Mathematics High School

Find the solution to the system of equations. Please Help

Answers

Answer 1

Answer:

x=−2

y=−4

Step-by-step explanation:

−2x+2y=−4

3x+3y=−18

In order to solve by elimination, coefficients of one of the variables must be the same in both equations so that the variable will cancel out when one equation is subtracted from the other.

−2x+2y=−4,3x+3y=−18

To make −2x and 3x equal, multiply all terms on each side of the first equation by 3 and all terms on each side of the second by −2.

3(−2)x+3×2y=3(−4),−2×3x−2×3y=−2(−18)

Simplify.

−6x+6y=−12,−6x−6y=36

Subtract −6x−6y=36 from −6x+6y=−12 by subtracting like terms on each side of the equal sign.

−6x+6x+6y+6y=−12−36

Add −6x to 6x. Terms −6x and 6x cancel out, leaving an equation with only one variable that can be solved.

6y+6y=−12−36

Add 6y to 6y.

12y=−12−36

Add −12 to −36.

12y=−48

Divide both sides by 12.

y=−4

Substitute −4 for y in 3x+3y=−18. Because the resulting equation contains only one variable, you can solve for x directly.

3x+3(−4)=−18

Multiply 3 times −4.

3x−12=−18

Add 12 to both sides of the equation.

3x=−6

Divide both sides by 3.

x=−2

The system is now solved.

x=−2,y=−4

Related Questions

What is the next term in the pattern 0.4, 0.8, 1.2, 1.6, ...?

Answers

Answer:

2.0, 2.4. 2.8

Step-by-step explanation:

Pls help meeeeeeeee will give BRAINLIEST

Answers

d.) 4r+13b+16

hope this helps. :)

Taylor bought 48 of marshmallows to the bonfire. Taylor and 10 of her friends made s’mores with them. At the end of the night, there were 9 bags left. How many bags of marshmallows did Taylor and her friends go through? (Write the operation and the answer)

Answers

Answer:

The operation used is the Subtraction operation

39 bags of marshmallows

Step-by-step explanation:

The operation we would be using here is the Subtraction operation.

Total number of bags if Marshmallows bought = 48 bags

Number of people present = Taylor + 10 friends = 11 people

Amount of Marshmallows left = 9 bags

Hence, the number of bags of marshmallows that Taylor and her friends went through is calculated as:

48 bags of marshmallows - 9 bags of marshmallows

= 39 bags of marshmallows

Solve. Suppose that 1,000 students took a math examination wherein the maximum score that they can obtain is 100. Their average score is 70 with a standard of the deviation of 5. How many of the students obtained a score from 70 to 95?

Answers

Answer:

prolly like 689

Step-by-step explanation:

As per the given data, approximately 499 of the 1,000 students obtained a score from 70 to 95.

What is z-score?

A standardized score is an example of a z-score. A z-score is a measure of how far a data point is from the mean in a distribution.

To solve this problem, we need to calculate the number of students who obtained a score from 70 to 95.

First, we need to calculate the z-scores for these two scores using the formula:

z = (score - mean) / standard deviation

For a score of 70:

z = (70 - 70) / 5 = 0

For a score of 95:

z = (95 - 70) / 5 = 5

Next, we need to find the area under the standard normal distribution curve between these two z-scores using a standard normal distribution table or calculator.

The area between z = 0 and z = 5 is approximately 0.499, or 49.9%.

Finally, we can calculate the number of students who obtained a score from 70 to 95 by multiplying this proportion by the total number of students:

Number of students = proportion x total number of students

Number of students = 0.499 x 1000

Number of students ≈ 499

Therefore, approximately 499 of the 1,000 students obtained a score from 70 to 95.

For more details regarding standard deviation, visit:

https://brainly.com/question/23907081

#SPJ3

What is the similarity?

