Tavon has a gift card for $110 that loses $2.50 for each 30-day period it is not used. He has another gift card for $90 that loses $2 for each 30-day period it is not used.
a. Write and solve an equation for the number of 30-day periods until the value of the gift cards will be equal.
b. What will the value of each card be when they have equal value?
Answers
30 day period
The first equation is 50 - 2x (because you start with $50 and subtract 2 for each 30 day period)
The second equation is 40-1.5x
Set them equal to each other: 50 - 2x = 40 - 1.5x
Solve for x:
50 - 2x = 40 - 1.5
+2x +2x
50 = 40 + 0.5 x
-40 -40
-------------------
10 = 0.5 x
20 = x
So there will be 20 30-day periods until the cards will be equal in value.
Check: After 20 periods, 50 - 2(20) = $10 left
40 - 1.5(20) = also $10 left
The equations are y = 110 - 2.5x and y = 90 - 2x. Then the value of each card, when they have equal value, will be $10.
What is a linear equation?A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
Let x be the number of days and y be the value of the card.
Tavon has a gift card for $110 that loses $2.50 for each 30-day period it is not used. He has another gift card for $90 that loses $2 for each 30-day period it is not used. Then the equations will be
y = 110 - 2.5x ...1
y = 90 - 2x ...2
From equations 1 and 2, we have
110 - 2.5x = 90 - 2x
20 = 0.5x
x = 40
And the value of y will be
y = 110 - 2.5(40)
y = 110 - 100
y = $10
The equations are y = 110 - 2.5x and y = 90 - 2x. Then the value of each card, when they have equal value, will be $10.
More about the linear equation link is given below.
https://brainly.com/question/11897796
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Related Questions
why is -7 an integer but not a natural number?
Answers
Answer:
Natural Numbers are basically "counting numbers". If I ask you to start counting, you'll start at 1, then 2, then 3, and so on. It doesn't include 0 or any negative numbers because you wouldn't start from -10 when asked to count.
brainliest is appreciated :)
Answer:
-7 is negative so it cannot be a natural number, but it is an integer. An integer is a whole number, this means that it does not have any decimal places or fractions. However, a natural number must be a whole non-zero number and positive. This is because natural numbers are numbers found naturally in measurements or in counting. Additionally, all natural numbers are integers but not all integers are natural numbers. For example, -3 would be an integer, 9 would be an integer and a natural number, and 7.6 would be neither.
Write the given phrase as an algebraic expression Use the variable x to represent each unknown number A number divided by eleven
The answer is:
Answers
Answer:
[tex]x\div 11[/tex]
Step-by-step explanation:
Hi there!
Let [tex]x[/tex] be equal to "the number".
A number is divided by eleven
⇒ [tex]x\div 11[/tex]
I hope this helps!
Joanne a total score for a round of darts was -42 she had thrown 6 darts and scored the same each throw How many points did Joanne score on each throw
Answers
Answer:
7
Step-by-step explanation:
Answer:
7
Step-by-step explanation:
Ok, so we know 42 is the number of points added up, and we know that she threw 6 darts all scoring the same. Now, all we have to do is figure out what number(for example x) multiplied by 6 equals 42. Or in the form of an equation:
6x = 42
Now, to finish the equation, all we have to do is divide:
6x/6 = 42/6
42/6 = 7
x = 7
*need answer asap*
A student performs several experiments in which he swings a pendulum for a 20 second duration. He uses a string that is 27 cm long, and he test pendulum masses of different sizes, varying from 2 to 12 grams. He records the number of swings each pendulum makes in 20 seconds.
The student then decides to make a second graph showing the string length (in cm) as the independent quantity. What change must the student make to his experiment?
Answers
The students must make use of varying string lengths in his experiment in other to make string length the independent quantity.
In the first first scenario,
The number of swings made by each pendulum is the dependent variable, as it is the variable which is measured in the experiment. While ;
The different pendulum masses tested are the Independent variable as it is the variable which is manipulated in other to cause changes to the measured variable.
In other make the string length the independent quantity, the student will need to use strings of different length and not just a string of 27 cm in other to be used as the independent variable. This will enable manipulation of the independent quantity to other to cause changes to the measured variable.
