Cooper's account
went into overdraft. To get back to a positive balance, he deposited money at a steady
rate of $23.34 per week. After 6 weeks, he had $102.56 in the account. What was the
balance when the account went into overdraft?

Answer:

10

Step-by-step explanation:

If there is a direct relation between two variables x and y then it can be represented as

y = kx ,

where y is dependent variable

x is  independent variable

k is constant of variation

_____________________________

First condition

y = 400

x = r

using y = kx then relationship will be

400 = kr

finding k here

k = 400/r

Second condition

y = r

x = 4

using y = kx then relationship will be

r = 4k

finding k

k = r/4

since  in both condition equation is same

thus, value of k will also be same

thus,

400/r = r/4

=> 400*4 = r*r

=> 1600 = r^2

[tex]\sqrt{r^{2} } = \sqrt{1600} \\r = 40[/tex]

Thus, 40 is the value of r

k = r/4 = 40/4 = 10

Thus, constant of variation is 10 which is correct choice.

To cross validate

k = 400/r = 400/40 = 10

Answer:

40

Step-by-step explanation:

[tex]\frac{r}{400}[/tex] = [tex]\frac{4}{r}[/tex]

cross multiply - 400*4 = 1600 and r*r = r^2

square both - √1600 = 40

Answer:

it transformed each point 2 units to the left and 10 units down.

function notation; f(x)= (2+x) -10

Step-by-step explanation:

Answer:

the answer is the first option, A) 2x-7

Step-by-step explanation:

Answer:

"Ay Cuz!" get it no okay but A is the answer

Step-by-step explanation:

Answer:

2a * 5b

Step-by-step explanation:

2 times a = 2a

5 times b = 5b

The phrase "the product" shows the 2 elements are being multiplied together.

Answer:

(x-y) (x+y-1)

Step-by-step explanation:

x^2-y^2-x+y

(x-y) (x+y) - (x-y)

(x-y) (x+y-1)

Answer:

(x-y) (x+y-1)

Step-by-step explanation:

x2-y2-x+y

= (x-y) (x+y) - (x-y)

= (x-y) (x+y-1)

Answer:

Some real numbers are integer

Step-by-step explanation:

Real numbers ;

The answer that makes the sentence true is, some real numbers are integers.

A real number is a number that is both a rational number and an irrational number. Examples of real numbers are 1, 3.14 and 0.

Integers are whole numbers. It is a number without a fraction or decimal component. Integers can either be positive, negative or zero.

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$1.25 for parking the car. $3.50 to park the truck.

Answer:

-3

mike's final position relative to the ground is 3 feet's underground

Step-by-step explanation:

We take positive value when he is above the ground and then take negative value when he is below or underground

6 feet's underground = -6

He climbs up 14 feet = +14

He climbs down 11 feet = -11

We are required to find his last position relative to ground level

= -6+14-11

= (-6) + (-11) + 14

= -17 + 14

= -3

So we have it that mike's final position relative to the ground is 3 feet's underground

Answer:

Toby Vail wis taxed for $456

Step-by-step explanation:

First, we make the deductions:

gross pay 18,200 - 1,500 deductions = 16,700 taxable income

Now, we make the tax-calculations:

first $3,000 x 0.015 =       $ 45

above:

(16,700 - 3,000) x 0.03 =  $411

Total tax levied from the State:  $45 + $411 = $456

Notice how the tax is calcualte in brackets to solve for the different taxation rate at different income levels.

Answer:

49.9

Step-by-step explanation:

335.5 minus 105.6 minus 180 = 49.9

Answer:

THE banking industry’s collective response to the pandemic thus far has been notable. It was no easy feat to go fully virtual and execute an untested operating model in a matter of weeks. Despite some hiccups, many banking operations were executed smoothly. Customers were served, employees were productive, and regulators were reassured. Banks effectively deployed technology and demonstrated unprecedented agility and resilience.

Answer:

Just find the coordinate at the point where the x-coordinate is 3

Step-by-step explanation:

F(x) is just another term for Y. The variable of X is the value that you input into the f(x), which just stands for a function. Since the value that they asked for was 3, you know that they inputted the value of 3 as x. Just look where the coordinate at the point where the x-coordinate is 3 to find the answer.

Answer:

Sample Response: For f(3), the input is 3 and you are looking for the output. To determine the function's value when x = 3, go to the value of 3 on the x-axis and then locate the graph for that value of x. Determine the value of y from the y-axis at that location on the graph.

Step-by-step explanation:

answer on edge2020

Answer:

x < 4

Step-by-step explanation:

Please see attached picture for full solution.

Answer:

Step-by-step explanation:

g(5) = 5^2 - 4 = 25 - 4 = 21

f(21) = 5(21) + 2 = 105 + 2 = 107

Answer:

Between the first option and the last option.

Step-by-step explanation:

first choice: c, a, d, b, e

last/fourth choice: a,c,d,b,e

Answer:

[tex]b = \frac{2a - c}{2} [/tex]

Step-by-step explanation:

[tex]2a = 2b + c[/tex]

[tex] = > 2b = 2a - c[/tex]

[tex] = > b = \frac{2a - c}{2} [/tex]

Answer:

C=1.75(t)

Step-by-step explanation:

The cost is however many hours spent multiplied by 1.75.

C=1.75(t)

Hope this helps :-)

Answer:

Algebraic equation ; 2x+24 =49

x = 12.5

Step-by-step explanation:

Let the unknown number be x

[tex]2(x) +24 =49\\\\2x +24 =49[/tex]

Collect like terms and simplify

[tex]2x =49-24\\2x =25\\[/tex]

Divide both sides of the equation by 2

[tex]\frac{2x}{2} = \frac{25}{2} \\\\x = 12.5[/tex]

Answer:

Step-by-step explanation:

4x + 9 + 3x + 3 = 33

7x + 12 = 33

7x = 21

x = 3

HJ= 4(3) + 9 = 12 + 9 = 21

JK= 3(3) + 3 = 9 + 3 = 12

Given:

The expression is [tex]10 - (-6)[/tex].

Sam's calculation is [tex]10 - (-6) = 10 + (-6) = 4[/tex]

To find:

Whether Sam's thinking correct or not.

Solution:

We have,

[tex]10 - (-6) = 10+6[/tex]       [tex][\because (-)(-)=(+)][/tex]

[tex]10 - (-6) = 16[/tex]

[tex]10 - (-6) \neq 4[/tex]

Therefore, Sam's thinking was incorrect.

On number first we have to move 10 units from 0 in positive direction after that negative sign means move in left direction.

But we have 2 negative signs so we need to move 6 units more on positive or right direct as shown below.

Answer:

149

Step-by-step explanation:

z = 7 and w = 10

Equation:

7z + 10w

Substitution:

49 + 100

Answer:

149

Hope this helps :)

The required value of the given expression at z = 7 and w = 10 is given as 179.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

here,
Given expression,
z = 7 and w = 10

Now put these values in the given expression,
= 7z + 10w

= 7 × 7 + 10 × 10
= 49 + 100
= 149

Thus, the required value of the given expression is given as 179.

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Answer:

00304761

Step-by-step explanation:

Answer:

85 degrees Fahrenheit

Step-by-step explanation:

Answer:

the answer is ab

Step-by-step explanation:

you should go to the x axis and go to the four then go up 7 and it should land on the line in between a and b

Let me know if this helps :)

Answer:

x=9   :))

Step-by-step explanation:

First set up your equation.

"3 times" is multiplication

"THE SUM of A NUMBER and seven" that is parenthesis because of the multiplication before it

"is increased by ten" that is an addition at the end

Now we have 3(x+7)+10=4

Solve your equation!

Distribute the 3 now we have 3x+21+10=4

Add like terms

now it should look like this... 3x+31=4

Subtract 31 from both sides and it looks like...

3x=27

Divide by the x-value

x=9

The value of the number will be -9.

What is an expression?

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

Given that;

The word expression is;

''Three times the sum of a number and seven is increased by ten, the result is four. ''

Now, Let a number be x.

Then, we can formulate the expression as;

3 (x + 7) + 10 = 4

Solve the expression for x as;

3 (x + 7) + 10 = 4

3x + 21 + 10 = 4

3x + 31 = 4

3x = 4 - 31

3x = -27

x = -9

Thus, The value of the number will be -9.

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Answer:

the answer for number 38 is H