Miguel and Bartholomew each have credit card debt. Miguel owes $2000 and makes a monthly payments, reducing his debt by $250 per month. Bartholomew owes $1500 and makes monthly payments, reducing his debt by $150 per month. Let m represent The number of months and b represent the balance on the credit card account in dollars. Write a system of 2 equations to represent this situation. When will Miguel and Bartholomew owe the same amount of money?

Answers

Answer 1

Answer:

Miguel:

b = 2000 - 250m

Bartholomew:

b = 1500 - 150m

When m = 5

Step-by-step explanation:

Let

m = The number of months

b = balance on the credit card account in dollars.

Miguel owes $2000 and makes a monthly payments, reducing his debt by $250 per month.

Miguel:

b = 2000 - 250m

Bartholomew owes $1500 and makes monthly payments, reducing his debt by $150 per month

Bartholomew:

b = 1500 - 150m

When will Miguel and Bartholomew owe the same amount of money?

Miguel balance = Bartholomew balance

2000 - 250m = 1500 - 150m

2000 - 1500 = -150m + 250m

500 = 100m

m = 500/100

m = 5 months


Related Questions

The figure below shows BT with point B at the intersection
of SW and RU
350
B 50°
W3
What is the measure of ZSBT?

Answers

Answer:

95

Step-by-step explanation:

The sum of any straight angle is 180 (Therom)

180 - (50 +35) =95

Simplify: [tex]\frac{\left(x^{\frac{5}{2}}\cdot 6y^2\cdot \sqrt[3]{y^4}\right)}{12x^{\frac{1}{2}}\cdot \sqrt[4]{x^3}}[/tex]

Answers

Answer:

[tex]\frac{1}{2} x^{\frac{5}{4} }y^{\frac{10}{3}}[/tex]

Step-by-step explanation:

[tex]\frac{x^{\frac{5}{2} }*6y^2*\sqrt[3]{y^4} }{12x^{\frac{1}{2}}*\sqrt[4]{x^3} } =[/tex] [tex]\frac{x^{ \frac{5}{2} }6y^2y^{ \frac{4}{3} } }{12x^{ \frac{1}{2} }x^{ \frac{3}{4} }} =[/tex][tex]\frac{1}{2} x^{\frac{5}{2} - \frac{1}{2} - \frac{3}{4}}y^{2+\frac{4}{3}}=[/tex][tex]\frac{1}{2} x^{\frac{5}{4} }y^{\frac{10}{3}}[/tex]

Can someone plz help me with this one problem plz!!!

Answers

Answer:

25 square inches

Step-by-step explanation:

Given,

Parallel sides of the trapezium = 3in, 7in

Height of the trapezium = 5in

Therefore,

Area of the trapezium

[tex] = \frac{1}{2} \times sum \: of \: parallel \: sides \times height[/tex]

[tex] = \frac{1}{2} \times (7 + 3)in \times 5in[/tex]

[tex] = \frac{1}{2} \times 10in \times 5in[/tex]

= 5in × 5in

[tex] = {25in}^{2} [/tex]

Hence,

Area if the trapezium is 25 square inches (Ans)

Can someone plz help me find the area for this composite figure ??? Plz

Answers

[tex]S_\square = 8 * 8 = 64\\S_\triangle = \frac{ah}{2} = \frac{8*3}{2} = 4 * 3 = 12\\S = S_\square - S_\triangle = 64 - 12 = 52[/tex]

Answer: 52.

please let me know if I did it good and lmk if I did anything wrong ( finding area )

Answers

well done you did amazing I will congratulate you with a slice of pizza

Plz help fast will mark brainliest!!!

Answers

The answer :9.1×10 ^3

If your good at math please help me with this question

Answers

Answer:

answer: 361.88

Hope that helps!

x-4 in word form
Please help it’s due today!

Answers

Answer:

x  minus four

Step-by-step explanation:

5.3x - 9 + 7.6x simplify pls

Answers

Answer:

12.9x-9

Step-by-step explanation:

add 5.3x and 7.6x

Answer:

12.9x-9

Step-by-step explanation:

First you have to combine the like terms which are 5.3x + 7.6x= 12.9x. Then you just rewrite the equation 12.9x-9. You just leave the 9 by it self because there's no other like terms.

More examples -

5.3x+−9+7.6x

Combine Like Terms:

=5.3x+−9+7.6x

=(5.3x+7.6x)+(−9)

=12.9x+−

Can someone help me with this?

Answers

Answer:

Step-by-step explanation:

We first need to figure out how much money Jackie has since Pilar has the same amount of money, but in different coins. Jackie has 24 dimes and 13 quarters, so the amount of money is $2.40 + $3.25 = $5.65; therefore, Pilar has $5.65 also. In order to determine how many nickels and quarters Pilar has, we have to have a system of equations. It's up to us to write the equations we need to solve this. The first equation has to do with the NUMBER of coins Pilar has, the second has to do with the VALUE of each coin. We know that Pilar has only nickels and quarters and that she has a total of 53 coins. So the NUMBER equation is

n + q = 53

The VALUE equation relates how much each coin is worth to the total amount of money it equals:

.05n + .25q = 5.65.

Go back to the first equation and solve it for either n or q. I solved it for n:

n = 53 - q

Plug this into the second equation in place of n now to get:

.05(53 - q) + .25q = 5.65 and

2.65- .05q + .25q = 5.65 and

.20q = 3 so

q = 15. This means that there are 15 quarters. If there are 15 quarters, then there are

n + 15 = 53 nickels and

n = 38 nickels.

What exactly does it mean when a question says "consecutive integers"?

Answers

Answer:

Consecutive integers are those numbers that follow each other. They follow in a sequence or in order. For example, a set of natural numbers are consecutive integers.

hope this helps

have a good day :)

Step-by-step explanation:

Find the volume and show work

Answers

Answer:

7234.56 km³

Step-by-step explanation:

Volume = 4/3(πr³)

Volume = 4/3(3.14 * 1728)

Volume = 4/3(5425.92)

Volume = 7234.56

Units = km³

7234.56 km³

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Central Angles and Arc Measures Practice

What is X?

Answers

Answer: [tex]5^{\circ}[/tex]

Step-by-step explanation:

Given

[tex]\angle DIE=(18x-2)^{\circ}\\\angle DIH=15^{\circ}\\\angle FIG=103^{\circ}[/tex]

from the figure

[tex]\angle HIE=\angle GIF\quad [\text{vertically opposite angles}]\\\angle HID+\angle DIE=\angle GIF\\15^{\circ}+(18x)^{\circ}-2^{\circ}=103^{\circ}\\(18x)^{\circ}=103^{\circ}-13^{\circ}\\\\x=\dfrac{90^{\circ}}{18}\\\\x=5^{\circ}[/tex]


Solve and graph.
k - 13 > -51

Answers

Answer:

The answer will be A k>-38

Select all expressions that are equivalent to
2x + 5(–4x + 10) - (x + 4).
Show your work in the sketch pad that supports your
answer.
(Select all that apply.)
27x + 54
-19x + 46
2x - 30x + 50 - x - 4
2x + 30x + 50 - x +4

Answers

2x + 5(–4x + 10) - (x + 4).

-4+10=14

x+4=5-9

2x+5=7x

7+9=18

18-14=4

4 is your answer

One angle of an isosceles triangle measures 138°. Which other angles could be in that isosceles triangle?

Answers

Answer:

2 21 degree angles

Step-by-step explanation:

An isosoles triangle has two congruent angles and every triangle's sum of interior angles equals 180 degrees. 138*2>180, so the 138 degree angle cannot be congruent to any of the other angles. Therefore:

180=138+2x

42=2x

21 degrees=x

make b the subject of the formula a=\sqrt(b+6)

Answers

Making 'b' the subject of formula gives b = a² - 6

How to determine the subject of formula

It is important to note that the subject of formula is described as a variable that is made up to stand alone in an equation.

The subject of formula is the variable that is worked out on on side of the equation sign.

From the information given, we have the equation;

a = [tex]\sqrt{(b + 6)}[/tex]

To make 'b' the subject of formula, we take the following steps;

Find the square of both sides, we get;

a² = [tex](\sqrt{(b + 6)} ^2[/tex]

Cancel out the square, we get;

b + 6 = a²

collect the other terms on one end of the equation, we have;

b = a² - 6

Hence, the equation is b = a² - 6

Learn more about subject of formula here:

https://brainly.com/question/10643782

#SPJ1

John is trying to convert an area from meters squared to millimeters squared. He multiplied the area he had by
1,000 and got the wrong answer. What should he have multiplied the original area by?

A) 100

B) 1,000

C) 1,000,000

D) 10​

Answers

I think it’s either 10 or 100 because a millimeter is 1 and how it’s not in the option it’s most likely one of those two you can decide on this part but I’m just tryin to help!

Answer:

1,000,000

Hope this helps <3

i'll mark as brainliest if it lets me;-;
please answer B. & C. with solution:)​

Answers

Answer:

B. AC = 22, BC = 22, AB = 44

C. AC = 30, BC = 30, AB = 60

Step-by-step explanation:

B.

[tex] radius \: \overline {OR} \perp chord \: \overline {AB} [/tex] at C. (given)

[tex] \therefore AC = BC[/tex] (perpendicular dropped from the center of the circle to the chord bisects the chord)

[tex] \therefore 2x - 6 = x + 8[/tex]

[tex] \therefore 2x - x= 6 + 8[/tex]

[tex] \therefore x= 14[/tex]

[tex] AC = 2x-6=2(14)-6=28-6= 22[/tex]

[tex] BC= x + 8=14 + 8= 22[/tex]

AB = AC + BC = 22 + 22 = 44

C.

