MATHEMATICS HIGH SCHOOL

Haddle wrote a check to the grocery store for $156.00. However, when she looks at her check register later that night, she sees she only has$122.66 In her checking account. Haddle has opted in to the standard overdraft practices at her bank. How many fees is Haddle likely to pay for

writing the check?

Answers

Answer 1

Answer:

she will have one fee for standard overdraft practices and that will prevent a fee from the grocery. store

Step-by-step explanation:

We are told she wrote a check to the grocery store for $156.00.

And that when she looked at her check register later that day, she had only $122.66.

This means she doesn't have sufficient balance for the grocery.

It means the bank will pay the overdraft and it attracts charges which may vary for different banks.

Thus, she will have one fee for standard overdraft practices and that will prevent a fee from the grocery store

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Answer:

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Step-by-step explanation:

Maggie's brother is 3 years younger than twice her age the sum of their ages is 24. how old is Maggie?

Answers

For this case, the first thing we must do is define variables.

We have then:

x: Maggie's age

y: Age of Maggie's brother

We write the system of equations that models the problem.

We have then:

We solve the system of equations.

For this, we use substitution:

From here, we clear the value of x:

Answer:

Maggie is 9 years old

Maggie's age is 9

Further Explanation

One variable linear equation is an equation that has a variable and the exponent number is one.

Can be stated in the form:

$\large {\boxed {\bold {ax=b}}$

ax + b = c,

where a, b, and c are constants, x is a variable

Whereas the two-variable linear equation is a linear equation that has 2 variables and the exponent is one

Can be stated in the form:

$\large {\boxed {\bold {ax + bx = c}}}$

x, y = variable

Let Maggie's age = x

Maggie's brother = y,

In the statement of the task:

Maggie's brother is 3 years younger than twice her age

we translate this sentence into the equation

y = 2x-3 ... equation 1

The sum of their ages is 24

we translate this sentence into the equation

x + y = 24 ...equation 2

Both of these equations are equations that have 2 variables, so the solution can be used in 3 ways:

1. graph system

the solution is the intersection point of the two equations / lines.

2. substitution

the solution is we change one variable into another variable form of an equation, then substitutes that variable in another equation

3. elimination

the solution is to eliminate one variable from the equation system.

to determine the variable x we eliminate the variable y first, or vice versa.

We use the second method: substitution

we substitute equation 1 into equation 2 :

$\displaystyle x+2x-3=24$

$\displaystyle 3x-3=24$

$\displaystyle 3x=27$

$\displaystyle x=9$

So Maggie's age: $\large{\boxed{\bold{9}}$

Learn more

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Keywords: variable, equation, substitution, elimination, graph, Maggie's age

I need help with the last three blanks (also sorry for the bad handwriting)