5(x - 3) = 7x - 2(x + 1)

Answer:

- 2xy = 6

Step-by-step explanation:

x = - 11 - 4y → (1)

2x - 3y = 11 → (2)

Substitute x = - 11 - 4y into (2)

2(- 11 - 4y) - 3y = 11 ← distribute parenthesis and simplify left side

- 22 - 8y - 3y = 11

- 22 - 11y = 11 ( add 22 to both sides )

- 11y = 33 ( divide both sides by - 11 )

y = - 3

Substitute y = - 3 into (1)

x = - 11 - 4(- 3) = - 11 + 12 = 1

solution is (1, - 3 )

Then

- 2xy = - 2 × 1 × - 3 = 6

Using translation concepts, the vertices will be given as follows:

A'(-1,-3), B'(-5,-4), C'(-3,-2).

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

The rule for a 90º counterclockwise rotation about the origin is:

(x,y) -> (-y,x).

Hence:

The rule for a reflection across the x-axis is:

(x,y) -> (x,-y).

Hence:

The vertices are:

A'(-1,-3), B'(-5,-4), C'(-3,-2).

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Answer:

4 -9/20

Step-by-step explanation:

separate whole numbers and fractions: 9-5, 3/10 - 3/4

then you subtract the whole numbers: 4

after that (what i mostly use that is easy for me is cross multiplication/ Butterfly method)

12    -     30

3      -      3    =   -18  = -9

10            4         40     20

Explanation:

Inequalities are solved just like regular equations. The difference is that you need to take care to reverse the direction when multiplying or dividing negative numbers.

The simplest way to solve an inequality is to first solve it as an equality, and then CHECK the value to find out which way the sign should point.

x

3

<

6

; multiply both sides by 3;

x

<

18

As an equality:

x

3

=

6

;

x

=

18

CHECK one value higher (19): ;

19

3

<

6

;

6.333

<

6

NOT TRUE! So, the value of x must be LESS than 18, as found originally.

x

<

18

Answer:

x<9

Step-by-step explanation:

Answer:

plz show the figure clearly

Answer:

ahhhh early again ty

Step-by-step explanation:

Answer:

Thank you so much! :)

Step-by-step explanation:

Answer:

23

Step-by-step explanation:

12-(9-2)+3*6

12-(7)+3*6

12-7+18

5+18

23

Answer:

less than 55 minutes

Step-by-step explanation:

11 laps at 5 minutes per lap is 55 minutes.

Since she will run fewer than 11 laps, she will run less than 55 minutes.

Answer:

Step-by-step explanation:

Answer:

-13 -19

Step-by-step explanation:

5, -6 =-1 so if yiu continue you get the anwers

Hello!

-----------------------------------------------------------------------------------------------------------------

15% = 15/100

The fraction can be reduced:

3/20

Hope it helps you!

~SparklingFlower :)

-----------------------------------------------------------------------------------------------------------------

Answer:

[tex]\frac{3}{20}[/tex]

Step-by-step explanation:

15%

= [tex]\frac{15}{100}[/tex] ( divide numerator/ denominator by 5 )

= [tex]\frac{3}{20}[/tex]

Answer: 25.89

Step-by-step explanation: first I do 796.65÷47 which gives us 16.95 and then I do 402.30÷45 which gives us 8.94 and then I add 8.94 and 16.95 together which is 25.89

Answer:

The next  4 terms are -2.4, -8, - 13.6, 19.2.

Step-by-step explanation:

u1 = u0 - 5.6

= 3.2 - 5.6

= -2.4.

u2 = u1 - 5.6

= -2.4 - 5.6

= -8.

Answer:

28

Step-by-step explanation:

Prime factorization of 84 is 2^{2} × 3 × 7.

Prime factorization of 56 is 2^{3} × 7.

GCF = 2 × 2 × 7

       = 28

I hope it helps.

Answer:

The answer is A.

Step-by-step explanation:

X = 0

Therefore the answer is F(0)

Answer:

50p

Step-by-step explanation:

pls mark brainliest! have a lovely day

The cost of one lolly is 0.5.

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. We have LHS = RHS (left hand side = right hand side) in every mathematical equation. To determine the value of an unknown variable that represents an unknown quantity, equations can be solved. A statement is not an equation if it has no "equal to" sign.

