X + 4y = 7 4x - 3y = 9 equivalent equation and solution

Answers

Answer 1

Answer:

x = 3, y = 1

Step-by-step explanation:

Given:

[tex]\begin{bmatrix}x+4y=7\\ 4x-3y=9\end{bmatrix}[/tex]

Solve:

[tex]\mathrm{Substitute\:}x=7-4y[/tex]

[tex]\begin{bmatrix}4\left(7-4y\right)-3y=9\end{bmatrix}[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]\begin{bmatrix}28-19y=9\end{bmatrix}[/tex]

[tex]\mathrm{For\:}x=7-4y[/tex]

[tex]\mathrm{Substitute\:}y=1[/tex]

[tex]x=7-4\cdot \:1[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]x=3[/tex]

[tex]\mathrm{The\:Answer\:to\:the\:system\:of\:equations\:are:}[/tex]

[tex]x=3,y=1[/tex]

Check Answer:

3 + 4(1)

7 (1) = 7

True

4(3) - 3(1)

12 - 3 = 9

True

Hence, x = 3 , y =1

~lenvy~


Related Questions

helppppppppppppppppppppppp

Answers

Answer:

0.13m

Step-by-step explanation:

1m = 100cm

0.13m = 13cm

Answer:

0.13 meters

Step-by-step explanation

In metric measures the conversion from meters to centimeters is

1 meter = 100 centimeter

because centi means one hundredth and meter means the unit meter.

Therefore, 1 cm = 0.01 meter. Now you just multiply 13 on both sides and you get 13 cm = 0.13 meters

A card is drawn from a well-shuffled deck of 52 cards. What is the probability of drawing an ace or a 6?
A. 13/2

B. 7/26

C. 2/13

D. 6/52

Answers

Answer:

C

Step-by-step explanation:

There are 4 aces and 4 sixes. 4 + 4 is 8 (since it says or) so the chance is 8 / 52. 8 / 52 simplified, divide both sides by 4 and you get 2 / 13.

Answer:

C

Step-by-step explanation:

there are 4 aces and 4 sixes in a deck of 52 cards.

"And" means a probability * another probability

"Or" means a probability + another probability.

In this case, it is (probability of picking an ace) + (probability of picking an six).

[tex]\frac{4}{54} + \frac{4}{54} = \frac{8}{54} = \frac{2}{13}[/tex]

Please pick as brainliest!

The population of Hampton was 7,490 people when Malik moved there. Currently it is 10% smaller. What is the current population?
people

Answers

Answer:

6741

Step-by-step explanation:

if its 10% smaller you would have to do the original precent, which is 100%, and subtract 10%, (90%) then divide 90 by 100 to get 0.9 and  multiply it by the total population, in this case 7,490, and you get your answer. i hope this helps :)

683+1738x175220=


Chose you answer:

304533043. 194739421. 345802178. 643221. 24753


I need help please give correct answer

Answers

The answer is 304,533,043 just trust me on this one plus you can use a calculator to check
Using the order of operations, PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)
683+1738x175220
683+304,532,360
304,533,043

18 less than the quotient of a number and -5 is greater than 3

Answers

Step-by-step explanation:

x = "a number"

x/-5 - 18 > 3

A- 5 = 31
0.5b - 5 = 31
2c - 5 = 31

Answers

Answer:

what is the question?

Step-by-step explanation:

Consider this composite figure made of a cone and a cylinder. a cone has a height of 8 centimeters and radius of 3 centimeters. a cylinder has a height of 7 centimeters and radius of 3 centimeters. what is the volume of the cone? cone v = 1 3 bh v = 1 3 πr2h v = 1 3 π32(8) v = 1 3 π(9)(8) v = 1 3 π(72) the cone has a volume of π cm3

Answers

The volume of the cone with a radius of 3 cm and height of 8 cm is 24 π cm³. Then the correct option is D.

What is Geometry?

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

Consider this composite figure made of a cone and a cylinder.

A cone has a height of 8 centimeters and a radius of 3 centimeters.

A cylinder has a height of 7 centimeters and a radius of 3 centimeters.

Then the volume of the cone will be

We know that the volume of the cone

[tex]\rm Volume = \dfrac{1}{3} \pi r^2 h[/tex]

Then we have

[tex]\rm Volume = \dfrac{1}{3} \ \pi \ 3^2 *8\\\\\rm Volume = \dfrac{1}{3} \ \pi *9*7\\\\\rm Volume = \dfrac{1}{3} \ \pi \ 72\\\\Volume = 24 \ \pi[/tex]

More about the geometry link is given below.

https://brainly.com/question/7558603

Answer:

24

Step-by-step explanation:

Got it right on the question

For each set of three lengths, determine if they can be the side lengths of a triangle.

Answers

Answer:

Yes, No, Yes, No

Step-by-step explanation:

Use the triangle inequality theorem, which states that the sum of any two side lengths must be greater than the third side length.

Apply this to each combination.

Use one inequality, compare the sum of smallest two sides with the largest side.

1) 4, 9, 8

4 + 8 = 12 > 9, so Yes

2) 7, 25, 7

7 + 7 = 14 < 25, so No

3) 8.8, 24, 15.8

8.8 + 15.8 = 24.6 > 24, so Yes

4) 5, 9, 3

3 + 5 = 8 < 9, so No

a rectangle has a perimeter of 36 feet. The length of the mat is twice the width. Write and solve an equation to determine the length, in feet, of the mat.
Then find the area, in square feet, of the mat.

Answers

Concept :-

We have been provided with some information regarding a rectangular shaped mat. And on the basis of that information, we will create some assumptions and create and equation and equate it to get our required answer.

Given Information :-

A rectangular mat with,

Perimeter = 36 ft. Length = twice the width

To Find :-

The dimensions of the matArea of the mat

Formula Used :-

[tex] \diamond \: \underline{ \boxed{\begin{array}{cc} \sf1. \: Perimeter_{Rectangle} = 2(l+b) \\ \\ \sf 2. ~Area_{Rectangle} = l\times b \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \end{array}}} \: \star \\ [/tex]

Solution :-

Let the breadth of the mat be x, therefore,

Length = 2x

Now, according to the question,

[tex] \sf \hookrightarrow 36 \: = 2(2x + x) \\ \\ \\ \sf \hookrightarrow 6x = 36 \: ft. \: \: \: \: \: \: \: \: \: \\ \\ \\ \sf \hookrightarrow x = \cancel\frac{36}{6} = 6 \: ft. \: \: \\ [/tex]

Thus,

Length = 2x = 2 x 6 = 12 ft. Breadth = x = 6 ft.

Now, we have to find out the area of the mat, thus,

[tex] \sf \hookrightarrow Area=6 \times 12 \\ \\ \\\sf \hookrightarrow Area=72 \: sq. ~ft. \\ \\ [/tex]

Thus, the area of the mat is 72 sq. ft.

[tex]\underline {\rule{221pt}{2.5pt}} \\ \\ [/tex]

Answer:

72 sq. feet

Step-by-step explanation

Since the perimeter is 36 feet and the length is 2w, you have to do the guess and check method.

I already did the guess and check method. So, here's how it became:

length =12

width=6

because 6x2=12 or 12 divide 2=6.

12 + 6 + 12 + 6.

12+6= 18. 12+6=18. 18+18=36 feet.

To find the area of a rectangle, you have to do L times W.

Which means 12x6.

12x6=72 sq. feet.

I hope this helps!!!

How many times more sunscreen is in Bottle B than in Bottle A? Provide
your answer using a decimal.

Answers

Using the volume of the rectangular prisms, it is found that there is 1.5 times more sunscreen in Bottle B than in Bottle A.

What is the volume of a rectangular prism?

The volume of a rectangular prism of dimensions l, w and h is given by:

V = lwh.

For bottle A, we have that, in inches, l = 1, w = 2, h = 6, hence the volume in cubic inches is given by:

Va = 1 x 2 x 6 = 12 in³.

For bottle B, we have that, in inches, l = 1.5, w = 3, h = 4, hence the volume in cubic inches is given by:

Vb = 1.5 x 3 x 4 = 18 in³.

The ratio between the volumes is given by:

r = Vb/Va = 18/12 = 1.5.

Hence, there is 1.5 times more sunscreen in Bottle B than in Bottle A.

More can be learned about the volume of a rectangular prism at https://brainly.com/question/17223528


HURRY ASAP WILL GIVE BRAINLY

Answers

One is 180,
Two is 90,
Three is 180,
And four is 180.

c) d) When 3 is subtracted from the number, the remainder is 5.​

Answers

Answer:

so the equation would look like this, x - 3 = 5

the number or x = 8

Step-by-step explanation:

8 - 3 = 5

Hope this helps! :)

that are equivalent to 4(3x + 3)

Answers

Answer: 4(3 x + 3) would be equivalent to 12 x + 12 .

Step-by-step explanation: because both expressions remains the same for the value of x . *your welcome <3* .

What is the circumference

Answers

25.1 yards
multiply the radius by 2 and multiply that number with pi and you get your answer of 25.1 yards

The area of a square is 9ft find the area of a square with 4 times as large

Answers

Well the square root of 9 is 3 so 3 is the length of each side. 3x4=12 so 12x12=144 . The area of the second square is 144 in2.

Answer:

36ft

Step-by-step explanation:

9ft times 4ft= 36ft

ILL GIVE THE BRAINLIEST TO THE PERSON WHO DOES THIS FOR ME THANK YOU
(Statistics hw)

Answers

11% of the total are left handed

so if we take random 100 students then 11% will be applicable to it also

so :-

[tex] \frac{11}{100} \times 100 \\ 11students[/tex]

What is the volume of this sphere?

1024π m^3

972π m^3

729π m^3

81π m^3

Answers

Answer:1024π m^3

Step-by-step explanation:

i got 100 on the quiz

What is the constant term in the expression 8xy − 9x2 y − 5x 6

Answers

Answer:

6

Step-by-step explanation:

A constant is a term without a variable.

Every other number has a variable (x,y) to it except for 6.

Feel free to save this for whenever you get stuck on things like this! I know this section is hard.

In the expression 8xy − 9x^2+ y − 5x +6 the constant term is 6 which is a fixed quantity or cannot be changed.

What is polynomial?

Polynomial is the combination of variables and constants in a systematic manner with "n" number of power in ascending or descending order.

We have an expression:

[tex]\rm 8xy-9x^2+y-5x+6[/tex]

Let's denote it with f(x,y)

[tex]\rm f(x,y) =8xy-9x^2+y-5x+6[/tex]

As we know the constant term means which cannot be changed that values are fixed or fixed quantity.

From the above expression, the constant value in the expression is 6

Thus, in the expression 8xy − 9x^2+ y − 5x +6 the constant term is 6 which is a fixed quantity or cannot be changed.

Learn more about Polynomial here:

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ΔA'B'C' was constructed using ΔABC and line segment EH.

2 triangles are shown. Line E H is the line of reflection. Line segment B B prime has a midpoint at point D. Line segment A A prime has a midpoint at point F. Line segment C C prime has a midpoint at point G.

For to be the line of reflection between and , which statements must be true? Select three options.

BD = DB'
DF = FG
m∠EFA = 90°
The line of reflection, EH, is the perpendicular bisector of BB', AA', and CC'.
ΔABC is not congruent to ΔA'B'C'.

Answers

Answer: 1,3,4

Step-by-step explanation:

Answer: 1., 3., and 4.

Step-by-step explanation: On Edge!!

19. Which of the following statements about the number line is true?
A. Numbers get smaller as you move to the left on the number line.
B. Number lines can't help you compare numerals.
O C. Numbers get larger as you move to the left on the number line.
D. Number lines end with the number 10.

Answers

Answer:

  A. Numbers get smaller as you move to the left on the number line.

Step-by-step explanation:

A number line is typically drawn so that smaller, more negative numbers are on the left, and larger, more positive numbers are on the right.

__

  Numbers get smaller as you move to the left on the number line.

_____

Additional comment

Number lines can be drawn with any scale and range, depending on what they are intended to represent. For representation of small integers, it is not uncommon for a number line to range from -10 to +10. However, that is not the only possible range that might be used.

Any number line can be used to show number order (least to greatest ≡ left to right). A number line with a linear scale can also be used to show relative differences between numbers: a greater distance on the number line corresponds to a greater difference between numbers.

A fair coin is tossed 3 consecutive times. What is the probability that the result of the first toss is heads and the results of the next two are tails?
A: 1/8
B: 1/6
C: 1/2
D: 1/4

Answers

Answer: a). 1/8

Step-by-step explanation:

If the coin is fair, then the odds of getting heads or tails should be equal, 12.

Then 3 tosses of tails will have a chance of 12⋅12⋅12=18.

2. A football is punted into the air. Its height h, in metres, after t seconds is given by the equation
h(t) = -4.91? + 24.5t + 1
a) How high is the ball after 1 second?

b) Find the maximum height of the ball to one decimal place.

c) When does the ball reach its maximum height?

d) When does the ball hit the ground?

Answers

Answer:

I'll assume the ? is supposed to be t^2

See the answers below.

Step-by-step explanation:

h(t) = -4.91t^2 + 24.5t + 1

a) How high is the ball after 1 second?

h(1) = -4.91*(1)^2 + 24.5*(1) + 1

h(1) = 20.59 meters

b) Find the maximum height of the ball to one decimal place.

We can find the maximum height by graphing or by taking the first derivative and setting it equal to zero (the slope is zero at the top of the curve):

  First Derivative

 h(t) = -4.91*(t)^2 + 24.5*(t) + 1

'h(t) = -9.82*(t) + 24.5

0 = -9.82*(t) + 24.5

9.82t = 24.5

t = 2.49 seconds is the time the ball reaches maximum height.  Use that is the equation to find the height:

h(2.49) = -4.91*(2.49)^2 + 24.5*(2.49) + 1

h(2.49) = 31.6 meters

  Graph

See attached graph.  The maximum height occurs at t = 2.49 seconds and the height is 31.6 meters.

c) When does the ball reach its maximum height?

From the first derivative calculation above, t = 2.49 seconds to reach maximum height.  The graph also shows 2.49 seconds.  Better hurry.

d) When does the ball hit the ground?

The can be determined by either direct calculation of from the graph (attached).

Calculation:  

 h(t) = -4.91t^2 + 24.5t + 1

0 (ground) = -4.91t^2 + 24.5t + 1

4.91t^2 - 24.5t - 1 = 0  Solve with the quadratic equation.  I get t = 5.04 seconds

 Graph:

The graph shows 4.95 seconds.  Both agree when rounded to one decimal point:  5.0 seconds.

I have five apples and ten oranges. If a fruit basket must contain at least one piece of fruit, how many kinds of fruit baskets can I make

Answers

Answer:

answer is 15

please that is what I'm thinking

9 halves of a cupcake for my family plus extra for my 6 friends how many should I
buy.

Answers

Answer :- 7½ or 8 ( explained below)

Explanation:-

Given :-

9 halves for family6 halves for friends

So in total :- 15 halves for both of them

It means :- 7½ cupcakes in total u required

if u can buy an half cupcake then u need to buy :- 7½

If u can't but an half cupcake then u need to buy :- 8

Answer:

Step-by-step explanation:

8 for learning games

In a survey of some tourists, 80% of the tourists have been to India and 35% of the tourists have been to china.If all the tourists who have been to china also been to India and 260 have not been either of the countries, find the number of tourists who have been india but not china.​

Answers

Answer:

  585

Step-by-step explanation:

This sort of problem can be solved using a 2-way table that categorizes tourists by combination of destinations. Of the four possible combinations, one is ruled out (China, but not India). We can determine percentages and numbers for the combinations of interest using the given data.

__

80% have been to India, so 20% have not. All of those have also not been to China. Since tourists in that category number 260, there must be ...

  260/20% = 1300 . . . tourists surveyed

Of the 80% who have been to India, 35% have been to China. That leaves 45% who have been to India, but not China. This number is ...

  45% × 1300 = 585

The number of tourists who have been to India, but not China, is 585.

Solve the system using substitution
y+8x=10
2y-4x=40
(_,_)

Answers

No lo se bro eso es de secundaria yo voy en primaria xd

Step-by-step explanation:

i used the two methods....I hope this will help you!

Help me please! I’ll give Brainliest to the right answer!

Answers

Answer:

(x,y) ---> (x+9, y+8)

Step-by-step explanation:

you simply take one point (ex point R to R^1) and count the distance from left to right/right to left which is 9 so that is your X and count up which will be your Y in this case is 8.

How do I solve this problem step by step?

Answers

Answer:

  392.5 in²

Step-by-step explanation:

The area of a composite figure is found by decomposing it into areas that you have formulas for. This figure is easily decomposed to a trapezoid and a rectangle.

Trapezoid

The base lengths of the trapezoid are 20 in and 9 in. Its height is the difference between the height of its top base (21 in) and the height of its bottom base (16 in). That difference is 5 in.

  A = 1/2(b1 +b2)h

  A = 1/2(20 in + 9 in)(5 in) = 72 1/2 in²

__

Rectangle

The area of a rectangle is the product of its base and height.

  A = bh

  A = (20 in)(16 in) = 320 in²

__

Total area

The area of the whole figure is the sum of the areas of its parts.

  area = trapezoid area + rectangle area

  area = 72 1/2 in² +320 in² = 392 1/2 in²

The graph of a function g is shown below.
Find g (2) and find one value of x for which g(x) = -2.

Answers

Answer:

a. 1

b. 1

Step-by-step explanation:

by looking at the graph you can deduce the answer.

The equation for the given graph is g(x) = x²-3, and the value of g(2) will be 5.

What is a function?

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

The equation for the function is,

g(x) = x²-3

The graph of a quadratic function that has something bowl-shaped. Any equation of the form ax²+bx+c=0  where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.

(x - h)² = 4a(y - k)

(h, k) is the vertex of the parabola:

a = √[(c-h)² + (d-k²]

(c, d) is the focus of the parabola:

To find the value of g (2) the value of the function is,

g(2) = 2²-3

g(2) =8-3

g(2) =5

Thus, the equation for the given graph is g(x) = x²-3, and the value of g(2) will be 5.

Learn more about the function here:

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HELP PLEASE I NEED IT NOW.

Answers

Answer:

Below :)

Step-by-step explanation:

1) 5^2 = 25

2) 12^2 = 144

3) 9^2 = 81

4) 15^2 = 225

5) 8^2 = 64

6) 7^2 = 49

7) 20^2 = 400

8) 13^2 = 169

9) 30^2 = 900

10) 25^2 = 625

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