Tavon has a gift card for $80 that loses $3.50 for each 30-day period it is not used. He has another gift card for $70 that loses $3 for each 30 day period it is not
used
aWrite 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?
a. If x is the number of 30-day periods, then the equation can be used to find the number of 30 day periods until the values of the gift cards will be equal.
(Type an equation. Use integers or decimals for any numbers in the equation.)
Answers
Answer:
(a). 20 ; (b). $10.00 ;
Step-by-step explanation:
(a). 70 - 3x = 80 - 3.50x
- 3x + 3.50x = 80 - 70
0.5x = 10
x = 10 ÷ 0.5
x = 20 ( 30-day periods )
(b). $70.00 - $3.00(20) = $10.00
The number of days will be 20 days. Then the values of the gift cards will be equal and will be $10.
What is the solution to the equation?The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.
Tavon has a gift card for $80 that loses $3.50 for each 30-day period it is not used. He has another gift card for $70 that loses $3 for each 30 days period it is not used.
Let y be the amount left of gift cards after x days and x be the number of days. Then the equation will be
y = 80 - 3.5x ...1
y = 70 - 3x ...2
From equations 1 and 2, we have
80 - 3.5x = 70 - 3x
0.5x = 10
x = 10 / 0.5
x = 20 days
The values of the gift cards will be equal and will be
y = 80 - 3.5(20)
y = 80 - 70
y = $10
The values of the gift cards will be equal and will be $10.
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Related Questions
One of these expressions reduces to 1 and the other reduces to –1. Do you know which one is which? How do you know? x + 3 3 + x 3 − x x − 3 x + 3 3 + x = The numerator of the expression 3 − x x − 3 can be written as . 3 − x x − 3 =
Answers
Answer:
First Blank: 1
Second Blank: -1 (x-3)
Third Blank: -1
Step-by-step explanation:
The expression [tex]\frac{x+3}{3+x}[/tex] is reduced to 1 and the expression [tex]\frac{3-x}{x-3}[/tex] is reduced to -1.
The two given expressions are [tex]\frac{x+3}{3+x}[/tex] and [tex]\frac{3-x}{x-3}[/tex].
What is an expression?An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.
Here,
[tex]\frac{x+3}{3+x}=\frac{x+3}{x+3}=1[/tex]
Now, [tex]\frac{3-x}{x-3}=\frac{-(x-3)}{x-3}=-1[/tex]
Therefore, the expression [tex]\frac{x+3}{3+x}[/tex] is reduced to 1 and the expression [tex]\frac{3-x}{x-3}[/tex] is reduced to -1.
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Describe the transformation of f(x) = sin x to g(x) = sin x - 17 ?
Answers
Answer:
f(x) underwent a downward vertical translation to get g(x)
Step-by-step explanation:
here, we want to describe a transformation
Looking at the two equations, we can notice that the difference between the two is the -17
Practically, we have this difference as 17 subtracted from the second equation
what this mean is that there is a downward vertical translation of the first graph by 17 units to get the second graph
100 POINTS AND BRAINLIEST! Explain your answer PLEASE!
Answers
Answer:
27000
Step-by-step explanation:
I = P×R×T
=2000×25/10×5
=25000
AMOUNT= P+I
=2000+25000
=27000
Compound interest:-
P(1+r)^t2000(1+0.025)⁵2000(1.025)⁵2000(1.314)2628$Total:-
2000+2628=4628$Arianas goal is to reach $600 the first week she raises 30% of $600 .The second week she raises 50% of the $600 How much money does Ariana raise in the first two weeks?0
Answers
Answer: The amount raised by Ariana in the first two weeks =$480
Step-by-step explanation:
Given: The first week she raises 30% of $600 .
The second week she raises 50% of the $600.
