While attending a baseball game, Eva buys hamburgers and hotdogs for her family. The number of hotdogs bought is five more than the number of hamburgers bought. Hamburgers cost $6.25 each and hotdogs cost $3.75 each. Eva spent a total of $58.75 on the hamburgers and hotdogs.

a) let n be the number of hamburgers Eva bought. Set up an equation that models the information given in the problem

b) how many hamburgers did Eva by?



I need a answer by Monday

Answers

Answer 1

Answer:

Number of hamburgers bought = 4

Number of hotdogs bought = 9

Step-by-step explanation:

Let

Number of hamburgers bought = n

Number of hotdogs bought = n + 5

Hamburgers cost = $6.25

Hotdogs cost = $3.75

Total cost = $58.75

6.25n + 3.75(n + 5) = 58.75

Open parenthesis

6.25n + 3.75n + 18.75 = 58.75

Collect like terms

6.25n + 3.75n = 58.75 - 18.75

10n = 40

Divide both sides by 10

n = 40 / 10

= 4

n = 4

Number of hamburgers bought = n = 4

Number of hotdogs bought = n + 5

= 4 + 5

= 9


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Find five rational numbers between ⅗ and ⅘.

Answers

Answer:

2/3, 3/4, 7/10, 11/17, 13/17

Step-by-step explanation:

2/3,3/4,7/10,11/17, 13/17

Broody is makeing trailmix for a hike he is takeing some friends. He used 6 cups of peanuts,4 cups of cashoe, 3 cups of choclate chips and 2 cups of raisins.Be mixed it all up and put a equal amount of trail mix into 5 bags.How many cups of trail mix did he put in each bag?

Answers

Answer:

The answer is 3.

Step-by-step explanation:

To answer this, you have to find the total amount of cups he had to begin with. You add the cups of peanuts, cashews, chocolate chips, and raisins together, which equals 15 cups. Then, he divided it evenly into 5 bags, which means he put 3 cups of trail mix into each bag.

use a known maclaurin series to obtain a maclaurin series for the given function. f(x) = xe5x

Answers

The maclaurin series for the given function xe⁵ˣ = x + 5x² + (25x³)/2! + (125x⁴)/3! + ...

To find the Maclaurin series for the function f(x) = xe⁵ˣ, we can utilize the Maclaurin series expansion of the exponential function, eˣ:

eˣ = 1 + x + (x²)/2! + (x³)/3! + ...

Substituting 5x for x in the above expansion, we have:

e⁵ˣ = 1 + 5x + (5x)²/2! + (5x)³/3! + ...

Multiplying the above series by x, we get:

xe⁵ˣ = x + 5x² + (25x³)/2! + (125x⁴)/3! + ...

This is the Maclaurin series for the function f(x) = xe⁵ˣ.

The calculation involves applying the Maclaurin series expansion of the exponential function to the function f(x) = xe⁵ˣ by substituting 5x for x in the series expansion. Then, multiplying the resulting series by x gives us the desired Maclaurin series for f(x).

The series can be continued by following the pattern of increasing powers of x, with the coefficients determined by the corresponding terms in the expansion.

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question 5 a data analyst creates a scatterplot with a lot of data points. the analyst wants to make some points on the plot more transparent than others. what aesthetic should the analyst use?

Answers

Analyzers should use the Alpha aesthetic. Using the Alpha aesthetic, specific points on a scatterplot are more transparent than others to highlight specific data points.

What is a scatterplot?

A scatter plot is a collection of dots that are plotted along horizontal and vertical axes. Scatter plots are essential in statistics (also known as variables) for illustrating whether or not there is a link between observed quantities or events. A scatter plot displays data points on a horizontal and vertical axis to highlight the effect of one variable on another. Each row in the data table is represented by a marker, the location of which is determined by the column values on the X and Y axes. This line illustrates the prevalent direction of a phenomena using a scatter plot. A trend line can be used in a scatter plot to indicate the direction and pace of price changes.

Here,

The Alpha aesthetic should be used by analysts. To emphasize certain data points, use the Alpha aesthetic to make specific points on a scatterplot more transparent than others.

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An elementary class was surveyed about what pet they owned. The results are shown below. Part A - What is the relative frequency/experimental probability that a student will have a lizard as a pet?Part B - What is the theoretical probability of a student having a lizard as a pet?Part C - Describe the difference between the relative frequency and theoretical probability.

