Juan exercises more than 30 minutes per day.
Use t to represent Juan's amount of exercise (in minutes per day).

[tex]\tt\frac { 2 - 2 x } { 4 } = \frac { 4 x + 12 } { 3 }[/tex]

[tex]\tt3\left(2-2x\right)=4\left(4x+12\right) [/tex]

[tex]\tt6-6x=16x+48 [/tex]

[tex]\tt6-6x-16x=48 [/tex]

[tex]\tt6-22x=48 [/tex]

[tex]\tt-22x=42 [/tex]

[tex]\tt\:x=\frac{42}{-22} [/tex]

[tex]\boxed{\tt\:x = -\frac{21}{11} = -1\frac{10}{11} \approx -1.90}[/tex]

Method used :-

◇ ✖ Cross multiplication ❌

________

Hope it helps ⚜

Step-by-step explanation:

Given equation is [{(2-2x)/4} = {(4x+12)/3]

On applying cross multiplication then

Since, (a/b) = (c/d)

⇛ab = bc

Where, a = (2-2x), b = (4), c = (4x+12) and d = (3).

Now,

⇛3(2-2x) = 4(4x+12)

Multiply the number outside the bracket with numbers and variables in the bracket.

⇛6 - 6x = 16x + 48

Shift the variable value on LHS and constant on RHS.

⇛-6x - 16x = 48-6

Subtract the values on LHS and RHS.

⇛-22x = 42

Shift the value (-22) from LHS to RHS.

⇛x = 42/-22

Write the obtained answer in lowest form by cancelling method.

⇛x = (42÷2)/(-22÷2)

Therefore, x = 21/-11 = -(21/11)

Answer: Hence the value of x for the given problem is -21/11.

VERIFICATION:

If x = -21/11 then the equation is

[{(2-2x)/4} = {(4x+12)/3]

Substitute the value x = -21/11 in expression, then

⇛[{2-2(-21/11)}/4 = {4(-21/11)+12}/3]

Multiply (-2) from (-21) to get 42 on LHS.

⇛[{2(42/11)}/4 = {4(-21/11)+12}/3]

Again multiply 4 from (-21) to get 81 on RHS.

⇛[{2(42/11)}/4 = {(-81/11) + 12}/3]

Take the LCM of the denominator 1 and 11 is 11 on LHS

⇛[{(2*11 + 42*1)/11}/4 = {(-81*1 + 12*11)/11}/3]

Multiply the numerator on both LHS and RHS.

⇛[{(22+42)/11}/4 = {(-81 + 132)/11}/3]

Add the numerator numbers on both LHS and RHS

⇛[{(64/11)}/4 = [{(48/11)}/3]

Now, conver the division fraction in multiply fraction on both LHS and RHS.

⇛[{(64/11) * 4} = {(48/11) * 3}]

Now, write the numbers in Lower form by cancelling method, on both LHS and RHS.

⇛(16/11) = (16/11)

LHS = RHS

Please let me know if you have any other questions.

_1,0,1 are possible value of n

Step-by-step explanation:

An ordered pair is the x-coordinate and the y-coordinate of a point. The order is important because, without a set order, there would be no way to know which was the x and which was the y.

The x-coordinate always comes first, before the y-coordinate.

(x, y)

Step-by-step explanation:

The order in an ordered pair is important because it indicates the location of the given point in a coordinate plane.  

In an ordered pair, (x, y):

We cannot switch the values of the first and second coordinates; otherwise, the ordered pair will provide a different location on the coordinate plane.

For instance, if we're given the point, (3, 2), this means that x = 3, and y = 2. This is not the same as (2, 3), as the coordinates imply that x = 2, and y = 3.  

Please see the attached screenshot where it shows how these two points have varying locations.  

Answer:

850 people

Step-by-step explanation:

10,200 people in 12 rows

÷ 12 on both sides:

[tex]\frac{10200}{12}[/tex] people in [tex]\frac{12}{12}[/tex] rows

[tex]850[/tex] people in [tex]1[/tex] row.

Step-by-step explanation:

The equation has infinite solution p=2 that's tour variable

Step-by-step explanation:

a+b^2 =a^2+b^2+2ab

-2ab and+2ab cut

The scenario could be modeled as a linear equation to produce the mathematical model written as : y = 10x + 7

Number of cards from previous card = 7

Number of cards per cardstock purchased = 10

Let :

Number of cardstocks purchased = x

Total Number cards made = y

The total number of cards made, y can be expressed thus :

(Number of cards per cardstock purchased × number of cardstocks purchased) + number of previous cards

This means :

y = 10x + 7

Therefore, the required equation is y = 10x + 7

Answer:

919,800

Step-by-step explanation:

To round up, the tens place would have to be either 5 or higher. Since the number in the tens place is 2, which is under 5, it will stay the same.

[tex]2v - 3u\\\\=2<3,7> - 3<-5,4>\\\\=<6,14>-<-15,12>\\\\=<6+15, 14-12>\\\\=<21,2>[/tex]

Answer:

Step-by-step explanation:

Answer:

O - point

CD- chord

AB- diametre

I dont know PO sorry

Answer:

O is the center.

AB is the diameter.

OP is a radius.

CD is a tangent.

By the way the combination of letters is the two points that it relates too.

