What is the solution to the system of equations below?

x + 3 y = 15 and 4 x + 2 y = 30
(6, 3)
(3, 6)
(7, –6)
(–6, 7)

Answers

Answer 1

Answer:

Step-by-step explanation:

For x+3y=15

Take (6,3) and substitute the points:

6+3(3)=15

6+9=15

15=15

For 4 x + 2 y = 30 and substitute the points:

4(6)+2(3)=30

24+6=30

30=30

So, (6,3) is the solution of the given system of equations.

If you need to ask any questions, let me know.

Related Questions

Place these numbers in order from greatest to least. 19/5, 1.62, –14/3, –0.5​

Answers

Answer:

See below:

Step-by-step explanation:

Hello my name is Galaxy and I'll be helping you today. I hope you are having a nice day!

Simplification

To figure out how we can order them, we can first simplify the problems so that we can easily determine its place. We can put the fractions into decimal form so that they are are in one form and will be easy for us to comprehend.

[tex]\frac{19}{5}=3\frac{4}{5}=3.80[/tex]

We know that [tex]\frac{1}{5}[/tex] is equal to 0.20 because we know that 1.00 will be equal to 100 in this case and we can divide that by five to get 20 which will be divided back to get to 0.20.

As I've explained how I've simplified the first one, simplifying the others should be a quite similar process, feel free to comment below if you need any assistance with this.

[tex]\frac{19}{5}=3.80\\1.62=1.62\\\frac{-14}{3}=-4.6667\\ -0.5=-0.5[/tex]

(Everything simplified to decimal form.)

We can now proceed to ordering them.

Ordering

Ordering decimals doesn't have to be as hard as it looks, we know that as per the number line a number that is more negative (e.g. -37) will be less than (e.g. -5) as it is closer to the number 0.

Now that we know how to order the negative numbers, we can order them into order, and for ordering the positive numbers, we should already know how to do that.

So, now, in order from Greatest to Least. We can order them by what I said above.

[tex]3.80>1.62>-0.5>-4.666[/tex]

We can convert the numbers back into their original form by looking at how we converted them in the Simplification section.

Final Answer

After converting them into a way that we can comprehend, we get our final answer in terms of greatest to least as:

[tex]\frac{19}{5}>1.62>-0.5>\frac{-14}{3}[/tex]

Cheers!

What is the degree of 6x5 - 4x2 + 2x2 – 3 + x?
O A. 6
O B. 2
C. 5
O D. 3

Answers

Answer:

5

Step-by-step explanation:

It is the greatest exponent.

I would appreciate if you answered!

Answers

Answer:

None of those options

Step-by-step explanation:

I just did the work myself and even ran it through a calculator but the correct answer isn't one of those options.  Here's my work:

[tex]-\frac{5}{6} =z+\frac{1}{8}\\-\frac{5}{8}-\frac{1}{8}=z\\-\frac{40}{48}-\frac{6}{48}=z\\-\frac{46}{48}=z\\-\frac{23}{24}[/tex]

I'd contact you teacher about that...it might be an error in their system (it's happened to me a few times before where the correct answer is marked as incorrect or isn't even an option)

There is currently 9 inches of snow on the ground.
With the thunderstorms today the snow will melt at
a rate of 1.5 inches per hour.

1. Write an equation to represent this situation

2. What do the slave and y-intercept mean

3. After how many hours would all the snow be melted

4. Make a table of this situation to show when all the snow would be melted

Answers

Answer:cold weather pose, there are armies that have and can conduct large-scale, ... to one inch (2.5 centimeters) per hour accumulates.

Step-by-step explanation:

Answer:

1.5 × ? = 9

9÷1.5 = 6

so the answer would be 6 hours

Find 1 2··31 1 22 1··22. Show your work

Answers

1 = 1 = 1 < 2 < 22

1 is equal to 1 is equal to 1 is less than 2 is less than 22

1 = 1    =1    < 2   < 22                                                                                                                1       1       1       1        1        hope help mark brain.....?

A particular plant root grows 3.5 inches per month.How many centimeters is the plant growing each month?

Answers

Answer:1 inch = 2.54 centimeters so the answer is 3.76

Step-by-step explanation:

(1 inch = 2.54 centimeters). 0.73 centimeters 1.38 centimeters 6.04 centimeters 8.89 centimeters unsubscribe · report · tue mathematics

The answer is 8.89 centimeters

Determine if the table represents a linear function, quadratic function, or exponential function.

Answers

Answer:

Quadratic

Step-by-step explanation:

Formula: ax^2+bx+c

The value of a new car in 2015 was 40,000 dollar. It depreciates each year by 7%. How much will the car be worth in 2026?

Answers

Answer: $30,800

Step-by-step explanation: First you have to subtract 2026 - 2015, which is 11 years. Since it depreciates by 7% each year, you would multiply 7 by 11, which is 77. 77 is the percent of depreciation of the car. After that, you would divide 40000 by 100, which is 400. Then you multiply 400 by 77 to get you final answer.

Select the correct answer.
What is the vertex of the function f(x) = |x + 7| − 3?

