solve the system of linear equations by substitution:
x+y=27, y=x+9

Answers

Answer 1

Answer:

you answer will be x=9 , y=18


Related Questions

total of 342 tickets were sold for school play. They were either adults tickets or student tickets. The number of student tickets sold was two times the number of adult tickets sold. How many adult tickets were sold?

Answers

Answer:

684 I think ?!

Step-by-step explanation:

Answer: 114 adult tickets were sold.

Step-by-step explanation:

Let student tickets be represented as 2t (since twice the amount of student tickets were sold)

and let t represent the amount of adult tickets.

Solve for t (number of tickets)

342= 2t + t. Combine like terms.

342= 3t. Divide both sides by 3.

114=t

114 adult tickets were sold.

Substitute 114 for t to find student tickets.

2(114)= 228 student tickets were sold.

Two rectangles are shown below. Rectangle P has a perimeter of 20 inches.
Rectangle Q has a perimeter of 30 inches.

Answers

Answer:

c) j=2 and h=4

Step-by-step explanation:

h+h+j+4+j+4=20

3h+3h+j+1+j+1=30

2h+2j+8=20

6h+2j+2=30

multiply the first equation by -3

-6h-6j-24=-60  

this equals

-6h-6j=-36

6h+2j=28

-4j=-8

j=2

Since j=2

2h+2(2)+8=20

2h+12=20

2h=8

h=4

the average of 3, 5, 15 and my number is 40. what is my number.

Answers

Answer:

137

Step-by-step explanation:

(3 + 5 + 15 + x)/4 = 40

23 + x = 160

x = 137

someone help me is urgent ​

Answers

I think it the square root of 69 which could also be 420 i just need the points

Select the correct answer. Simplify the following expression. 3x(4x − 3) please help meh

Answers

Answer:

12x² - 9x

Step-by-step explanation:

Simplify the expression. Distribute 3x to all terms within the parenthesis. Multiply:

3x * 4x = 12x²

3x * -3 = -9x

12x² - 9x is your answer.

~

How are .4 and .04 different

Answers

Answer: .4 is in the tenths column and .04 is in the hundredths column and

.4 is 40% and .04 is 4% and .4 is 2/5 and .04 is 1/25 so .4 is larger then .04 and .4 is 2:5 and .04 is 1:25

Step-by-step explanation: plz mark me brainliest.

How to mark brainliest

___________________

Click on the crown on the bottom right of an answer if there is no crown reload the page

Answer:

Well .4 is bigger then .04. 0.4 is equal to 2/5 and 0.04 is equal to 1/25

Step-by-step explanation:

(b)
Part B
What is the exact amount of fruit salad in cups?
cups
Enter your answer as a fraction or a mixed number.

Answers

8/9 is the answer i believe

How much of the circle is shaded? Write your answer as a fraction in simplest form.

Answers

Answer:

2/7

Step-by-step explanation:

Yesterday, Anna drank 2/6 of a gallon of milk. Then her sister drank some milk and now there is only 3/12 of the gallon left. How much of the gallon did Anna's sister drink?

Answers

Answer:

5/12

Step-by-step explanation:

Change the denominator of 6 to 12.

2 x 2 = 4

6 x 2 = 12

Find out how much gallon of milk was drank.

12/12 - 3/12 = 9/12

Find out how much the milk was drank after deducting how much Anna drank.

9/12 - 4/12 = 5/12

Question Help Estimation Acar takes 70.3 seconds to travel 1 mile. How long does it take the car to travel 6.6 miles? First round to the nearest whole number to find the estimated answer. Then find the exact answer. Estimate the answer. It takes the car about seconds to travel 6.6 miles.​

Answers

Answer:

Estimated time = 490 seconds

Exact time = 463.98 seconds

Step-by-step explanation:

The car traveled 1 mile in 70.3 seconds.

We want to find how long it took to travel 6.6 miles.

We are told to estimate the given values to the nearest whole numbers before solving.

