lucia and ben have saved $150. lucia saved $2 for every $1 that ben saved. how much money did each person save

The solution to the system of equations 4a + 3b = -9 and 2a + 5b = -1 is a = 12, b = -5, found through substitution method.

Simultaneous equations are a set of equations with multiple variables, and the solution of these equations gives us the values of the variables that make all the equations true at the same time. To solve these equations, we can use elimination, substitution or matrices method.

Here, the given set of simultaneous equations is

4a + 3b = -9

2a + 5b = -1

One way to solve this is by substitution, where we solve one equation for one variable and substitute that expression into the other equation. Solving the first equation for "a", we get:

a = -3b - 3

Substituting this expression into the second equation, we get:

2(-3b - 3) + 5b = -1

Expanding the left-hand side, we get:

-6b - 6 + 5b = -1

Combining the like terms, we get:

-b - 6 = -1

Adding b and 6 to both sides, we get:

-b = 5

Finally, dividing both sides by -1, we get:

b = -5

Substituting the value of b back into the expression for a, we get:

a = -3(-5) - 3 = 15 - 3 = 12

So the solution to the system of equations is:

a = 12, b = -5

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Answer:

Step-by-step explanation:

The Answer would be -4x

Because 3-7= -4

Answer:

1/3

Step-by-step explanation:

6 faces in a die

1/6 of rolling each side

1/6 of rolling 2 or 3

2/6 chance, 1/3 (simplified)

Answer: 12/37

Step-by-step explanation:

sin A= bc/ab = 12/37

The sine of the angle is equal to the ratio of the opposite to the hypotenuse (Ik this probably made 0 sense but I hope it helps! :D)

(1, -1) is the solution to both equations.

A system of equations is a collection of two or more equations with the same variables. The goal is to find values for the variables that simultaneously satisfy all the equations in the system. There are different methods to solve a system of equations, including substitution, elimination, and graphing

The solution to both equations can found be determine by picking the x and y values of the point of intersection of the two lines. That is:

At the point of intersection of the lines:

x = 1 and y = -1

Thus, the solution to both equations is (1, -1)

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Answer:

224 m^2

Step-by-step explanation:

The dimensions of the four walls are:

6x8, 8x8, 6x8, 8x8

The area of all of these walls is 2(6x8 + 8x8) = 224 m^2

Answer:

Hi there! The answer is -3, 1, 4.

Step-by-step explanation:

4 is the greatest and -3 is the least.

Hope this helps!

Brainiest? Can click the crown on this answer? Thanks!

Answer:

y = 250x

Step-by-step explanation:

y = 1/[tex]x^{3}[/tex](k)  Solve for k

2 = 1/[tex]5^{3}[/tex](k)

2 = 1/125 (k)  Multiply both sides by 125

250 = k

y = 250x

y = 1500 + 150x, this is correctly  represents the relationship between x and y in the graph. This can be solved using the slope formula.

Slope, An evaluation of a line's inclination with respect to the horizontal using numbers. The slope of any line, ray, or line segment in analytical geometry is defined as the proportion of the vertically to the horizontally distance between the two points on the line ("slope equals rise over run").

(0, 1500) to (2, 1800)

thus, slope = (y₂ - y₁) / (x₂ - x₁)

or, slope = 300 / 2

or, slope = 150

So, y - 1500 = 150x

thus, y = 1500 + 150x

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The complete question is as follows:

Answer:

Step-by-step explanation:

The required number is 140 and it is divided by 10²

Assume the given numbers with 2 different variables and form the mathematical expressions according to the given conditions in the problem. Now solve the resultant equations by substitution method for the values of both variables.  

Here we have

Marisa divides a number by a power of ten and the quotient is 1.4.  

If she multiplies the number by the same power of ten, the product is 14,000.  

Let 'x' be the number and the power of 10 is 'a'

By the given data,

=> x/10ᵃ = 1.4  ---- (1)

=> 10ᵃx = 14000 ---- (2)

From (1)

=> x = 1.4 × 10ᵃ  --- (3)

From (3) and (2)

=> 10ᵃ(1.4 × 10ᵃ) = 14000

=> [tex]10^{2a} = \frac{14000}{1.4}[/tex]  

=> [tex]10^{2a} = 10000[/tex]  

=> [tex]10^{2a} = 10^{4}[/tex]  

=> 2a = 4

=> a = 2

From (3)

=> x = 1.4 × 10²  

=> x = 140  

Therefore,

The required number is 140 and it is divided by 10²

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The expression represents the amount in dollars the salesperson makes, before taxes, would be 7x + 100 = 40.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

The Numbers constants, variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbol; which can also be used to indicate the logical syntax's order of operations and other features.

We are given that car sales person makes $7.00 per hour plus $100.00 for every car sold.

Therefore, we have;

7x + 100 = 40

The expression represents the amount in dollars the salesperson makes, would be 7x + 100 = 40.

