the graph

Next, write out the x-values when the graph crosses the x-axis.

From the graph, we have:

\(\mathbf{x = -\frac 83}\)

\(\mathbf{x = \frac 35}\)

\(\mathbf{x = 1}\)

Hence, the x-intercepts are: \(\mathbf{x = ,-\frac83, \frac 35\ and\ 1}\)

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a. the mean is 200.31 cm. b. The height of the new player is 210 cm.

The mean, commonly referred to as the average, is a statistic that depicts the usual value of a group of data and measures central tendency. It is calculated by adding up all of the data set's values and dividing the result by the total number of values. Since it offers a single value that summarises the complete set of data, the mean is an effective statistical tool. It may, however, be vulnerable to outliers or extremely high or low values that affect the mean's value. As a result, while examining data, it is crucial to take additional measures of central tendency into account, such as the median or mode.

The mean or average is given as:

mean = (sum of all heights) / (number of players)

The total number of players are:

1 + 3 + 2 + 5 + 2 = 13

Sum of heights is:

(198 x 1) + (199 x 3) + (200 x 2) + (201 x 5) + (202 x 2) = 198 + 597 + 400 + 1005 + 404 = 2604

Thus,

mean = 2604 / 13 = 200.31 cm

b. For the new player the number of players are 14:

201 = (2604 + height of new player) / 14

201 x 14 = 2604 + height of new player

2814 = 2604 + height of new player

height of new player = 2814 - 2604 = 210 cm

Hence, a. the mean is 200.31 cm. b. The height of the new player is 210 cm.

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A sum of squares that measures the variability among the sample means is called the total sum of squares.

According to the statement

we have to explain about in the sample means, The sum of squares that measures among the variability.

So, For this purpose, we know that the

The variation is comprised the sum of the squares of the differences of each mean with the grand mean.

And

A one-way ANOVA is used for three or more groups of data, to gain information about the relationship between the dependent and independent variables.

In other words, Variability, is the extent to which data points in a statistical distribution or data set from the average value.

So, for all this, A sum of squares that measures the variability among the sample means is called the total sum of squares.

Hence, A sum of squares that measures the variability among the sample means is called the total sum of squares.

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