What is the solution to the equation?

13 3/4 + x = 7 1/4

A. X = 6 1/4

B. X = 6 1/2

C. X = 20

D. X = 21

(Edg. 2020)

The value of x=2 and y=1.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

3x+2y=8

5x+2y=12

Now, solving both using method of Elimination Method

3x - 5x = 8-12

-2x= -4

x = -4/ -2

x= 2

and, 3x+ 2y = 8

3(2) + 2y = 8

6  + 2y = 8

2y = 8-6

2y = 2

y = 2/2

y= 1

Hence, the value of x=2 and y=1.

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Answer:

r-m=h

Step-by-step explanation:

Answer:

$16.10

Step-by-step explanation

14.00x .15=2.10

14.00+2.10=16.10

Given:

A figure.

To find:

The values of x and y.

Solution:

We know that, in a right angled triangle,

[tex]\sin \theta =\dfrac{Perpendicular}{Hypotenuse}[/tex]

[tex]\sin 60^\circ =\dfrac{x}{16}[/tex]

[tex]\dfrac{\sqrt{3}}{2} =\dfrac{x}{16}[/tex]

Multiply both sides by 16.

[tex]\dfrac{\sqrt{3}}{2}\times 16=\dfrac{x}{16}\times 16[/tex]

[tex]8\sqrt{3}=x[/tex]

And,

[tex]\cos \theta =\dfrac{Base}{Hypotenuse}[/tex]

[tex]\cos 60^\circ =\dfrac{y}{16}[/tex]

[tex]\dfrac{1}{2}=\dfrac{y}{16}[/tex]

Multiply both sides by 16.

[tex]\dfrac{16}{2}=y[/tex]

[tex]8=y[/tex]

Therefore, the missing side lengths are [tex]x=8\sqrt{3}[/tex] and [tex]y=8[/tex].

Answer:

33/40

Step-by-step explanation:

cross multiply

5 x 5 = 25

8 x 1 = 8

25 + 8 = 33 (our numerator)

8 x 5 = 40 (our least common denominator)

Answer:

(-4,-8)

Step-by-step explanation:

The solution to the system of equations is,

⇒ (- 4, - 8)

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

The expressions are,

⇒ y = 1/2x - 6

⇒ x = - 4

Now, We can simplify the expression for y as;

⇒ y = 1/2x - 6

Put x = - 4;

⇒ y = 1/2 × - 4 - 6

⇒y = - 2 - 6

⇒ y = - 8

Thus, The solution to the system of equations is,

⇒ (- 4, - 8)

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Answer:

what does it mean by equation

Answer:

she earns $10 per hour, and can earn $1 in 6 minutes (60 min divided by $10)

Step-by-step explanation:

Answer:

x=10

Step-by-step explanation:

x=(3x-28)5

-14x=-140

x=10

Answer:

[tex]k = -\frac{1}{5}[/tex] -- Constant

[tex]y = -\frac{x}{5}[/tex] -- Equation

Step-by-step explanation:

Given

[tex]\{(-15, 3), (-5, 1), (0, 0), (10, -2)\}[/tex]

Solving (a): The constant of variation

The given parameter is of the form (x,y) and the variation constant is calculated using:

[tex]k = \frac{y}{x}[/tex]

For:(-15,3), k is calculated as

[tex]k = \frac{y}{x}[/tex]

[tex]k = \frac{3}{-15}[/tex]

[tex]k = -\frac{1}{5}[/tex]

For (-5,1)

[tex]k = \frac{y}{x}[/tex]

[tex]k = \frac{1}{-5}[/tex]

[tex]k = -\frac{1}{5}[/tex]

The equation is calculated using the following rule:

[tex]y = kx[/tex]

Substitute [tex]-\frac{1}{5}[/tex] for k

[tex]y = -\frac{1}{5} * x[/tex]

[tex]y = -\frac{x}{5}[/tex]

Answer:

$355

Step-by-step explanation:

85+60+35=180

5% of 3,500 is 175

175+180=355

so if i did the math right that means the answer is $355

Hopefully the right answer

Answer:

C is the answer

Step-by-step explanation:

the third one is the correct one

Answer:

25 - 3x = 40            ​x=-5

1/3x - 12 = -3           x=27

Step-by-step explanation:

25-3x=40 -> subtract 25 each side .... -3x=15 -> divide -3 each side...... x= -5

Answer:

The answer is 12 hours.

Step-by-step explanation:

If she completes 1/4 of a page in an hour completing one page will take her 4 hours after that you multiply it by 3 and get the total of 12 hours that is takes for her to do her homework

Answer:

the answer is 12 :)))))

Answer:

HELP ME I GOT THE SAME QUESTION AND I'M DUMB :(

Step-by-step explanation:

Answer:

There are many solutions.

Step-by-step explanation:

A 20% discount on $50 takes us to $40.  A 25% discount on the $40 takes us to 30%.

We can also do a 4% discount to bring us to $48, followed by a 62.5% discount, to get to $30.

9514 1404 393

Answer:

  31

Step-by-step explanation:

If we assume the number of potatoes is proportional to the weight, then we can write the equation ...

  n/10 = 10/3.2

  n = 100/3.2 = 31.25 . . . . . . . multiply by 10

There may be 31 potatoes in a 10-lb bag.

Answer:

there are 3 girls and 4 boys in the family. The girl has 3 sisters and 3 brothers.

Step-by-step explanation:

If there are 4 girls and 3 boys than the girl has 3 sisters and 3 brothers.

the boy has 4 sisters and 2 brothers. 2 is half of 4.

Step-by-step explanation:

[tex]{:}\hookrightarrow\sf \dfrac {1}{4}\div \dfrac {9}{10}[/tex]

[tex]{:}\hookrightarrow\sf \dfrac {1}{4}\times \dfrac {10}{9}[/tex]

[tex]{:}\hookrightarrow\sf \dfrac {10}{36}[/tex]

[tex]{:}\hookrightarrow\sf \dfrac {5}{18}[/tex]

Answer:

-|x+2|+2

Step-by-step explanation:

Answer: (-5,1)

Step-by-step explanation: Explanation in picture.

Answer: 5 hours

Step-by-step explanation: because 50 multiply by 5 is 250 and more 75 for radiator

Answer:

minus 14 less than minus 8 because minus 14 is located to the left of minus 8 on the number line.

Step-by-step explanation: Hope this is right! and I hope it helps you UwU

Answer:

y=−2x−15

Step-by-step explanation:

Answer:

2month and 2 weeks

Step-by-step explanation:

We are told that the first plan has a $50 sign-up

fee and costs $20 per month.

let the number of months be x, and the total cost be y

y=20x+50---------1

The second plan has a $30 sign-up fee and costs $25 per

let the number of months be x, and the total cost be y

y=30x+25---------2

Equate the two equations we have

20x+50=30x+25

solve for x, collect like terms

50-25=30x-20x

25=10x

divide both sides by 10

x= 25/10

x=2.5 months

x= 2month and 2 weeks