1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
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.

You might be interested in
What is the solution to the equation n + 12 = 17?
yarga [219]

Answer:

n=5

Step-by-step explanation:

12+5=17 is equal to 12+n=17 so n=5

6 0
3 years ago
Which is the directrix of a parabola with equation X^2=8y
aleksklad [387]
Alright so, After rewriting the equation in a standard parabola, you get:
4 x 2 (y-0) =(x - 0)^2

Simplify it to get: 
y= 0-p
y= 0-2

When you simplify that, your answer is:
y=-2

There you go folks, just saved you from reading that long paragraph of an answer the other guy has (I don't even think the answer is in there lol, I think he just wanted to help people solve it but still most people come here for answers)
4 0
3 years ago
onsider the following problem: A box with an open top is to be constructed from a square piece of cardboard, 3 ft wide, by cutti
Sholpan [36]

Answer:

V (max)  = 2 ft³

and x side of the base is  x  =  0,5 feet

Step-by-step explanation:  See annex ( two different cubes)

We have a square piece of cardboard of  3 inches wide

Let  x be lenght of side to cut in each corner

Then the base of the (future cube) is    3  -  2x,  and the area is  

( 3 - 2x )²

And  the height   is x  Then volume of the cube as a function of x is:

V(x)  =  ( 3 - 2x )² *x   or       V(x)  =    ( 9 + 4x² - 12x )*x

V(x)  =  4x³  -  12x²  + 9x

Taking derivatives on both sides of the equation

V´(x)  =  12x² - 24x  + 9

V´(x)  =  0       12x² - 24x  + 9  =  0   simplifying   4x² - 8x  + 3  =  0

Second degree equation solving for x

x₁,₂ =  [ 24 ± √( 576) - 432  /24

x₁,₂ =  [24 ±√144 ]/24

x₁,₂ = ( 24 ± 12) /24         x₁  =  1.5 feet        x₂  = 0,5 feet

Of these two values we have to dismiss x₁  because if  x = 1.5 we don´t have a cube ( 0 height )

Then we take x  = 0,5  feet

And

V (max)  =  (2)²*0,5   =  4*0,5

V (max)  = 2 ft³

5 0
3 years ago
PLEASE HELP!!<br> The length of a square is 4x-3, find the area in terms of x
umka2103 [35]

Answer:

16x^{2}−24x+9

Step-by-step explanation:

A=s^2

s=4x-3

A=(4x-3)^2

(a-b)^2=a^2-2ab+b^2

A=16x^2-2(12x)+9

A=16x^2-24x+9

8 0
2 years ago
Use f ( x ) = x 2 − x , f(x)=x 2 −x, g ( x ) = 9 − 2 x g(x)=9−2x, and h ( x ) = x 2 + 2 x − 63 h(x)=x 2 +2x−63. Find ( f + h ) (
enyata [817]

Given:

The functions are:

f(x)=x^2-x

g(x)=9-2x

h(x)=x^2+2x-63

To find:

The function (f+h)(x).

Solution:

We know that,

(f+h)(x)=f(x)+h(x)

Substituting the values of given functions, we get

(f+h)(x)=x^2-x+x^2+2x-63

(f+h)(x)=2x^2+x-63

Therefore, the required function is (f+h)(x)=2x^2+x-63.

5 0
3 years ago
Other questions:
  • Ted has $6.00. He will buy a notebook for $1.50 and some pencils. Each pencil costs $0.25. Write and solve an equation to determ
    8·1 answer
  • It is 7 kilometers from Kerry's house to the mall. About what is that distance in miles
    10·2 answers
  • In ANOVA analyses, when the null hypothesis is rejected, we can test for differences between treatment means by ________. Group
    15·1 answer
  • The mass of 4 large zucchini is about 2 kilograms. About how many grams will 1 large zucchini have?
    5·1 answer
  • What is the polynomial function of lowest degree with lead coefficient 1 and roots i, -2 and 2?
    8·2 answers
  • Identify the values a, b, and c is the first step in using the quadratic formula to find the solution(s) to a quadratic equation
    14·2 answers
  • Please HELP ASAP!!! The dot plot show the number of hours teenagers spent on two different websites last week. Which statement i
    6·2 answers
  • Answer this and I’ll give more points!!
    8·1 answer
  • Solve for x. −1/2x+1/3&gt;3/5
    10·2 answers
  • n/5+4=5 what is n? nwfowjvksncknknssnpxjvspdojsovjdsjsdbosdjoisdjosdjosdjgsodgjsodgjsdogjsdogjsdgosdjgosdjgosd
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!