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Answer:

1/4

Step-by-step explanation:

7/8 - 5/8 = 2/8

2/8 divided by 2/2 is 1/4

Answer:

7/8-5/8

Step-by-step explanation:

7-5/8

2/8

2 into itself and into 8 is equal to 1/4

Based on the boxplot, approximately 50% percent of the people who entered the amusement park met the height requirement for the attraction.

Box-Plot is a summary of the sample distribution presented graphically which can describe the shape of data distribution (skewness), a measure of central tendency and a measure of dispersion (diversity) of observational data. There are 5 statistical measures that we can read from the boxplot, namely:

In addition, the boxplot can also show whether there are outlier values and extreme values from the observed data.

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The value of c is zero and a and b can be something else, because the vector are linearly independent.

A set of vectors is linearly independent if no vector can be expressed as a linear combination of the others (i.e., is in the span of the other vectors). A set of vectors is linearly independent if no vector can be expressed as a linear combination of those listed before it in the set.

Assume the following:

[tex]a\left[\begin{array}{ccc}2\\2\\0\end{array}\right] + b\left[\begin{array}{ccc}1\\-1\\1\end{array}\right] +c\left[\begin{array}{ccc}4\\2\\-2\end{array}\right] = \left[\begin{array}{ccc}0\\0\\0\end{array}\right][/tex]

Determine if a=b=c=0

[tex]2a+b+4c =0 (1)\\ 2a-b+2c =0 (2)\\b-2c=0(3)\\[/tex]

Subtract (2) from (1)

[tex]b+c = 0\\b-2c=0[/tex]

Substitute (5) into (4), we get c=0.

So now what do I do with this fact? I'm tempted to say that only c=0, and a and b can be something else.

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The value of the expression,

F(x) + G(x) is -6x⁴ -2x³ + 8x² -x + 11.

Combining objects and counting them as one big group is done through addition. In arithmetic, addition is the process of adding two or more integers together. Addends are the numbers that are added, and the sum refers to the outcome of the operation.

Given:

An expression,

F(x) = -6x⁴ + 2x² + 12

And G(x) = -2x³ + 6x² - x - 1

To solve F(x) + G(x):

F(x) + G(x)

= -6x⁴ + 2x² + 12 -2x³ + 6x² - x - 1

Simplifying,

=  -6x⁴ -2x³ + 8x² -x + 11

Therefore, the value is -6x⁴ -2x³ + 8x² -x + 11.

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The complete question:

F(x) = -6x⁴ + 2x² + 12

And G(x) = -2x³ + 6x² - x - 1

Find out, F(x) + G(x)?

The expression evaluates to 14x + 22.

From the question, we have the following parameters that can be used in our computation:

3/4(24x + 28) - (4x - 1)

We can start by simplifying the expression inside the parentheses:

3/4(24x + 28) - (4x - 1)

Remove the brackets

18x + 21 - 4x + 1

Evaluate the like terms

14x + 22

So, the value of the expression evaluates to 14x + 22.

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Answer:

x = 40

Step-by-step explanation:

We have to find,

→ the value of x in the equation.

The equation is,

→ (x/2) + 3 = 23

Now the value of x will be,

→ (x/2) + 3 = 23

→ x/2 = 23 - 3

→ x/2 = 20

→ x = 20 × 2

→ [ x = 40 ]

Hence, the value of x is 40.

The result of the 10th iteration is 1.689, rounded to the nearest ten-thousandth.

The initial value for this question is 2 + 0.01 = 2.01. If we iterate this initial value using the function "f" ten times, we get the following sequence:

1st iteration: f(2.01) = 3.07 - [tex](2.01)^{2}[/tex]= 0.1599

2nd iteration: f(0.1599) = 3.07 - [tex](0.1599)^{2}[/tex]= 2.868201

3rd iteration: f(2.868201) = 3.07 - [tex](2.868201)^{2}[/tex]= 0.34459799

4th iteration: f(0.34459799) = 3.07 - [tex](0.34459799)^{2}[/tex] = 2.46306801

5th iteration: f(2.46306801) = 3.07 - [tex](2.46306801)^{2}[/tex] = 0.86121799

6th iteration: f(0.86121799) = 3.07 - [tex](0.86121799)^{2}[/tex] = 2.11255201

7th iteration: f(2.11255201) = 3.07 -[tex](2.11255201)^{2}[/tex] = 1.47511099

8th iteration: f(1.47511099) = 3.07 -[tex](1.47511099)^{2}[/tex]  = 1.87593299

9th iteration: f(1.87593299) = 3.07 -[tex](1.87593299)^{2}[/tex] = 1.28972499

10th iteration: f(1.28972499) = 3.07 -[tex](1.28972499)^{2}[/tex] = 1.68900499

So, the result of the 10th iteration is 1.689, rounded to the nearest ten-thousandth.

