How do I solve this equation
2.4c-2=0.4(1+6c)
I end up with -2= 0.4

Answer:

[tex]\displaystyle y=\frac{4}{5}x+\frac{13}{5}[/tex]

Step-by-step explanation:

The equation of the line in slope-intercept form is:

y=mx+b

Where m the slope of the line and b the y-intercept.

When two points are given, it's convenient to calculate the slope first.

Suppose we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:

[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

The points are (3,5) and (-2,1):

[tex]\displaystyle m=\frac{1-5}{-2-3}=\frac{4}{5}[/tex]

The equation is now:

[tex]\displaystyle y=\frac{4}{5}x+b[/tex]

To calculate b, we use any of the given points and solve for b. Use (3,5):

[tex]\displaystyle 5=\frac{4}{5}3+b[/tex]

Operate:

[tex]\displaystyle 5=\frac{12}{5}+b[/tex]

Solve:

[tex]\displaystyle b=5-\frac{12}{5}=\frac{13}{5}[/tex]

The required equation of the line is:

[tex]\boxed{\displaystyle y=\frac{4}{5}x+\frac{13}{5}}[/tex]

Step-by-step explanation:

Let's make the number we're finding to be [tex]a[/tex]. So, it says that it will be divided by 4 and then added by 12 if we want this in algebraic expression it will be [tex]\frac{a}{4} +12\\[/tex]. It's also telling us that that expression is the same thing as our number divided by 3 and subtracted by 5. If we want an expression out of it it well be [tex]\frac{a}{3} -5\\[/tex]. Since they are the same, we have the equation below.

[tex]\frac{a}{4} +12 = \frac{a}{3} -5\\[/tex]

All we have to do now is to find [tex]a[/tex].

[tex]\frac{a}{4} +12 = \frac{a}{3} -5 \\ \frac{a +48}{4} = \frac{a -15}{3} \\ (3)(a +48) = (a - 15)(4) \\ 3a +144 = 4a -60 \\ (60 -3a) + 3a +144 = 4a -60 +(60 -3a) \\ a = 204[/tex]

Our number must be [tex]204[/tex]. I think

Answer:

Unlikely

Step-by-step explanation:

There are more chances that tomorrow there will be no rain than the raining we can say that it is unlikely to rain tomorrow.

It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

We have:

The weather forecast calls for a 20% chance of light rain tomorrow.

Probability of rain:

P(rain) = 20% = 0.2

Complement event: Not rain tomorrow

Probability of complement event P(not rain) = 1 – 0.2 = 0.8 or 80%

P(not rain) > P(rain)

Thus, there are more chances that tomorrow there will be no rain than the raining we can say that it is unlikely to rain tomorrow.

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Answer:

so am i

Step-by-step explanation:

Answer:  7776

........................

Answer:

see explanation

Step-by-step explanation:

(28)

2x³ - 32x ← factor out 2x from each term

= 2x(x² - 16) ← difference of squares

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

(29)

3x² + 6x + 3 ← factor out 3 from each term

= 3(x² + 2x + 1) ← perfect square

= 3(x + 1)²

(30)

[tex]x^{4}[/tex] - 81 ← difference of squares

= (x² - 9)(x² + 9) ← (x² - 9) is also a difference of squares

= (x - 3)(x + 3)(x² + 9)

(31)

5[tex]x^{5}[/tex] - 15[tex]x^{4}[/tex] + 10x³ ← factor out 5x³ from each term

= 5x³(x² - 3x + 2)

= 5x³(x - 1)(x - 2)

Answer:

No, it has infinitely many solutions.

Step-by-step explanation:

Answer:

y - 8= 3(x+8) in slope intercept form is y = 3x + 32

Answer:

y= 3x-16

Step-by-step explanation:

Answer: -pi/6

Step-by-step explanation:

it's correct.

Answer

-pi/6

Step-by-step explanation:

got it on edge

Answer: 6

Step-by-step explanation: 10/5=2 2*3=6 which means Mr. Kelly received 4 and Mr. Smith received 6 dollars.

Answer:

It is Distributed property and False

Step-by-step explanation:

Answer:

x=12

Step-by-step explanation:

divide by 4 on both sides

the solution to the equation is x = 12.

To solve the equation 4x = 48,

we need to isolate the variable x.

We can do this by dividing both sides of the equation by 4.

4x / 4 = 48 / 4

When we divide 48 by 4, we get 12.

So, 4x = 48 simplifies to x = 12.

Therefore, the solution to the equation is x = 12.

This means that if we substitute 12 for x in the equation 4x, we get

4 multiplied by 12, which equals 48, satisfying the original equation.

