Solve the system by Substitution.
x−y=7
−2x+7y=−19
A. No Solution
B. (6, -1)
C. (7, 6)
D. (6, 5)

Answers

Answer 1

Answer:

x=6 y=-1

Step-by-step explanation:

x=7+y

-2(7+y)+7y=-19

x=7+y

-14+5y=-19

x=7+y

5y=-5 ===> y=-1

x=7-1

y=-1

x=6

y=-1


Related Questions

How many apples can you fit in your mouth?

Answers

Step-by-step explanation:

i can fit 2 in my mouth 3 pushing

The amount of soda in a 16-ounce can is normally distributed with a mean of 16 ounces and a standard deviation of 0.20 ounce. What percentage of these cans will have less than 15.6 ounces

Answers

Answer: The percentage of these cans will have less than 15.6 ounces = 2.28%

Step-by-step explanation:

Let x = amount of soda in a 16-ounce can which  is normally distributed.

[tex]\mu=16\text{ ounces},\ \ \ \ \sigma=0.20\text{ ounces}[/tex]

The probability that cans will have less than 15.6 ounces:

[tex]P(X<15.6)=P(\dfrac{X-\mu}{\sigma}<\dfrac{15.6-16}{0.20})\\\\=P(z<-2)=1-P(Z<2)\\\\=1-0.9772\ \ \ [\text{By p-value table}]\\\\=0.0228=2.28\%[/tex]

Hence, the percentage of these cans will have less than 15.6 ounces = 2.28%

Hallar alfa con los datos dados en la foto

Answers

Answer:

English

Step-by-step explanation:

hola soy dora dododododo Dora dododododo dora

A line has a slope of -3 and a y-intercept of 3.


What is the x-intercept of the line?

Answers

Answer:

x=-1

Step-by-step explanation:

y=-3x+3 would be the equation of the line. set y to 0 to get x intercept. 0=3x+3 x=-1

Answer:

X=1

Step-by-step explanation:

Help asppp pleaseee!!!!!

Answers

9/10 u have to make them to the same denominator so 1/2 would be 5/10 and 2/5 would be 4/10 u add them and u get 9/10

A soft drink machine outputs a mean of 24 ounces per cup. The machine's output is normally distributed with a standard deviation of 3 ounces. What is the probability of filling a cup between 18 and 30 ounces

Answers

Answer:

The probability is 0.9545

Step-by-step explanation:

We start by using z-scores here

Mathematically;

z-score = (x-mean)/SD

mean = 24 ounces

SD = 3 ounces

For 18, we have

z-score = (18-24)/3 = -6/3 = -2

For 30, we have

z-score = (30-24)/3 = 6/3 = 2

So the probability we want to calculate is;

P( -2 < x < 2)

We can use the standard normal distribution table for this

From the standard normal distribution table;

P(-2 < x < 2) = 0.9545

This table shows the ratio of apples to oranges.

A 2-column table has 3 rows. Column 1 is labeled Apples with entries 6, 9, 12. Column 2 is labeled Oranges with entries 10, 15, question mark.

Find the missing value in the table of equivalent ratios.





I will mark Brainlyest

Answers

The answer is 20 hope this helps

Answer: 20

Step-by-step explanation:

-2(x + 3) = -2(x + 1) - 4
A 2
B3
C all real numbers
D no solution

Answers

Answer:

Answer is D (no solution)

Step-by-step explanation:

-2(x + 3) = -2(x + 1) - 4 --------multiply what's on the outside with everything on the inside

-2x - 6 = -2x - 2 - 4 -----collect like terms

-2x + 2x = 6 - 2 - 4 --------- add/subtract

0 = 4 - 4

0 = 0

Write 2^10 as a power with a base of 4

Answers

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[tex] {2}^{10} = {2}^{2 \times 5} = {2}^{ {2}^{5} } = {4}^{5} \\ [/tex]

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Which expression gives the best estimate of 30 percent of 61

Answers

30 x 61 divided by 100
= 18.3

Today only, a table is being sold at a 15% discount. The sale price is $629.What was the price yesterday?

Answers

The original price is $740.

[tex] \frac{(100 - 15)}{100} = \frac{629}{x} [/tex]

[tex]85x = 62900[/tex]

[tex]62900 \div 85 = x[/tex]

[tex]x = 740[/tex]

Let me know if you need more help understanding. :)

The original price would be 740
Because
629/.85=740
Just to double check it
740(.15)=111
740-111=629

Show your work 28÷776

Answers

Answer:

27.7142857143 this is the awnser

Need to find the value of x. PLEASE help!!
Can someone please help me figure these out please

Answers

Step-by-step explanation:

20x+6=22x-6

6+6=22x-20x

12=2x

x=12/2

x=6°

13x+8=112

13x=112-8

13x=104

x=104/13

x=8°

. The probability of drawing a blue cube from a hat is 80%. What is the probability of drawing 4 blue cubes in a row

Answers

Given:

The probability of drawing a blue cube from a hat is 80%.

To find:

The probability of drawing 4 blue cubes in a row.

Solution:

Let E be the event of drawing a blue cube from a hat.

[tex]P(E)=80\%[/tex]

[tex]P(E)=\dfrac{80}{100}[/tex]

[tex]P(E)=0.8[/tex]

We need to find the probability of drawing 4 blue cubes in a row.

Let as consider each cube is replaced after being drawn. So, that probability of drawing a blue cube from a hat remains same.

Probability of drawing 4 blue cubes in a row is

[tex]P(E)\times P(E)\times P(E)\times P(E)=(P(E))^4[/tex]

                                                          [tex]=(0.8)^4[/tex]

                                                          [tex]=0.4096[/tex]

Therefore, the required probability is 0.4096.

HELP WILL GIVE BRANLIEST! Please give an explanation

Answers

Answer:

b is correct

Step-by-step explanation:

Answer:

I'm pretty sure it's the 3rd option.

HELP WILL GIVE BRANLIEST! Please give an explanation

Answers

8.19 will be best explanation
8.19 is the approximate answer to the square root of 67.

what is 9/16 simplyfied

Answers

Answer: 9/16 is already in it's simplest form. You can't simplify it more.

Hope this Helps!

what is the mode of the data set

8,11,20,10,2,17,15,5,16,15,25,6

Answers

Answer:

Step-by-step explanation:

15

Answer:

15

Step-by-step explanation:

mode is the most occurring

first let's put our data in order

2, 5, 6, 8, 10, 11, 15, 15, 16, 17, 20, 25

each number occurs once except 15

15 occurs twice which means it's the most occurring or mode

Find constants A and B such that the function y = A sin(x) + B cos(x) satisfies the differential equation y'' + y' − 2y = sin(x).

Answers

Answer:

A = - 0.3 and B = - 0.1.

Step-by-step explanation:

y(x) = A sinx + B cosx

y'(x) = A cosx - B sinx

y"(x) = -A sinx - B cos x

So, substituting we have:

y" + y' - 2y = -A sinx - B cos x + A cosx - B sinx - 2(A  sinx + B cosx)

=    -3A sin x - B sinx + A cosx  - 3B cos x = sinx

sin x (-3A - B) + cos x(A - 3B) = sin x

Since this is an identity then we equate coefficients:

-3A - B =  1

A - 3B = 0

Solving these we get A = - 0.3 and B = - 0.1.

Medical records indicate that people with more education tend to live longer; the correlation is 0.48. The slope of the linear model that predicts lifespan from years of education suggests that on average people tend to live 0.8 extra years for each additional year of education they have. The slope of the line that would predict years of education from lifespan is

Answers

Answer:

0.288

Step-by-step explanation:

Given that :

Correlation (R) = 0.48

Slope of linear model which predicts Lifespan from years of education (m) = 0.8

To determine the value of slope of the model which predicts years of eductauoon from lifespan:

The square of the regression Coefficient is multiplied by the inverse of the slope of linear model which predicts Lifespan from years of education

Hence,

(R² * 1/m)

0.48² * 1/0.8

0.2304 * 1.25

= 0.288

How long will it take to fill the tank of 40 gallons of water

Answers

Answer:

10-15 mins

Step-by-step explanation:

Answer:

10-15 minutes

Step-by-step explanation:

im not sure though because you didn't give me enough information

Give the ordered pair coordinate of any point. in quadrant 2​

Answers

Answer:

(-3,5) (-1,6)

Step-by-step explanation:

In quadrant 2, the x-axis is negative while the y-axis is a positive

~~~Hope this helps~~~ :)

Philip is allowed to watch 2 hours of television each day Monday through Thursday and 4 hours of television each day Friday through Sunday. Which of the following equations can be used to calculate the number of hours of television Philip is allowed to watch in x weeks?

Answers

Answer:

s=x(20)

Step-by-step explanation:

s= solution

x= # of weeks

4x2=8

4x3=12

12+8=20

which pair of lines are perpendicular lines? A. y= 4x -6 y= 4x + 11 B. y= -4x -6 y= 4x + 11 C. y=1/4 x -6 y= 4x + 11 D. y= -1/4x - 6 y= 4x + 11

Answers

using the formula of a line y = mx + b, with m being the slope of a line, the slope of its perpendicular line would be the negative reciprocal of m, that is -1/m. therefore the answer is D, as the negative reciprocal of -1/4 is 4

1. The time between arrivals of taxis at a busy intersection is exponentially distributed with a mean of 10 minutes. a. What is the probability that you wait longer than one hour for a taxi

Answers

Answer:

The answer is below

Step-by-step explanation:

The time between arrivals of taxis at a busy intersection is exponentially distributed with a mean of 10 minutes. (a) What is the probability that you wait longer than one hour for a taxi? (b) Suppose that you have already been waiting for one hour for a taxi. What is the probability that one arrives within the next 10 minutes? (c) Determine x such that the probability that you wait more than x minutes is 0.10. (d) Determine x such that the probability that you wait less than x minutes is 0.90.

Answer:

A continuous variable is has a probability distribution function as:

[tex]f(x)=\lambda e^{-\lambda x}[/tex]

A continuous variable is has a cumulative distribution function as:

[tex]F(x)=1- e^{-\lambda x}[/tex]

Given mean  = 10 minutes

[tex]mean=\frac{1}{\lambda}\\ \\10=\frac{1}{\lambda}\\\\\lambda=\frac{1}{10}[/tex]

a) P(X > 1 hour) = P(X > 60 minutes) = 1 - F(60) = [tex]1-[1-e^{-60*0.1}]=0.0025[/tex]

b) P(X < 70 | x > 60) = P(X < 10) = [tex]1-e^{-10*0.1}=0.6321[/tex]

c) 0.1 = P(X > x)

0.1 = 1 - F(x)

[tex]0.1=1-[1-e^{-0.1*x}\\\\0.1=e^{-0.1x}\\\\ln(0.1)=-0.1x\\\\-2.3=-0.1x\\\\x=23\ minutes[/tex]

d) 0.9 = P(X < x)

0.9 = F(x)

[tex]0.9=1-e^{-0.1*x}\\\\e^{-0.1x}=1-0.9\\\\e^{-0.1x}=0.1\\\\ln(0.1)=-0.1x\\\\-2.3=-0.1x\\\\x=23\ minutes[/tex]

Answer 15 and I’ll give you a free cookie

Answers

Answer:

15

Thanks, lolllllllllll

Answer:

15

Step-by-step explanation:

An 8-ounce cup of gourmet coffee costs $4.50. What is the unit price (cost per ounce) of the coffee? (A) 0.37 (B) 1.57 (C) 0.97 (D) 0.57

Answers

Answer:b

Step-by-step explanation:the answer is b just think about it

B because b is correct

GUYSSS PLSSS I GIVE BRAINLIESSTTTT

Answers

Answer:

4. is x = 9

but I don't know about 5. sorry.

Step-by-step explanation:

5x + 3 = 48

-3. -3

5x = 45

5. 5

x = 9

5(9) + 3 = 48

48 = 48

The U.S. Bureau of Labor Statistics released hourly wage figures for various countries for workers in the manufacturing sector. The hourly wage was $30.67 for Switzerland, $20.20 for Japan, and $23.82 for the U.S. Assume that in all three countries, the standard deviation of hourly labor rates is $3.00. Appendix A Statistical Tables a. Suppose 36 manufacturing workers are selected randomly from across Switzerland and asked what their hourly wage is. What is the probability that the sample average will be between $30.00 and $31.00?

Answers

Answer:

The probability that the sample average will be between $30.00 and $31.00 is 0.6553.

Step-by-step explanation:

Let X represent the hourly wage for Switzerland.

It is provided that the mean hourly wage for Switzerland was $30.67 and the standard deviation of hourly labor rates is $3.00.

A random sample of 36 manufacturing workers are selected randomly from across Switzerland and asked what their hourly wage.

According to the Central Limit Theorem if an unknown population is selected with mean μ and standard deviation σ and appropriately huge random samples (n > 30) are selected from this population with replacement, then the distribution of the sample means will be approximately normally.  

As n = 36 > 30, Central limit theorem is applicable.

Then, the mean of the sample means is given by,

[tex]\mu_{\bar x}=\mu=30.67[/tex]

And the standard deviation of the sample means is given by,

[tex]\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}=\frac{3}{\sqrt{36}}=0.50[/tex]

Compute the probability that the sample average will be between $30.00 and $31.00 as follows:

[tex]P(30<\bar X<31)=P(\frac{30-30.67}{0.50}<\frac{\bar X-\mu_{\bar x}}{\sigma_{\bar x}}<\frac{31-30.67}{0.50})[/tex]

                         [tex]=P(-1.34<Z<0.66)\\\\=P(Z<0.66)-P(Z<-1.34)\\\\=0.74537-0.09012\\\\=0.65525\\\\\approx 0.6553[/tex]

Thus, the probability that the sample average will be between $30.00 and $31.00 is 0.6553.

plz answer this don't scroll past!!!!

Answers

Answer:

C

Step-by-step explanation:

3 * 6 = 18

30% of 60 = 18

Answer:

The answer is C

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