Answers

the vertex is at (-7,-3)

describe a set of data that has neither a positive nor a negative association , but does have a valid trend line

Answers

Answer:

Step-by-step explanation:

The points on the scatter plot seem to be scattered randomly, there is no relationship or no correlation between the variables.

Given that, a set of data that has neither a positive nor a negative association, but does have a valid trend line.

What is scatter plot?

Scatter plots are used to observe and plot relationships between two numeric variables graphically with the help of dots. The dots in a scatter plot shows the values of individual data points.

If the points on the scatter plot seem to form a line that slants down from left to right, there is a negative relationship or negative correlation between the variables. If the points on the scatter plot seem to be scattered randomly, there is no relationship or no correlation between the variables.

Therefore, the points on the scatter plot seem to be scattered randomly, there is no relationship or no correlation between the variables.

To learn more about the scatter plot visit:

https://brainly.com/question/29231735.

#SPJ2

please this is half my grade!!!
Benjamin has a ladder that is 15 ft long. He wants to lean the ladder against a vertical wall so that the top of the ladder is 13.8 ft above the ground. What is the angle, rounded to the nearest tenth, that the ladder makes with the ground? Show your work
2. What is the length of side YZ to the nearest tenth? Show your work.
side XY is 11 feet, and angle Z is 35 degrees(this is a right triangle)



3. What are the exact measures of the other two sides of the triangle? Use special right triangles ratios and show your work.
Side AC is 14 feet, this is a right triangle, and angle A is 30 degrees

Answers

The special right triangle is the right triangle that have acute angle values

that simplify the process of finding its dimensions.

The correct values are;

1. The angle the ladder makes with the ground, is approximately 66.93°

2. The length of YZ is approximately 19.18 ft.

3. CB = 7 ft. and AB = 7·√3 ft.

Reasons:

1. The length of the ladder = 15 ft.

Height of the ladder above the ground, h = 13.8 ft.

Required:

The angle the ladder makes with the ground.

Solution:

The angle the ladder makes with the ground is given by the equation;

[tex]sin(\theta) = \dfrac{Length \ of \ the \ ladder}{Height\ of \ the \ ladder \ above the \ ground} = \dfrac{13.8}{15} = 0.92[/tex]

[tex]\theta = arcsin\left(0.92 \right) \approx 66.93^{\circ}[/tex]

2. The given parameters are;

XY = 11

∠Z = 35°

YZ = Required

In a right triangle, the side facing the acute angle is a leg of the triangle.

Therefore;

XY is the opposite side to ∠Z

[tex]sin(\angle Z) = \dfrac{XY}{YZ}[/tex]

Which gives;

[tex]sin(35^{\circ}) = \dfrac{11}{YZ}[/tex]

[tex]YZ= \dfrac{11}{sin(35^{\circ}) } \approx 19.18[/tex]

YZ ≈ 19.18 ft.

3. AC = 14 ft.

∠A = 30

Required:

The length of the other two sides

Solution:

Where by AC is the hypotenuse side, we have;

CB = AC × sin(∠A)

Therefore;

CB = 14 × sin(30°) = 7

CB = 7 ft.

AB =  AC × cos(∠A) = 14 × cos(30°) = 7·√3

Learn more here:

https://brainly.com/question/12237712

1. The angle the ladder makes with the ground, is approximately 66.93°

2. The length of YZ is approximately 19.18 ft.

3. CB = 7 ft. and AB = 7·√3 ft.

BRAINLIEST
can you help me out :)

Answers

Answer:

DC = 30.47 units

KL = 5.34 units

Step-by-step explanation:

Cos 54 * 20 = AD

Sin 54 = BD/20

Sin 54*20 = BD

BD = 0.809*20 = 16.2

Tang 28 = BD/DC

DC = BD/tang 28

DC = 16.2/0.5317

Tan 51 = JL/14

JL = 1.2349 * 14 = 17.29 units

Cos 72 = KL/JL

Cos 72 * 17.29 = KL

cos 72 = 0.309

KL = 0.309 * 17.29 = 5.34 units

would love it if someone helped with this question please...

Answers

Answer:

$40.00

Step-by-step explanation:

to find the cost multiply the cost per unit by the number of units: 10/6 x 24 = 40

40 dollars

10/6= 1.666666666666667
Multiply 1.666666666666667 by 24 you get 40

WILL MARK BRAINLIEST
Solve 39.2 ÷ 7 = ________.

5.2
5.3
5.5
5.6

Answers

Answer:

5.6

Step-by-step explanation:

Answer:

5.6

Step-by-step explanation:

I just take each answer and multiply it by 7 until the answer matches 39.2.

5.6 * 7 = 39.2

What is the domain of the relation?

Answers

Answer:

Domain: 3, 6, 8, 9, 7

Step-by-step explanation:

Domain: 3, 6, 8, 9, 7

(Domain, Range)

The domain of a function or relation is the set of all possible independent values the relation can take.

Hope this helps :)

Answer:

Domain: {3, 6, 8, 9, 7}

Step-by-step explanation:

A relation is a set of ordered pairs, (x, y). The domain of a relation is the set of all x-values. Therefore, the following is the domain of the given relation:

Domain: {3, 6, 8, 9, 7}.

