Consider the following system of equations.

1. 75x + 1. 25y = 2. 75

7x + 5y = 9


What is the solution to the system?


Since 11 ≠ 9, there is no solution.


Since 0 = 0, there are infinitely many solutions.


There is one solution, x = 0 and y = 0.


There are two solutions (11, 0) and (0, 9)

Answer:

y=7/2 x − 13/4

Step-by-step explanation:

Answer:

y=(14x-13)÷4

Step-by-step explanation:

1. Subtract 14x from both sides

2. DIvide by -4

Answer: -110

Step-by-step explanation:

Answer:

when DAE is at 16° and EDC is at 64° then ABC is at 45° and BCD is at 55°.

A rectangle with proportions close to the Golden Ratio of approximately 1:1.618 is believed to be aesthetically pleasing.

A rectangle with sides that are in the golden ratio, or roughly 1:1.618, is referred to as a golden rectangle. This ratio has been employed in art, architecture, and design for ages since it is seen to be aesthetically beautiful.

To build a golden rectangle, start with a square and then add a smaller square to one of its sides to form a rectangle. The smaller rectangle is then used to repeat this procedure until you obtain a rectangle whose sides are in the golden ratio.

The layout of credit cards is one instance of a situation in real life that makes use of a golden rectangle. Golden rectangles are a popular shape for credit cards because of their attractive proportions and visual balance. A golden rectangle may also be used in credit card designs to help the card stand out from other cards and be simpler to recognize. The dimensions of several paintings, sculptures, and structures are more instances of how golden rectangles are used in the design.

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Answer:

The given shape is Trapezium

Area of Trapezium= 1/2h(L1+L2)

=1/2×7×(11+3

=1/2×7×14

=49

Your answer is 49

If y = 11, then:

 ⇒ [tex]36 - 3y = 36 - 3(11) = 36 - 33 = 3[/tex]

For the order of operation, use PEMDAS, attached the image below

Hope that helps!

There were 16 total players at the baseball game of which 12 of the players chose a bottle of water.

An equation is an expression that shows the relationship between two or more numbers and variables.

Let p represent the total number of players, 2 of the players chose a bottle of water which accounted for 3/4 of the total players, hence:

(3/4)p = 12

p = 16

There were 16 total players at the baseball game.

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Answer:

Step-by-step explanation:

Kiran can know for sure that it is incorrect by substituting x with 1/4

Solving for the equation gives 4(1/4 + 3) = 7
distributing gives 1 + 3 = 7
obviously this is incorrect

b)
Andre's error is that he didnt distribute 7
Distributing 7 results in
4x + 12 = 7
then subtracting 12 from both sides
4x = -5
x = -5/4

Answer:

x=-1.25

Step-by-step explanation:

well he was wrong about the 4x = 1.

4(x+3)=7

4x+12=7    1. - 12 on both sides

4x=-5   2. 4 on both sides

x=-1.25

The solution to the given system of equations is the point (1, 5).

Here we have the system of equations:

g(x) = 3x + 2

f(x) = |x - 4| + 2

To solve this, first you can see where the graphs intercept on the graph (the intercept point is the solution to the system)

But we can also solve it analytically. To do it, we have:

g(x) = f(x)

3x + 2 =  |x - 4| + 2

3x =  |x - 4|

Notice that the only solution of the above equation is x = 1, so we know that it is the x-value of the solution.

To get the y-value, we just evaluate one of the two given functions on x = 1.

f(1) = |1 - 4| + 2= 3 + 2 = 5

Then the solution to the system is the point (1, 5).

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Answer:

B

Step-by-step explanation:

Exponent: 15/3 = 5

Coefficient: [tex]\sqrt[3]{200} =2\sqrt[3]{25}[/tex]

Hope this helps!

Answer:

6

Step-by-step explanation:

if you plug in and add it all up you get 6

[tex] \mathcal{SOLUTION: }[/tex]

Therefore, the value of 6! is 720.

━┈─────────────────────┈━

[tex] \mathcal{SOLUTION: }[/tex]

Therefore, the value of the given expression is 12.

━┈─────────────────────┈━

ฅ^•ﻌ•^ฅ

_______________∞_______________

product of two perpendicular line slopes must equals - 1 ;

As you know the coefficient of x is the slope of the line

Thus if we suppose that line has a slope of m , we have :

m × 2 = - 1

m = - 1 / 2

__________________________________

y = ax + b

y = - 1 / 2 x + b

The line passes through the point ( - 2 , - 2 ) thus :

- 2 = - 1 /2 × ( - 2 ) + b

- 2 = 1 + b

b = - 3

__________________________________

y = - 1/2 x - 3

Which mean the option c is the correct answer.

