solving linear equations with one variable​

Answer:

Step-by-step explanation:Le quedo +10$

Ya que

-65 y le regalaron +10

The solution to each of the equations are matched together as:

1. 4 = 6/a*x + 5 → x = -a/6

2. 7 + 2ax = 13 → x = 3/a

3. -ax - 20 = -14 → x = -6/a

To solve an equation, apply the properties of equality in order to isolate the variable solved for to one side of the equation, which gives us the solution to the problem.

1. 4 = 6/a*x + 5

4 = 6x/a + 5

Combine like terms

-6x/a = -4 + 5

-6x/a = 1

-6x/a(a) = 1(a) [multiplication property of equality]

-6x = a

-6x/-6 = a/-6 [division property of equality]

x = -a/6

2. 7 + 2ax = 13

2ax = 13 - 7

2ax = 6

Divide both sides of the equation by 2a

x = 6/2a

x = 3/a

3. -ax - 20 = -14

-ax = -14 + 20

-ax = 6

x = 6/-a

x = -6/a

Therefore, the solutions are:

1. x = -a/6

2. x = 3/a

3. x = -6/a

Learn more about equations on:

https://brainly.com/question/25678139

#SPJ1

Answer:

Required

1. What is the break-even point in tickets?

2. How many tickets must be sold to earn a profit of $30,000?

3. How many tickets must be sold to earn a profit of $100,000?

Step-by-step explanation:

If you're looking for x, then:

2 = |x|-1

lxl-1 = 2

lxl-1+1=2+1

lxl=3

so x = -3, x=3

The probability of the event P(Yellow) is 37% , the correct option is (c) .

In the question ,

it is given that

number of green balls in the bag [tex]=[/tex] 15

number of yellow balls in the bag [tex]=[/tex] 18

number of orange balls in the bag [tex]=[/tex] 16

So , total number of balls in the bag = number of green balls + yellow balls + orange balls .

On substituting the values ,

we get

total number of balls = 15 +18 + 16 = 49

the probability of the event P(Yellow) = (number of yellow balls)/(total balls)

= 18/49

= 0.3673

= 36.73%

≈ 37%

Therefore , The probability of the event P(Yellow) is 37%  .

Learn more about Probability here

https://brainly.com/question/9109181

#SPJ1

The time it takes is 12 hours to travel 5,160 Miles.

The time is take can be calculated as follows?

The first is calculate the speed of jet plane in miles/hour (mph)

= 1,290 / 3

= 430 mph

Next is to calculate the time is take to travel 5,160 by dividing the distance by the speed

= 5,160 / 430

= 12 hours

Thus, the time it takes is 12 hours.

Learn more about speed here:

brainly.com/question/7359669

#SPJ1

The given graph can be expressed as an equation of f(x) = -2cos(-x).

What is a graph of a trigonometric function?

In these trigonometry graphs, the x-axis values of the angles are in radians, and the y-axis value of the function at each given angle is taken as f(x).

The given graph is of a negative angle of a negative cosine.

So if we draw the graph of the negative angle of a negative cosine, the graph will pass through the origin, but

If we multiply 2 from the graph of the negative angle of a negative cosine then we will get the same graph as shown in the given figure.

So the equation would be f(x) = -2cos(-x).

Hence, the equation of the graph will be f(x) =  -2cos(-x).

To learn more about trigonometric functions, visit:

brainly.com/question/24349828

#SPJ1

The width has a value of  8 meters

The mathematical statement from the question is given as

Length of a rectangle is four more than twice its width.

Mathematically, this can be represented as

Length = 2Width + 4

The perimeter is given as

Perimeter = 56 meters

The perimeter is calculated as

Perimeter = 2 x (Length + Width)

So, we have

2 x (2Width + 4 + Width) = 56

Divide by 2

2Width + 4 + Width = 28

This gives

3Width= 24

Divide by 3

Width = 8

Hence, the width is 8 meters

Read more about perimeter at

brainly.com/question/18019422

#SPJ1

a) In midday there is no change in the height of the water.

b) At 19.00 hours the height of water will decrease 1.5

Given,

The height of the water = h

Equation, h = 3sin(30t)°

t is the time in hours

a) We have to find the height of water in midday;

Midday = 12 noon

Now,

h = 3sin(30t)²

t = 12

Then,

h = 3sin(30 x 12)°

h = 3sin360°

h = 0

That is,

In midday there is no change in the height of the water.

b) We have to find the height of the water at 19.00

Now,

h = 3sin(30t)²

t = 19

Then,

h = 3sin(30 x 19)°

h = 3sin570°

h = -1.5°

That is,

At 19.00 hours the height of water will decrease 1.5

Learn more about height of water here;

https://brainly.com/question/13594154

#SPJ1

Answer:

C

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b ) a point on the line

To obtain either equation we require to know both the slope and one ordered pair that lies on the line.