An elementary class was surveyed about what pet they owned. The results are shown below. Part A - What

Answers

Here, we want to describe the difference between relative frequency and theoretical probability

Firstly, we need the values for the theoretical probability and relative frequency

To get the theoretical probability, we only need to divide the number of frequencies of lizards by the total frequency

The total frequency is;

13 + 7 + 5 + 10 + 7 + 5 = 47

The theoretical probability is thus;

\(\frac{10}{47}\)

Now, we need the value for the relative frequency

That would be expressed as a percentage and that is;

\(\frac{10}{47}\times\text{ 100\% = 21\%}\)




Q4. Find the particular solution for the following non-homogeneous system of first- order linear differential equation. Y = 54 -5x² +6x+25 5 Y(0)= 1 2 -x²+2x+4

Answers

The particular solution for the given non-homogeneous system of first-order linear differential equations is:

\(Y = 54x - (5/3)x^3 + 3x^2 + 25x + 16\)

To find the particular solution for the non-homogeneous system of first-order linear differential equations, we need to substitute the given values into the system and solve for the unknown coefficients.

The given system is:

\(Y' = 54 - 5x^2 + 6x + 25\\Y(0) = 12 - x^2 + 2x + 4\)

Differentiating the second equation, we have:

\(Y'(0) = -2x + 2\)

Now, let's substitute these values into the first equation:

\(Y' = 54 - 5x^2 + 6x + 25\)

Since there are no derivatives of Y in the equation, we can integrate both sides with respect to x to find the particular solution:

\(\int Y' dx = \int (54 - 5x^2 + 6x + 25) dx\)

Integrating each term separately, we get:

\(Y = 54x - (5/3)x^3 + 3x^2 + 25x + C\)

Now, using the initial condition\(Y(0) = 12 - x^2 + 2x + 4\), we can substitute x = 0 and \(Y = 12 - x^2 + 2x + 4\) into the equation to solve for the constant C:

\(12 - 0 + 2(0) + 4 = 54(0) - (5/3)(0^3) + 3(0^2) + 25(0) + C\)

16 = C

C= 16

Therefore, the particular solution for the given non-homogeneous system of first-order linear differential equations is:

\(Y = 54x - (5/3)x^3 + 3x^2 + 25x + 16\)

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please help me answer this question asap

please help me answer this question asap

Answers

Answer:

It's quite easy

Step-by-step explanation:

people less than 30 years = frequency of people 0 to 15 + 15 to 30 = 8+15 =23

Therefore there are 23 people less than 30 years old.

pls mark me as brainliest pls.

expanded in 5th grade

Answers

Answer:

What expanded?

Step-by-step explanation:

Answer:

What expanded?

Step-by-step explanation:

Jane has cupcakes for sale and needs to increase the prices because the price of eggs went up. Each cupcake now costs 75 cents. She will increase the price by x cents so the expression for one cupcake is (x + 0.75). Choose the expression that represents the price for 80 cupcakes and is correctly distributed.
a. 80(x + 0.75) = x + 60
b. 80(x + 0.75) = 80x + 0.75
c. 80(x + 0.75) = x + 6000
d. 80(x + 0.75) = 80x + 60

Answers

Answer:

40(x + 0.55) = 40x + 22

Step-by-step explanation:

-7 a rational or irrational number

Answers

Irrational number
There is a chart on goggle

Given: ∆MNP, PM = 8 m∠P = 90°, m∠N = 58° Find: Perimeter of ∆MNP

(Not 22.4 or 22.43)


Please answer ASAP, brainly awarded.

Answers

Answer:

Step-by-step explanation:

Triangle MNP is a right triangle with the following values:

m∠P = 90°m∠N = 58°PM = 8

Interior angles of a triangle sum to 180°. Therefore:

m∠M + m∠N + m∠P = 180°

m∠M + 58° + 90° = 180°

m∠M + 148° = 180°

m∠M = 32°

To find the measures of sides MN and NP, use the Law of Sines:

\(\boxed{\begin{minipage}{7.6 cm}\underline{Law of Sines} \\\\$\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}$\\\\\\where:\\ \phantom{ww}$\bullet$ $A, B$ and $C$ are the angles. \\ \phantom{ww}$\bullet$ $a, b$ and $c$ are the sides opposite the angles.\\\end{minipage}}\)

Substitute the values into the formula:

\(\dfrac{MN}{\sin P}=\dfrac{NP}{\sin M}=\dfrac{PM}{\sin N}\)

\(\dfrac{MN}{\sin 90^{\circ}}=\dfrac{NP}{\sin 32^{\circ}}=\dfrac{8}{\sin 58^{\circ}}\)

Therefore:

\(MN=\dfrac{8\sin 90^{\circ}}{\sin 58^{\circ}}=9.43342722...\)

\(NP=\dfrac{8\sin 32^{\circ}}{\sin 58^{\circ}}=4.99895481...\)

To find the perimeter of triangle MNP, sum the lengths of the sides.

\(\begin{aligned}\textsf{Perimeter}&=MN+NP+PM\\&=9.43342722...+4.99895481...+8\\&=22.4323820...\\&=22.43\; \sf units\; (2\;d.p.)\end{aligned}\)

Given: MNP, PM = 8 mP = 90, mN = 58 Find: Perimeter of MNP(Not 22.4 or 22.43) Please answer ASAP, brainly

It's make-your-own-dish night at your favorite pasta restaurant. The restaurant offers 5 types of pasta and 4 different sauces. You get to choose one of each.

Answers

Answer:

there are 20 different combinations if that was the question.

Step-by-step explanation:

Formula :

Combination(event 1) times Combinations (Event2)

Answer:

Diagram B

Step-by-step explanation:

Khan Academy

THIS IS URGENT PLEASE GAW DAMMIT ;-;
Using the graph, determine the coordinates of the x-intercepts of the parabola.

THIS IS URGENT PLEASE GAW DAMMIT ;-; Using the graph, determine the coordinates of the x-intercepts of

Answers

Answer:

i believe the answer would be -1 and 6

Answer:

Coordinates are (5,0) & (7,0)

Just refer to the point where the graph intersects the x-axis I think.

biologist zing yang kuo demonstrated that a cat had been raised from birth with a rat in the same cagewould attack netiehr that specific rat nor other rats this research suggests that

Answers

Kuo's research emphasizes the role of learning in shaping an animal's behavior and highlights the importance of early experiences in shaping social behavior. This research has important implications for the fields of biology, animal behavior, and animal welfare.

Biologist Zing Yang Kuo's research demonstrated that a cat raised from birth with a rat in the same cage would not attack that specific rat or other rats. This research suggests that the cat's behavior towards rats is learned and not solely based on instinct. The results of this study have implications for understanding the role of early experiences in shaping an animal's behavior towards other species.

The study highlights the importance of socialization in shaping an animal's behavior. Animals raised in isolation from their own species may exhibit abnormal behaviors and may not develop appropriate social skills. In the case of the cat raised with the rat, the presence of the rat from an early age prevented the cat from perceiving the rat as prey.

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Mr. saslow has $32 for the class party. he spends $17 on the drinks and the cake. which of the inequalities represents the money he could spend on candy?

Answers

Answer:

I don't see any options for inequalities, so I wrote one based on the information.

Step-by-step explanation:

We'll assume that the drinks and cake ($17) are the only items Mr. Saslow needs to purchase and that the remainder may be used on whatever extras he wants.  In this case, candy.

He starts with $32 and spends $17.  The remainder may be spent on candy (all or none).  This can be expressed as an inequality.  Let C be the cost of the candy.

  C \(\leq\) ($32 - $17)

   C \(\leq\) ($32 - $17)

  C \(\leq\) ($15)

I desperately need this answers by 12am central time tonight.

The question says: a parking garage charges 5$ for the first hour, $10 for Up to two hours, and $12 for the entire day. Let G be the cost of parking for T hours.

The picture shows that it is asking me to graph the function and neither me or my family understands this.

I desperately need this answers by 12am central time tonight. The question says: a parking garage charges

Answers

It would cost $25 to park in this parking garage for 5 hours.

A graph the linear function is shown in the image attached below.

How to write and plot the equation graphically?

In order to write and plot an equation that models the relationship between parking garage charges and the number of hours graphically, we would assign variables to the cost of parking and number of hours, and then translate the word problem into algebraic equation as follows:

Let the variable G represent the cost of parking.Let the variable T represent the number of hours (time).

Since the parking garage charges $5 for the first hour, $10 for up to two hours, and $12 for the entire day, an equation which represents the cost of parking for T hours is given by;

G = 5T

When the number of hours (T = 5 hours), the cost of parking is given by;

G = 5 × 5

G = $25.

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Complete Question:

A parking garage charges $5 for the first hour, $10 for up to two hours, and $12 for the entire day. Let G be the dollar cost of parking for t hours. How much would 5 hours cost?

I desperately need this answers by 12am central time tonight. The question says: a parking garage charges

∛a² does anyone know it

Answers

The equivalent expression of the rational exponent ∛a² is \((a)^{\frac{2}{3}\).

What is a rational exponent?

Rational exponents are exponents that are fractions, where the numerator is a power and the denominator is a root.

So rational exponents (fractional exponents) are exponents that are fractions or rational expressions.

To determine the rational exponent equivalent to the expression given, we will apply the power rule of indices as shown below.

The given expression is ;

∛a²

The rational exponent is calculated as follows;

∛a² = \((a)^{\frac{2}{3}\)

Thus, based on exponent power rule, the given expression is equivalent to ∛a² = \((a)^{\frac{2}{3}\)

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The complete question is below:

Find the equivalent expression of the rational exponent ∛a². does anyone know it

the festival starts out with n attendees. each person is numbered from 0 to n - 1.

Answers

The festival is a time for people to come together and celebrate. People come from all over the world to participate in the festivities.

In a festival, the attendees are numbered from 0 to n - 1. The total number of attendees at the beginning of the festival is n. The festival begins with n attendees, and each person is numbered from 0 to n - 1. It's essential to note that the numbering convention begins at 0, and the last person is numbered n - 1, as stated above.As a result, if there are ten people at the festival, they will be numbered from 0 to 9. The festival's organisers, who are aware of the attendees' numbering convention, arrange a number of events to make the festival enjoyable for everyone. Each event has a specific set of rules, and the attendees must follow them to avoid being disqualified.The festival is a time for people to come together and celebrate. People come from all over the world to participate in the festivities. Some of the events include games, competitions, cultural dances, and music performances. The festival is an excellent opportunity for people to learn about different cultures, make new friends, and have a good time.In conclusion, the festival starts out with n attendees, and each person is numbered from 0 to n - 1. The festival's organisers arrange a number of events to make the festival enjoyable for everyone. The festival is a time for people to come together and celebrate.

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in a class in which the final course grade depends entirely on the average of four equally weighted 100-point tests, mark has scored 90, 86, and 85 on the first three. what range of scores on the fourth test will give mark a c for the semester (an average between 70 and 79, inclusive)? assume that all test scores have a non-negative value.

Answers

Answer:

b/w 19 & 55

Step-by-step explanation:

average of four equally weighted 100-point tests,

mark has scored 90, 86, and 85 on the first three.

C average = 70 and 79

90+86+85+x = 4*70 = 280, so x=19

90+86+85+x = 4*79 = 316, so x=55

Use completing the square to solve for x in the equation (x 7) (x minus 9) = 25.

Answers

The values of \(x\) are \(1+\sqrt{89}\) and \(1-\sqrt{89}\).

To find the values of x:

Given equation: \((x+7)(x-9)=25\)

Then: \(x(x-9)+7(x-9)=25\)

Using the distributive property: \(a.(b+c)=a.b+a.c\)

\(x^{2} -9x+7x-63=25\)

Combine like terms:

\(x^{2} -2x-63=25\)

Subtract 25 from both sides and obtain:

\(x^{2} -2x-88=0\)

Using completing square form:

Add and subtract \((\frac{2}{2} )^{2} =1\) we have:

\(x^{2} -2x-88+1-1=0\\(x-1)^{2} -89=0\)

Add 89 to both sides we have:

\((x-1)^{2} =89\)

Taking square roots on both sides, obtain:

\(x-1=\) ± \(\sqrt{89}\)

Add 1 to both sides we have:

\(x=1\)±\(\sqrt{89}\)

Therefore, the values of \(x\) are \(1+\sqrt{89}\) and \(1-\sqrt{89}\).

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The complete question is given below:

Use completing the square to solve (x + 7)(x – 9) = 25 for x.

James started with 25 pieces of gum and gave away x pieces. Cory started with 30 pieces of gum and gave away twice as many pieces as James did. How many pieces of gum did James give away if the two boys had the same number of pieces of gum left?

Can someone please solve this problem for me? It’s equations and inequalities, by the way.