Answers

Answer:

The similarity ratio is 2 to 1

Step-by-step explanation:

Mathematically, when two triangles are similar, the ratio of their corresponding sides are equal

Now, let us use the angle markings

We have it that;

RP/QR = VW/VX

4/8 = 1/2

1/2 = 1/2

Macy has 8 quarters and 24 pennies in her pocket. What is the answer that correctly shows the ratio of this comparison?

Answers

Answer:

8 : 24

Step-by-step explanation:

HELP! PLEASE! 35 POINTS

Answers

Answer:

Please provide image

Step-by-step explanation:

The image is not shown.

Add 5 and 14, triple the sum, and then add four-
fifths.

Answers

Answer:

57.8 or 57 and four fifths

Step-by-step explanation:

5+14=19

19*3=57

57+0.8= 57.8

i don’t understand trig at all

Answers

Answer:

same bud

Step-by-step explanation:

What is the largest Angle of BCD?

Answers

Answer:

< C

Step-by-step explanation:

because 23 is the largest number on the triangle so the angle opposite of that side would be C

A traffic light is green for 2 minutes, red for 40 seconds, and yellow for 10 seconds. When a car approaches the light, what is
the probability that it is not red?

Answers

here total second=170 second

probability that is not red=

[tex] \frac{12}{284} [/tex]

Step-by-step explanation:

i think that is the portability that is not red

The probability that the light is not red is 13/17

How to determine the probability?

The given parameters are:

Green = 2 minutes

Red = 40 seconds

Yellow = 10 seconds

Express green as seconds

Green = 120 seconds

The probability that the light is red is:

P(Red) =Red/Total

This gives

P(Red) = 40/(120 + 40 + 10)

Divide

P(Red) = 4/17

The probability that it is not red is:

P(Not Red) = 1 - P(Red)

This gives

P(Not Red) = 1 - 4/17

Subtract

P(Not Red) = 13/17

Hence, the probability that the light is not red is 13/17

Answers

Answer:

V = 130.08

Step-by-step explanation:

To solve we will use the equation V= [tex]Pe^r^t[/tex]

V= what you are solving for

P= initial number ( 123)

R= rate (2.8%)

-we can convert the rate to a decimal by moving the decimal place 2 spaces to the left.

R= 0.028

T= time (2 years)

The equation should be... [tex]V=123e^(^0^.^0^2^8^*^2^)[/tex]

To solve we can first multiply 0.028 and 2

This is = 0.056

[tex]V=123e^0^.^0^5^6[/tex]

Then using a calculator we get...

V = 130.0845

Plzz help will mark brainiest Don't do it for the points plzz i really need help

Answers

Answer:

Step-by-step explanation:

(-3,13) and (4,-15) have a slope of 11.

helpppppppppppppppppppppppppppppppppp please!

Answers

Answer:

Answer: 7u - 63

Step-by-step explanation:

If the terms are different, and they are in this case, then the answer must be 2 terms separated by a minus sign.So write the minus sign first. - Now 7 * u = 7u7 * 9 = 63Put the 7u on the left side of the minus.Put the 63 on the right side.7u - 63

Think of an example of an externality and its effects on the third party.

Answers

Answer:

Negative consumption externalities. When certain goods are consumed, such as demerit goods, negative effects can arise on third parties. Common example include cigarette smoking, which can create passive smoking, drinking excessive alcohol, which can spoil a night out for others, and noise pollution.

805 x 3
sssssssssssssssssss

Answers

Answer:

2415

Step-by-step explanation:

805 x 3

2415

R and E + reeeeeeeee

Answers

Answer:

reeeeeeeeeeeeeeeeeeeeee

Step-by-step explanation:

Members of a soccer team raised $1416.50 to go to a tournament. They rented a bus
for $877.50 and budgeted $24.50 per player for meals. Determine the number of
players the team can bring to the tournament.

Answers

Answer: The answer is 22 players

Step-by-step explanation:

How can you tell which tape diagram you need

Answers

Answer:

i gave you an answer down below

Step-by-step explanation:

Question 3 of 40
Suppose the linear regression line y = 2.125x - 33.121 predicts a lemonade
stand's profits based on the number of cups sold. If x represents the number
of cups sold, and y represents the lemonade stand's profits in dollars, about
how much can the lemonade stand expect in profits if it sells 425 cups?
A. $930
B. $900
C. $870
D. $840
SUBMIT

Answers

Answer:

C is the correct answer

Step-by-step explanation:

A P E X

Answer: C. 870 is the correct answer

Step-by-step explanation:

find the missing side length. leave your answers as radicals in simplest form. show work!!

Answers

Answer:

v = 3√6

u = 6√3

Step-by-step explanation:

v = 3√6 because it is an isosceles triangle

u² = 2(3√6)²

u² = 108

u =√108 = 6√3

firt awnser will get brainleyst

Answers

Answer:

1) 95/24

2)23/3

3) 791/72

Step-by-step explanation:

hope this helps

Solve the system of equations using subtraction. Equation 1: 3x-2y= -2 Equation 2: 3x + y = 10 The solution is (? ,?) HURRY PLEASE!!!!

Answers

Answer:

the solution is x = 2 and y = 4 OR (2,4)

Step-by-step explanation:

From the question

Equation 1: 3x-2y= -2

Equation 2: 3x + y = 10

Subtract equation 1 from equation 2, that is

3x + y = 10 - (3x -2y = -2)

You get

3x - 3x + y - (-2y) = 10 - (-2)

0 + y + 2y = 10 + 2

3y = 12

Divide both sides by 3

∴ y = 12/3

y = 4

Substitute the value of y into equation 2 to get x

3x + y = 10

3x + 4 = 10

Then,

3x = 10 - 4

3x = 6

Divide both sides by 3

∴ x = 6/3

x = 2

Hence, the solution is x = 2 and y = 4

solve the equation to find the value of t:
2.5t = 10

Answers

Answer:

t = 4

Step-by-step explanation:

divide 2.5 by itself to cancel and divide on the other side to get 4

You divide each term by 2.5 and simplify.

The answer is t = 4

What is the slope of the line that passes through the points (-2,1) and (1,-4)?
O 3/5
0 -3/5
0 -5/3
O 5/3
-3

Answers

Answer:

-5/3

Step-by-step explanation:

y2 - y1 / x2 - x1

-4 - 1 / 1 - (-2)

-5 / 3

-5/3

Please help ASAP

Extra 500 points and brainliest

Answers

Answer:

Step-by-step explanation:

Only answer that remotely gets close to the chart.

Answer:

Step-by-step explanation:

(3) only answer closest

Hi I need help please.
If a rectangular model of a building with dimensions of 5x3x10 represents an actual building with a scale factor of 12, what are the dimensions of the actual building?

Answers

Answer:

60x36x120

Step-by-step explanation:

Because the scale factor is 1:12, you multiply the dimension of the building by 12.

find the total surface area of the shape

Answers

Answer:

510 ft²

Step-by-step explanation:

in the triangle

base (b) = 5 ft

height of the triangle (h1) = 12 ft

height of the prism = 15 ft

Now

Lateral surface area (LSA)

= perimeter of triangular base * height

= ( 13 + 5 + 12) * 15

= 450 ft²

Total surface area

= LSA + 2 * area of triangular base

= 450 + 2 * 1 / 2 * b * h1

= 450 + 5 * 12

= 450 + 60

= 510 ft²

Hope it will help :)❤

Help!

An airplane takes off at an angle of 15 degrees with the ground. To the nearest 10 feet, how far has the airplane flown when it has covered a horizontal distance of 1800 feet?

Answers

Answer:

1863.5 feets

Step-by-step explanation:

Using Trigonometry :

The distance, d in the attached diagram can be obtained using the trigonometric relation :

Cosθ = adjacent / hypotenus

Cos 15° = 1800 / d

0.9659258 = 1800 / d

0.9659258 * d = 1800

d = 1800 / 0.9659258

d = 1863.4971 feets

The distance covered to the nearest 10 feet = 1863.5 feets

The Hiking Club plans to go camping in a State park where the
probability of rain on any given day is 30%. What is the probability
that it will rain on exactly one of the five days they are there? Round
your answer to the nearest thousandth.