[tex] radius \: \overline {OR} \perp chord \: \overline {AB} [/tex] at C. (given)

[tex] \therefore BC = AC[/tex] (perpendicular dropped from the center of the circle to the chord bisects the chord)

[tex] \therefore 7x-5=4x+10 [/tex]

[tex] \therefore 7x - 4x= 5 + 10[/tex]

[tex] \therefore 3x= 15[/tex]

[tex] \therefore x= \frac{15}{3}[/tex]

[tex] \therefore x= 5[/tex]

[tex] AC = 4x+10=4(5)+10=20+10= 30[/tex]

[tex] BC= 7x - 5=7(5)-5=35-5= 30[/tex]

AB = AC + BC = 30 + 30 = 60

Please help me!
describe the transformation for f(x)=[tex]\sqrt[3]{x}[/tex] to g(x)=[tex]-2\sqrt[3]{x} +4[/tex]

Answers

Step-by-step explanation:

transformation : f(x) --> g(x) = -2x + 4

PLEASE HELP!! NO LINKS!! GIVING 12 POINTS AWAY!!

Answers

hey good luck on ur assignment:)

Answer:

1.105°

2.35°

3.35,°

4.50°

Step-by-step explanation:

ito po yung answer ko sa assignment you sa Maka tulong

help me plsssssssss plsssssssssssssssssssss

Answers

Answer:

3 x 3^6

Step-by-step explanation:

I hope this helps >3.

Question :-

Which expression is not equal to the expression shown?

3³ ÷ 3⁻⁴

____________________

Solution :-

Given Information :-

Equation 1 ( question )➢ 3³ ÷ 3⁻⁴Equation 2 ( option 1 )➢ 3⁻³ ÷ 3⁴Equation 3 ( option 2 )➢ 3 × 3⁶Equation 4 ( option 3 )➢ 3⁷ ÷ 3⁰Equation 5 ( option 4 )➢ 3³ × 3⁴

To Find :-

Which expression is not equal to the expression shown.

Calculation :-

Let's first solve all the equations and then check which equation is not equal to equation given in question.

Solving Equation 1 ( question ) :-

⇒ 3³ ÷ 3⁻⁴ = 3³⁻⁽⁻⁴⁾

3³⁺⁴ = 3⁷ = 2,187

Solving Equation 2 ( option 1 ) :-

⇒ 3⁻³ ÷ 3⁴ = 3⁻³⁻⁴

3⁻⁷ = 0.000457

Solving Equation 3 ( option 2 ) :-

⇒ 3 × 3⁶ = 3⁷

3⁷ = 2,187

Solving Equation 4 ( option 3 ) :-

⇒ 3⁷ ÷ 3⁰ = 3⁷ ÷ 1

3⁷ ÷ 1 = 2,187

Solving Equation 5 ( option 4 ) :-

⇒ 3³ × 3⁴ = 3³⁺⁴

3⁷ = 2,187

From the calculation of above equations, We have found that only Equation 2 ( option 1 ) 3⁻³ ÷ 3⁴ is not equal to Equation 1 ( question ) 3³ ÷ 3⁻⁴

Therefore, 3⁻³ ÷ 3⁴ ≠ 3³ ÷ 3⁻⁴

Hence, Option 1 is the correct answer.

____________________

Final Answer :-

Option 1 ) ⟶ 3⁻³ ÷ 3⁴ is the correct answer.

____________________

can someone help me... thanks ❤️

Answers

Answer:

13m

Step-by-step explanation:

 

help, don't guess. tyyyy

Answers

Answer:

[tex]\huge{\textbf{\textsf{{\color{skyblue}{An}}{\blue{sw}}{\red{er}}{\color{red}{:}}}}}[/tex]

0 (zero)

Step-by-step explanation:

The 8-sided die has numbers less than 9. So, they can never be greater than 9.

A cyclist travels 5.8 km in 30 minutes.
What is his average speed in km/h?

Answers

Answer:

11.6km/h

Step-by-step explanation:

multiply 30 min by 2 to get to an hour

multiply 5.8 by 2 to get to km per hour

Answer:

average speed was 11.6 Kilometers per hour

Step-by-step explanation:

hope that helped

What is the sum of 0.5 and 0.3 ?

Answers

Answer:

0.8

Step-by-step explanation:

5 x 3 = 8 (Add the "0." at the end) That's all, hope it helped!

Answer:

The answer is 0.8. Think of it like a normal number.

Jason has x nickels and y dimes. He has no less than 15 coins worth a maximum of $1 combined. Solve this system of inequalities graphically and determine one possible solution.

Answers

Answer:

x + y > 15

10x + 5y < 100

we will put it in terms of y

y > 15 - x

and

5y < 100 - 10x

y < 20 - 2x

-TheUnknownScientist

the product of twice a number and one less than that same number

Answers

Answer:

(2n)*(n-1)

Step-by-step explanation:

The circumference of a circle is 17 π π in. Find its diameter, in inches

Answers

Answer:

r = 8.5 inches

Step-by-step explanation:

The circumference of a circle is given by

C = 2 * pi *r

17 pi = 2 * pi *r

Divide each side by 2 pi

17 pi / ( 2pi) = 2 * pi r/ ( 2 pi)

17/2 = r

8.5 = r

The answer is 8.5 inches.

What is the total area, in square meters, of the shaded sections of the trapezoid
below?
7 m
9.9 m
10 m
8.6 m

Answers

Answer:

84.5m would be the area

Step-by-step explanation:

7m, 10m = 35m

9.9m, 10m= 49.5m

35m + 49.5m+ 84.5m

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