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zmey [24]
3 years ago
12

At the gas station, each liter of gas costs \$3$3dollar sign, 3, but there's a promotion that for every beverage you purchase yo

u save \$0.20$0.20dollar sign, 0, point, 20 on gas. Is your total savings on gas proportional to the number of beverages you purchase?
Mathematics
2 answers:
CaHeK987 [17]3 years ago
6 0

Yes , your total savings on gas proportional to the number of beverages you purchases.

As for every beverage purchased , there is a saving of $0.20

If we show by an equation , where savings is s , and number of beverages is b

Than

s = 0.20 b

77julia77 [94]3 years ago
4 0

Answer:

Yes, there is a proportional relationship between the two.

Step-by-step explanation:

Given is :

Each liter of gas costs is $3, but with purchase of 1 beverage, we save $0.20 on gas. Similarly, if we purchase 2 beverage we save $0.40, If we purchase 3 beverages, we save $0.60 on gas.

Here, we can see that with each beverage, the savings on the gas is increasing. So, its proportional to each other.

If we want to show the relationship:

Let us suppose money saved be = x

Let us suppose the beverages purchased be = b

So, x=0.20b

Hence, yes the total savings on gas is proportional to the number of beverages you purchase.

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When the factor of a trinomial are (X+P) and (x+q) then coefficient of the x-term in the trinomial is A The sum of p and q B the
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The answer should be A, the sum of p and q.

Plug in a value for p and q to figure this out.
Here, I'm using 4 for p and 5 for q.

(x+4)(x+5)
x^2+5x+4x+20
x^2+9x+20

Here, the coefficient for the x term is 9 and 9 is the sum of p and q (4+5).
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3 years ago
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A certain model of automobile is available in seven exterior colors, three interior colors, and four interior styles. In additio
VikaD [51]

Answer:

336 version

Step-by-step explanation:

To determine the total possible number of combination we will use the product rule

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Total number of interior colour 3

Total number of interior style 4

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Total number of engine option 2 therefore the total combination is

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6 0
3 years ago
The area of a circle is 81 ft 2 . What is the π circumference? Leave in terms of Pi.
KonstantinChe [14]

Answer:

10.2π

Step-by-step explanation:

Given data

Area of circle=  81 ft^2

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A=πr^2

substitute

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r^2= 81/3.142

r^2= 25.77

square both sides

r= √25.77

r= 5.1

Also, the expression for the circumference is

C= 2πr

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Hence the circumference is 10.2π

7 0
2 years ago
Write a function modeling this debt situation if the initial debt in 2009 was
Karolina [17]

Answer:

To solve this, we are going to use the standard decay function where

is the final amount remaining after  years of decay is the initial amount is the decay rate in decimal form

is the decay factor

is the time in years

I will tell Greece to decrease their expending by 25%

To find our decay factor , we are going to convert the rate from percentage to decimal; to do it, we are going to divide the rate by 100%

Decay factor =

Decay factor =

Decay factor = (0.75)

We can conclude that our decay factor is (0.75)

c. To solve this, we are going to use the standard decay function  from our previous point.

where

is the final amount remaining after  years of decay is the initial amount is the decay rate in decimal form

is the decay factor

is the time in years

We know from our problem that the initial debt in 2009 was $500 billion, so ; we also know from our previous calculation that our decay factor is (0.75), so lets replace those values in our function:

We can conclude that the function that model this debt situation is: .

Greece will be debt-free when heir debt is zero. Translating this into our model, Greece will be debt-free when . Since we will need logarithms to find the time , and the logarithm of zero is not defined, we are going to use a small value for , so we can use logarithms to find .

Let . After all, a $1 debt for a country is practically the same as being debt-free.

Now, we can solve for  using logarithms:

We can conclude that, with me in charge, Greece will be debt free after 93.6 years. I won't reconsider my answer b. Even tough 93.6 years is a lot of time, decreasing the public expense more than 25% will have worse consequences for the economy of the country than the debt itself.

6 0
2 years ago
Plzzzzz help i’ll mark brainliest!!!
Tasya [4]

Answer:

1)4m + 11 <60

2)c

3)b

4)d

5)x>4

6)?????

5 0
2 years ago
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