Step-by-step explanation:

hope this helps. . .<3

Answer:

7

Step-by-step explanation:

15-8 is 7

16-8 is 7

17-10 is 7

18-11 is 7

this fits the eqation.

hope this helps you

Answer:

So she has $50–$43.85 = $6.15 in her pocket and $25 in her savings account

Step-by-step explanation:

Answer:

See answer below

Step-by-step explanation:

y + 2 = 2/3(x - 4)

y + 2 = 2/3x - 8/3

y = 2/3x - 8/3 - 2

y = 2/3x - 2 2/3 - 2

y = 2/3x - 4 2/3  or y = 2/3x - 14/3  

Slope = 2/3  

The value of the slope of the line is 2/3.

Used the concept of the equation that states,

The equation of a line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Given that;

The equation of the line,

y + 2 = 2/3 (x - 4)

Now comparing the given equation of the line with the equation of a line in point-slope form,

y + 2 = 2/3 (x - 4)

y - (- 2) = 2/3 (x - 4)

Therefore, the slope of the line is 2/3

To learn more about the equation of line visit:

https://brainly.com/question/18831322

#SPJ3

Answer:

sry I just wanted the points I'm in middle school so I don't know this stuff either but can you give free brainlyest I'm soo close to my next rank I'd really appreciate it if you would

Step-by-step explanation:

check the attached file

Answer:

volume=300m3

length=5m

width=300cm=300/100=3m

To find: height of tank .

so,

volume=l×b×h

300=5×3×h

300/15=h

finally,h=20m

Answer:

y = -8x + 2

Step-by-step explanation:

A slope-intercept form equation is y = mx + b where m is the slope and b is the y-intercept. Using this, we can plug in -8 and 2 to create our equation.

Have a nice day!

  I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

The equation of f(x) from the graph if, G(x) = x², is F(x) = 2x² + 3, so option A is correct.

A graph is a structure made up of a collection of things, where some object pairs are conceptually "connected." The items are represented by mathematical abstractions known as vertices, and each pair of connected vertices is referred to as an edge.

here, we have,

Given:

G(x) = x²,

As you can see from the graph, the vertex of the parabola is (0, 3),

Write the equation of a parabola as shown below,

y = a(x - 0)² + 3

y = ax² + 3

Here a is the slope of the parabola,

slope = 4 / 2  (from the graph),

slope = 2

Thus, the equation will be,

y = 2x² + 3 or  F(x) = 2x² + 3

To know more about Graph:

brainly.com/question/10712002

#SPJ7

Answer:

8

Step-by-step explanation:

Answer:

24,748

Step-by-step explanation:

538

x 46

3228

21520

24748

Answer:

17

Step-by-step explanation:

(3z - 1) when z = 6

Let's plug in 6 into the equation (3(6)-1)

Now we multiply the parenthesis (18-1)

Now we subtract (17)

So the answer is 17!

ok so

y= 4/3x2

Y varies inversely with square of x means

y = k (1/x²) where k is the constant

plug in y =1/3 and x = - 2 in the above equation.

1/3=k (1/{-2}²)

1/3=k (1/4)

multiply with 4 to both sides.

4/3 =k

therefore,

y=4/3 (1/x²) = 4/3x²

Answer: C is the answer

Answer:

The second answer: {(-1, 4),(2, 7),(3,7)} because every x value has one y value

Answer:

23.04 i think pls mark brainliest

Step-by-step explanation:

Answer:

pulmonary function is the blood or gas flow from or to the lungs

Step-by-step explanation:

the lungs take in oxygen and take out c02

The lungs' main role is to bring in air from the atmosphere and pass oxygen into the bloodstream. From there, it circulates to the rest of the body. Help is required from structures outside of the lungs in order to breathe properly.

Answer:

[tex]z = \frac{2}{7} [/tex] when x= [tex] \frac{6}{7} [/tex],

z= 179.2 when y= [tex] \frac{5}{28} [/tex]

Step-by-step explanation:

Let's start by writing out the two general equations for z.

Since z varies directly with x,

z= kx, where k is a constant.

Since z varies inversely with y,

[tex]z = \frac{k}{y} [/tex], where k is a constant.

When x= 12, z= 4,

4= k(12)

12k= 4

k= 4 ÷12

k= ⅓

∴ z= ⅓x

When x=[tex] \frac{6}{7} [/tex],

[tex]z = \frac{1}{3} ( \frac{6}{7} )[/tex]

[tex]z = \frac{2}{7} [/tex]

When y= 8, z= 4,

[tex]4 = \frac{k}{8} [/tex]

k= 4(8)

k= 32

[tex]∴z = \frac{32}{y} [/tex]

When y= [tex] \frac{5}{28} [/tex],

[tex]z = 32 \div \frac{5}{28} [/tex]

[tex]z = 32 \times \frac{28}{5} [/tex]

z= 179.2

[tex]Hiya![/tex]

Sokka is here to help!!

Here's a explanation!

[tex]-8-(-6)[/tex]

[tex]=-8-(-6)[/tex]

[tex]=-8+6[/tex]

[tex]=-2[/tex]

The answer is B.

Here's a graph photo!

Hopefully, this helps you!!

[tex]Sokka[/tex]

Answer:

rational

Step-by-step explanation: