x+y=4 and 2x+3y=2 then find x and y​

Answers

Answer 1

Answer:

x=10, y=-6

Step-by-step explanation:

1) express x from the first equation x+y=4 x=4-y

2) It is the system of equations, so both equations are simultaneous.

you can replace x to 4-y in the second one

2 *(4-y) +3y=2

8-2y+3y= 2

y=-6

x= 4-y=4-(-6)=10

The answer is x=10, y=-6


Related Questions

the total cost of the tiles is £68 plus VAT
the rate of VAT is 20%
(b) work out 20% of £52​

Answers

Answer:

a) 81-6

b) 10.4

Step-by-step explanation:

a) assuming that the VAT is 20% of the 68 pounds,

you calculate 120% of 68 (convert percentage to decimal)

= 1,20 * 68 = 81.6 pounds

or

calculate 20% of 68 pounds and add the answer to 68 pounds:

(0.2 * 68) + 68 = 81.6 pounds

b) 20% of 52

first convert the percentage to decimals:

0.2 * 52 = 10.4 pounds

I will mark you the brainiest for the correct answer, please be correct, Have a good day and take care, thanks. ( VIEW THE IMAGE TO ANSWER).

Answers

Mistake in Line 2 : Was in the determining the values for a ,b,c

Mistake in Line 4 : Not taking the square roots of both sides.

Step-by-step explanation:

[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]

First Mistake : Line 2

[tex]a = x \\ b = 6 \\ c = 10[/tex]

Second Mistake : Line 4

[tex]136 = {x}^{2} \\ not \\ 136 = x[/tex]

Correct Solution :

[tex] {x}^{2} + {6}^{2} = {10}^{2} \\ {x}^{2} = {10}^{2} - {6}^{2} \\ {x}^{2} = 100 - 36 \\ [/tex]

[tex] {x}^{2} = 64 \\ \sqrt{ {x}^{2} } = \sqrt{64} \\ x = 6[/tex]

The sum of three consecutive numbers is 117.what is the largest of the three numbers?write an equation to represent this scenario and solve for the variable

Answers

Answer:rrrrrrrr

rrrrrrrrrr

Step-by-step explanation:

rrrrrrrrrrrrrrr

The equation for the scenario is x + x+1 + x+2 = 117 and largest number is 40.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

Let x be the first number:

The other numbers are:

x+1, x+2

The sum of three consecutive numbers is 117:

x + x+1 + x+2 = 117

3x + 3 = 117

3x = 114

x = 38

x+ 1 = 38+1 = 39

x+2 = 38+2 = 40

Thus, the equation for the scenario is x + x+1 + x+2 = 117 and largest number is 40.

Learn more about the linear equation here:

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Check out this cube: 3 Find the surface area of the cube (above) using its net (below​

Answers

Answer:

54

Step-by-step explanation:

Surface area of a cube = 6a²

Where,

a = edge = 3

Surface area of a cube = 6a²

= 6 * (3)²

= 6 * (3 * 3)

= 6 * 9

= 54

Therefore,

The Surface area of the cube = 54

Need help on this!!!

Answers

Answer:

7.8391

Step-by-step explanation:

Answer:

Step-by-step explanation:

The key to solving this equation is knowing how to "undo" a natural log. Just like square roots are "undone" by squaring, and cubing "undoes" a cubed root, raising a natural log to the base of e, Euler's number, undoes a natural log. Because this is an equation you have to raise both sides of it to the base of e:

[tex]e^{ln(x+3)}=e^5[/tex]

That leaves us on the left with simply

x + 3

On the right we have a constant. e is not a variable, it is a number. You can find its value on your calculator. Solving for x:

[tex]x=e^5-3[/tex] and

[tex]e^5=148.4131591[/tex], so

x = 148.4131591 - 3 and

x = 145.4132, the first choice listed.

Use the coordinates of the labeled point to find the point-slope equation of the line.
(12, -1)

Answers

Answer:

Choice C.

[tex]y + 1 = - 2(x - 2)[/tex]

Step-by-step explanation:

When converting to

[tex]y = mx + b[/tex]

We are left with:

[tex]y = - 2x + 3[/tex]

Which fits both the x-intercept and y-intercept.

What is the range of g ( x ) = 3x − 2, if the domain is { − 1, 0, 1, 2 }?

Answers

Answer:

range{-5,4)

Step-by-step explanation:

3(-1)-2= -5

3(2)-2=4

find the measure of acute angle of a right angle triangle when one angle is 60°

Answers

Answer:

30 degrees.

Step-by-step explanation:

Let the acute angle be x.