Learn more: https://brainly.com/question/1479694
Ruth borrowed a book from the library. The library charged a fixed rental for the book and a late fee for every day the book was overdue. The expression below shows the chargesRuth paid for the book when she returned it x days after the due date: 2 + 0.25x what does the second term of expression represent?
Answers
Answer:
The late fee per day for the book
Step-by-step explanation:
2 + .25x
The 2 is the fixed rental for the book
.25x is the late fee per day where .25 is the charge per day and x is the number of days
number 2 please help
Answers
Answer:B
Step-by-step explanation:The negative sign represents fraction that is (one over)
Identifique el error cometido en cada operación y corríjalo
a. |– 170| • 10 = – 1700 Corrección:
b. (18 + (– 20)) • 10 = – 380 Corrección:
c. 0 • (–45) = –45 Corrección:
Answers
Hey yall I need help right now I don't feel well. I'm giving 30 points for this.
How do you simplify _/(square root) of 150 x(to the tenth power)y(to the 13th power)
Thanks. Sorry I couldn't write it out my dual enrolling class doesn't lemme copy.
Answers
How do you solve this and method do you use?
Answers
Answer: B. 3x (1 - 3x²)
Step-by-step explanation:
Given
[tex]\frac{9x^4-27x^6}{3x^3}[/tex]
Factorize the numerator
=[tex]\frac{3x^3*3x-3x^3*9x^3}{3x^3}[/tex]
=[tex]\frac{9x^4(3x-9x^3)}{3x^3}[/tex]
Cancel terms in numerator and denominator
=[tex]\frac{3x(1-3x^2)}{1}[/tex]
=[tex]\boxed {3x(1-3x^2)}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
I need help to find out what is 3 divided by 1722
Answers
Hope this helps *smiles*
Answer:
0.00174216027
Translate the sentence into an equation.
Six less than the product of 7 and a number is 8.
Use the variable y for the unknown number.
Answers
(7 + y) - 6 = 8
If you also need the correct number its 7
(7 + 7) - 6 = 8
hi please help me with my math homework
Answers
9514 1404 393
Answer:
-2 7/8
Step-by-step explanation:
The usual recommendation is to convert the mixed numbers to improper fractions before multiplying.
[tex]-2\dfrac{5}{9}\times1\dfrac{1}{8}=-\dfrac{9\cdot2+5}{9}\times\dfrac{8\cdot1+1}{8}\\\\=-\dfrac{23\cdot9}{9\cdot8}=-\dfrac{23}{8}=\boxed{-2\dfrac{7}{8}}[/tex]
__
Note the factors of 9 cancel in the first expression on the last line, leaving -23/8.
Answer:
[tex]\frac{23}{8}=2\frac{7}{8}[/tex]
Step-by-step explanation:
[tex]-2\frac{5}{9}\times \:1\frac{1}{8}[/tex]
Step 1: Convert into an improper fraction
[tex]2\frac{5}{9}=\frac{2\times 9+5}{9}\\\\=\frac{23}{9}[/tex]
[tex]-\frac{23}{9}\times \:1\frac{1}{8}[/tex]
[tex]1\frac{1}{8}=\frac{1\times 8+1}{8}\\\\=\frac{9}{8}[/tex]
[tex]-\frac{23}{9}\times \frac{9}{8}[/tex]
Step 2: Cross-cancel 9
[tex]=-\frac{23}{8}[/tex]
Step 3: Convert to an improper fraction
[tex]\frac{23}{8}=2\frac{7}{8}\\\\2\frac{7}{8}[/tex]
210 oranges, 252 apples and 294 pears are equally packed in cartons so that no fruit is left. What is the biggest possible number of cartons needed?
i also want explanation to pls
Answers
Answer:
∴ The greatest number that divides 210, 252 and 294 is 42.
Step-by-step explanation:
We have to find the LCM of the given rows 12, 15 and 40. (Taking Highest Powers). Therefore, least number of saplings that can be arranged in given rows are 120.
Solve for A if
T = 3.14 and r = 3.
A = ar2
Enter the number that belongs in the green box
A = [?]
Answers
Answer:
28.26 is the correct answer
Use a two column proof to prove the following.
Given: 5(m - 6) = 5(7m = 6)
Prove: m = 0
pls help
Answers
Step-by-step explanation:
[tex]5(m - 6) = 5(7m = 6)[/tex]
[tex]5m - 30 = 35m - 30[/tex]
[tex]5m = 35m[/tex]
[tex]30m = 0[/tex]
[tex]m = 0[/tex]
branliest for whoever answers right
Answers
Answer:
Q (8, 8)
R (5, 8)
S (9, 5)
Step-by-step explanation:
remember (-x, -y)
for a 180 rotation, just switch the signs of both sides of your ordered pair
Which one describes the algebraic expression for the phrase, "eight more than twice a number"?
O (2n)(8)
O 2n + 8
O 2 + 8n
O 2n - 8n
Answers
Answer:
2n+8
Step-by-step explanation:
"eight more than twice a number" so twice a number would be 2n because its 2×n (double/twice a number) and eight more would be +8
help :( i need help with 1b
Answers
Step-by-step explanation:
since you understood 1a, I honestly do not understand what's the problem with 1b.
this works exactly the same way. only this time it is x+0 and y changes. that is all.
(x, y) -> (x+0, y-5)
A" = (-6. 2)
B" = (-4, -3)
C" = (-8, -3)
Just need help with this one
Answers
Answer:
perimeter is 20 cm
209,604 expended form
Answers
The sum of two expressions is 5m^2-3n^2. if one of the expressions is 3m^2+4mn-n^2,what is the other?
Answers
If h(x)= 3x+b and hh (2) = 12 then Find the value of b.
Answers
12=3(3x+b)+b
12=9x2+3b+b
12=18+4b
-6 =4b
b=-3/2
I think-3/2is the value of b
Find the focus of the parabola y^2=20x
Answers
Answer:
focus is (-5, 0)
Step-by-step explanation:
[tex] {y}^{2} = 4ax \\ 4a = 20 \\ a = 5[/tex]
A group of 20 people are going to run a race. The top 6 finishers advance to the finals. In how many different ways can they advance?
Answers
How do you simplify (4m)^5
Answers
Hi! I'm happy to help!
To first solve this, we need to know what is going on. In the order of operations, everything inside of the parenthesis happens first. Since 4 and m are being multiplied inside of the parenthesis, that would happen before being moved to the fifth power. Since m is unknown, we make everything inside of the parenthesis to the fifth power, and make sure they are multiplied together as they are inside of the parenthesis. (Everything inside of the parenthesis applies to the raising to the fifth power.)
[tex]4^{5}[/tex]·[tex]m^{5}[/tex]
From here, we can simplify [tex]4^{5}[/tex] to 1024.
1024·[tex]m^{5}[/tex]
We don't need the multiplication sign because it is a variable.
1024[tex]m^{5}[/tex]
Since we cannot simplify m, this is our most simplified form: 1024[tex]m^{5}[/tex]
I hope this was helpful, keep learning! :D
Which expression is equivalent to 7^3 * 7^-57
a. 7^2
b. 7^7
c. 1/7^2
d. 1/7^7
Answers
Answer:
c. 1/7^2Step-by-step explanation:
As,
[tex] {7}^{3} \times {7}^{ - 5} [/tex]
[tex] = {7}^{3 - 5} [/tex]
[tex] = {7}^{ - 2} [/tex]
[tex] = \frac{1}{ {7}^{2} } [/tex]
Answer:
c. (1/7^2) is the answer
One of the legs of a right triangle measures 4 cm and the other leg measures 3 cm.
Find the measure of the hypotenuse. If necessary, round to the nearest tenth.
Answers
Answer:
5
Step-by-step explanation:
a² + b² = c²
4² + 3² = c²
16 + 9 = c²
c = √25
c = 5
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Use the points on the number line to answer the following
Answers
Step-by-step explanation:
1. √47 => E
2. √27 => D
3. √11 => A
Find the value of y.
Answers
thats my answer
Solve the equation for the specified variable.
s=gh-4gc4, for g
Answers
Answer:
OOOOOOOOOOOOOOOOOOOOOOOOOOO OK BRO
Step-by-step explanation: