Tavon has a gift card for $170 that loses $4 for each 30-day period it is not used. He has another gift card for $150 that loses $3.50 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

Answer 1

Answer:

37

Step-by-step explanation:

Answer 2

It will take twenty 30-day periods until the value of the gift cards will be equal. The value of each card when they have equal​ value is $10

What is an expression?

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Let x represent the number of​ 30-day periods until the value of the gift cards will be equal.

Tavon has a gift card for $90 that loses $4 for each​ 30-day period it is not used. This means that x 30-day periods, the amount left would be

90 - 4x

He has another gift card for $ 80 that loses $3.50 for each​ 30-day period it is not used. This means that x 30-day periods, the amount left would be

80 - 3.5x

For the amounts left on each card to be the same, the number of periods would be

90 - 4x = 80 - 3.5x

90 - 80 = - 3.5x + 4x

10 = 0.5x

x = 10/0.5

x = 20

The value of each card when they have equal​ value is

90 - 4 × 20 = 90 - 80

= $10

Therefore, It will take twenty 30-day periods until the value of the gift cards will be equal. The value of each card when they have equal​ value is $10

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[tex] \sqrt{97} \div 6[/tex]

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Joans father is 13,870 days old

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Evaluate the expression.
5 - (-9)

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Answer:

14

Step-by-step explanation:

5 - ( - 9 ) = 5 + 9 = 14

The double negative becomes positive.

-Chetan K

Answer:

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Step-by-step explanation:

Because 5-(-9) equals 5-1(-9) and when you multiply two negatives you get a positive, to solve just add 5 and 9

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Bell is 5 more than 4 times older than John. Together their ages add to 70. How old is John?

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Answer:

I think John is 13 is the answer buti'm not 100%㋛︎

Answer:

John is 13

Step-by-step explanation:

If john is 13 then 4 times that is 52 and bell is 5 more so 57 and 57 plus 13 = 70

calculate (2x10^5)(6x10^6)/3x10^4

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Answer:

4e+15

Step-by-step explanation:

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Step-by-step explanation:

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Jody can swim one length of the pool in of a minute. How long will it take Jody to swim six lengths of the pool?

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Answer:

Step-by-step explanation:

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5. Find the measure of the missing angle.
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Answers

50°

Step-by-step explanation:

40° + 90° + ? = 180°

130° + ? = 180°

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Step-by-step explanation: The interior angles add up to 180.

1. 40 + 90 + ? = 180

     130 + ? = 180

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Answers

Answer:

The slope is 5/3

Step-by-step explanation:

-3 over to 0 is 3, so you get the run.

-2 up to 3 is 5, so you get the rise.

Slope is rise over run, which gives the answer of 5/3.

Good luck!

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Step-by-step explanation:

On a ship, the ratio of crew members to passengers is 1:15.There are 540 passengers. How many crew members are there? ( Explain it easier)

Answers

Answer:

36 Crew Members

Step-by-step explanation:

So for every 1 crew member, there are 15 passengers.

So divide 540 by 15: 540/15=36

So by dividing that you get the number of crew members: 36

Can anyone help me find the value of x.
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Please.

Answers

Hello NiX010101!

[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]

Solve : [tex]\frac{ 3x-2 }{ 4 } - \frac{ 2x+3 }{ 3 } = \frac{ 2 }{ 3 } -x\\[/tex]

[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]

[tex]\frac{ 3x-2 }{ 4 } - \frac{ 2x+3 }{ 3 } = \frac{ 2 }{ 3 } -x \\ [/tex]

Multiply both the sides by the LCM of 4, 3 which is 12. After some simplification you'll get it as ..

[tex]3\left(3x-2\right)-4\left(2x+3\right)=8-12x [/tex]

Now, use the distributive property to open the brackets.

[tex]3\left(3x-2\right)-4\left(2x+3\right)=8-12x \\ 9x - 6 - 8x - 12 = 8 - 12x[/tex]

Now, bring the like terms together & simplify it.

[tex]9x - 6 - 8x - 12 = 8 - 12x \\ 9x - 8x - 6 - 12 = 8 - 12x \\ x - 18 = 8 - 12x \\ x + 12x = 8 + 18 \\ 13x = 26 \\ x = \frac{26}{13} \\ \large \boxed{\boxed{ \bf x = 2}}[/tex]

We got the value of x as 2.

__________________

Hope it'll help you!

ℓu¢αzz ッ

Hello! Please help!!​

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Answer:

3 x 6 = 18

Step-by-step explanation:

think it's right. that jump from 6 to 3 might be cause of my downfall.

Answer:

18!

Step-by-step explanation:

Its going down by 1 number, 9 x 10 = 90

8 x 9 = 72

7 x 8 = 56

6 x 7 = 48

3 x 6 = 18

Which expression uses the greatest common factor to rewrite 18+6

Answers

Answer:

18+6=24

Step-by-step explanation:

qs and tv are parallel lines​

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answer:
angle vuw and angle sru


explanation:
corresponding angles

Which graph shows a negative correlation?
10fy
9
8
7+
6
0 5.
4
3
2+
1 +
1
23
4 5 6 7 8 9
+
X
9
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7+
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5+
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The scatterplot with negative correlation is (a)

How to determine the scatterplot with negative correlation

From the question, we have the following parameters that can be used in our computation:

The images of the scatter plots

Describing the scatterplot a

On the scatter plot, we can see that

The points appear to be on a straight line

Also, we can see that

As the x values increases the y values decreases

This represents a negative association.

Hence, the correlation is negative

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Answer:

B

Step-by-step explanation:

it will never cross so it's b

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Answer:

12+4 is the expression that will give you a sum of 16

4•4 is an expression that will give you a product of 16

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Answer:

the awnser is 2

Step-by-step explanation:

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Answer:

26 in

Step-by-step explanation:

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Cornelius Shultz’s annual salary is $29,800. He is paid monthly. His personal exemptions total $4,000. How much does his employer deduct from each of Shultz’s paychecks for state income tax of 4 percent?

Answers

Answer:

86

Step-by-step explanation:

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Answers

Answer:

(m+10)(m-9)

Step-by-step explanation:

To factor this equation we want to find two numbers that multiply to -90 but also add/subtract to 1.

Those two numbers are 10 and -9 (10×-9=-90, 10-9=1)

Answer:

[tex](m-9)(m+10)[/tex]

Step-by-step explanation:

When you are given an expression in this format

[tex]ax^2+bx+c[/tex]

You must find two numbers that add up to b while the product is c.

You do trial and error to figure it out for your equation.

[tex]m^2+m-90[/tex]

Hmm... what two numbers add up to 1 and multiplied together equal -90.

Start off with pairs that can equal 90.

45 2

18 5

9 10

Ok, well 45 * 2 does equal 90 but 45 + 2 = 47and 45 + -2 = 43 but there's no way I can make it equal to 1. Next!

18 * 5 equals 90 but 18 + -5 = 13 and 18 + 5 = 23, I can just tell that there's no way I can make this equal to 1.

9 * 10 equals 90, 9 + 10 = 19 but 9 + -10 = -1. Now, that's interesting, We have -1 but we need 1. All we have to do is flip the order. 10 + -9 = 1. And -9 * 10 = -90, PERFECT!

Now use the two numbers and put it in factored form.

[tex](m-9)(m+10)[/tex]

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Answers

Answer: 3

Step-by-step explanation:

The slope is given by the coefficient of x, in an equation of the form y=mx+c.

Here, the slope, m = 3

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Answers

114 divide 228 in half
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Raquel estimated 304,900,000,000 as 3 × 10^8. What error did she make?

Answers

The error that was made by Raquel when expressing [tex]304,900,000,000[/tex]

is that she didn't count the digit correctly, The correct digit is [tex]3 *10^{11}[/tex]

Raquel was trying to express the figure in standard form but she doesn't count the number of digit very well and that was her mistake

Standard form helps to represent digits that are very long or short in simple form and fir conveniency sake

Therefore, the correct expression in standard form is [tex]3 * 10^{11}[/tex]

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First Class Airlines has 40 pilots for every 15 aircrafts. If they employ 250 pilots, how many aircrafts does First Class Airlines own?

(Answer is ratio or proportion)

Answers

We want to find a proportional relationship between the number of pilots and aircraft, and use that to find the number of aircrafts for a given number of pilots.

We can expect to have 94 aircrafts if there are 250 pilots.

Let's see how to get that.

We start by defining what a proportional relationship is.

A proportional relationship between two variables x and y can be written as:

y = k*x

Where k is the constant of proportionality.

Here we do know that there are 40 pilots for every 15 aircrafts, then we can replace these values in the general proportional equation, where x will be the number of aircrafts and y the number of pilots.

40 = k*15

40/15 = k

Now we know the proportional relationship:

y = (40/15)*x

Now to find the number of aircrafts given that we have 250 pilots, we just need to replace the number of pilots by 250 and solve for x:

250 = (40/15)*x

250*(15/40) = x = 93.75

We can round this to the next whole number, 94.

So we can expect to have 94 aircrafts if there are 250 pilots.

If you want to learn more, you can read:

https://brainly.com/question/13114933

What is the value of a in the algebraic expression (5a+3)=52

Answers

Answer:

a= 49/5 or 9.8

Step-by-step explanation:

Answer:

49 / 5 ( or ) 9.8

Step-by-step explanation:

( 5a + 3 ) = 52

 5a + 3 = 52

 5a = 52 - 3

 5a = 49

   a = 49 / 5

       ( or )

   a = 9.8

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Answers

Answer:

95

Step-by-step explanation:

because of bodmas

200-125+20=95

Find the area of the shaded part in this exercise. (URGENT. FOR TODAY)

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Answer:  80

Step-by-step explanation: Well the 60 is too slanted and 90 would be straight 70 would be less straight then it is 80

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