Cecily is comparing two checking accounts. Checking account A has a monthly fee of $16 and a per-check fee of $0.08, while checking account B has monthly fee of $14 and a per-check fee of $0.12. She want to know how many checks she would need to write per month for the accounts to charge the same amount in fees.

Part 1: If x represents the number of checks Cecily writes per month, what expression represents the monthly fee in dollars charged by checking account A?

Part 2: What equation can be set up to solve for the number of checks Cecily would need to write per month for the accounts to charge the same in fees?

Answer:

-4

Step-by-step explanation:

The slope of the line given by the equation 2y + 8x = 6 is -4. This was found by converting the equation into slope-intercept form, y = mx + b.

To find the slope of the equation 2y + 8x = 6, we first need to convert it into slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept.

Therefore, the slope of the line is -4.

-3x + 6 = 2x - 24.

Add 3x to both sides.

6 = 5x - 24.

Add 24 to both sides.

30 = 5x.

Divide it all by 5.

x = 6.

Answer:

you put your divisor and add Dividend and see what that adds up to and get your answer

Step-by-step explanation:

Answer:

You add more 0

Step-by-step explanation:

Answer:

z = 62

y = 117

Step-by-step explanation:

Z

118 and z are supplementary.

z + 118 = 180 Supplementary angles add to 180. Subtract 118 from both sides.

z = 180 - 118  Do the subtraction        

z = 62            Answer

Y

The interior angles of all quadrilaterals (convex) add up to 360 degrees.

y + z + 84 + 97 = 360           Given

62 + y + 84 + 97=360          Add

y + 243 = 360                       Subtract 243 from both sides

y = 360 - 243                        combine

y = 117                                    Answer  

Answer:14

Step-by-step explanation:

(4)(5)−6

=14

Answer:

[tex]x^3-x^2(4+i\sqrt{3} )+x(5+i2\sqrt{3} )-(2+i\sqrt{3} )=0[/tex]

Step-by-step explanation:

We have given that this polynomial has the given zeroes of 1, 1, and [tex]2+i\sqrt{3}[/tex], we can express the polynomial in a factored form where each zero has the form x-a (where a is our zero):

polynomial= [tex](x-1) (x-1) (2+i\sqrt{3})[/tex]

                  =[tex](x^2+1-2x) (2+i\sqrt{3})[/tex]

                   =[tex]x^3-x^2(4+i\sqrt{3} )+x(5+i2\sqrt{3} )-(2+i\sqrt{3} )=0[/tex]

Average rate of change formula:

[tex]\dfrac{\Delta y}{\Delta x}[/tex]

[tex]\Delta y=6-1=5\\\\\Delta x=4.95-0.40=4.55[/tex]

[tex]\dfrac{\Delta y}{\Delta x}=\dfrac{5}{4.55}=\dfrac{500}{455}=\dfrac{100}{91}\approx1.1[/tex]

Answer: Yes

Step-by-step explanation:

When two triangles are congruent they will have exactly the same three sides and exactly the same three angles. The equal sides and angles may not be in the same position (if there is a turn or a flip), but they are there.

Answer:

4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48

Step-by-step explanation:

4*1 = 4

4*2 = 8

4*3 = 12

and so on...

Answer:

4,8,12,16,20,24,28,32,36,40,44, and 48

Step-by-step explanation:

Answer:

Step-by-step explanation: The reason is is because when adding and subtracting integers, you flip the operation sign that will be used to solve the problem.So when you flip the sign of this equation, you subtract. So that's how your answer was 11/17. Also it is positive because the biggest number is positive so that is what the solution will be.

Please mark brainliest!!!!!!

Answer:no it is not reasonable

Step-by-step explanation: take the Max average number and multiply it by six, it only reaches 10.26

John's estimation of 28 units of electricity usage for the six houses on Philips Road is considered reasonable since it falls within the calculated possible range of 18.96 to 40.08 units.

To verify John's estimate, we need to consider the maximum and minimum electricity usage for the houses based on their given range of usage and time. On the high end, each house could use 1.71 units for 4 hours, which gives a total of 6.84 units per house.

Therefore, the total usage for all six houses would be 40.08 units (6 x 6.84 = 40.08). On the low end, each house could use 1.58 units for 2 hours, amounting to 3.16 units per house. The total for all houses would then be 18.96 units (6 x 3.16 = 18.96). Given this, John's estimate of 28 units falls within this range and can be considered reasonable.

https://brainly.com/question/35336202

#SPJ3

Answer:

y < 1

Step-by-step explanation:

8y - 5 < 3

To solve this inequality,  add 5 to both sides.

8y - 5+5< 3+5

8y < 8

Divide by 8 on both sides

8y/8 < 8/8

y <1

Answer:

D

Step-by-step explanation:

The pentagon has 5 interior angles that add up to 360. To find the angle of rotational symmetry, divide 360 by 5 (you get 72). So if you rotated the shape 72 degrees, it will map onto itself. 72 times 2 is 144, and that's rotating the shape 72 degrees twice, so it will stay the same.

A mathematical transformation that carries a pentagon onto itself is a rotation by 72 degrees or a multiple of 72 degrees, which are the internal angles of a regular pentagon.

The question is referring to certain mathematical transformations that can be applied to shapes, specifically a pentagon. A transformation that will carry a shape onto itself, maintaining its form, is a symmetry operation. For a pentagon, one of these transformations could be a rotation. For example, if you rotate the pentagon 72 degrees or a multiple of 72 degrees (such as 144, 216, 288 degrees, etc.), it will land on itself because 72 degrees represents each internal angle of a regular pentagon.

https://brainly.com/question/11709244

#SPJ2

Answer:

the amount of money you can spend on the drink is no more than 3.25

Step-by-step explanation

total is greater than/equal to cost of book plus cost of drink

10>/=6.75+x (x represents the drink)

x</=3.25

Answer: 10.00-6.75=find out yourself, EASY

Step-by-step explanation:

Since you have 10 dollars and you find a book and a cold drink for all 6.75

you will need to subtract the numbers to find your answer

Answer:

Step-by-step explanation:

First you have to subtract 59$ from 61.36 which will give you 2.36.Then you have to multiply 0.02 to 59 which equals 1.18.Then you multiply 0.04 by 59 which will give you the answer.Hope this helps!!!Your answer should be 0.04!!!Please Mark brainliest!!!!!

To find out the sales tax percentage, first find the amount paid in taxes by subtracting the original price from the total price. Then divide this tax amount by the original price and multiply by 100 to get the percentage, which is 4% in this case.

To determine the sales tax percentage charged on the coffee table, we first calculate the total amount of sales tax paid. We subtract the original price of the table ($59) from the total amount paid with tax ($61.36) to find the amount of tax paid.

$61.36 - $59.00 = $2.36

Now, we'll convert the sales tax into a percentage of the original price. We do this by dividing the sales tax amount by the original price and then multiplying by 100 to get the percentage.

$2.36 ÷ $59 = 0.04 (rounded to two decimal places)

0.04 × 100 = 4%

Therefore, the sales tax percentage on the coffee table is 4%.

https://brainly.com/question/18375545

#SPJ2

A function is a law that tells you how to associate inputs (x values) and outputs (y values).

In the case of constant functions, it doesn't matter which input you choose, the ouput must always be the same.

So, a constant function has always the same output (y values) for every input (x values) you feed.

Answer:

Step-by-step explanation:

A constant function refers to those functions that only have one variable, which is constant. For example, x=2, y=4, x=-1, are constant function, because they don't variate.

From the given tables, the third and last choices are constant function, because you can observe that one variable doesn't variate. The third function has y=3 as the constant value, and the last table has y=-1 is the constant function.

Therefore, the right choices are third and last table.

Answer:

multiplication property of inequality

Step-by-step explanation:

-1/3 x - 2/3 ≥ 7x+3

We can multiply by 3 on each side to clear the fraction by the Multiplication property of inequality

Since c>0

and a≥b

ac ≥ bc

QUESTION 1

The point  C(3.6, -0.4) divides AB in the ratio 3 : 2.

The coordinates of A are (-6, 5).

Let the coordinates of B be [tex](x_2,y_2)[/tex]

We use the formula:

[tex]x=\frac{mx_2+nx_1}{m+n}[/tex] to determine the x-coordinate of B.

We substitute the known values to obtain:

[tex]3.6=\frac{3x_2+2(-6)}{3+2}[/tex]

[tex]3.6=\frac{3x_2-12)}{5}[/tex]

[tex]3.6\times 5=3x_2-12[/tex]

[tex]18=3x_2-12[/tex]

[tex]18+12=3x_2[/tex]

[tex]30=3x_2[/tex]

This implies that:

[tex]x_2=10[/tex]

We also use the formula:

[tex]y=\frac{my_2+ny_1}{m+n}[/tex] to find the y-coordinate.

[tex]-0.4=\frac{3y_2+2(5)}{3+2}[/tex]

[tex]-0.4=\frac{3y_2+10}{5}[/tex]

[tex]-0.4\times 5=3y_2+10[/tex]

[tex]-2-10=3y_2[/tex]

[tex]-12=3y_2[/tex]

[tex]-4=y_2[/tex]

The coordinates of B are (10,-4)

QUESTION 2.

If point D divides CD in the ratio 4 : 5.

Then the coordinates of D are:

[tex](\frac{4(10)+5(3.6)}{4+5}, \frac{4(-4)+5(-0.4)}{4+5})[/tex]

[tex](\frac{58}{9}, \frac{-18}{9})[/tex]

The coordinates of D are [tex](\frac{58}{9}, -2)[/tex]

Answer:

f is a line through 0 and (2,3)

g is a line through 0 and (3,2)

Step-by-step explanation:

f and g are proportional linear functions. They each have the form y=mx+b where b=0 and m is a fraction. The m or slope tell us the form the function takes on the graph. It is a straight line through 0 with steepness m.

[tex]f(x)=\frac{3}{2} x[/tex] has steepness 3/2. Starting at (0,0) or the origin, move up three grid lines on the y-axis and then over 2 grid lines. Mark your point at (2,3). Then connect and draw arrows on the end.

[tex]g(x)=\frac{2}{3}x[/tex] has steepness 2/3. Starting at (0,0) or the origin, move up two grid lines on the y-axis and over 3 grid lines. Mark your point at (3,2). Then connect and draw he arrows on the end.

Answer:

The graphs are reflections of each other over the y-axis. The graph of g(x) shows exponential decay, while the graph of f(x) shows exponential growth.

Step-by-step explanation:

Answer:

[tex]x^{2} -2x-3 or the factored form (x+1)(x-3)[/tex]

Step-by-step explanation:

p(x) -q(x)=

[tex]x^{2} -x-6-x+3\\=x^{2} -2x-3[/tex]

Answer:

C  PLEASE GIVE BRAINLIEST

Step-by-step explanation:

218.97 + 303.47 + 77.78 = $600.22

600.22 x .10 = 60.02 (amount of discount)

600.22 - 60.02 = $540.20 (amount he owes)

Answer is C

Answer:The answer should be D

Step-by-step explanation:

Answer:

60% of 30 is 18 and 40% of 30 is 12

18 x 12 = 216

12 x 10 = 120

216 + 120 = 336

Step-by-step explanation:

Answer: IN ORDER: 18,12,216,120,336

Step-by-step explanation: Got it right on TTM

Answer:

[tex]72^{\circ}[/tex] is the measure of the smallest angle in the hexagon.

Step-by-step explanation:

As, we know that the sum of all the angles is 720 degrees.

Given: The measures of the angles of the hexagon are in the extended ratio 4 : 5 : 5 : 8 : 9 : 9.

Let  x  be the number used to simplify the size of each angle.

Sum of all the measure angles is 720 degrees

⇒[tex]4x+5x+5x+8x+9x+9x = 720^{\circ}[/tex]

Combine like terms;

[tex]40x = 720^{\circ}[/tex]

Divide both sides by 40 we get;

[tex]x = \frac{720}{40} = 18[/tex]

The measure of angles are:

[tex]4x = 4 \times 18 = 72^{\circ}\\5x = 5 \times 18 = 90^{\circ}\\5x = 5 \times 18 = 90^{\circ}\\8x = 8 \times 18 = 144^{\circ}\\9x = 9 \times 18 = 162^{\circ}\\9x = 9 \times 18 = 162^{\circ}[/tex]

Therefore; the measure of the smallest angle in the hexagon is, [tex]72^{\circ}[/tex]

Answer:

8/30 (Simplified answer: 4/15)

Step-by-step explanation:

Find common denominators. Note the what you do to the denominator, you do to the numerator.

Multiply 10 to both the denominator & numerator of 2/3, and multiply 3 to both the denominator & numerator of 4/10

(10/10)(2/3) - (3/3)(4/10)

Simplify.

(20/30) - (12/30)

Simplify. Combine the terms

(20/30) - (12/30) = (20 - 12)/30 = 8/30

Simplify the fraction

(8/30)/(2/2) = 4/15

~