Given:

Kate buys 2 lollies and 5 chocices for £6.50

Pete buys 2 lollies and 3 chocices for £4.30

let the price for lollies be 'x' and price for chocices be 'y'

So,

2x + 5y = 6.50

2x + 3y = 4.30

Now, solving the above equation

2y = 2.2

y= 1.1

and, x= 1/2 = 0.5

Hence,  cost of one lolly is 0.5.

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Answer:

the probability of drawing a green marble is 4/25 (16% or 0.16)

Step-by-step explanation:

Total: 16+8+9+12+5= 50

# of green marbles: 8

Event G, such that a green marble is drawn:

P(G)= 8/50

= 4/25 (16% or 0.16)

Answer:

Y = -1/2 x

Step-by-step explanation:

To write the equation in slope intercept form

Y = mx + c

C is y-intercept

the graph is passing through centre. That means y-intercept is zero.

so C=0

To find m which is slope,

[tex] \frac{rise}{run} [/tex]

rise = 10

run= -20

[tex] \frac{10}{ - 20} \\ \frac{ - 1}{2} [/tex]

So

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

Answer:

-2

Step-by-step explanation:

From the graph, it appears that (0, 2) and (2, -2) are points on the line.  (Othere points will work, as well; you just need two points.)

Slope = (difference between the y coordinates) / (difference between the x coordinates)

One phrase to remember this is slope = "rise over run"  (vertical change divided by horizontal change from point to point).

Slope = (-2 - 2) / (2 - 0) = -4 / 2 = -2

The slope is -2.

Answer: You didn’t give full explanations to the option bars, so I can’t really help. sorry

Step-by-step explanation:

Answer:

Step-by-step explanation:

okay so the equation is 3x - 12 = 78

add 12 on both sides

3x = 90

divide both sides by 3

x = 30

Answer:

The missing value (x) is 12.

Step-by-step explanation:

Given that there are two values already known, 78° and 78°, we can add them and get 156°.

Since a triangle has a total degree of 180°, we can do this:

180°-156° = 24°

So, now we have the missing angle and its equal to 24°.

what you now do is set 24°= 3x-12 to solve for x.

24°=3x-12

36=3x

/3

12=x

Answer:

P(3) = 0.2

Step-by-step explanation:

P(4) = 0.1

P(1) = 0.5

this leaves 1.0 - 0.6, or 0.4, to be split between the numbers 2 and 3

Answer:

-7x²-13x+2

Step-by-step explanation:

-7x²-14x+1x+2

Step-by-step explanation:

67 + x = 90

x = 90 - 67

x = 23°

Option → A

__________

[tex] \: [/tex]

67° + x = 90°

x = 90° - 67°

x = 23° (A.)

1inch=12miles

31/2 inches=(31/2x12) miles

=(7/2x12) miles

=(7x6) miles

=42miles.

Answer:

x = -7/2

Step-by-step explanation:

-2(5x - 3) = 41

Distribute the -2 inside the parenthesis.

-10x + 6 = 41

Subtract 6 from both sides.

-10x = 35

Divide both sides by -10.

x = 35/-10

Simplify the fraction.

x = -7/2.

Proof:

-2(5x - 3) = 41

Substitute variable.

-2(5(-7/2) - 3) = 41

Multiply 5 and -7/2.

-2(-35/2 - 3) = 41

Turn 3 into a fraction with denominator 2.

-2(-35/2 - 6/2) = 41

Subtract 6/2 from -35/2.

-2(-41/2) = 41

Multiply -2 and -41/2.

41 = 41.

Answer:

102 tickets

Step-by-step explanation:

x=student

y=adult

x=4y

510=x+y

510=4y+y

510=5y

102=y

There are 102 adult tickets were sold.

What is an expression?

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

Given that;

A total of 510 tickets were sold for the school play.

And, The number of student tickets sold was four times the number of adult tickets.

Now,

Let number of adult tickets = x

So, The number of student tickets = 4x

Here, A total of 510 tickets were sold for the school play.

So, We can formulate;

⇒ x + 4x = 510

Solve for x as;

⇒ 5x = 510

⇒ x = 102

Thus, There are 102 adult tickets were sold.

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