Write a story or situation that can be represented by the given equation.
4a + 5=12a − 11

If he wants to make $125 by working 14 hours per week, he must invest 17 hours in babysitting and -3 hours in tutoring.

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.

Here,

Cost of tutoring=$15

Cost of babysitting=$10

Total time he can give=14 hours

Total amount he wishes to earn=$125

Let x be the time he gave to tutoring and y be the time he gave to babysitting,

x+y=14

x=14-y

15x+10y=125

15(14-y)+10y=125

210-15y+10y=125

5y=85

y=17

x=-3

He should spend 17 hours on babysitting and -3 hours on tutoring if he want to earn $125 by working 14 hours per week.

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The system of equation is inconsistent as these three equations does not give any solution.

In comparison to equations with two variables, a three-variable linear equation requires a little more work to solve. The extra variable is the cause of this complexity.

Even if there are various ways to solve this kind of equation, the elimination technique is still the simplest.

To solve three variable linear equations using the elimination approach, follow these steps:

1. Avoid using fractions and decimals and write all the equations in standard form.

2. Pick an appropriate variable to remove.

3. Remove the chosen variable from any two of the three equations.

4. Choose another set of the two equations, and then take the same chosen variable out.

5. For the two variables they each include, solve the two equations from stages three and four.

6. Replace the answer in fifth step.

7. Reverify by putting them again in the equation.

So according to these given Equations we have to find the value of x, y and z respectively,

-2x + 15y + z = 44

4x + 3y + 3z = 18

-3x+6y-z = 8

After solving these three equations we do not get any solutions.

Hence the system of equations is inconsistent.

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3x^3 + 2x^2 + 11x - 20 + (10/(-x-7)), This corresponds exactly to the result of polynomial long division.

Algebraic expressions called polynomials include constants and indeterminates.

Polynomials can be thought of as a type of mathematics. Nearly all branches of mathematics employ them to express numbers, and calculus is one of those branches where they play a crucial role.

A specific kind of expression is a polynomial. A mathematical statement without the equals symbol (=) is called an expression.

An algebraic expression known as a polynomial requires that all of its exponents be whole numbers.

Any polynomial must have variable exponents that are non-negative integers.

Although a polynomial contains variables and constants, we are unable to divide a polynomial by a variable.

According to our question-

-3x3 + 2x2 + 11x - 20 + (10/(-x-7)) = 3x4 + 19x3 - 25x2 - 57x + 150

In order to perform synthetic division, we must first remove the minus sign from the divisor and write out

-7 | -3 -19 25 57 -150

| 21 -14 -77 140

-3 2 11 -20 -10

obtain that

3x4 + 19x3 - 25x2 - 57x + 150 / (-x-7) is equivalent to 3x4 - 19x3 - 25x2 - 57x + 150 / (x+7) is equivalent to 3x3 + 2x2 + 11x - 20 + (10/(-x-7)).

Hence, 3x^3 + 2x^2 + 11x - 20 + (10/(-x-7)), This corresponds exactly to the result of polynomial long division.

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If a piper will make $2050 in sales in a week than she will get 557.5$ including her commission and salary.

A sales commission is a payment made to an employee after they successfully complete a task, typically selling a predetermined volume of goods or services. Sales commissions are a common incentive used by employers to boost employee productivity. A commission can be paid instead of or in addition to a salary.

As she makes a guaranteed salary of $250 per week

and  paid a commission equal to 15% of her total sales for the week

if  she made $2050 in sales in a week

so calculating it 15% commission

=(15x2050)/100

=307.5$

now adding the salary with commission:

=$250+307.5$

=557.5$

so this is the amount piper make will in this a week.

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Answer: it’s raining tacosss. From out of the skyyYYy.

Step-by-step explanation:kit tu litter

Answer:

x = 1 student.

Step-by-step explanation:

Answer: 26

Step-by-step explanation:

let t = thomas's age

104 = (3t) + t

104 = 4t

t = 26

Answer: 26 years old

Step-by-step explanation:

    We will write a system of equations to help us solve, let h be equal to Huilan's age and t be equal to Thomas's age.

         h = 3t

         h + t = 104

    Now, we will solve by substituting the first equation into the second.