Answers

Answer:

0.013

Step-by-step explanation:

Use binomial probability:

P = nCr pʳ (1−p)ⁿ⁻ʳ

where n is the number of trials,

r is the number of successes,

and p is the probability of success.

Given n = 6, p = 0.69, and r = 0 or 1:

P = ₆C₀ (0.69)⁰ (1−0.69)⁶⁻⁰ + ₆C₁ (0.69)¹ (1−0.69)⁶⁻¹

P = (1) (1) (0.31)⁶ + (6) (0.69) (0.31)⁵

P = 0.013

Other Questions

Which is true about Ghana today? Its economy continues to be dependent on cocoa. Its government continues to be ruled by the military. Few efforts have been made to build better roads. Few efforts have been made to improve the economy. True or false:Bones are not a suitable sample for drug or poison testing. Andrea has prepared the following list of statements about corporations. Identify whether each statement is true or false. 1. A corporation is an entity separate and distinct from its owners. select an option 2. As a legal entity, a corporation has most of the rights and privileges of a person. select an option 3. Most of the largest U.S. corporations are privately held corporations. select an option 4. Corporations may buy, own, and sell property; borrow money; enter into legally binding contracts; and sue and be sued. select an option 5. The net income of a corporation is not taxed as a separate entity. select an option 6. Creditors have a legal claim on the personal assets of the owners of a corporation if the corporation does not pay its debts. select an option 7. The transfer of stock from one owner to another requires the approval of either the corporation or other stockholders. select an option 8. The board of directors of a corporation legally owns the corporation. select an option 9. The chief accounting officer of a corporation is the controller. select an option 10. Corporations are subject to fewer state and federal regulations than partnerships or proprietorships. Can someone help me pls in which quadrant does the point (-7,3)lie? give me answer I give you 50 points Don't give answer wrong Write a short paragraph describing how segmentation could make your marketing efforts more effective. In your response to your manager, provide at least one specific example of how using segmentation could more effectively reach customers. In addition, describe at least two specific action steps you would suggest taking in order to effectively segment your customers. 28 = 7bSolve for bTell what you did to find b which of the following was not a cause of the breakdown of law and order in Arkansas following the Civil War? In a swimming competition, Peter swam 600m and Gabriel swam 2km .What is the ratio of Peters distance to Gabriels? Give your answer in its simplest form. b. Express the ratio 20cm to 15m in the form 1: n c. Express the ration 60 cm to 20 m in the form 1 : n To remember details,____.Read slowlyScanAvoid readerReading rate Skimming. Jared puts dollars in a jar. the following week he puts 2 more dollars in the jar. for each of the following six weeks, Jared continues to deposit 2 dollars in his savings jar each week. Determine if the relationship is Liner or nonlinear. Explain Determine if the sequence below is arithmetic or geometric and determine thecommon difference / ratio in simplest form.5,10,20 Eddie's Electric charges $90 per hour plus a $50 traveling fee. Which equation models this scenarlo? BRAINLIEST!!!!!PLEASE HELPPNO FILE HOSTING LINKSA construction crew built 7 1/2 miles of road in 3 1/8 days.What is the unit rate in miles per day?Write your answer as a fraction or a mixed number in simplest form. what color is not a color?1.black2.red3.gray PLEASE HELP!!!! In order for air to flow out of the lungs, pressure outside must be_________pressure in the lungs.a.greater thanb.less thanc.equal to HELP I NEED SOMEONE WHOS READ "The Giver" BY LOIS LOWRY TO ANSWER THESE QUESTIONS ITS DUE IN 3 HOURS What is the image point of (-6, 5) after a translation right 2 units and down 4 units? What is the value of the expression 13/4 (8)? * Find the area of each sector. Round your answers to the nearest tenth.