Thus;

1 mile was travelled in 70 seconds

Then; 6.6 miles ≈ 7 miles

Thus, 7 miles is travelled in; 70 × 7/1 = 490 seconds

Estimated time = 490 seconds

Now, exact time will be;

Exact time = 70.3 × 6.6/1

Exact time = 463.98 seconds

HELP
Translate each problem into an equation, then solve.
A number plus -3 is 8

Answers

Answer:

a number (x) plus (+) -3 (-3) is (=) 8 (8).

Step-by-step explanation:

x+(-3)=8

x=11

Answer:

A number: since we don't know what the exact number is we can represent that number with a variable. Let's use x...

x + (-3) = 8

You can also write this as...

x - 3 = 8

They both mean the same thing :)

When you solve...

x - 3 = 8

add 3 on both sides...

x = 11

Your answers are...

x + (-3) = 8

x = 11

Hope this helps :)

You know that in a specific population of rainbow trout 15% of the individuals carry intestinal parasites. Assume you obtain a random sample of 9 individuals from this population:a. Calculate the probability that __ (last digit of your ID number) carry intestinal parasites.b. Calculate the probability that at least two individuals carry intestinal parasites.

Answers

Answer:

a) 0.2316 = 23.16% probability that 0 carry intestinal parasites.

b) 0.4005 = 40.05% probability that at least two individuals carry intestinal parasites.

Step-by-step explanation:

For each trout, there are only two possible outcomes. Either they carry intestinal parasites, or they do not. Trouts are independent. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

You know that in a specific population of rainbow trout 15% of the individuals carry intestinal parasites.

This means that [tex]p = 0.15[/tex]

Assume you obtain a random sample of 9 individuals from this population:

This means that [tex]n = 9[/tex]

a. Calculate the probability that __ (last digit of your ID number) carry intestinal parasites.

Last digit is 0, so:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{9,0}.(0.15)^{0}.(0.85)^{9} = 0.2316[/tex]

0.2316 = 23.16% probability that 0 carry intestinal parasites.

b. Calculate the probability that at least two individuals carry intestinal parasites.

This is

[tex]P(X \geq 2) = 1 - P(X < 2)[/tex]

In which

[tex]P(X < 2) = P(X = 0) + P(X = 1)[/tex]

So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{9,0}.(0.15)^{0}.(0.85)^{9} = 0.2316[/tex]

[tex]P(X = 1) = C_{9,1}.(0.15)^{1}.(0.85)^{8} = 0.3679[/tex]

[tex]P(X < 2) = P(X = 0) + P(X = 1) = 0.2316 + 0.3679 = 0.5995[/tex]

[tex]P(X \geq 2) = 1 - P(X < 2) = 1 - 0.5995 = 0.4005[/tex]

0.4005 = 40.05% probability that at least two individuals carry intestinal parasites.

We will see that the probabilities are:

a) 3.8*10^-8b) 0.26

How to find the probability.

We know that 15% of the population have the parasites, then if we take a trout at random we have:

a probability of 0.15 that it has parasites.a probability of 0.85 that it does not have parasites.

a) The probability that 9 of them carry intestinal parasites (so all of them have).

This is just the product of the individual probabilities, so we have 9 times a probability of 0.15, this gives:

P(9) = (0.15)^9 = 3.8*10^-8

b) Probability that 2 out of 9 have parasites.

Then we have 0.15 two times, and 0.85 seven times.

But we also need to take in account the permutations, the different groups of 2 trouts that we can make out of 9 trouts is given by:

[tex]C(9, 2) = \frac{9!}{(9-2)!*2!} = \frac{9*8}{2} = 36[/tex]

This means that there are 36 different pairs of 2 trouts that can be the ones with parasites.

Then the probability that 2 trouts have parasites is:

P(2) = 36*(0.15)^2*(0.85)^7 = 0.26

And just to be complete, the probabilty that x trouts have parasites is:

P(x) = C(9, x)*(0.15)^x*(0.85)^(9 - x)

If you want to learn more about probability, you can read:

https://brainly.com/question/251701

HALLLLPPP!!!! DUE TOMORROW I RLLY NEED HELPPPP!!! PLS HURRY!!!