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Answer:

1/ a, c, d

2/ You are missing the option in the picture.

Step-by-step explanation:

If a relation is a function, one input can only have one output!

1/

b is wrong because 1 has two outputs -3 and 0. So, the answer for 1 is: a, c, d

2/

To test whether the graph is a function, we have to see if one x has 2 y or not! If it has 2 y, then it is not a function.

You are missing the options for question 2! So I can't answer number 2.

No, the given sequence is neither an arithmetic nor geometric sequence as there is no common difference nor common ratio.

Pattern for difference is dₙ = dₙ₋₁ + 1.

Pattern of the sequence is :

15, 17, 20, 24, 29,.....

15 + 2 = 17

17 + 3 = 20

20 + 4 = 24

24 + 5 = 29

Next number will be

29 + 6 = 35

35 + 7 = 42 and so on.

Difference of two consecutive terms are related by :

dₙ = dₙ₋₁ + 1

Common difference is not same for all the terms so it is not arithmetic sequence.

Common ratio is also not constant implies it is not geometric sequence.

Therefore, pattern for difference is dₙ = dₙ₋₁ + 1 but sequence is neither an arithmetic nor geometric sequence.

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Class A and Class C sell 187.5 altogether

Represent the classes with their initials

So, we have

B = 2A

C = 3/4 * B = 3/4 * 2A

C = 3/2A

The total number of bars they had initially was

A + B + C = Total

A + 2A + 3/2A = Total

Total = 4.5A

The average number of bars the 3 classes had initially was 225,

So

4.5A = 225

A = 75

For Class A and Class C together, we have

Class A and C = A + 3/2A

Class A and C = 75 + 3/2 * 75

Class A and C = 187.5

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Answer:

3 3/13 hours

Step-by-step explanation:

you will first find out how many hours it will take for each gardener to do 1 part of the job. gardener 1 is 1/6 and the second is 1/7. you will next add the two fractions. this will equal 13/42. you will then multiply by the reciprocal to get 1, this stands for the whole job done together. The reciprocal is the answer, 42/13. You will then simplify that to 3 3/13 hours.

When the variance of the error term increases in a simple linear regression model, it indicates a less accurate model with a high degree of uncertainty in its predictions.

Regression is a statistical method used to model the relationship between two variables, where one of the variables is dependent on the other.

Simple linear regression is a type of regression where the relationship between the dependent variable and the independent variable is modeled as a linear equation.

Mathematically, let's consider the simple linear regression equation as:

Y = β0 + β1X + ε

Where Y is the dependent variable, X is the independent variable, β0 and β1 are the coefficients of the regression equation, and ε is the error term.

The variance of the error term, Var(ε), is a measure of the spread of the residuals. A large variance of the error term indicates that the residuals are spread out over a large range, and thus, the regression model's predictions may not be very accurate.

In other words, a large variance of the error term means that the model has a high degree of uncertainty in its predictions, leading to a larger deviation between the actual and predicted values.

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Answer:

if there anything you dont understand ask me

Pedro había reunido 25.000.000$ antes de pensar en prestar con el banco. Al finalizar los 10 años, Carlos pagaría 37.800.000$ en total, lo que significa que tendrá que pagar una cuota mensual de 315.000$ durante los 10 años para poder cumplir con el préstamo.

El préstamo que Carlos está considerando es una forma común de financiamiento para proyectos de construcción de viviendas. Esta forma de financiamiento le permite a Carlos acceder a fondos que de otro modo no tendría, permitiéndole construir su casa de los sueños. El préstamo a largo plazo también le ofrece la flexibilidad de pagar el préstamo en cuotas mensuales durante un período de 10 años.

Versión en inglés:

Peter had raised $25,000,000 before he thought about lending with the bank. At the end of the 10 years, Carlos would pay $37,800,000 in total, which means he will have to pay a monthly payment of $315,000 over the 10 years in order to make good on the loan.

The loan Carlos is considering is a common form of financing for home construction projects. This form of financing allows Carlos to access funds he would not otherwise have, allowing him to build his dream home. The long-term loan also offers him the flexibility to repay the loan in monthly installments over a 10-year period.

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Answer:

405

Step-by-step explanation:

Answer: 405

Step-by-step explanation:

Answer: 37

Step-by-step explanation:

 6 divided into 2 is 0.

0 multiplied by 6 is 0.

2-0=2

bring down the other 2

6÷22=3

3×6= 18

23-18= 4

bring down the 3rd 2

now we have 44

44÷6 =43

42-42= 0

hence the answer is 37

Answer:

114

Step-by-step explanation:

If jack has 684 which is 6 times jill then divide 645 by 6 and thenmake sure its correct by multiplying 6 times what you got and if the awnser if 684 its correct

Answer:

$4,104

thus : since jack has $684

jill=6*$684=$4104