An equivalent equation has been written by multiplying the second equation by 2.
4x – 9y = 7 → 4x – 9y = 7
2(–2x + 3y = 4) → –4x + 6y = 8

What is the solution to the system?

a: (-19/2, -5)
b: (-5, -19/2)
c: (-15/2, -11/3)
d: -19/10, 1/15)

Answers

Answer 1

Answer:

(-19/2, -5)

Step-by-step explanation:

Given the two equivalent equations

4x – 9y = 7 .... 1

–4x + 6y = 8 ....2

Adding both equations

-9y + 6y = 7+8

-3y = 15

y = -15/3

y = -5

Substitute y = -5 into 1

From 1; 4x - 9y = 7

4x - 9(-5) = 7

4x + 45 = 7

4x = 7 - 45

4x = -38

x = -38/4

x = -19/2

Hence the solution is (-19/2, -5)


Related Questions

What fraction is less than 3/4?

Answers

Answer:1/2

Step-by-step explanation:3/4 equals 75% but 1/2 equals 50%

What are the x- and y-intercepts of the line with
equation 4x + 5y = 40 ?

Answers

Answer:

x - intercept - ( 10 , 0)

y - intercept - (0 , 8)

Step-by-step explanation:

X-intercept-(10,0)
Y-intercept-(0,8)

Trinh is catering a wedding that 112 people will attend. She is making two cakes, a chocolate cake and a carrot cake. 0.625 of the guests will be served chocolate cake and the rest will receive carrot cake. How many guests will get carrot cake?

Answers

O.625 * 112 = 70 people being served chocolate cake
112 - 70 = 42 guests that will get carrot cake

I hope this helps :)

Answer:

Step-by-step explanation:

70

St. Francis Bank pays 4% interest, compounded daily, from the date of deposit to the date of withdrawal. The daily interest rate (to the nearest milionths' place)
for October 14 (92 days in the quarter) on this account is:
0.000109.
0.000112
0.000098.

Answers

Answer:

The daily interest rate on this account = 0.000109

Step-by-step explanation:

Given that,

Interest rate = 4% compounded daily

i.e

Interest is 4% per annum and it is compounded daily.

Now,

We know , 1 year = 365 days

and 1 year interest rate = 4% = [tex]\frac{4}{100}[/tex] = 0.04

So,

The daily interest rate = [tex]\frac{0.04}{365}[/tex] = 0.000109

∴ we get

The daily interest rate on this account = 0.000109

Suppose you add two linear equations that form a system, and you get the result y = −2. How many solutions does the system have?

Answers

Answer:

This system will have 1 solution

Step-by-step explanation:

A linear system that has exactly one solution is called a consistent independent system. Consistent means that the lines intersect and independent means that the lines are distinct. Linear systems composed of lines that have the same slope and the y-intercept are said to be consistent dependent systems.

A picture of Margo's garden is shown below. It is made of 2 rectangular prisms. She wants to fill it with dirt. She needs to find the volume of the garden to know how much dirt to buy.



9 cubic feet


10 cubic feet


98 cubic feet


107 cubic feet

Answers

Answer:

9 cubic feet

Step-by-step explanation: You multiply them all then divide 9 by the greatest number that fits in 107

An agricultural researcher is interested in estimating the mean length of the growing season in a region. Treating the last 10 years as a simple random​ sample, he obtains the following​ data, which represent the number of days of the growing season. What is the point estimate of the population mean number of days of the growing​ season? 151 164 146 143 167 188 190 180 170 148 The point estimate is nothing.

Answers

Answer:

The point estimate of the population mean is 164.7

Step-by-step explanation:

Given

[tex]n =10[/tex]

[tex]Data: 151\ 164\ 146\ 143\ 167\ 188\ 190\ 180\ 170\ 148[/tex]

Required

The point estimate of the mean

To do this, we simply calculate the sample mean using;

[tex]\bar x =\frac{\sum x}{n}[/tex]

[tex]\bar x =\frac{151 +164 +146 +143 +167 +188 +190 +180+170 +148}{10}[/tex]

[tex]\bar x =\frac{1647}{10}[/tex]

[tex]\bar x =164.7[/tex]

Assume a normal distribution. From the Baltimore facility, 145 samples were obtained and compared with a sample of 128 from the Burlington facility. The mean hours per week and standard deviations for middle management who had been with the organizations for approximately the same length of time were:

Answers

Answer:

Hello your question has some missing part below is the missing part

The mean hours per week and standard deviations for middle management who had been with the organizations for approximately the same length of time were: Baltimore facility, Burlington facility Mean 52.5 Mean 39.7

Standard deviation 19.7 Standard Deviation 8.9Using this data, complete the following:

State your hypothesis and conduct a hypothesis testing using a significance of 0.10.

answer :  We will reject the Null hypothesis

Step-by-step explanation:

μ1 = mean working hours for Baltimore facility  

μ2 = mean working hours  for Burlington facility  

Hence the Hypothesis are :

H0 : μ1 = μ2

Ha : μ1  > μ2

Next:  Conduct a hypothesis testing

we will apply Z - testing attached below is the hypothesis testing

n1 = 145 , X1 = 52.5 , δ1 = 19.7  ( Baltimore )

n2 = 128, X2 = 39.7 , δ2 = 8.9 ( Burlington )

In a poll conducted of 10000 people before an election, 5050 people preferred candidate D. What is the probability of seeing such a poll, given that candidate D wins the election with 51% of the vote. Make some reasonable assumptions and use the continuity correction to compute your answer.

Answers

Answer:

P ( x < 5050.5 ) ≈ 0.16104

Step-by-step explanation:

Total number of voters ( n ) = 10000

Before election : 5050 people preferred Candidate D ( k ) ≈ 50.1 %

Candidate D eventually wins with 51% of the votes

winning ( p ) = 0.51

Applying continuity correction formula

P ( x < 5050.5 ) ≈ 0.16104

attached below is the remaining part of the solution

y = 2x - 4
y = - 2x + 8
Math

Answers

Answer:

(3,2)

Step-by-step explanation:

Since both equations are equal to each others.

2x-4=-2x+8

2x+2x=8+4

4x=12

x=3

Substitute x = 3 in any given equations but I will substitute in the first equation.

y = 2(3)-4

y = 6-4

y = 2

PLEASE HELP! IM LIKE STUCK AND I NEED HELP! YOU'LL GET 50 POINTS !!!!

Answers

I got it hold up I will use my app

Answer:

5m + 9n + 46

Step-by-step explanation:

5m +10 +9n +36

(i did that by distributing from parenthesis)

5m + 9n + 46

(i just simplified by adding 10 and 36)

What is the domain of the function shown in the graph below?

Answers

The domain of the function graphed in this problem is given as follows:

(-∞, -1) U (-1, ∞).

How to obtain the domain and range of a function?

The domain of a function is defined as the set containing all the values assumed by the independent variable x of the function, which are also all the input values assumed by the function.The range of a function is defined as the set containing all the values assumed by the dependent variable y of the function, which are also all the output values assumed by the function.

The vertical asymptote of the rational function graphed in this problem is given as follows:

x = -1.

Hence the function is defined for all real values except x = -1, meaning that the domain is given as follows:

(-∞, -1) U (-1, ∞).

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The art students are using clay. Each student needs 9/10 of a package of clay, there are 32 students in the class. How many packages of clay does the class need?

Answers

Answer:

29

Step-by-step explanation:

[tex]\frac{9}{10} * \frac{32}{1} = \frac{288}{10} = 28.8[/tex]

PLS HELP ME OUT GUYS PLS PLS PLS PLS

Answers

the 1st, 2nd, and 3rd are correct

(x +y )(x -y), if x = -3, y=-5
PLS NO FILES OR I AM REPORTING YOU

Answers

Answer:

-16

Step-by-step explanation:

(X + Y)

= (-3 + -5)

= -8

(X - Y)

= (-3 - -5)

= 2

Because  they're still in brackets in this form:

(-8) (2)

You multiply them both and you'll get the answer:

-16

hope this helped!

500 people were surveyed about their favorite type of pet. 55% of the people said
"dog", 1/10 said "cat", 0.3 said "bird", and the rest said "other". How many people
responded "other"?

Answers

Answer:

25/500 or 5% said 'other'

Step-by-step explanation:

55% = 275 (dog)

1/10 = 50 (cat)

0.3 = 150 (bird)

Total = 475

475 out of 500 (95%) gave an answer other than 'other'

Dizzy and bruised, covered in soot, he got gingerly to his feet, holding his broken glasses up to his eyes. He was quite alone, but where he was, he had no idea." - Harry Potter and The Chamber of Secrets *

1st person
2nd person
3rd person objective
3rd person limited
3rd person omniscient

Answers

Answer:

2nd person

Step-by-step explanation:

The term second person is used to describe a clause or piece of text in which the author is not referring to himself or herself but is referring to the second person that is you. When people being addressed are referred to in a sentence, the nature of the sentence is second person.

What expression is equivalent to
16+2*36

Answers

Answer: It looks like this expression is 16+2 times 36, so the answer is 18 times 36 also 88, they are both equivalent

Can someone please help me out pleaseeeee !!!!!

Answers

Answer:

Step-by-step explanation:

0: -2

1: -4

2: -6

whoever answers it correct first gets brainlest

Answers

Answer:

f(x)=x+1 ok

please mark me as brainlest

i need help with these 2 questions.

Answers

Answer:

Step-by-step explanation:

6). Surface area of a triangular prism = Area of the triangular bases + (Perimeter of the triangular base)×height

Area of one triangular base = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]

                                              = [tex]\frac{1}{2}\times 4\times 3[/tex]

                                              = 6 km²

Perimeter of the triangular base = (4 + 3 + 5)

                                                      = 12 km

Height of the triangular prism = 7 km

Surface area of the given triangular prism = 2(6) + (12)(7)

                                                                      = 12 + 84

                                                                      = 96 km²

7). Surface area of a rectangular prism = 2(lb + bh + hl)

Here, l = Length, b = Width and h = Height

By substituting the values from the given question,

l = 9 in, b = 9 in, h = 4 in

Surface area of the rectangular prism = 2(9×9 + 9×4 + 4×9)

                                                               = 2(81 + 36 + 36)

                                                               = 2(153)

                                                               = 306 in²                              

In the figure, two poles are 25 m and 35 m high. A cable 23 m long Joins the tops of the poles. Find the distance between the poles.​

Answers

Answer: 20.71 m

Step-by-step explanation:

Given

the length of the poles are 25m and 35 m

The length of the cable is 23 m

Suppose the distance between them is x

From the figure, apply Pythagoras theorem

[tex]\Rightarrow 23^=x^2+10^2\\\Rightarrow 529-100=x^2\\\Rightarrow x^2=429\\\\\Rightarrow x=\sqrt{429}=20.71\ m[/tex]

Distance between Poles is 20.71 m

Yesterday I went to buy some ice cream because it was on sale for $0.73. While I was there I also wanted to buy some sprinkles to put on top and they were only $0.15! What a bargain!!!! Since everything was so cheap, I also thought that I might want to buy a water bottle that was $2. When I went up to the cashier, they told me that I owed $9. EXCUSE ME?!? I said to them “I thought you all had a sale today, why am I paying $9?.”
how much you should’ve been charged

Answers

Given statement Sale Pricing Confusion solution is :- You should have been charged $2.88, not $9.

Let's break down the costs:

Ice Cream: $0.73

Sprinkles: $0.15

Water bottle: $2.00

The total cost of these three items would be:

$0.73 + $0.15 + $2.00 = $2.88

According to the prices you mentioned, you should have been charged $2.88, not $9. If the cashier told you that you owed $9, it's possible that there was an error in their calculations or that they included other items in your bill. It's best to clarify the discrepancy with the cashier and ask for an explanation or correction.

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BRAINLIEST FOR CORRECT ANSWER, IM FAILING SCHOOL AND NEED HELP ASAP. EVEN OFFICIAL HELP COUNTS

Answers

Answer:

x=76

Step-by-step explanation:

The two marked angles are alternate angles, which means they're equal.

Answer

76%

Step-by-step explanation:

I think its defiantly not 104 because its smaller than 90% and not 41% because that's to small same with 67% so it is 76%

1/2 of a number y is more than 22

Answers

Answer:

1/2y > 22

Step-by-step explanation:

I think that's what you were asking, but I'm not sure

So the is more than tells you that you're going to use the greater than sign. and 1/2 of y is 1/2y because of means mulitiplication

hope this helps:)

Answer:

1/2y > 22  

Step-by-step explanation:

Write an equation for the number y:

1/2 of y is more than 22

1/2 * y is more than 22 ('of' equals multiply)

1/2y = more than 22 ('is' equals a equal sign)

1/2y > 22 ('more' is greater than and not greater than and equal since it doesn't state anything that it could acctually be equal to)  

1/2y > 22  

(You can solve for y if you need to find the value of the number)                      

Dilations-He Said, She Said (12/10)

Answers

Answer:

um.....

Step-by-step explanation:

We run a terminating simulation 20 replications to estimate the average throughput of a manufacturing system. Suppose that the observed throughputs from these 20 replications are 4, 5, 7, 5, 8, 7, 5, 9, 10, 5, 6, 7, 2, 11, 6, 3, 2, 11, 10, 7. a. (0.1 point) What is the 99% t-confidence interval for the mean throughput

Answers

Answer:

[tex]CI =6.5 \± 1.09[/tex]

Step-by-step explanation:

Given

[tex]Data: 4, 5, 7, 5, 8, 7, 5, 9, 10, 5, 6, 7, 2, 11, 6, 3, 2, 11, 10, 7[/tex]

Required

Determine the 99% t-confidence interval

First, calculate the mean

[tex]\bar x =\frac{\sum x}{n}[/tex]

[tex]\bar x =\frac{4+ 5+ 7+ 5+ 8+ 7+ 5+ 9+10+ 5+ 6+ 7+ 2+ 11+ 6+ 3+ 2+ 11+ 10+ 7}{20}[/tex]

[tex]\bar x =\frac{130}{20}[/tex]

[tex]\bar x =6.5[/tex]

Calculate the standard deviation

[tex]\sigma = \sqrt{\frac{\sum(x - \bar x)}{n}[/tex]

[tex]\sigma =\sqrt{\frac{(4-6.5)^2+ (5-6.5)^2+ ........+ (2-6.5)^2+ (11-6.5)^2+ (10-6.5)^2+ (7-6.5)^2}{20}}[/tex]

[tex]\sigma =\sqrt{\frac{143}{20}}[/tex]

[tex]\sigma =\sqrt{7.15}[/tex]

[tex]\sigma =2.67[/tex]

The z score for 99% confidence interval is:  2.576

The confidence interval  is calculated as:

[tex]CI =\bar x \± z * \frac{\sigma}{\sqrt n}[/tex]

[tex]CI =6.5 \± 2.576 * \frac{2.67}{\sqrt {40}}[/tex]

[tex]CI =6.5 \± 2.576 * \frac{2.67}{6.32}}[/tex]

[tex]CI =6.5 \± 1.09[/tex]

The scatter plot below shows the change in the demand for a pair of jeans at a store as the price changes. The sales manager uses y= -1.75x+92.13 as a line of best fit.

What is the residual value when the price of jeans is $28.00?
A)−9.37
B)−1.13
C)1.13
D)9.37

Answers

Answer:

1.13

Step-by-step explanation:

The residual value when the price of jeans is $28.00 is -15.13

How to determine the residual?

The equation of the line of best fit is:

y= -1.75x+92.13

When the price of jeans is $28.00, we have:

y= -1.75*28+92.13

Evaluate

y= 43.13

The residual value is then calculated as:

Residual = Actual - Observed

This gives

Residual = 28.00 - 43.13

Evaluate the difference

Residual = -15.13

Hence, the residual value when the price of jeans is $28.00 is -15.13

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What is the volume please help me please

Answers

It may be 1296ft cubed

Answer:

1296

(Length x Width x Height)

6x18x12=

1296

I hope this helped! ♡+*

c. Suppose the firm with the 20 percent market share announces a plan
to buy one of the firms with a 5 percent market share. Is the U.S.
Department of Justice likely to challenge the merger? Why or why
not?

Answers

The likelihood of a U.S. Department of Justice challenge to the merger would depend on various factors, including market concentration, potential anticompetitive effects, and impact on consumer welfare. Without further information, it is difficult to determine definitively.

Determining whether the U.S. Department of Justice (DOJ) is likely to challenge a merger involves several factors, including market concentration and potential antitrust concerns. In this case, the firm with a 20 percent market share plans to acquire a firm with a 5 percent market share.

The DOJ is more likely to challenge a merger when it raises concerns about potential anticompetitive effects, such as creating or enhancing market power. Market concentration is a key factor in assessing antitrust issues. While a 25 percent combined market share may not necessarily trigger an automatic challenge, the DOJ will consider other factors as well.

To evaluate the likelihood of a challenge, the DOJ will assess the overall market structure, including the level of competition and the presence of other significant competitors. If the merger significantly increases concentration levels and reduces competition in the market, it may raise concerns for the DOJ.

Additionally, the DOJ will examine the potential impact on consumer welfare, pricing, and innovation. If the merger is likely to result in higher prices, reduced choices for consumers, or hinder innovation, it may trigger antitrust scrutiny.

Considering the limited information provided, it is challenging to definitively determine whether the DOJ would challenge the merger. However, a 25 percent combined market share might not necessarily be considered highly concentrated, especially if there are other significant competitors in the market. The DOJ's decision would depend on a comprehensive analysis of the specific market dynamics and the potential effects of the merger on competition and consumer welfare.

Ultimately, the likelihood of a DOJ challenge would require a more detailed examination of the specific market conditions, the potential impacts of the merger, and compliance with antitrust laws and regulations.

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