There are 231 cubic inches in a gallon. A rectangular pitcher has a 4-inch by 5-inch base and a height of 10 inches. How many gallons of juice could the pitcher hold? Round your answer to the nearest tenth.

Answers

Answer:

0.86

Step-by-step explanation:

4x5 = 20 (the base of the pitcher)

20 x 10(the height) = 200 square inches

231 (The number of cubic inches in a gallon) / 200 (the size of the pitcher) = 0.82 gallons

Please help quick explain

Answers

Answer:

Step-by-step explanation:

3/5, 12/20

-3x + 7 = -x - 1
What is the variable

Answers

Answer:

x = 4

Step-by-step explanation:

also nice pfp d====( ̄▽ ̄*)b

how much is 1 hundred of R800​

Answers

Of 800? Or is the R included

Plot the points where the x coordinate is twice the value of the y coordinate.

GIVING BRAINLIEST

Answers

Answer:

Heres brainliest for who answered first

Step-by-step explanation:

HELPP!!!! YOU'LL GET 80 POINTS AND BE BRAINLIEST
The city of El Paso is three hundred and twenty miles from the city of Tucson, Arizona, and seven hundred and twenty miles from San Diego, California. Tomorrow I'm going to travel from Tucson to San Diego. I plan to leave Tucson at six in the morning. If I drive 75 miles per hour the first four hours and 50 miles per hour the rest of the way, what time (Tucson time) will I get to San Diego?

Answers

We have that El Paso is 320 miles from Tucson and 720 miles from San Diego.

You're travelling from Tucson to San Diego.

First we have to find the distance from Tucson to San Diego. We can do this by finding the difference between the distance of Tucson from San Diego and El Paso from San Diego.

That is:

720−320

400 miles

You leave by 6:00 am.

You drive for 75 miles per hour in 4 hours for the first part of the journey.

You then drive for 50 miles per hour for the rest of the journey.

The first step is to find the distance that the rest of the journey took. We can do that by first finding the distance covered in the first part of the journey and subtracting that from the total distance (400 miles).

To find the distance for the first part of the journey, we apply the formula for speed (rate of change of distance with time):

s = d/t

⇒d = s⋅t

where d= distance; t = time

Therefore:

d=75⋅4

d=300 miles

The first part of the journey covered 300 miles. This means that the rest of the journey covered:

400 - 300 = 100 miles

Now, to find the time the rest of the journey took, we have to apply the same formula for speed:

s=d/t

t=d/s

Therefore:

t=100/50

t=2 hrs

To find the total time it took to complete the journey, we have to add the times for the first part and the rest of the journey.

That is:

T=4+2

T=6 hours

Since you left home by 6:00 am, the time you will get to San Diego is 6 hours after that, i.e. 12 noon (Tucson time)

That is the answer.

How do you define your role regarding climate change? What do you feel your responsibilities are?

Answers

Answer/Step-by-step explanation:

1. Humans are the cause of climate change so us humans would be the major factor of it causing us to be the ones to stop it or slow it down.

2. To stop polluting, recycle, take care of our environment, etc.

Hope this helps :)

What is the perimeter of this triangle?

Answers

Answer:

41.8

Step-by-step explanation:

Suppose that the mean of your 50 rolls is x = 3.25. Are you suspicious about the fairness of the die? Justify your answer.

Answers

Answer:

3.25x50=21

Step-by-step explanation:

Sample size falls within the range from the mean Standard deviation (3.5±1.75).

What is Mean?

The sum of all values divided by the total number of values determines the mean (also known as the arithmetic mean, which differs from the geometric mean) of a dataset. The term "average" is frequently used to describe this measure of central tendency.

Given, Suppose that the mean of your 50 rolls is x = 3.25.

Uniform distribution. linear Shape according to the Central lamed Theorem the distribution will be q Normal distribution of of xi; with Mean Rx = 3.5 if the sample Size is large enough and a variance of (1.71)²/N. Where N is the sample size 3.25 falls within the interval of the 95% confidence Sample means and it also falls within the range from the mean Standard deviation (3.5±1.75). This result is nothing suspicious of out of the ordinary

Therefore,  Sample size falls within the range from the mean Standard deviation (3.5±1.75).