The value of the given expression in the question, -[4.1-3(2.2)] / (0.2)² + 2       is 64.5.

What do you mean by expression?

An expression in mathematics is made up of numbers, variables, and functions (such as addition, subtraction, multiplication or division etc.)

You can think of expressions as being similar to phrases. A phrase in language may contain an action on its own, but it does not constitute a complete sentence.

-[4.1-3(2.2)] / (0.2)² + 2

Using the BODMAS rule to simplify the given expression.

Given expression can be written as:

= -[4.1-6.6] / 0.04 + 2

= -[-2.5]/0.04+2

=2.5/0.04+2

=62.5+2

=64.5

Therefore, 64.5 is answer for expression  -[4.1-3(2.2)]/(0.2)^2+2.

To know more about expression, go to link

https://brainly.com/question/723406

#SPJ9

Each corsages sell for $22. And Each boutonnieres sell for $21.

Brittany sold 12 corsages and 17 boutonnieres last year in total of $621.

And she sold 19 corsages and 16 boutonnieres this year for a total of $754.

First, we will create the system of equation from given information

So, the equations are

12x+17y=621..…(1)

19x+16y=754..…(2)

Where,

X=cost of one corsage

Y=cost of one boutonniere

Make y the subject of equation (1)

y=(621-12x)/17

Put this value of y in equation (2)

Therefore

19x+16((621-12x)/17)=754

19x+(9936-192x)/17=754

(323x+9936-192x)/17=754

131x+9936=12818

131x=12818-9936

131x=2882

x=2882/131

x=22

So, the cost of one corsage is $22.

Now, put this value of x in equation (1)

12×22+17y=621

264+17y=621

17y=621-264

y=357/17

y=21

The cost of one boutonniere is $21.

Thus, the cost of each corsages and boutonnieres are $22 and $21.

To know more about system of equation refer to :

https://brainly.com/question/13729904

#SPJ1

Answer:

7x + 2y = - 6

Step-by-step explanation:

the equation of a line in standard form is

Ax + By = C ( A is a positive integer and B, C are integers )

given

y = - [tex]\frac{7}{2}[/tex] x - 3 ( multiply through by 2 to clear the fraction )

2y = - 7x - 6 ( add 7x to both sides )

7x + 2y = - 6 ← in standard form

As per the rule of round off, the nearest ten thousand to the numbers are

a.12,456 = 10,000

b.60,792 = 60,000

c.93,245​ = 90,000

Round off

Round off defines a change a number into an approximation having fewer significant digits.

Given,

Here we need to round off the following numbers to the nearest ten thousand.

a.12,456

b.60,792

c.93,245​

a. 12,456

If you rounded to the nearest ten thousands place. The 1 in the ten thousands place rounds down to 1, or stays the same, because the digit to the right in the thousands place is 2.

If the digit to the right is less than 5 we round toward 0.

Therefore, 12,456 was rounded down toward zero to 10,000

b. 60,792

If you rounded to the nearest ten thousands place. The 6 in the ten thousands place rounds down to 6, or stays the same, because the digit to the right in the thousands place is 0.

So, if the digit to the right is less than 5 we round toward 0.

Then 60,792 was rounded down toward zero to 60,000

c. 93, 245

Similar to the previous one, if rounded to the nearest ten thousands place. The 9 in the ten thousands place rounds down to 9, or stays the same, because the digit to the right in the thousands place is 3.

When the digit to the right is less than 5 we round toward 0.

93245 was rounded down toward zero to 90,000

To know more about Round off here.

https://brainly.com/question/13391706

#SPJ1

Answer:

Linear

Step-by-step explanation:

because it is in the form y=mx+c if rearranged

Answer: The value of x in ∆ ABC is

Step-by-step explanation: By AA similarity

x² = 4* 16

x = 8

#SPJ1

The speed of the slower plane is 260 mph and the speed of the faster plane is 270 mph.

Distance is defined as the product of speed and time.

Let the speed of the slower plane would be s

then (s+10) = speed of the faster

So time equation; time = dist/speed

130 / s = 135 / (s+10)

130(s+10) = 135s

130s + 1300 = 135s

135s - 130s = 1300

5s = 1300

s = 1300 / 5

s = 260

Since s = 260 mph is the speed of the slower plane

So, 270 mph is the speed of the faster.

Thus, the speed of the slower plane is 260 mph and the speed of the faster plane is 270 mph.

Learn more about distance here:

brainly.com/question/13269893

#SPJ1

After solving thie expression using BODMAS rule we get the result equal to  [tex]\frac{67}{24}[/tex].

To solve arithmetic expressions of several operators, the BODMAS rule is a mathematics is a technique. We will solve an equation with several operators with the use of BODMAS. It provides the decoding of the mathematical phrase in the proper sequence.