    Then, we will simplify the equation on the left side by combining like terms and dividing both sides of the equation by 4 to isolate the variable.

         h + t = 104

         (3t) + t = 104

         4t = 104

         t = 26

Answer: In 6 years the sum of Manas' age and his sister's age will be 48 years.

Step-by-step explanation:

We know that value of a dozen is 12 and the score is 20.

Hence,

Uncle Mike's age = 12+20 = 32 years

Since Manas' sister is 8 years younger than Mike,

Her age = 32 - 8 = 24 years

We know that Manas is half her age. Therefore,

Manas' age  = 24 ÷ 2 = 12 years

After x years the sum of Manas' age and his sister's age will be 48 years.

Manas' future age = (12 + x) years

His sister's future age = (24 + x) years

The Sum of their ages is 48 years. Hence,

(24 + x) + (12 + x) = 48

36 + 2x = 48

2x =  48 - 36

2x = 12

x = 12 ÷ 2

x = 6

Therefore, in 6 Years sum of their ages is 48 years.

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Answer: B

Step-by-step explanation:

For [tex]f(x)=3x-\frac{1}{2}[/tex], comparing it with slope-intercept form yields that the slope is [tex]3[/tex] and the [tex]y[/tex]-intercept is [tex]-1/2[/tex].

For the graphed function, the slope is [tex]\frac{-4-0}{-2-6}=\frac{1}{2}[/tex] and the [tex]y[/tex]-intercept is about [tex]-3[/tex].

Since the absolute value of the slope of the graphed function is less than that of [tex]f(x)[/tex], option B is correct.

D would give A $10 and B $5  in total amount will the friend who earned $40 give to the others .

The quantity of something is how much there is, how much you have, how much you require, or how much you obtain. He requires that sum of money to get by. I still provide some services to them. Definitions of quantity, lot, measure, and size Additional words for "quantity".

calculation

Let A, B, C, and D each stand in for one of the four buddies.

A made $15 in earnings.

B made $20 in revenue.

C made a profit of $25.

D made $40 in revenue.

Total earnings equal 15 plus 20 plus 25 plus 40.

$100 was earned overall.

Each friend ought to receive an equal share;

Each income is calculated as follows: total income /friends

Adding a substitute to the equation, we have;

Each income equals 100/4

$25 equals each earnings.

D would therefore become; given $40.

D = $40 - $25

D = $15

As a result, D would give A $10 and B $5.

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Answer:

the 4th graph

Step-by-step explanation:

Linear functions are straight lines.

The value for df within in an experiment with two levels of factor a and three levels of factor b and five samples for each treatment condition is between 3.

Let n1 represent factor A's level of freedom.

Let n2 represent factor B's degree of freedom.

If factor A has five levels, then n1 = 2.

If Factor B has seven levels, then n2 = 3.

The formula is used to express how the degrees of freedom interact;

df = (n1 - 1)+(n2 - 1) (n2 - 1)

df = n1 -1 + n2- 1

df = n1 + n2 -2

Replace n1 and n2 to obtain df;

df = 2 + 3 - 2

df = 3

Thus, the value for df within in an experiment with two levels of factor a and three levels of factor b and five samples for each treatment condition is 3.

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Answer: $44.85

Step-by-step explanation:

Take 39 times 0.15% = $5.85

39 + 5.85 = $44.85

The total cost is $44.85

Answer: 44.85

Step-by-step explanation:

15% of 39 = 5.85

The cost of each desk is $42.

The initial cost to make these new school desks is $635.

What is a solution of linear function?

The terms "linear function" in mathematics apply to two different but related ideas: A polynomial function of degree zero or one that has a straight line as its graph is referred to as a linear function in calculus and related fields.

Assume that the cost of each desk be m.

The initial cost to make these new school desks be c.

Then the total cost will represent by the equation:

y = mx + c .....(i)

Putting x =21 and y = 1517 in the equation (i)

1517 = 21m + c ...(ii)

Putting x = 47 and y = 2609 in the equation (i)

2609 = 47m + c ...(iii)

Subtract equation (ii) from (iii)

47m + c =2609

21m + c = 1517

(-)     (-)     (-)

___________

26m = 1092

Divide both sides by 26

m = 42

Putting m = 42 in equation (ii)

1517 = 21 × 42 + c

1517 = 882 + c

c = 1517 - 882

c = 635

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The equation of line which is perpendicular to the given line and passes through the points ( 3, 4) is y = 3x + 5

The slope-intercept form is the way to write a line's equation so that the y-intercept (where the line crosses the vertical y-axis) and slope (steepness) are instantly visible.

The slope intercept form of a straight line equation can be written as :

y = mx + c

Where

m = slope = (change in the y-value) axis's / (change in the value of x in the x axis)

The given line's equation is

y = - x/3 + 5

Slope = - 1/3 as compared to the slope intercept form.

The slope of one line is equal to the negative reciprocal of the slope of the other line if two lines are perpendicular.

As a result, the slope of the line through (3, 4) is 3.

In order to calculate the intercept, we would replace m with 3, x with 3 and y with 4

The equation becomes

4 = 3 × 3 + c

c = -5

putting the value of c and m in the slope intercept form equation

We get

y = 3x - 5

The equation of line which is perpendicular to the given line and passes through the points ( 3, 4) is y = 3x + 5

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Answer:

A.) y = –3x + 4 and y = –3x – 4

Step-by-step explanation:

The first equation of a system of equations is y = -3x + 4 and the second equation is y = -3x - 4.

We can see that both equations have the same slope of -3 and have different y-intercepts of 4 and -4, respectively.

Because the two lines are parallel, they will never intersect and will overlap each other, resulting in an infinite number of solutions.

Therefore, the system of equations y = –3x + 4 and y = –3x – 4 has infinitely many solutions.

Left hand side is equal to right hand side that is 7x+19 the missing term is 2x+31 we get equation as 7x+19= 4x+x-12+2x+31.

Given that,

We have to find the fill the blank of the equation with infinite solution is 7x+19= 4x+x-12+------

We know that,

Take the equation

7x+19= 4x+x-12+------

We have to find the missing terms so that the right hand side is equal to left hand side.

Right hand side is 7x+19

Left hand side is 4x+x-12+------

5x-12+----

To get 7x we have to add 2x and to get +19 we have to add 31 to left hand side.

5x-12+2x+31

7x+19

Therefore, Left hand side is equal to right hand side that is 7x+19 the missing term is 2x+31 we get equation as 7x+19= 4x+x-12+2x+31.

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Answer:

8

Step-by-step explanation:

128/n * n = 16 * n

128 = 16n

128/16 = 16/16 n

n = 8

Answer: Angle A= 70 degrees and AC= 12 cm.

Step-by-step explanation: Isosceles have two equal sides and angles. We can see this by the red lines and angle signs.

The perimeter of the planter 36s

The perimeter of a regular octagon with side s is 8s.Each side of the planter will be 9 inches long.

The length of a shape's outline is its perimeter. You must add the lengths of all four sides of a rectangle or square to determine its perimeter.

The distance around an object is called the perimeter. For instance, the yard of your home is fenced in. The fence's length serves as the perimeter.

The perimeter of a regular octagon with side s is 8s.

Each side of the planter will be 9 inches long.

so

9*4 =36

The perimeter of the planter is 36s.

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This is my method.

Take two points.

(X₁ = -8, Y₁ = 8)

(X₂ = -3, Y₂ = 4.875 or 4 7/8)

Equation of a straight line:

y = mx + b ------(i)

Step 1: Calculating Slope (m).

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

[tex]\frac{4.875-8}{-3--8}[/tex]

[tex]\frac{-3.12500}{5}[/tex]

[tex]m=-0.625[/tex]

Now putting value of m in equation (i)

  y = -0.625x + b -----(ii)

Step 2: Calculating Y-intercept (b).

Lets choose the first point, (-8,8) for calculating y-intercept:

y = mx + b

8 = -0.625(-8) + b

8 = 5 + b

3 = b

b = 3

Now putting value of b in equation (ii)

y = -0.625x + 3

This is slope-intercept form, now let's convert to point-slope formula.

⇒ [tex]y-2.375=-0.625(x-1)[/tex]

A linear regression equation that represents this set of data is y = 31x + 799.8.

The calendar year in which the number of new cases would reach 1141 is 2022.

