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.)

Tavon Has A Gift Card For $80 That Loses $3.50 For Each 30-day Period It Is Not Used. He Has Another

Answers

Answer 1

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

Answer 2

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

(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:

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

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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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 x if:
16x2 = -1

Answers

The answer is: X = - 1/32

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:

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

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

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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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!

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:

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 line

The 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

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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]

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

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 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!!!

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.


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

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:

17.5

Step-by-step explanation:

Given values:

17, 13, 15, 26, 23, 29, 18, 22, 15 and added 13

Put the values in ascending order:

13, 13, 15, 15, 17, 18, 22, 23, 26, 29

There are even values, the middle numbers are:

17 and 18

Median is the average of the middle two numbers:

(17 + 18)/2 = 17.5

4 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:

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

___________________

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:

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

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

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$

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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[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 Cuz For A Hunid points

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!

que es un plano cartesiano?

Answers

Answer: Un sistema de coordenadas cartesianas en un plano es un sistema de coordenadas que especifica cada punto de forma única mediante un par de coordenadas numéricas, que son las distancias con signo al punto desde dos líneas fijas orientadas perpendiculares, medidas en la misma unidad de longitud. Step-by-step explanation:

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

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