Jordan wants to use the Starz princess hall, the Dynamic DJ's as his music And Roscoe's for his equipment. If Jordan has a total of $800 and wants the music to play for 4 hours, how many people can Jordan party?

Jordan Wants To Use The Starz Princess Hall, The Dynamic DJ's As His Music And Roscoe's For His Equipment.

Answers

Answer 1

The number of people that can attend Jordan's party would be; 50 people.

What is equation?

The equation that represents the total amount that would be spent at the party would be a linear equation. A linear equation increases at a constant rate.

The form of the linear equation will be;

The Total amount = rental fee + (charge per hour of the Dynamic DJ x number of hours he plays) + (cost per person of Roscoe's rentals x number of people)

Now substitute;

$800 = $400 + ($50 x 4) + ($4 x p)

$800 = $400 + $200 + 4p

$800 = $600 + 4p

$800 - $600 = 4p

$200 = 4p

p = $200 / $4

p = 50 people

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Related Questions

Problem solving.When two expressions are not equivalent, you can use an inequality symbol to show their relationship. Do you ever use an inequality symbol when two expressions are equivalent? Use an example in your explanation.

Answers

Explanation

When two expressions are not equivalent, you can use an inequality symbol

[tex]\begin{gathered} \leq\Rightarrow less\text{ or equal } \\ \ge\Rightarrow greater\text{ or equal } \\ >\Rightarrow greater\text{ than } \\ <\Rightarrow smaller\text{ than} \end{gathered}[/tex]

now, when comparing two expressions that are equivalent , WE CAN NOT USE an inequality simbol, instead of we need to use The equals sign or equal sign formerly known as the equality sign

[tex]=[/tex]

for example

[tex]3x+19x=30x-8x[/tex]

the = symbold indicates that both sides have the same value ( rigth and left)

I hope this helps you

O GRAPHS AND FUNCTIONSFinding inputs and outputs of a two-step function that models a...

Answers

Given the function:

[tex]A(t)=256-16t[/tex]

Where A is the amount of money (in dollars) Diane has left in her account after t trips on the toll roads.

(a)

After 8 trips on the toll roads (t = 8):

[tex]\begin{gathered} A(8)=256-16(8)=256-128 \\ \\ \therefore A(8)=\$128 \end{gathered}[/tex]

(b)

If her account is empty:

[tex]\begin{gathered} A(t)=0 \\ \\ \Rightarrow256-16t=0 \end{gathered}[/tex]

Solving the equation for t:

[tex]\begin{gathered} 256=16t \\ \\ \therefore t=16\text{ trips} \end{gathered}[/tex]

Find the value of 4v-8 given that 11v-8 = 3.Simplify your answer as much as possible.

Answers

Given that 11v - 8 = 3

add 8 to both sides

11v = 3 + 8

11v = 11

Divide both sides by 11

v = 1

to simplify 4v - 8

= 4 (1) - 8

= 4 - 8

= -4

Answer:

-4

Explanation

Question 11 > Alvin can go upstream at a rate of 25 miles per hour and downstream at a rate of 35 miles per hour. One day while Alvin was on the river, he received a call telling him he needs to turn around and come home. So he turned around and went back to his starting point. If his entire trip took 12 hours, how far did he travel on the river? Alvin traveled miles. (Roundtrip) Question Help: Message instructor Submit Question

Answers

Given Data:

The upstream speed is, 25 miles/hr.

The downstream speed is, 35 miles/hr.

The total time is, 12 hr.

Let d be the distance traveled. He can travel 25 miles/ hr in upstream, so the time taken will be,

[tex]t=\frac{d}{25}[/tex]

He can travel 35 miles/ hr in upstream, so the time taken will be,

[tex]t^{\prime}=\frac{d}{35}[/tex]

Total time is, 12 hr. So we have,

[tex]\begin{gathered} 12=\frac{d}{25}+\frac{d}{35} \\ 12=\frac{d}{5\times5}+\frac{d}{7\times5} \\ 12=\frac{1}{5}(\frac{d}{7}+\frac{d}{5}) \\ 12\times5=\frac{d}{7}+\frac{d}{5} \\ 60\times35=5d+7d \\ 2100=12d \\ d=\frac{2100}{12}=175 \end{gathered}[/tex]