4x+8=3
help asap
step by step please

Answers

[tex]4x +8 =3\\\\\implies 4x = - 5 \\\\\implies x = - \dfrac 54[/tex]

Answer:

x= -5/4

Step-by-step explanation:

4x+8=3

4x=3-8

4x=-5

x= -5/4

Find m<1. Please help quick!

Answers

Answer:

17°

Step-by-step explanation:

Look everything you have above the horizontal line.

It's a 73° angle, plus the one you need, plus 90°. They add up to 180.

m+73+90=180, or m=17.

Need helpppppp!!!!!!!!!!

Answers

Answer: 12, 15, 11, 28

Explanation:

14. FC is half of AC so the length of FC is 12.

15. BD is 30 and half of that is BC or 15. AB and BC have same length so it is also 15.

16. ED and BE have same length so it is also 11.

17. BD is twice of AB so if AB is 14, BD will be 28.

Would appreciate a brainly <3

14=12
15=15
16=11
17=28

Hope this helps! :) please make brainliest

Write the transformed equation for g(x)+4 calling it h(x)

Answers

Answer:

h(x) = (1/3)x + 6

Step-by-step explanation:

yeah-ya ....... right?

3x^2x4x^5 p please helppppppppppppppppppppppppppppppppppppp

Answers

Answer:

i think it is 120

Step-by-step explanation:

John always wears a shirt, pants, socks, and shoes. He owns 12 pairs of socks, 3 pairs of shoes, 5 pairs of pants, and 5 shirts. How many different outfits can John make?

Answers

Answer:

900

Step-by-step explanation:

12 * 3 * 5 * 5 = 900

900

What is considered an exponential monthly growth rate.

Answers

The Answer equals 1.9%

PLEASE HELP EMERGENCY what is the solution to the equation ^3 square root 2x+5 =5

Answers

Answer:

60

Step-by-step explanation:

[tex] \sqrt[3]{2x + 5} = 5 \\ (\sqrt[3]{2x + 5} = 5) ^{3} \\ 2x + 5 = 125 \\ 2x = 120 \\ x = 60[/tex]

c) 2 x x 3 x y


Please help

Answers

The answer to your problem is 6x^2y

Solve for r.
-70 +1 > 22
OR
102 +41 81

Answers

-69>22 or 224 is what I think the answer is not too sure

Can somebody show me how to do this with answers? I don’t understand how my teacher shows me

Answers

If you mean adding text above the underscore press the text button on the left and it will allow you to click above the underscore and add text as an answer to said problem.

he directions for Grow Better fertilizer say that the 25-pound bag covers a 1,000-foot row of vegetables Which brand would Cala need more of to fertilize her vegetables? Explain

Answers

Using the principle of proportional relationship, the amount in pounds of Grow better Fertilizer exceeds the required amount of Feed all Fertilizer. Hence, more of Grow better Fertilizer would be needed.

Feed - All Fertilizer :

2 pounds = 100 foot row

x pounds = 450 foot row

Cross multiply

100x = 900

Divide both sides by 100

x = 900 / 100

x = 9 pounds

Grow better Fertilizer :

25 pounds = 1000 foot rows

x pounds = 450 foot rows

Cross multiply

1000x = 450 × 25

1000x = 11250

Divide both sides by 1000

x = 11250 / 1000

x = 11.25 pounds

Hence, Cala will need more of Grow better Fertilizer.

Learn more : https://brainly.com/question/25677544

Can you give me the answers for these four? It's passed due and I need to get it turned in ASAP! Please help!

Answers

1. -15x
2. -30r-17
3. n-10
4. 21n-12

Explanation: For the first problem, combine the terms with x. For the second problem, combine -17r and -13r, then combine -1 and -16. For the third problem, all you have to do is combine -9 and -1. For the fourth problem, combine 6n and 15n, and then combine 7 and -19. Hope this helps!

Please help me on this math problem. I does not make any sense>

Answers

Answer: She did not create it correctly because we have two science students and six music students instead of three science students and five music students. I believe pie charts work well because they give a quick overview of the students.

Would appreciate brainly <3

Write a polynomial equation that has three real zeroes, and a y intercept of 250

Answers

Answer: Forget about imaginary roots.

Draw an x axis and a y-axis, at right angles.

Place a dot at y=250.

Place a dot at x=60 and place a dot at x=120.

Sketch a graph: in quadrant II, go left from the y-intercept of 250, downward and then curve upward before getting to the x-axis. You have created a local min in the 2nd quadrant.

In the first quadrant, curve smoothly fromthe y intercept down to 60 on the x axis, and continue toward the right and into the fourth quadrant, eventually curving upward and eventually crossing the x axis at 120.  Continue upward indefinitely. You have created another local min, at about x=90.

The smooth polynomial curve will have a local max at(0,250).

Now y = a(x-60)(x-120)(x2+1) can represent this curve; it has two real zeros. Adjust "a" so that the y-intercept is 250.

Step-by-step explanation:

i hope this helps

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