Answer:

y = -1/2(x) - 4

Step-by-step explanation:

[tex]y=-\frac{1}{2}(x)-4[/tex]

Answer:

exponential equation

thia is the form of quadratic equation

Answer:

A history

Step-by-step explanation:

B) 153 yd²

hope this helps :)

Answer:

-5(y+7)

Step-by-step explanation:

Well, the numbers you can divide 5 with are 1 and 5.

35 divides both with 1 and 5 too, but since 5 is the greatest, you choose 5.

so,

you divide both with -5, since both are negative.

-5y/-5 = y

-35/-5 = 7

so,

-5(y+7)

check:

-5*y = -5y

-5*7 = -35

so,

-5y-35, that's true.

Answer:

GCF = 5

Step-by-step explanation:

for the values 5, 35

Solution by Factorization:

The factors of 5 are: 1, 5

The factors of 35 are: 1, 5, 7, 35

Then the greatest common factor is 5.

Answer:

the first one would actually negative because to the left is negative and to the right is positive. and you got the y wrong, that is actually a 2 because you dont include the line you count from, making it (-3,2).

the second one would be perfectly correct.

the third one is actually (-2,-2) and i have no idea how you got that answer, how you would count it 0, its to the left -2 and down -2.

the fourth one, would be actually (-6,-1), remember, a point goes (x,y)

Answer:

Step-by-step explanation:

let x be the number we are looking for

Mathematically the statement “4 less than four times a number”

means 4x - 4

Mathematically the statement “three times the same number plus 1” 

means 3x + 1

Statement 1 is equal to statement 2

means 4x - 4 = 3x + 1

We got an equation and we need to solve it :

4x - 4 = 3x + 1

⇔ 4x - 3x = 1 + 4

⇔ x = 5

The number of tiles (y) at any x stage is given by the equation y = 2x - 1

An equation is an expression that shows the relationship between two or more variables and numbers.

From the table, the number of tiles increases by 2 for every additional stage. Let y represent the number of tiles and x represent the stage, hence:

y = 1 + (x - 1)2

y = 2x - 1

The number of tiles (y) at any x stage is given by the equation y = 2x - 1

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Answer:

2 to 6, 2/6, or 2:6

Step-by-step explanation:

a ratio is a comparison of two values expressed as a quotient

Answer:

$8.75

Step-by-step explanation:

12 + 28.50 = 40.50

40.50 - 31.75 = 8.75

Answer:

$5.75

Step-by-step explanation:

40.50 - 31.75 = 5.75

Answer:

A: y=-2x-2

B: y=-2x+2

Step-by-step explanation:

Area of top rectangle

Area of horizontal rectangle (Left):-

Area of right rectangle:-

Area of triangle:-

Total:-

Answer:

45.7% or if rounded, 46%

Step-by-step explanation:

1st, you add up the total of people in the House of Representatives.

238+201=439

Then divide the number of Democrats 201 by the total number 439 to get .457  which is 45.7% or if you need to round 46%

To double check, multiply the total number 439 X 45.7% to get 200.6

Answer:

Step-by-step explanation:

Hypotenuse: This the longest side of right angle triangle and it is opposite to 90°

[tex]1) Sin \ P = \dfrac{Oppossite \ side \ of \ \angle P}{hypotenuse}\\\\ =\dfrac{4\sqrt{10}}{14}[/tex]

[tex]Cos \ P =\dfrac{adjacent \ side \ of \angle P}{hypotenuse}\\=\dfrac{6}{14}[/tex]

[tex]7)\sf Cos \ X = \dfrac{adjacent \ side \ of \angle X}{hypotenuse}\\\\Cos \ X =\dfrac{8}{18}\\\\Cos \ X = 0.4\\\\X = Cos^{-1} \ 0.4[/tex]

X = 66°

8) Here, opposite side is given and we have to find hypotenuse. So, use Sin.

[tex]Sin \ 65 =\dfrac{10}{x}\\\\0.9 *x = 10\\\\x =\dfrac{10}{0.9}[/tex]

x = 11.1

10) Here, opposite side is given and we have to find hypotenuse. So, use Sin to find x

[tex]Sin \ X =\dfrac{6}{9}\\\\Sin \ X = 0.67\\\\x= Sin^{-1} \ 0.97[/tex]

x = 42°

Answer:

8(5+8)

Step-by-step explanation:

The GCF of 40 and 64 is 8. Then you divide 40 and 64 by 8.

Answer:

13

Step-by-step explanation:

693/11 = 63 miles per hour

819/63 = 13

Answer:

72% aprox

Step-by-step explanation:

3.35-0.93=2.42

2.42/3.35   times 100   =   72% aprox

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