B= Bracket

O= Of

D= Divide

M= Multiply

A= Addition

S= Subtraction

To solve this numerical expression,

[tex]\frac{2}{3}[/tex] ÷ 2⁴ + ([tex]\frac{3}{4}[/tex] + [tex]\frac{1}{6}[/tex]) ÷ [tex]\frac{1}{3}[/tex]

Use BODMAS method

[tex]\frac{2}{3}[/tex] ÷ 16 + ([tex]\frac{9+2}{12}[/tex]) ÷ [tex]\frac{1}{3}[/tex]

[tex]\frac{2}{3}[/tex] ÷ 16 + ([tex]\frac{11}{12}[/tex]) ÷ [tex]\frac{1}{3}[/tex]

[tex]\frac{2}{3}[/tex]  × [tex]\frac{1}{16}[/tex] + ([tex]\frac{11}{12}[/tex]) × 3

[tex]\frac{1}{24}[/tex] + [tex]\frac{33}{12}[/tex]

[tex]\frac{67}{24}[/tex]

The expression has a value equal to [tex]\frac{67}{24}[/tex].

To know more about  expression , visit:

https://brainly.com/question/14083225

#SPJ1

Answer:

Step-by-step explanation:

Answer:

7x + 8 is your answer

Step-by-step explanation:

The amplitude, midline and period of the function are 3 units, 4units and 5 units respectively

The amplitude is half the full height of the periodic function. That is:

Amplitude = (maximum - minimum)/2

Check the image attached, the maximum and minimum are labeled max and min respectively

Amplitude = (-1 - (-7))/2  = 6/2 = 3 units

The midline is the middle of the periodic graph or halfway between the minimum and maximum of the graph

Midline = (maximum + minimum)/2

Midline = (-1 + (-7))/2 = -8/2 = -4 units

The period is the distance between two peaks or (maximums) on the graph.

Period = 1-(-4) = 5 units

Therefore, the amplitude, midline and period are 3 units, 4units and 5 units respectively

Learn more about period function on:

https://brainly.com/question/23427826

#SPJ1

Answer:

1/2 or 1/6

Step-by-step explanation:

a fair die has 6 possible outcomes:

1,2,3,4,5, or 6

probability of getting an even number is:

3/6 = 1/2 {as there are three possible even outcomes}

probability of getting 6 is:

1/6

Answers in bold

Type of angle pair is same-side interior angles. These angles are supplementary so x = 46 degrees.

=================================================

Explanation:

The angles shown are known as "same-side interior" or "consecutive interior". They are interior because they are inside the parallel train tracks. They are considered "same-side" because both are below the transversal line.

If the train tracks are parallel, then those same-side interior angles are supplementary. This means they add to 180 degrees.

x+134 = 180

x+134-134 = 180-134

x = 46

The number of bottles that could be completely filled is: 30 bottles. Additionally, he has 0.72 liters of drink left. On the other hand, the total price of the music player and memory card is $96.25 (with tax).

To solve problem 1 we need to consider how much drink John got after mixing the honey water with the lemon juice.

Subsequently, we divide the total juice in quantities of 0.75 to obtain the number of bottles that we can fill, as shown below:

According to the above, 30 bottles of 0.75 liters can be filled and there would be a remaining 0.72 liters.

To solve problem 2 we must add the value with tax of the two products

Later, to find 10% of this value we must divide it by 100 and multiply the result by 10 as shown below:

Finally, we must add this value to the total value without tax ($87.5) to obtain the total value with taxes

$87.5 + $8.75 = $96.25

Learn more about mathematics in: https://brainly.com/question/15209879

#SPJ1

Answer:

3/8

Step-by-step explanation:

hope it helps :)

The largest place value of the numeric part of this quantity is 10 million.

Our entire number system is built around place value. This is the system in which the value of a number is determined by the position of its digits. The numbers 42,316 and 61,432 differ because the digits are in different positions.

Every digit in a number has a place value in mathematics. Place value is the value represented by a digit in a number based on its position in the number. For example, 7 hundreds or 700 is the place value of 7 in 3,743. The place value of 7 in 7,432 is, however, 7 thousands or 7,000.

In the number, 12,345,000, the highest place value is 1 and it denotes 10 million.

Learn more about place value on:

https://brainly.com/question/1654524

#SPJ1

Answer:

2x + 6 < 8 = x < 1

2x + 8 > 12 = x > 2

so, for the first one it's x < 1

and for the second one it's x > 2

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

I did it, I know, can I have brainliest please?

Answer:

[tex]1.7\geq b[/tex]

Step-by-step explanation:

3.5>=b+1.8

-1.8.       -1.8

1.7>=b

Hopes this helps please mark brainliest

Answer:

240

Step-by-step explanation:

30 X 8