Therefore the total distance is, 350 mile

need help with math

Answers

[tex]\begin{gathered} 0.24\to0.2 \\ \end{gathered}[/tex][tex]0.158\to0.16[/tex][tex]0.2445\to0.245[/tex]

Pat bought a washer/dryer for $900 and made 24 payments of $46.23. Howmuch did she pay in interest?a. $1,109.52b. $900c. $92.40d. $209.52

Answers

Given that:

Cost of the washer/dryer = $900

Number of payments made = 24

Amount paid in each payment = $46.23

Total amount she paid

[tex]\begin{gathered} =\text{Amount paid in each payment}\cdot Number\text{ of payments} \\ =46.23\cdot24 \\ =1109.52 \end{gathered}[/tex]

Interest paid = Total amount paid - Cost of the washer/dryer

[tex]\begin{gathered} =1109.52-900 \\ =209.52 \end{gathered}[/tex]

Option d is correct.

Is x = -2 the linear equation that matches this table of ordered pairs?Explain why or why not.Xy-2 7-2 1-2 -5(x, y)(-2,7)(-2, 1)(-2,-5)

Answers

Answer:

All the points given (-2,7) (-2,1) (-2,-5) have the x-coordinate of -2, then those points lie in the x=-2, so it matches the table.

7. Flora has a square fountain. It is a square fountain and she wants to place a walkway around it. The square fountain measures 4 meters on each side. The walkway will be one meter wide around the fountain.. a. Find the area of the walkway. b. One bag of colored stones covers 1 square meter, how many bags of stones will be needed to cover the entire walkway around the fountain? C. A bag of colored stones cost $24.99. How much will it cost to fill in he walkway with colored stones?

Answers

Answer:

[tex]\begin{gathered} a)20m^2 \\ b)\text{ 20 bags of colored stones} \\ c)\text{ \$499.8} \end{gathered}[/tex]

Step-by-step explanation:

Since the square fountain measures 4 meters on each side and the walkway will be one meter wide, let's make a diagram to see the situation:

Then, to calculate the area of the walkway (green shaded region)

[tex]\begin{gathered} A_{total}=b\cdot h \\ A_{total}=6\cdot6=36m^2 \\ A_{founta\in}=4\cdot4=16m^2 \end{gathered}[/tex][tex]\begin{gathered} A_{walkway}=A_{total}-A_{fountain} \\ A_{walkway}=36-16=20m^2 \end{gathered}[/tex]

Now, how many colored stones will be needed if one bag covers 1 square meter:

There are 20 square meters on the walkway, then will be needed 20 bags of colored stones.

A bag of colored stones costs $24.99, then multiply 20 by $24.99:

[tex]20\cdot24.99=\text{ \$499.8}[/tex]

The population of a town is decreasing at a rate of 1% per year. In 2000there were 1300 people. Create a function to find the populationin 2008.

Answers

Given that;

The population of a town is decreasing at a rate of 1% per year.

[tex]\text{Rate r = 1\% = 0.01}[/tex]

In 2000 there were 1300 people.

[tex]P_o=1300[/tex]

To find the population in 2008;

[tex]P_8[/tex]

The time taken is;

[tex]\begin{gathered} t=2008-2000 \\ t=8\text{ years} \end{gathered}[/tex]

We can calculate the population of the town in 2008 by applying the formula;

[tex]P_8=P_o(1-r)^t[/tex]

Substituting, the given values;

[tex]\begin{gathered} P_t=1300(1-0.01)^t \\ P_t=1300(0.99)^t \end{gathered}[/tex]

Above is a functon for calculating the population of the town at time t years after 2000.

The population of the town in the year 2008 is;

[tex]\begin{gathered} P_8=1300(0.99)^8 \\ P_8=1,199.568 \\ P_8\approx1,200 \end{gathered}[/tex]

Therefore, the population of the town in 2008 is approximately 1,200 people.

We can also write the equation as;

[tex]y=1300(0.99)^8[/tex]

Where y is the population of the town in year 2008.

Tori is writing an essay for her English class. She already has 235 words, andon average writes 175 words every hour. The essay needs to be at least 1,600words. How many more hours should she plan to work on it? Write and solvean inequality for the situation.

Answers

Let be "h" the number of hours Tori should plan to work on it.

You know that she writes an average of 175 per hour. This can be represented with this expresion:

[tex]175h[/tex]

You also know that there must be at least 1,600 words in the essay for her English class. Since she has 235 words written, you can set up the following inequality:

[tex]235+175h\ge1,600[/tex]

The symbol used in the inequality means "Greater than or equal to".

In order to solve it, you can follow these steps:

1. Subtract 235 from both sides of the inequality:

[tex]\begin{gathered} 235+175h-(235)\ge1,600-(235) \\ 175h\ge1,365 \end{gathered}[/tex]

2. Divide both sides of the inequality by 175:

[tex]\begin{gathered} \frac{175h}{175}\ge\frac{1,365}{175} \\ \\ h\ge7.8 \end{gathered}[/tex]

The answer is:

[tex]7.8\text{ }hours[/tex]

Question 10 of 12, Step 1 of 29/14CorrectConsider the following quadratic equation:3.x2 - 13x + 2 = -2Step 1 of 2: Using the standard form ax2 + bx + c = 0 of the given quadratic equation, factor theleft hand side of the equation into two linear factors.AnswerKeypadKeyboard Shortcuts= 0

Answers

Solution

- The question would like us to solve the quadratic equation:

[tex]3x^2-13x+2=-2[/tex]

- The solution to this equation is given below:

[tex]\begin{gathered} 3x^2-13x+2=-2 \\ \text{Add 2 to both sides} \\ 3x^2-13x+4=0 \\ \\ \text{ We can rewrite the x-term as follows:} \\ -13x=-12x-x \\ \\ 3x^2-12x-x+4=0 \\ Let\text{ us factorize} \\ \\ 3x(x-4)-1(x-4)=0 \\ (x-4)\text{ is common } \\ \\ (x-4)(3x-1)=0 \end{gathered}[/tex]

- Thus, the linear factors are

[tex]undefined[/tex]

HeyI need help with this, having trouble solvingIt is from my ACT prep guide

Answers

We will determine the height of the building as follows:

First, we determine the height above her window, that is:

[tex]\tan (56)=\frac{h_u}{150ft}\Rightarrow h_u=(150ft)\tan (56)[/tex][tex]\Rightarrow h_u=222.3841453\ldots ft[/tex]

Now, we calculate the height below her window:

[tex]\tan (32)=\frac{h_l}{150ft}\Rightarrow h_l=(150ft)\tan (32)[/tex][tex]\Rightarrow h_l=93.73040279\ldots ft[/tex]

Then, we will have that:

[tex]h_T=h_l+h_l\Rightarrow h_T=150(\tan (56)+\tan (32))[/tex][tex]\Rightarrow h_T=316.1145581\ldots ft\Rightarrow h_T\approx316.1ft[/tex]

So, the height of the building is approximately 316.1 ft tall.

i invest $250 in a simple account that earns 10% annually. After 6 years, how much money have i earned? Hint round to the nearest cent.

Answers

We have to use the simple interest formula

[tex]A=P(1+rt)[/tex]

Where P = 250; r = 0.10 (10%); t = 6. Replacing these values, we have

[tex]A=250(1+0.10\cdot6)=250(1+0.6)=250(1.6)=400[/tex]

Hence, after 6 years, you have $400.

If we subtract this amount from the investment, we get the profits.

[tex]400-250=150[/tex]Hence, the earnings are $150.

I don't understand how to do this (this is a practice assessment)

Answers

Math | English | Art | Total

Boys 13 25 11 49

Girls 7 20 6 33

Total 20 45 17 82

1) Let's set a table, based on the given information:

• Since there are 20 students enrolled in Math let's place it into the Total, 20 -13 = 7

,

• 82 students altogether.

,

• 11 boys are in Art , 17 altogethe then 17 -11 = 6 girls

,

• 20+6+7 = 20+13 = 33 girls altogether.

,

• 82 -33 =49 13 +x +11 = 49 x = 49 -24=25

,

• And lastly English: 20 +25 = 45

2) That's our table:

Math | English | Art | Total

Boys 13 25 11 49

Girls 7 20 6 33

Total 20 45 17 82

is it a function? X (-2, -1, 0, 1, 2 ) Y (-7, -2, 1, -2, -7 )

Answers

To be a function, it is nesessary that the values of x correspond to a unique value of y (a value of x cannot correspond to 2 different values of y). The same value of y can correspond to two or more values of x

As in the given data each value of x has just one value of y. Then, it is a function.

Solve the problem.
3) During the last four months of a recent year, Annie's Natural Food Store reported the following sale: 3)
September
$3087
October
$2891
$2377
November
December
$4224
How much more were the sales in December than the sales in November?
A) $1847
B) $6501
C) $6601
D) $1747

What’s the answer?

Answers

Answer:

The answer will be A) 1847

On a recent survey, students were asked if they ice skate, snowboard, or ski. The Venn diagram below shows the results of the survey

Answers

The number of students who took the survey was 47 (option B).

How to identify the number of students who took the survey?

To identify the number of students who took the survey, we must look at the number of students in each of the Venn diagram spaces. In this case, the number of students who practice each sport are:

Ice Skate: 7 students.Snowboarding: 10 students.Ski: 13 students.Ice Skate and Snowboard: 4 students.Ski and Snowboard: 8 students.Ice Skate and Ski: 2 students.Ice Skate, Snowboard and Ski: 3 students.

To know the number of students who took the survey, we must add the number of students in each space as shown below:

7 + 10 + 13 + 4 + 8 + 2 + 3 = 47

According to the above, the correct answer is option B, since 47 students took the survey.

Note: This question is incomplete because there is some information missing. Here is the complete information:

Question:

How many students took the survey?

Options

A.32

b.47

c.53

D.56

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Suppose that the balance of a person’s bank account in US is normally distributed with mean $580 and standard deviation $125. Find the amount of money which would guarantee a person has more money in their account than 80% of US residents.I want an answer and explanation.

Answers

Answer:

[tex]\text{ \$685.25}[/tex]

Explanation:

Here, we want to get the amount of money that would guarantee that a person has more money than 80%

That means the probability is greater than 80% or 0.8

Thus, we need to get the z-score that corresponds to this probability

Using a z-score table, we can get this as follows:

[tex]P(x\text{ }>\text{z\rparen= 0.842}[/tex]

We will now get the value from the obtained z-score

Mathematically:

[tex]\begin{gathered} z\text{ = }\frac{x-\mu}{\sigma} \\ \\ \text{ x is the value we want to calculate} \\ \mu\text{ is the mean} \\ \sigma\text{ is the standard deviation} \end{gathered}[/tex]

Substituting the values, we have it that:

[tex]\begin{gathered} 0.842\text{ = }\frac{x-580}{125} \\ \\ \text{ x = 580 + 125\lparen0.842\rparen} \\ x\text{ = \$685.25} \end{gathered}[/tex]

Hello,May I please request for help on the word problem number 37, please?

Answers

As the last stand-up comic of the evening is granted. The combination of schedules is made with the other 5 performers.

To find how many ways you can order 5 performers you multiply 5x4x3x2x1 (or factorial 5: 5!)

[tex]5!=5\times4\times3\times2\times1=120[/tex]Then, there are 120 different ways to schedule the appearances

The country of Scotstats requires the people in their country to have license tags on their car such that the first 3 characters are English letters but no letter may repeat. The last 3 characters must each be a number 0-9 and again no numbers can be repeated. How many license tags are possible?

Answers

Answer

11,232,000 possible license tags.

Explanation

The licenses have space for 6 characters.

We need to note that there are 26 alphabets and 10 numbers to pick from.

So, for the first character, any of the 26 alphabets can take this spot.

For the second character, 25 alphabets are now available for that space. (Since repetition is not allowed)

For the third character, 24 alphabets are available for that.

For the fourth character, any of the 10 numbers can take up that spot.

For the fifth character, only 9 numbers can take this spot now. (No repetition rule too)

For the sixth character, 8 numbers can take that spot.

So, mathematically, the number of license tags possible will be

26 × 25 × 24 × 10 × 9 × 8 = 11,232,000 possible license tags

Hope this Helps!!!

in a class the ratio of the boy to the girls is 7:8 what part of the whole class are girls

Answers

[tex]\begin{gathered} P=\frac{8}{7+8} \\ P=\frac{8}{15} \\ \\ \frac{8}{15}\text{ of the whole class are girls} \end{gathered}[/tex]

Evaluating functions I don’t understand this one and I can’t find it no where else

Answers

The function given is

[tex]f(x)=4x[/tex]

We are to find the inverse of the function

let f(x) =y

[tex]y=4x[/tex]

Then, we make x the subject of the formula from here

[tex]\begin{gathered} y=4x \\ x=\frac{y}{4} \\ x=\frac{1}{4}y \end{gathered}[/tex]

Then The inverse of the function becomes

[tex]f(x)=\frac{1}{4}x[/tex]

Therefore the fourth option is correct

What is the slope of the line in the graph?A. 1 B. 2C. 0 D. -2

Answers

Always remember that the slope is the number of units on the Y-axis in relation to the X movement.

A horizontal line always has a slope of 0. (it is not increasing in the Y-axis)

Simplify -(x+ 5) + 3x completely.A. -4x+ 5OOB. 2x + 5C. 2x - 5D. -4x - 5

Answers

-(x+ 5) + 3x

Distributing the -1:

(-1)*x + (-1)*5 + 3x

-x - 5 + 3x

Combining similar terms:

(-x + 3x) - 5

2x - 5

Tyrone randomly interviewed 55 8th graders at the Westwood Mall Saturday afternoon to determine their reason for going to the mall. Based on the results of his survey, he made the following claim:Two out of four middle school students visit the mall to go shopping.Explain why this claim is misleading.a. Tyrone only interviewed students in the food court.b. Tyrone did not survey enough 8th graders to draw a valid conclusion.c. Tyrone did not use a random sample of 8th graders.d. Since Tyrone surveyed only 8th graders, his sample is not representative of all middle school students.

Answers

Tyrone randomly interviewed 55 8th graders at the Westwood Mall Saturday afternoon to determine their reason for going to the mall.

Based on the results he made the following claim.

"Two out of four middle school students visit the mall to go shopping".

Let us analyze each of the given options.

a. Tyrone only interviewed students in the food court.

There is no evidence that suggests the interview was conducted at the food court so this is not the correct answer.

b. Tyrone did not survey enough 8th graders to draw a valid conclusion

He interviewed 55 8th graders which are more than enough students so this is not misleading.

c. Tyrone did not use a random sample of 8th graders

It is given in the question that he used a random sample so this is not misleading.

d. Since Tyrone surveyed only 8th graders, his sample is not representative of all middle school students.

If you notice closely, Tyrone interviewed only 8th graders whereas the claim was about all middle school students.

So this is clearly misleading, 8th graders do not represent all middle school students.

Therefore, option d is correct.

simplify the following expression using the distributive property and combining like terms:3(y-4) -5(y+8)

Answers

3(y-4) - 5(y+8)

3y - 12 - 5y - 40

-2y - 52

The distance to your grandparent's house is 259 miles, and the distance to Atlanta is 555 miles. If it took 7 hours to drive to your grandparent's house, how long would you estimate the drive to Atlanta to take?​

Answers

Answer:

15 Hours

Step-by-step explanation:

259miles = 7 hours

555miles = x

Cross Multiply

259x = 555×7

259x = 3885

Divide Both sides by 259

x = 3885 ÷ 259

x = 15 hours

It would take the driver 15 hours to get to Atlanta

if(f) (x)= x/2 - 2 and (g) (x) = 2x^2 + x - 3 find (f+g) (x)|| how do i add functions when the number is a fraction? ||

Answers

Solution

Given

[tex]\begin{gathered} f(x)=\frac{x}{2}-2 \\ \\ g(x)=2x^2+x-3 \\ \\ (f+g)(x)=f(x)+g(x)=\frac{x}{2}-2+2x^2+x-3=2x^2+\frac{3x}{2}-5 \end{gathered}[/tex]

Solve the system of two linear inequalities graphically.Graph the solution set of the second linear inequality?

Answers

According to the second inequality, y is greater than or equal to -2, which means that the graph will have a solid line, the first step is to pick solid choice.

The boundary line is y=2, we know this by replacing the inequality sign by an equal sign. Two points one this line are (-1,2) and (2,2). We know it because it is an horizontal line that represents a constant function, it means that all the values of y will be 2 (boundary line).

As the equal sign is greater than or equal to, the region that must be shaded is the one above the boundary line.

Help I need a example for graphing two variable inequalities

Answers

Solution:

To graph, a linear inequality in two variables (say, x and y ), first get y alone on one side. Then consider the related equation obtained by changing the inequality sign to an equals sign. The graph of this equation is a line.

If the inequality is strict ( < or > ), graph a dashed line. If the inequality is not strict ( ≤ and ≥ ), graph a solid line.

For example,

Consider the linear inequality in two variables below

[tex]y\leq4x-8[/tex]

Step 1:

Put x=0 and find y

[tex]\begin{gathered} y=4x-8 \\ y=4(0)-8 \\ y=0-8 \\ y=-8 \\ (0,-8) \end{gathered}[/tex]

Step 2:

Put y=0 and find x

[tex]\begin{gathered} y=4x-8 \\ 0=4x-8 \\ 4x=8 \\ \frac{4x}{4}=\frac{8}{4} \\ x=2 \\ (2,0) \end{gathered}[/tex]

Hence,

We are going to use the coordinates below to graph the inequality using a solid line because

The inequality sign used is greater than or equal to

[tex](0,-8),(2,0)[/tex]

Hence,

The graph of the inequality will be

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simplify 20:15simplify 35:49simplify 81:36simplify 27:45simplify 21:36pls help me im crying rn bro researchers often want to isolate a certain type of rna. for some rna species, this can be accomplished via affinity chromatography, using beads coated with chains of poly-deoxythymidine (poly-dt). the desired rna will stick to the beads while unwanted rnas will flow through the column. the retained rna can then be eluted. what rna species can be purified using this method? researchers often want to isolate a certain type of rna. for some rna species, this can be accomplished via affinity chromatography, using beads coated with chains of poly-deoxythymidine (poly-dt). the desired rna will stick to the beads while unwanted rnas will flow through the column. the retained rna can then be eluted. what rna species can be purified using this method? eukaryotic mrna eukaryotic rrna bacterial mrna bacterial rrna Select the correct answer.In whatway does the following line from James Joyce's "Araby" contribute to the symbolism of the story?She was waiting for us, her figure defined by the light from the half-opened door. A.Mangan's sister's attractive figure symbolizes the better life the narrator expects when he is older and has escaped his darkneighborhood.O B. The light mentioned here works symbolically with the "half-opened door" motif to suggest the narrator's confusion about what pathto take in life. C.Mangan's sister is associated with light in the is story's imagery because she is part of the narrator's hopes for a greater life.O D.The partial light reflects the sense of balance that the narrator seeks but finds missing in his "blind" street and dark neighborhood.O E. Mangan's sister, who is half-cloaked in light, symbolizes the dark buildings in and bright lights of the enchanting East.ResetNext how the garcia girls lost their accent Write the quadratic equation that has roots -1-rt2/3 and -1+rt2/3 if its coefficient with x^2 is equal to 1[tex]\frac{-1-\sqrt{2}}{3}[/tex] [tex]\frac{-1+\sqrt{2} }{3}[/tex] To access need-based federal aid, including federal loans you will need to submit _____. an income statement for sam's bookstore for the first quarter of the year is presented below: sam's bookstore income statement for quarter ended march 31 sales $ 980,000 cost of goods sold 680,000 gross margin 300,000 selling and administrative expenses selling $ 110,000 administrative 124,000 234,000 net operating income $ 66,000 on average, a book sells for $70. variable selling expenses are $4 per book with the remaining selling expenses being fixed. the variable administrative expenses are 3% of sales with the remainder being fixed. the net operating income using the contribution approach for the first quarter is: The quantatum mechanical model of an atom uses atomic orbitals to describe what Which geologic feature occurs at a convergent boundary(a) an ocean ridge(b) an earthquake(c) an aperture(d) a rill how did railroads affect western settlement in the late 1800s? responses railroads provided construction jobs and then connected markets throughout the nation. railroads provided construction jobs and then connected markets throughout the nation. railroads transported most of the settlers to the west coast where they started farms. railroads transported most of the settlers to the west coast where they started farms. railroads had little effect on settlement because most work was done through unions. railroads had little effect on settlement because most work was done through unions. railroads contributed to the discovery of minerals that brought settlers west. Simplify (v2 + 10v + 11)(v2 + 3v 4) using the distributive property of multiplication ove addition(DPMA) which of the following is a benefit of buying direct from a distributor? c. invest more resources in supplier selection and management. b. access to a wider bundle of products and emerging technologies a. lower prices and better service e. none of the above d. all of the above Solve.Draw a rectangular fraction model to explain yourthinking.Then, write a number sentence.1/3of3/7= Find an equation for the line that passes through the points (2,2) and (-6,4) Marty invested $7000 in treasury notes and stocks. The stocks paid 7% in the notes paid 8%, giving an annual income of $535. How much is invested into the treasury notes? 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