Answers

Answer:5

Step-by-step explanation: James started with 25 pieces and gave away 5 pieces of gum, Cory started with 30 pieces gave twice as much(10 pieces of gum) 25-5=20 and 30-10=20 so they both ended with 20 pieces of gum

Answer:

James must've given away 5 pieces of gum because, of course, 25 - 5 would be 20, and if Cory gave away twice as much he'd be giving away 10, and 30 - 10 is 20. So the answer is 5

Step-by-step explanation:

The sum of three consecutive odd integers is 75 . Find the value of the middle of the three.

Answers

The value of the middle of the three is 25.

Let x be the first odd integer, then the next two consecutive odd integers are x+2 and x+4. The sum of these three consecutive odd integers is given as 75, so we can write the equation:

x + (x+2) + (x+4) = 75

Simplifying the left side of this equation gives:

3x + 6 = 75

Subtracting 6 from both sides gives:

3x = 69

Dividing by 3 gives:

x = 23

So the first odd integer is 23, and the next two consecutive odd integers are 25 and 27. The middle of these three is the second consecutive odd integer, which is 25. Therefore, the value of the middle of the three is 25.

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The manufacturer of a popular brand of markers is planning to release a new color. To determine which color to add, it mailed out surveys to 5,000 of its customers regarding the general color family they prefer. The returned results are shown in this pie chart.

A Pie Chart with four sections representing the color preferences Blues, Greens, Yellows, and Pinks

Based on the results, one member of the management team says they should choose the new color from the blue family of colors since a majority of people prefer those colors.

Another member doesn’t agree and thinks they should do more research. Which statements would support her request?

Answers

The percentage obtained from the pie chart for different colors are Blue =29%, Green = 25%, Yellow = 24%, & Pink = 22%.

As per the results of the survey, Blue color received 29% votes so it must be chosen as the new color for receiving majority votes but as the other three colors also received almost similar percentage of votes. So, the manufacturer must do more research in order to reach on any conclusion.

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The manufacturer of a popular brand of markers is planning to release a new color. To determine which

what is the value of y

what is the value of y

Answers

Answer:

100°

Step-by-step explanation:

180 - 80 = 100

The line is 180 so you take away what you already know (80) and then you have 100.

Answer:

180 degree (exterior angle ) please follow and like me

You buy a pair of jeans (j) that cost $12, two pair of socks (s) for $2 each, and three tops (t) that cost $6 each. Which expression represents this situation and how much did u=you spend. j + 2s + 3t = $36 2j + 3s + t = $34 j + 2s + 3t = $34 2j + 3s + t = $36

Answers

Answer:

j + 2s + 3t = $34

Step-by-step explanation:

Answer: 36$ IS NOT the correct price. 4+12+18 = 34. But, j+2s+3t=36 is the correct choice. of the two.

Step-by-step explanation:

Combine like terms: ab-a2+42-5ab+3a2+10

Answers

Answer:

   -4AB+2A2+52

Step-by-step explanation:

1. FIRST WE PUT THE LIKE TERMS TOGETHER (REARRANGE THE PROBLEM)

AB-5AB-A2+3A2+42+10

2. SIMPLIFY ALL LIKE TERMS

-4AB+2A2+52

YOUR DONE!!!!!!

HOPE I HELPED

CAN I GET BRAINLIEST PLS? (DESPERATELY TRYING TO LEVEL UP)

         -ZYLYNN JADE

Blocking an experimental design is useful because

Answers

Answer:

it controls for multiple variables in an experiment.

Step-by-step explanation:

pls mark as brainliest

A rectangular box contain 782 apples. If there are 23 rows in a box, how many columns are there?
Select one:
O a. 23
O b. 34
O c. 35
O d. 40

Answers

Answer:

34343434343434343434

a line that passes through (3,5) and (4,13)

Answers

Answer:

y = 8x-19

Step-by-step explanation:

The first step is to find the slope.

m= ( y2-y1)/(x2-x1)

  = ( 13-5)/(4-3)

   = 8/1

  = 8

Then we can use the slope intercept formula.

y = mx+b

y = 8x+b

Substitute a point to find the intercept.

5 = 8*3+b

5 = 24+b

-19 = b

The formula is

y = 8x-19

Answer:

y = 8x - 19

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (3, 5 ) and (x₂, y₂ ) = (4, 13 )

m = \(\frac{13-5}{4-3}\) = \(\frac{8}{1}\) = 8 , then

y = 8x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (3, 5 )

5 = 8(3) + c = 24 + c ( subtract 24 from both sides )

- 19 = c

y = 8x - 19 ← equation of line

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