Learn more about Mean here:

https://brainly.com/question/521501

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Complete question:

[tex]15\ \textless \ -5x[/tex]

Answers

Answer:

x < -3

Step-by-step explanation:

Switch sides

-5x > 15

Multiply both sides by: -1 (reverse the inequality)

(-5x)(-1) < 15 (-1)

Simplify

5x < -15

Divide both sides by 5

5x/5 < -15/5

Simplify: 5x/5

Divide the numbers: 5/5 = 1

= x

Simplify: -15/5

Apply the fraction rule: -a/b = a/b

= -15/5

Divide the numbers: 15/5 = 3

= -3

x < -3

Hope This Helps!

A prism has a length of 11 centimeters, height of 2 centimeters, and width of 3 centimeters. What is the volume of the prism?

Answers

Answer:

66 cubic centimeters

Step-by-step explanation:

volume is L x W x H

so 11 x 2 x 3

which equals 66

Answer:

66

Step-by-step explanation:

Need help with this please. Let f(x)= Sin x

Answers

Answer:

π/6 and 5π/6

Step-by-step explanation:

Graphing the equation or using a unit circle, we can find these values out pretty easily

Is it 2 or 3?
Thank you!

Answers

Answer:

3

Step-by-step explanation:

The scale factor of the scale drawing of a mirror to the actual mirror is represented by the ratio 1:8. If the dimensions of the scale drawing are 3 inches wide by 8.5 inches long, what is the actual area of the mirror?

Answers

Answer:

the answer is b

Step-by-step explanation:

Answer:

B 554

Step-by-step explanation:

Find the value of x in (5,x),(x,14) so that the line line containing them is 7/2.

Answers

Answer:

7

Step-by-step explanation:

If what you meant by 7/2 was the slope of the line then we can plug in the two points into the slope formula to get our line:

14-x/x-5 = 7/2

This means that 14 - x = 7 and x - 5 = 2. We can see that 14 -7 = 7 and 7 - 5 = 2,

meaning that the value of x should be 7.

Solve the given equation for x. 2-3x -x = 2^2 (Use (Use a comma to separate answers.)​

Answers

Answer:

x+2_3x_x=2^2

2_3x=4

3x=4+2

x=6÷3

×=2 is ans

Please...I really need help

Answers

Answer: it’s the first one

Step-by-step explanation:

9514 1404 393

Answer:

  (d)  g(x) = -f(x -3)

Step-by-step explanation:

Reflection over the x-axis multiplies function values by -1. Translation to the right 3 units replaces x with x-3. The transformed function is ...

  g(x) = -f(x -3)

Which triangles are congruent according to the SAS criterion?
M
A
E
B
R
N
OA.
A ABC and ALMN
OB.
ALMN and AFGE
O C.
ALMN, AFGE, and A POR
OD
AFGE and A POR
O E.
ABC AFGE, and A POR

Answers

Answer:

What u have done is correct its E. ABC, FFE and PQR.

Hope this helps

Hope this helps ALL THE BEST!!

The ΔABC, ΔFGE, and ΔPQR are congruent by SAS criterion.

Option D is the correct answer.

What is triangle congruency?

There are ways to prove that two triangles are congruent.

- Side-Side-Side (SSS) Congruence.

The three sides of one triangle are equal to the corresponding three sides of another triangle.

- Side-Angle-Side (SAS) Congruence.

The two sides and the included angle of one triangle are equal to the corresponding two sides and included angle of another triangle.

- Angle-Side-Angle (ASA) Congruence.

The two angles and the included side of one triangle are equal to the corresponding two angles and included side of another triangle.

- Angle-Angle-Side (AAS) Congruence.

We have,

Side-Angle-Side (SAS) Congruence.

The two sides and the included angle of one triangle are equal to the corresponding two sides and included angle of another triangle.

So,

The ΔABC, ΔFGE, and ΔPQR are congruent since there is a congruent angle between the corresponding equal sides in all three triangles.

Thus,

The ΔABC, ΔFGE, and ΔPQR are congruent by SAS.

Learn more about triangle congruency here:

https://brainly.com/question/12413243

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