Bella and Justin went to the bank to open new checking accounts. The equation C=0.1n+1.50 represents the monthly cost, C, in dollars, where n is the number of checks written by Bella. In Justin’s account, the monthly cost is proportional to the number of checks written. The monthly cost for Justin’s account is $1.20 for writing 3 checks. How many checks must Bella and Justin write, if any, so that the cost of the accounts is the same for one month? What is the cost, if any?



If Bella and Justin write
checks, it will cost them both $
for one month.

Answers

Answer 1

The cost would be the same for Justin and Bella if 500 checks are sold, costing about $200.

What is an equation?

An equation is an expression that shows the relationship between two or more variables and numbers.

Given the equation for Bella:

c = 0.1n + 150

Where C is the monthly cost for n checks.

For Justin:

1.2 = 3k

k = 0.4

C = 0.4n

To have the same cost:

0.1n + 150 = 0.4n

n = 500

c = 0.4(500) = 200

The cost would be the same for Justin and Bella if 500 checks are sold, costing about $200.

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Related Questions

What type of triangle is a 30, 40, 50

Answers

Answer:

Pythagoras's Theorem states that the square of the length of the hypotenuse of a right-angled triangle is equal to the sum of the squares of the lengths of the other two sides. Actually a 30 , 40 , 50 triangle is just a scaled up 3 , 4 , 5 triangle, which is a well known right angled triangle

Step-by-step explanation:

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9. Find the area of the figure.
What is the answer

Answers

Answer:

73.12 in.²

Step-by-step explanation:

The entire area is made up of a semicircle and a rectangle. We find both areas and add them.

total area = area of semicircle + area of rectangle

total area = (1/2)πr² + length × width

total area = 1/2 × 3.14 × 4 in. × 4 in. + 8 in. × 6 in.

total area = 73.12 in.²

Find the measure of arc RPQ.

Answers

Answer: 227 degrees

Step-by-step explanation:

please help me ASAP please help me with my homework please solve this please both Problem A and B please I beg you​

Answers

Answer:

A.

1. x = -5

2. x = -1

3. x = -2

4. x = 25/9

5. x = 1

B.

1. x ≤ 2

2. - 3≤ x ≤ 6

3. x ≤ 2

4. x ≤ 33/2

5. x ≤ 17/3

Step-by-step explanation:

Brainliest me please I answer it!!

A.

1. 5x + 12=2x-3

5x-2x= -12-33x/3= -15/3x = -5

2. 3x+6= -2x+1

3x+2x= -6+15x/5= -5/5x= -1

3. (x/2-4x=7)x2

2(x/2) - 2(4x)=7x2x-8x=14-7x/-7=14/-7x= -2

4. 1.4x - 0.4x=6.2+3.8

1x/1=10/1x=10

5. 5x-10+2x=7x+28-38

5x+7x-10=7x+28-3812x-10=7x+28-3812x-7x=28+10-385x=38-385x/5=0/5x=0

B.

1. 2x/2 ≤ 4/2

x=2

2. 2x+3 > -3

2x+3< 15

x= -3x= 6X=(-3,6)

3. 5x-4 >6

5x>6+45x/5 >10/5x >2

4. (2x./3+1/2>x-5)x6

6(2x/3)+6(1/2) > 6(x-5)4x+3 > 6x-304x-6x>-30-3-2x/-2 > -33/-2x< 33/2

5. 0.8+0.6x ≥4.2

0.6x≥4.2-0.80.6x/0.6 ≥3.4/0.6x= 5.666666667

Which line has a slope of -3?
y= 4x + 3
y= 3x - 3
y=-3x+1
y=-2x - 3

Answers

Answer:

y= 4x + 3

Step-by-step explanation:

mark me brainliest!

brainliest for free if you can solve this equation 3+5 +7 -6 ​

Answers

Answer:

The answer is

9

Step-by-step explanation:

[tex]3+5+7-6=9[/tex]

Therefore, 9 is your answer.


Find the zeros of the function f (x) = 4x^2-16

Answers

Answer:

x=-2

x=2

Step-by-step explanation:

We can think of this equation like a statement

"4 times what squared minus sixteen is equal to zero"

First, we need to rearrange the equation:

[tex]4x^2=16[/tex]

Now using our common knowledge, we know that 4 times 4 is equal to 16

now we have another statement:

"x times x is going to be equal to 4"

*Remember that the two numbers have to be the same since x is squared*

Again, we can use common knowledge and say that 2x2 is equal to 4

This means that x=2

Now when you square a variable, the variable can have to values, a positive, and a negative value

So in this case, the other value for x would be x=-2 since -2 squared is also equal to 4

So we can come to a conclusion that

x=2

AND

x=-2

The circumference of a circle is 7.5. What is it’s diameter?

Answers

For ALL circles the circumference (call it ‘C’) is equal to Pi x diameter (call it ‘d’),

so C = Pi x d

But we are told that C = Pi x 7.5

So Pi x d = Pi x 7.5

If we divide both sides of this equation by Pi, we are left with the equation d = 7.5, which is the answer.

ANSWER: The length of the diameter of the circle is 7.5 units of length.

HELPPPP

F(x)=-x^2-3x+1

The quadratic function, f(x )or g(x) has the greater maximum value ??

Answers

Answer:

The quadratic function, f(x) has the greater value.

Step-by-step explanation:

The given function written to us is in standard form, meaning it is easy to graph this function.

Since this function is going to open down-ward, we start with negative numbers.

[tex]f(-1)=3\\[/tex]

Since 3 is a greater value than 2, which we can see is the maximum value of g(x) by viewing the graph, f(x) is greater.

If you are researcher how would you make sure that the result or outcome of your study will be accurate and precise?​

Answers

Answer:

Keep all variables (temperature, place, lighting, etc.) constant other than the variable being tested.

Do the test multiple times. The variations must be small.

keep everything calibrated (marked)

record measurement correctly with the correct units

Step-by-step explanation:

need help can anyone help

Answers

Answer:

1: 23

2: 15/3 which reduces to 5

3:  12/4 which reduces to 3

Step-by-step explanation:

used a calculator

Find the hypotenuse round to the nearest hundredth

Answers

Answer:

8.94

Step-by-step explanation:

hypotenuse=h

h=4^2+8^2

h=16+64

h=80

h=√80

h=8.94

Answer:

Step-by-step explanation:

[tex]hypotenuse=\sqrt{4^2+8^2} =\sqrt{16+64} =\sqrt{80}\approx 8.94[/tex]

What is the perimeter of a triangle with vertices at (2, 3) (4, -1) and (-1, -5)?

Answers

Answer:

Step-by-step explanation:



The there angles in a triangle ge in the ratio
of 2.4.6. Find the measure of
and hence state the type of triangle.
of each angle

Answers

Answer:

Step-by-step explanation:

Britney is buying a shirt and a hat at the mall. The shirt costs $31.99, and the hat costs $19.89. If Britney gives the sales clerk $100.00, how much change should she receive? (Ignore sales tax.)

A. $45.02
B. $57.87
C. $48.12
D. $51.88

Answers

Answer:

C

Step-by-step explanation:

100-31.99-19.89=48.12

There are 16 girls in the
class. This represents 20%
of the class. How many
total students are there

Answers

Answer:

80 total students

Step-by-step explanation:

hope this helps!

Answer:

80

Step-by-step explanation:

If 16 is %20 then it represents 1/5 of the class. Multiply 16 x 5 = 80


Daina gives of his money to Carol. Carol gives of this money to Zak.
What fraction of Daina's money does Zak get?

Answers

Step-by-step explanation:

yo question doesn't make sense.

Sarah has two sets of cards. The first set of 26 cards is labeled with all the letters of the English Language. The second set of 10 cards is numbered 0 through 9.
If Sarah draws one lettered card and one numbered card at random, what is the probability of her drawing a letter in her name and an odd number? (Enter answer as a reduced fraction).

Answers

Answer:

1/13

Step-by-step explanation:

Probability of Sarah drawing a letter in her name

= number of letters in her name: S, A, R and H / total number of letters

= 4/26

Probability of drawing an odd number

= odd numbers / total numbers

= 5/10

Combining the above, Probability of her drawing a letter in her name and an odd number = 4/26 * 5/10

= 1/13

Total Alphabetical cards Sarah has ⇢ 26

Total Letters Sarah's name has ⇢ 4

Probability of getting a card with one of the letter in her name ⇢ 4/26

Total numerical Cards Sarah has ⇢ 10

Total odd numbers in those cards⇢5

Probability of getting a card with an odd number⇢ 5/10

probability of her drawing a letter in her name and an odd number⇢ 4/26 x 5/10 = 1/13

please help me again I have 2 tries again please and explain, please

Answers

Answer:

8

Step-by-step explanation:

→ Find width of first painting

48 ÷ 6 = 8

→ Find length of second painting

64 ÷ 8 = 8

45:60 as its simplest form

Answers

Answer :

3/4.

Explanation

Find the GCD (or HCF) of numerator and denominator

GCD of 45 and 60 is 15

Divide both the numerator and denominator by the GCD

45 ÷ 15

60 ÷ 15

Reduced fraction: 3/4

Therefore, 45/60 simplified to lowest terms is 3/4.

Hi! I hope you are enjoying your day!

In order to simplify this ratio (and 45:60 is a ratio), we should divide both sides of the ratio by 5 (because both 45 and 60 are evenly divisible by 5)

Divide:

9:12

Is the ratio in its simplest form? No.

Why?

Because 9 and 12 can be divided by 3:

3:4

Now the ratio IS in its simplest form.

Hence, the answer is

[tex]\boxed{\boxed{\bold{3:4}}}[/tex]

Hope everything is clear.

If you have any questions, please comment.

#LearningIsFun

1 gram of sugar costs 5400
how much would 1 ton cost?

Answers

Answer:

5400000000

Step-by-step explanation:

1gram=5400

1kg=5400*1000 (1kg=1000gm)

=5400000

1quntal=5400000*100 (1quntal=100kg)

=540000000

1ton=540000000*10 (1ton=10 quntal)

=5400000000

Need help on this question ASAP pleasee and thank you (:

Answers

Easiest way to understand it is like this x^1/3 is the same as cube root(x)
So in this case: cube root(4) * cube root (16)
Now with radical rule we can combine 4 and sixteen under the same cube root.
So: cube root (4*16)
Or cube root (64)
And simplify = 4
Because 4^3 = 64

What’s this answer?

Answers

5 and 11/12 is the answer

Answer:

175/24

Step-by-step explanation:

First change mixed fraction to improper fraction.

1¾= (1×4+3)/4

= 7/4

4⅙= (4×6+1)/6

= 25/6

now multiply the nominators (numbers on the top) and then the denominators (numbers on the bottom)

I.e

7/4 × 25/6

= 7×25/4×6

= 175/24

it cannot be further simplified so 175/24 is the answer.

Characteristics of Polynomials

Answers

d.) A polynomial cannot have a variable in the denominator.
A polynomial consists of constants, variables and exponents. Polynomials are named based on the number of terms they have. Polynomials with 1 term are called monomials. Those with 2 terms are called binomials, and the ones with 3 terms are called trinomials.


Brainlest pls.

- 1/3(6x+18)=10
Help me find the answer before 7:40

Answers

Answer:

x = -8

Step-by-step explanation:

[tex]-\frac{1}{3}\left(6x+18\right)=10[/tex]

[tex]\mathrm{Multiply\:both\:sides\:by\:}-3[/tex]

[tex]\left(-\frac{1}{3}\left(6x+18\right)\right)\left(-3\right)=10\left(-3\right)[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]6x+18=-30[/tex]

[tex]\mathrm{Subtract\:}18\mathrm{\:from\:both\:sides}[/tex]

[tex]6x+18-18=-30-18[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]6x=-48[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}6[/tex]

[tex]\frac{6x}{6}=\frac{-48}{6}[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]x=-8[/tex]

~Learn with Lenvy~


Put the following equation of a line into slope-intercept form, simplifying all
fractions.
12y - 9x = -36

Answers

The answer is going to be y=3/4x-3
y=3/4x−3
Is the correct answer

Find the area of the missing square off of leg a if the area of one square is 369 and the area of another is 81.


A - 19.2
B - 144
C- 12
D- 288

Answers

Solution:

Note that:

Area of square = s² (s = Side length)

Finding the leg of a square with area of 369 units²

c² = 369=> c = √369 units

Finding the leg of a square with area of 81 units²

b² = 81=> b = √81 = 9 units

Finding side length a using Pythagoras theorem

(√369)² = 9² + a²=> 369 = 81 + a²=> 369 - 81 = a²=> 288 = a²=> a = √288 = √144 x 2 = √12 x 12 x 2 = 12√2 units

Finding the missing area of the square.

Area of square = a²=> Area of square = a² = (a)²=> Area of square = (12√2)²=> Area of square = (12√2)(12√2) = 288 units²

Option D is correct.

Which can be the first step in finding the equation of the line that passes through the points (5, negative 4) and (negative 1, 8) in slope-intercept form?
Calculate StartFraction 8 minus (negative 4) Over negative 1 minus 5 EndFraction = StartFraction 12 Over negative 6 EndFraction = negative 2..
Calculate StartFraction negative 1 minus 5 Over 8 minus (negative 4) EndFraction = StartFraction negative 6 Over 12 EndFraction = negative one-half..
Find that the point at which the line intersects with the line y = 0 is (3, 0).
Find that the point at which the line intersects with the line x = y is (2, 2).

Answers

Answer:

Step-by-step explanation:

its A :)

Answer= y=2x+6

The slope-intercept form of an equation of a line: y=mx+b

m - slope

b - y-intercept

We have the points (5, -4) and (-1, 8). Substitute:

m= [tex]\frac{8-(-4)}{-1-5}[/tex] =[tex]\frac{12}{-6}[/tex] =-2

Put the value of the slope and the coordinates of the point (5, -4) to the equation of a line,

-4=-2(5)+b

=-10+b

6=b

y=2x+6

The total remodeling budget for Central Square Tower is 1.5×106 dollars. The owners of the building have set aside 6×105 dollars for upgrading just the lobby. What percent of the budget will be spent on the lobby? Write your answer in standard form. Do not write exponents.

Answers

Answer:

40%

Step-by-step explanation:

assuming you actually mean 10^5 and 10^6, to find percentages you do

part/total x percent/100

you have (6x10^5/1.5x10^6) x (x/100)

cross multiply, and you have 6x10^7=1.5x10^6x

divide on both sides by 1.5x10^6

x=40

so the answer is 40%

What is the circumcenter of ΔABC, if A(-7, 3); B(9, 3); and C(-7, -7)?

Answers

Answer: (1,-2)

Step-by-step explanation:

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