Amount raised in the first week = 50% of $600
= 0.50 x 600
= $ 300
Amount raised in the second week = 30% of $600
=0.30 x 600
= $180
The amount raised by Ariana in the first two weeks = $300+$180
= $480
Hence, The amount raised by Ariana in the first two weeks =$480
Predict what will happen to the lynx population after 1935. Will it go up or down? Explain why you think this.
Please help me. I will adore u
Answers
Answer:
It'll go down
because they're very rare
Paul opens a savings account with $350. He saves $150 per month. After how many months will Paul have $2150 in the account?
Answers
Answer:
12 months
Step-by-step explanation:
2150-350=1800
1800÷150=12
An African Elephant can eat 4,620 pounds of
food a week! If the elephant ate the same
amount of food each day that week, how many
pounds of food would he have eaten in a day?
Answers
Answer:
Step-by-step explanation:
660
Answer:
660 pounds
Step-by-step explanation:
aschool charges $6 per ticket to a dance they spend $300 on music and decerations the expretion 6n-300 describes the amount of profit the school makes from the dance if n students buy tickets what does 6n represent in this context
Answers
Answer:
$6n will represent the total revenue made from selling n tickets at $6 per ticket
Step-by-step explanation:
Here, we want to get what 6n means in the given context
Mathematically when calculating profit, we have to subtract the cost from the revenue
The revenue refers to the money made ;
From the question, $6 tickets were sold to a total of n people
The money made from these sales will be the product of the cost of each ticket by the number of people who bought the ticket
That will be $6 * n = $6n
Find the slope of the line that passes through A(0,−5) and B(3,−4) .
Answers
Answer: 1/3
Step-by-step explanation: slope is the difference between the y values over the difference of the x values
The slope of the line that passes through A(0,−5) and B(3,−4) will be 1/3.
What is slope?A slope is a tangent or angle at a point and a slope is the intensity of inclination of any geometrical lines.
Slope = Tanx where x will be the angle from the positive x-axis at that point.
The slope could be positive or negative.
The slope associated with two points (x₁, y₁) and (x₂, y₂) is given by
Slope = (y₂ - y₁)/(x₂ - x₁)
Slope m = (-4 + 5)/(3 - 0)
m = 1/3
Hence "The slope of the line that passes through A(0,−5) and B(3,−4) will be 1/3".
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Find x if:
16x2 = -1
Answers
At a hospital, 56 percent of the babies born are not girls. Of the baby girls born, 12 percent are premature. What is the probability of a premature baby girl being born at this hospital? Round to the nearest percent.
5%
7%
21%
27%
Answers
Answer:
It's the first option 5%
Step-by-step explanation:
The probability of a premature baby girl being born at this hospital is,
⇒ 5%
What is mean by Probability?The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one
Now, If the likelihood of boys being born is 56%,
Then, the complement of that is the likelihood of girls being born which is,
⇒ 100% - 56% = 44%.
Since, we are given that of the baby girls born, 12% are premature, the probability of a premature baby girl being born is:
⇒ (0.44)(0.12)
= 0.0528
⇒ 5.28%
Thus, The probability of a premature baby girl being born at this hospital is,
⇒ 5%
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que es un plano cartesiano?
Answers
what about these 2 ?
Answers
Answer:
11. A) 12
12. D)11
Step-by-step explanation:
11. We substitute x with 12 in 3(x)-11.
3(12)-11=
36-11= 25
We substitute x with 12 for the second equation (x+13).
12+13=25
Both answers match so the answer for #11 is 12.
12.We substitute x with 11 in 4(x)-4.
4(11)-4=
44-4=40
We substitute x with 11 for the second equation (2(x)+18)
2(11)+18=
22+18=40
Both answers match so the answer for #12 is 11.
Solve each equation. 15 = t - 25 m6 = 18 5d = 75 94 = g + 32
Answers
Answer:
1, t = 40
2, m = 3
3, d = 15
4, g = 62
Step-by-step explanation:
15 = t - 25
+25. +25
40 = t
M6/6 = 18/6
m = 3
5d/5 = 75/5
d = 15
94 = g + 32
-32. -32
62 = g
Find the inequality represented by the graph.
Answers
Answer:
y<-4/3x+5
Step-by-step explanation:
the two points that are high lighted are (3,1) and (0,5)
the slope is -4/3
and the point where the line intersects with the y-axis is (0,5) so the y-intercept is 5
so the line is y=-4/3x+5
now you need to determine the inequality
since the line is dotted then it is less than or greater than
as you can see by the line all of the y values on the y-axis, starting from the line that we made, are all less than the line or less than 5
I hope that helps :)
lmk if it doesn't and I will try my best to explain the part that doesn't make sense
(b) A farmer uses of his land to plant
cassava, of the remaining land to plant
maize and the rest vegetables. If
vegetables cover an area of 10 arces, what
is the total area of the farmer's land.
Answers
Answer:
Cassava = ⅓ or 33.333%
Maize = ⅔x⅔ = 44.444%
total so far =77.777%
Remaining vegetable area =(100–77.777%) = 22.222%
If remaining area vegetables = 22.222% = 10 acres
Maize = ⅔x⅔ = 44.444% or 20 acres
Cassava = ⅓ or 33.333% or 15 acres
Total land area = 45 acres.
Step-by-step explanation:
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Answers
She got a potato I'm peelin it
Answer:
1. Vertical angles. X = 128º
2. The two angles labeled make up a linear pair & are supplementary, meaning they add up to 180º.
So:
7x + (x+20) = 180
Solve for x:
7x + (x + [20-20]) = 180 - 20
7x + (1)x = 160
8x = 160
X = 20
3. The two angles are complementary, meaning they add up to 90º.
So:
X + 35 = 90
Solve for x:
X + (35-35) = 90 - 35
X = 55
4. the two angles are complementary, and add up to 90º.
So:
4x + 2x = 90
Solve for x:
6x = 90
6x/6 = 90/6
X = 15.
5. Vertical angles, so they are equal in measure.
So:
75 = 4x - 25
Solve for x:
75 + 25 = 4x (-25 + 25)
100 = 4x
100/4 = 4x/4
X = 25.
6. The 3 angles all add up to 180º. they are supplementary.
So:
75 + x + (3x + 5) = 180
Solve for x:
(75 - 75) + x + (3x + 5) = 180 - 75
X + (3x + 5) = 105
X + 3x + (5-5) = 105 - 5
(1) x + 3x = 100
4x = 100
4x/4 = 100
X = 25
7. The 2 angles shown in the picture add up to 180º & are supplementary.
So:
x + (2x - 21) = 180
Solve for x:
X + (2x [-21 + 21]) = 180 - 21
(1)x + 2x = 159
3x = 159
3x/3 = 159/3
X = 53.
Sorry for the late response.
hope this helps & have a great rest of your day!
Find the value of x using the exterior angle property in the figure below (label the diagram
Answers
Answer:
x = 72°
Step-by-step explanation:
x + 38° + 70° = 180°
x + 108° = 108°
x = 72°
Answer:
x is 32
This is your answer.
Hope it helps!!!
Suppose a value of 13 is added to the existing values 17,13,15,26,23,29,18,22,15. Find the median of the values.
Answers
Answer:
17.5Step-by-step explanation:
Given values:
17, 13, 15, 26, 23, 29, 18, 22, 15 and added 13Put the values in ascending order:
13, 13, 15, 15, 17, 18, 22, 23, 26, 29There are even values, the middle numbers are:
17 and 18Median is the average of the middle two numbers:
(17 + 18)/2 = 17.54 points
The midpoint of AB is (-1,5)
and the coordinates of point A are
(-3,2). What are the coordinates
of point B?
Answers
Answer:
someone go answer my question plssssssssssssssssssssssssss
Step-by-step explanation:
HELP PLEASEE PLEASE PLEASE!! It’s due by 10:20 !!
A cone has a height that is greater than the diameter of the base of the cone.
What is the shape of a cross section of the cone that contains the vertex of the cone and the diameter of the base?
А
right triangle
B.
obtuse triangle
С
scalene triangle
D
isosceles triangle
Answers
Answer:
its either b or d
Find the equation of a line that passes through the point (0,4) and has a gradient of 2.
Leave your answer in the form y = mx + c
Answers
Answer:
y = 2x + 2
Step-by-step explanation:
y = mx+c
m = slope
c =y -intercept
Therefore, the required equation is:
y = 2x + c
Putting the point (0,4) in it as it lies on a line, we get:
4 = 2 + c
Therefore:
c = 2
So, y = 2x + 2
Brainlist pls!
The equation of a line that passes through the point (0,4) and has a gradient of 2 is y = 2x + 4
Equation of a lineThe equation of a line in point-slope form is expressed as:
y = y1 = m(x-x1)
Given the following
Slope m = 2
(x1, y1) = (0, 4)
Substitute
y - 4 = 2(x- 0)
y -4 = 2x
y = 2x + 4
Hence the equation of a line that passes through the point (0,4) and has a gradient of 2 is y = 2x + 4
Learn more on equation of a line here: https://brainly.com/question/18831322
[tex](5 - x)(x - 3)[/tex]
Answers
Answer:
15x
Step-by-step explanation:
because i multiply i side by side and copy the variable
Answer:
- x² + 8x - 15
Step-by-step explanation:
Given
(5 - x)(x - 3)
Each term in the second factor is multiplied by each term in the first factor, that is
5(x - 3) - x(x - 3) ← distribute parenthesis
= 5x - 15 - x² + 3x ← collect like terms
= - x² + 8x - 15 ← in standard form
PLEASE HELP QUICKLY!!
Lins second pan has a volume of 15 cubic inches, a length of 8/3 inches, a width of 15/4 inches. What is the height of the second pan? Explain your reasoning
Answers
Step-by-step explanation:
I might be think it is 7/1 hope this helps
What is the answer to
-k - (-8k)
Answers
Answer:
if we simplify then the answer is 7k
Step-by-step explanation:
can someone please answer my question from my profile.
Answer:
7k
Step-by-step explanation:
A unicycle wheel has a diameter of 12 inches. How many inches will the unicycle
travel in 5 revolutions?
Use n = 3.14 and round your answer to the nearest hundredth of an inch.
Answers
Answer:The unicycle would travel 226.29 inches in 6 revolutions.
Step-by-step explanation:
plzz help with this math due today
Answers
Answer:
20x⁴ - 13x³+ 8x² - x + 6
Step-by-step explanation:
Multiplyin gbthebtop trinomial by the last term. Of the bottom trinomial.
___4x² - 5x + 3
___5x² + 3x + 2
* ____________
_________8x² - 10x + 6
______12x³-15x²+9x
_20x⁴-25x³+15x²
____________________
20x⁴ - 13x³+ 8x² - x + 6
___________________
I need help with this (Please add work if possible), It would really help me a lot right now
Answers
Answer:
Remember, the formula is the second value minus the first value, divided by the first value times 100.
9. 50% Increase
10. 33% Decrease
11. 200% Increase
To calculate tip, simply move the decimal place 2 to the right and multiply it by the price. For example, If you want to leave a 20% tip, multiply the cost by 0.20 to get the tip amount or multiply the cost by 1.20 to get the total including tip.
12. $23.00
13. $10.50
The fish eat about 12 ounces of food in 30 days. How many days would 50 ounces of food last
Answers
Answer:
125 days
Step-by-step explanation:
[tex]\frac{12}{30} =\frac{50}{x} \\\\12x=1500\\x= 125[/tex]
order from least to greatest 3.2 ,3.14, 19/7, sqrt (14)
Answers
Answer: 19/7 ,3.14, 3.2
Step-by-step explanation: Hope this helps Have a brilliant day of learning!