Then as the 2 acute angles in a right triangle sum to 90 degrees,

x = 90 - 60

= 30.

Answer:30°Explanation:What we know:We know that all angles in a triangle add up to 180°We know that 1 of the 3 angles is 90°We know that 1 one of the 3 angles is 60°What to find out:What the last angle equals

We used the information we know to give us this equation.

90°+60°+x=180°

We add 90° and 60° to give 150°

150°+x=180°

x must therefore be 30°

DB is a diagonal of parallelogram ABCD

What is the measurement of Please help ASAP

Answers

Answer:

m∠DAB+m∠ADC=180

115+ 29 + m∠ADB=180

m∠ADB=180 - 115 -29

= 36°

4.Find the first five terms of the recursive sequence

Answers

Answer:

5, 12, 19, 26, 33

Step-by-step explanation:

Using the recursive rule and a₁ = 5 , then

a₂ = a₁ + 7 = 5 + 7 = 12

a₃ = a₂ + 7 = 12 + 7 = 19

a₄ = a₃ + 7 = 19 + 7 = 26

a₅ = a₄ + 7 = 26 + 7 = 33

The first 5 terms are 5, 12, 19, 26, 33

please solve this please ​

Answers

Answer:

3

Step-by-step explanation:

Here you go hope this helps

-2/3a+5/6a-1/5a-1/6

Answers

Answer:

[tex]\frac{-1}{30} a - \frac{1}{6}[/tex]

Step-by-step explanation:

Percentage change


….

Answers

Answer:

80%

Step-by-step explanation:

Change is (45-25)/25*100=(20/25)*100=80%

An airplane from Singapore to Melbourne takes about 7 1/2 hours to cover a distance of 6057 km. What is the average speed of the airplane.

Answers

Answer:  13.46 km/h

Step-by-step explanation:

7 1/2 hr= 450 min

6057/450= 13.46

Triangle ABC has vertices A(0, 2), B(5, 4), and C(5,0). Triangle A'B'C'has
corresponding vertices A'(-5, -1), B'(0, 1), and C'(0, -3). Which of the following
describes a translation that would produce triangle A'B'C' from the pre-image of
triangle ABC?
A) To the left five units, up three units.
B) To the left five units, down three units.
C) To the right five units, up three units.
D) To the right five units, down three units.

Answers

Answer:

B) To the left five units, down three units

Answer:

( B ) To the left five units, down three units.

how many metres are there in ½ of ⅕ km​

Answers

Step-by-step explanation:

1/5=1/5×1000=200

1/2 of 200

1/2×200=100

Give the order of symmetry from the fig 3
a)2
b)3
c)6
d)4

Answers

the order of symmetry is three as there are three of each repeated shape

HEELLLPPPPPP what’s the answer????????????????????????? HEELLLLLLLPPPPPPPPPPPPPP

Answers

Answer:

(-2,-2)

Step-by-step explanation:

x^2 + y^2 = 9

A circle has an equation of the form

(x-h)^2 + (y-k)^2 = r^2

where the center is at ( h,k) and the radius is r

The circle is centered at (0,0) and has a radius 3

The only point entirely within the circle must have points less than 3

(-2,-2)

What is the solution to this equation?
log_8 16 + 2log_8x =2

Answers

The awnser is I think x=2

The value of x for the given equation [tex]log_{8}[/tex](16) + 2[tex]log_{8}[/tex](x) = 2 will be 2 so option (B) must be correct.

What is a logarithm?

The exponent indicates the power to which a base number is raised to produce a given number called a logarithm.

In another word, a logarithm is a different way to denote any number.

Given the equation

[tex]log_{8}[/tex](16) + 2[tex]log_{8}[/tex](x) = 2

We know that,

xlogb = log[tex]b^{x}[/tex]

So,

2[tex]log_{8}[/tex](x) = logx²

For the same base

logA + logB = log(AB)

So,

[tex]log_{8}[/tex](16) + [tex]log_{8}[/tex](x)² = 2

[tex]log_{8}[/tex](16x²) = 2

We know that

[tex]log_{a}[/tex](b) = c ⇒ b = [tex]a^{c}[/tex]

so,

[tex]log_{8}[/tex](16x²) = 2 ⇒ 8² = 16x²

x = 2 hence x = 2 will be correct answer.

For more about logarithm

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what is the volume of a cylinder, in cubic feet, with a height of 5 feet and a base diameter of 10 feet? Round to the nearest tenths place

Answers

Answer:

Volume of cylinder

= π r² h

3.14 × 5×5×5392.5= 392.9 ft³

OAmalOHopeO

Answer:

The volume of the cylinder would be approximately 392.5 ft^3

Step-by-step explanation:

Just like the volume formulas for a cuboid, the formula for a cylinder is: Vol = (Circle Area)(Height). Since we already have the height value, let's move onto the circle area.

The formula for the area of a circle is: πr^2. The problem only gave us the value for the diameter (10), so to get the radius value, we just need to divide the diameter by 2, and we get a value of 5 ft as our radius. Next, we just need to square root it. So 5 x 5 = 25. Then, we multiply it by π. Because the problem is asking for an approximate answer, we can just assume that π is 3.14. And that gets us a value of 78.5 ft^2 for the area of the circle.

Finally, we just need to multiply the area and the height of the cylinder. So 78.5 x 5 is approx. 392.5 ft^3. Since we don't need to round to the nearest tenths place, we can just leave it alone.

Since I didn't use the exact value of π, the real answer may be a little off of what we got, but if you want to extra precise, you can go ahead and use the actual value of π.

Solve for x. round to the nearest tenth, if necessary.​

Answers

Answer:

29

Step-by-step explanation:

all in all it is 180 so 61 + m (which is 90 because it is a right angle)=151

then 180-151=29

WILL MARK BRAINLIEST

picture included^^^^

need help asap please n thank you!


^^^^

Answers

Answer:

14

Step-by-step explanation:

The a value is from the center to the maximum

We want from minimum to max so we need 2 times the amplitude

a = 7

2 *7 = 14

help asap! what does sinø=

Answers

Answer:

-3/5

Step-by-step explanation:

Pythagorean formula :

x^2 + y^2 = r^2

(-8)^2 + (-6)^2 = r^2

64 + 36 = 100

r^2 = 100

r= 10

sin is the y coordinate over the radius :

-6/10

-3/5

Solve the equation sine Ф=0.6792 for 0°≤Ф≤360

Answers

Answer:

42.78⁹, 137.22⁹.

Step-by-step explanation:

sine Ф=0.6792

Angle Ф in the first quadrant = 42.78 degrees.

The sine is also positive in the second quadrant so the second solutio is

180 - 42.78

= 137.33 degres.

1 point (1) Three times a number minus two times a number* Your answer

Answers

Answer:

Three times a number minus two times a number

3x-2x

=x

A boy borrowed his boat 531 feet out into the ocean. When he looked back he saw the house on a cliff above the beach where he set out. He estimated the angle of elevation was 26 degrees. Estimate to the nearest foot. the height of the house above the water

Answers

Answer:

259 ft.

Step-by-step explanation:

A triangle is a polygon with three sides and three angles. Types of triangles are isosceles. scalene, equilateral, acute, obtuse and right angled triangle.

A right angled triangle is a triangle in which one of the angles is 90 degrees. Trigonometric ratios show the relationship between the angles of a right angle triangle and its sides.

Let h represent the height of the house above water, hence using trigonometric ratios:

tan(26) = h / 531

h = 531 * tan(26)

h = 259 ft.

(URGENT PLEASE HELP)

The vertex of this parabola is at (5, 5). When the x-value is 6, the
y-value is -1. What is the coefficient of the squared expression in the parabola's equation?

a) 4
b) -6
c) 6
d) -4

Answers

Answer:

-6

Step-by-step explanation:

A parabola is vertex form is written as

y = a(x-h)^2 +k  where (h,k) is the vertex

Substituting in the vertex

y = a(x-5)^2 +5

We know a point on the parabola so we can find a

-1 = a( 6-5)^2 +5

-1 =a(1)^2+5

-1 = a +5

Subtract 5 from each side

-1-5 = a

-6 =a

How do I solve this math equation: 7=8-p

Answers

Answer:

p = 1

Step-by-step explanation:

7 = 8 - p

7 + p = 8

p = 8-7

p = 1

Answered by Gauthmath

The product of two algebraic expression is 4x²-9.If one of the expression is (2x+3),find the other expression​

Answers

Answer:

Solution given:

we have formula

a²+b²=(a+b)(a-b)

now

4x²-9

(2x)²-3²

using formula

(2x+3)(2x-3)

other expression is 2x-3.

Answer:

( 2x - 3 )

Step-by-step explanation:

4x² - 9 is a perfect square meaning it can be factored into 2 expressions,

( 2x + 3 ) ( 2x - 3 )

What is the answer? How to solve?

Answers

Answer:

a +73°=90°

a= 90°-73°

a =17°

d+18°=90°

d=90°-18°

d =72 °

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