In this scenario, the Year since 2011 (x) would be plotted on the x-axis of the scatterplot while the New cases (y) would be plotted on the x-axis of the scatterplot.

On the Excel sheet, you should right click on any data point on the scatterplot, select format trend line and then tick the box to display an equation for the linear regression (line of best fit) on the graph.

By critically observing the scatterplot (see attachment) which models the relationship given in the table for the Year since 2011 (x) and the New cases (y), an equation for the linear regression is given by:

y = 31x + 799.8

Now, we can estimate the calendar year in which the number of new cases would reach 1141:

1141 = 31x + 799.8

31x = 1141 - 799.8

31x = 341.2

x = 341.2/31

x = 11.0

Calendar year = 2011 + 11

Calendar year = 2022.

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Answer:

1/2

Step-by-step explanation:

we can make this a fraction

29/59

if we look at our answer choices it is not 0 and it is not a whole number yet and definitely not 2 but it is close to 1/2

29/59=0.49

1/2= 0.5

Which are very close to each other

Hopes this helps please mark brainliest

The first three terms of the given sequence are 1, -3, and -7 respectively.

What are sequence and series?

An arrangement of numbers in a specific order is referred to as a sequence. The total of a sequence's components, on the other hand, is known as a series.

Given, the [tex]n^{th}[/tex] term of a sequence is: [tex]u_{n}[/tex] = 5 - 4n

We need to find the first three terms, then n= 1, 2, 3 respectively

So, first term, n = 1, [tex]u_{1}[/tex] = 5 - 4*1 = 5 - 4 = 1

second term, n = 2, [tex]u_{2}[/tex] = 5 - 4*2 = 5 - 8 = -3

third term, n = 3, [tex]u_{3}[/tex] = 5 - 4*3 = 5 - 12 = -7

Hence, the first three terms of the sequence are 1, -3, and -7 respectively.

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Answer:

9) compress

10) translate right 8 units

Step-by-step explanation:

Answer:

15.414

Step-by-step explanation:

 3.67

x 4.20 ← the zero is your 'holding' spot so to speak

 000 ← 0 x 7, 0 x 6, 0 x 3

.7340 ← 2 x 7, 2 x 6 + 1, 2 x 3 + 1

14.6800 ← 4 x 7, 4 x 6 + 2, 4 x 3 + 2

15.414

Students in french class are 9 and in Spanish are 18 , according to given equation.

What is arithmetic?

Arithmetic is an elementary a part of arithmetic that consists of the study of the properties of the normal operations on numbers—addition, subtraction, multiplication, division, mathematical operation, and extraction of roots.

Main body:

According to question:

A French class has students while a Spanish class has twice as many.

let french class have f students then Spanish class will have 2f students.

The Spanish class has nine more students than the French class.

which means

2f - f = 9

f = 9

hence students in french class are 9 and in Spanish are 18 .

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Step-by-step explanation:

[tex]2xy^2 + 8y[/tex]

2y is the common factor so:

[tex]2y(xy + 4)[/tex]

The answer will be 5/117.

Let us understand the process. First, we have to do -\

1/9x{-5/13).

Then we have to then calculate -1x-5 which is equal to 5.

Again, we have to calculate 9x13 which is equal to 117.

Therefore, the answer will be 5/117.

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Answer:

Paulina is reading a book with 677pages total. If she has already read 345 and plans to read 23 pages a day, how many days, x, will she nees to read at that pace until she finishes the entire book?

Step-by-step explanation:

[tex]345 + 23x = 677[/tex]

23x=677-345

x=677-345/23

x=332/23

x= 14.43 days

Therefore, In order to complete this activity, we must have understanding of divisibility, which leads us to discover that:

3025 is [tex]5^{2} (11)^{2}[/tex]

A number's factors, and more specifically its prime factorization, can be expressed as factor trees. There are factors for each branch of the tree. The branch comes to an end and the number is circled once the factor at the branch's end is a prime number, leaving only itself and one as potential factors.

Here,

Since divisibility is the capacity of a number to lose value, we determine that:

=> 3025/5 =605

=>  605/5=121

=> 121/11=11

=> 11/11=1

=[tex]5^{2} (11)^{2}[/tex]

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