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Answer:

20+10c

Step-by-step explanation:

-5(c)= -5c

-5(-2)=10

-5c+10=20-5c+10

Answer:

$17,160

Step-by-step explanation:

286,000·0.06=17,160

Answer:

p=(t-s)/r

Step-by-step explanation:

This is an equation so all we have to do is solve backwards step by step:

rp+s=t

rp+s-s=t-s

rp/r=(t-s)/r

p=(t-s)/r

Answer:

C

Step-by-step explanation:

Answer:

-3(x+3) + 4x

simplifies to

x-9

Step-by-step explanation:

have a good day

Answer: -9

Step-by-step explanation:

−3(x+3)+4x

Distribute:

=(−3)(x)+(−3)(3)+4x

=−3x+−9+4x

Combine Like Terms:

=−3x+−9+4x

=(−3x+4x)+(−9)

=x+−9

Answer:

=x−9

Have a good day can u give me brainliest pls.

Answer:

21.27 cm^2

Step-by-step explanation:

Pentru a calcula aria bazei, putem folosi formula lui Heron Matematic aceasta este;

A = √s (s-a) (s-b) (s-c)

Unde s = (a + b + c) / 2

a, b, c se referă la laturile triunghiului

A = (7 + 7 + 7) / 2 = 21/2 = 10,5

A = √10,5 (10,5-7) (10,5-7) (10,5-7)

A = √10,5 (3,5) (3,5) (3,5)

A = √450.1875

A = 21.2176 cm ^ 2, care este de aproximativ

21.22 cm ^ 2

Answer:

Use slope intercept form to find your y intercept and slope. Once you plot your y intercept (0,1), use your slope (3) to go up three units and to the right one unit.

Step-by-step explanation:

hope this helps *_*

Answer:

6.7082039325                         If you want to round it is 7

Step-by-step explanation:

a squared + b squared = c squared, where as 6 is a, 3 is b, and x is c.

6 squared + 3 squared is 36+9=45, so x is the square root of 45.

6.7082039325

Answer:

The 15th day

Step-by-step explanation:

Violin Lessons - 3, 6, 9, 12, 15

Singing Lessons - 5, 10, 15

Landen will have violin and singing lessons on the fifteenth day.

Hope this helped! :)

Answer:

They must pay 4% interest rate. Hope I am able to help.

Step-by-step explanation:

Answer:

6 games and 3 rides

Step-by-step explanation:

Let the number of games Brianna played be x,

and the number of rides she went on be y.

Total cost for games= 1.25x

Total cost for rides= 3.75y

Since number of games is twice the number of rides,

x= 2y -----(1)

Total costs= cost of games +cost of rides

[tex]18.75= 1.25x +3.75y[/tex]

Multiply the whole equation by 4 to remove the decimals:

[tex]75= 5x +15y[/tex]

Simplify by dividing the whole equation by 5:

[tex]15 = x + 3y[/tex]

Label the equation:

x +3y= 15 -----(2)

Although we can solve these 2 equations by substitution, since the question requires us to graphically solve, we have to graph 2 linear lines.

I will choose 3 points to plot on the graph for each equation:

x= 2y -----(1)

[tex]\begin{tabular}{|c|c|c|c|}

\cline{1-4}x & 2(1) = 2&2(2) = 4&2(3) = 6\\

\cline{1-4}y & 1 &2&3\\

\cline{1-4}

\end{tabular}[/tex]

x +3y= 15 -----(2)

x= -3y +15

[tex]\begin{tabular}{|c|c|c|c|}

\cline{1-4}x & -3(1)+15= 12& -3(2)+15= 9& -3(3)+15= 6\\

\cline{1-4}y & 1 &2&3\\

\cline{1-4}

\end{tabular}[/tex]

Let's plot these points on a graph paper. Then, join them with a straight line for each straight line graph. Please see the attached picture for the graph.

From (1): y= ½x

From (2): 3y= 15 -x

y= 5 -⅓x

From the graph, the solution of the equation is (6,3). The solution is the point on the graph in which the 2 lines intersect.

x- coordinate: 6

y- coordinate: 3

Thus, Brianna played 6 games and went on 3 rides.

Answer:

6 games=$7.5  3 rides=$11.25

1.25*6=7.5

3.75*3=11.25

7.5+11.25=18.75

Answer:

Hey there! I hope this helps you. If you have any questions or concerns feel free to leave them in the comments so I can answer. Thank you!

A rhombus would be a flat shape that has 4 equal straight sides. People also refer to it as a parallelogram.

-All sides are equal

-Opposite sides parallel

~I hope I helped you! :)~

Answer: 0.66 or 66%? (34% decrease)

Step-by-step explanation: 21+13=34 and 100-34 is 66