ayden has 5.5 gallons of gasoline in his suv’s fuel tank before it starts refilling. the capacity of the fuel tank in aydens suv is 21 gallons. what is an equation that relates the amount of gasoline ayden purchased, p, in gallons and the amount of gasoline in the fuel tank, A after the purchase? what values of P could be viable solutions?

Answers

Answer 1

Answer:

[tex]0<p\leq15.5[/tex]

Step-by-step explanation:

Amount of gasoline in the tank is 5.5 gallons

21 gallons is the capacity of the fuel tank in the car

A is the amount of gasoline in the fuel tank after purchase which will be less than or equal to 21 gallons.

So the equation will be

[tex]5.5+p\leq A\\\Rightarrow 5.5+p\leq 21\\\Rightarrow p\leq 21-5.5\\\Rightarrow p\leq 15.5[/tex]

So, the value of p is in the range of [tex](0,15.5][/tex] or [tex]0<p\leq15.5[/tex].


Related Questions

1/2z+6=3/2(z+6) need the answer asap

Answers

Answer:

z = -3

Step-by-step explanation:

[tex]\frac{1}{2}[/tex]z+6 = [tex]\frac{3}{2}[/tex](z+6)

Expand and cancel out brackets.

[tex]\frac{1}{2}[/tex]z+6 = [tex]\frac{3}{2}[/tex]z +

Simplify.

[tex]\frac{1}{2}[/tex]z+6 = [tex]\frac{3}{2}[/tex]z + 9

Isolate x and numbers.

[tex]\frac{3}{2}[/tex]z - [tex]\frac{1}{2}[/tex]z = 6-9

Simplify.

[tex]\frac{2}{2}[/tex]z = -3

z = -3

Answer:

z=−3

Step-by-step explanation:

1/2*z+6-(3/2*(z+6))=0

Simplify 3/2

1                3

 ((— • z) +  6) -  (— • (z + 6))  = 0  

   2                2

     

Simplify   1/2

Rewrite the whole as 6.1     Pull out like factors :

  -2z - 6  =   -2 • (z + 3)  a fraction using  2  as the denominator.

-z - 3  = 0

7.1      Solve  :    -z-3 = 0  

Add  3  to both sides of the equation :  

                     -z = 3

Multiply both sides of the equation by (-1) :  z = -3

what is the sum of the exterior angles of a decagon

Answers

Answer:

10 exterior angles of 36° , 10 interior angles of 144° , and 10 vertices

Step-by-step explanation:

Solve the inequality.

y – 2 > 3

Answers

Answer:

hi

Step-by-step explanation:

im trying my best ill come back to this rn

hurry I need the answer in less than 90 min . Which situation represents a non-proportional relationship? 1The cost of purchasing p pounds of salmon for $7.99 per pound. 2 the amount a student makes mowing m number of lawns charging $35 per lawn. 3.The amount of water draining at a rate of 2.5 gallons per minute. 4.The total cost of renting a jet ski for $25 per hour plus a fee of $50.

Answers

Answer:

The Answer is B

Step-by-step explanation:

I just did the test

Answer:

b

Step-by-step explanation:

Helpppppppp asap please with calculations pls pls pls

Answers

Answer:

For the first one it is y = -5x because for it to be direct it can't have a b-intercept. it must start at 0.

Second question: y2 - y1/x2 - x1

13-(-8)/(-4)-3

21/(-7)

-3 is the slope

y= -3x + b

13 = -3(-4) + b

13 = 12 + b

12 - 13 = b

b = -1

y=-3x-1

0 = -3x - 1

1 = -3x

1/-3 = -3x/-3

x= -1/3

y=-3x-1

y=-3(0)-1

y= -1

The answer to the 3rd question is y = 1x + 2 because the rise over run is one and the line crosses the y-intercept at 2.

I am not sure if these answers are correct.

(PLEASE ANSWER!) Two distinct lines, L and M, are each perpendicular to the same line N. What is the measure of the angle where line L meets line N? What is the measure of the angle where line M meets line N?

Answers

Answer:

90 and 90

Step-by-step explanation:

If they are perpendicular it means they cross at a 90 degree angle so since both L and M are perpendicular to N both the answers would be 90

Hope This Helps :)

The measure of the angle where line L meets line N is 90° ;

and the measure of the angle where line M meets line N is 90°.

What are perpendicular lines?

In geometry, perpendicular lines are defined as two lines that meet or intersect each other at right angles (90°).

Now it is given that,

Two distinct lines, L and M, are each perpendicular to the same line N.

Line L is perpendicular to line N.

Since angle between two perpendicular lines =  90°.

So, angle between line L and line N = 90°

Similarly, Line M is also perpendicular to line N.

Therefore, angle between line M and line N = 90°

Thus, The measure of the angle where line L meets line N is 90° ;

and the measure of the angle where line M meets line N is 90°.

To learn more about angles :

https://brainly.com/question/13524681

#SPJ6

The slope of the line that represents the data Nicholas collected is -63, and the y-intercept is 825. Explain what these represent in the context of the situation. Remember that x is the number of days, and y is the number of canned goods. The slope of the line that represents the data Nicholas collected is -63, and the y-intercept is 825. Explain what these represent in the context of the situation. Remember that x is the number of days, and y is the number of canned goods.

Answers

Answer:

slope of - 63 in the context means, as the number of days increases by 1, The number of canned goods there is 63 reduction in yhe number of canned goods.

An intercept value of 825 means the Number of canned goods even when the number of days is 0.

Step-by-step explanation:

Given that:

Slope = - 63

y intercept = 825

x = number of days

y = number of canned goods

From the general form of a linear model :

y = mx + c

m = slope / gradient ; c = intercept

Hence,

y = - 63x + 825

A slope of - 63 in the context means, as the number of days increases by 1, The number of canned goods there is 63 reduction in yhe number of canned goods.

An intercept value of 825 means the Number of canned goods even when the number of days is 0.

Answer:

The slope indicates that the soup kitchen uses 63 cans per day. The y-intercept shows that there were initially 825 cans at the soup kitchen.

Step-by-step explanation:

The domain of the following relation R {(3, -2), (1, 2), (-1, -4), (-1, 2)} is
A. {-1, 1, 3}
b. {-1, -1, 1, 3}
с. {-4, -2, 2, 2}
d. {-4, -2, 2}

Answers

domain just means all the x values from smallest to largest and none can repeat so the answer is a

5 x 10-2 Standard notation

Answers

Answer:

50x-2

Step-by-step explanation:

x equal??


helppp plssss

Answers

Answer:

ngghhjjhgifiufigfigiufuff

Answer:

X=4

Step-by-step explanation:

The number of students, SSS, serviced by the school system in the town of Emor, ttt years from 2000 can be modeled by the function S(t)=10{,}000(1.1)^t. The number of classrooms, C, in the town of Emor, t years from 2000 can be modeled by the function C(t)=450+40t. Let D be the average number of students per classroom in Emor's school system t years from 2000.

Answers

Answer:

The formula of D (t) is .1000.(1.1)/45+4t

Step-by-step explanation:

The expression representing the number of students serviced by the school system in the town of Emor, t years from 2000 is:

And the expression representing the number of classrooms in the town of Emor, t years from 2000 is: s(t)=10,000.(1.1)^t

The expression D (t) represents the average number of students per classroom in Emor's school system t years from 2000.

Then the average number of students per classroom can be computed by:

C(t)=450+40t.

Average number of students/classroom = Number of students/Number of classrooms so the answer is D (t) .1000.(1.1)/45+4t

                                                         

                                                                 

Thus,the formula of D (t) is .

PLZ HELP ASAP!!!!!!!!

Answers

Answer:

Step-by-step explanation:

formula for cylinder:V=πr2h

shape of the base: circle

formula for circle: A=πr2

radius: 6.5cm

height: 16cm

V=3.14x6.5^2x16

2122.64cm^3

Answer:

Step-by-step explanation:

The formula for volume a a cylinder is V=pi*r²h

The shape of the base is circular

the formula for area of a circle is A=pi*r²

The radius is 6.5 cm

The height is 16 cm

V=pi x 6.5² x 16

The volume of the cylinder is 2123.72

Hope this helps:)

Which graph shows a function where f(2)= 4?

idk i guessed and got it right :)

Answers

Answer:

The 4th graph.

Step-by-step explanation:

Answer:

The first one

Step-by-step explanation:

f(2)=4 means when x=2. F(x) or you may call it y, equals 4, so find the one that when x=2, y=4, then its your answer.

PLZ HELP..8TH TIME POSTING :)) yeahhhh

Which algebraic rule describes the transformation?

Wont let me copy and paste picture .-.

Cordinates: RUST: R= -4,-1 U= -4,-3 S= -1,-1 T= -1,-3
Cordinates: R'U'S'T': R'= 4,1 U'= 4,3 S'= 1,1 T'= 1,3

A: (x,y)-----(-x,y)
B: (x,y)-----(-x,-y)
C: (x,y)-----(-y,-x)

Answers

Answer:

B

Step-by-step explanation:

what is 12x − y = 10 in slope form equation?

Answers

Y=12x-10


Explanation:

You basically what to get y by itself so-

12x-y=10

You will add y to both sides

12x=y+10

Then subtract ten from both sides

12x-10=y or y=12x-10

Find the area of the trapezoid,
6 in.
4 in.
8 in.
7
The area is
square inches

Answers

Answer:

I think the answer is 8 inches

help!!! which is the correct answer ​

Answers

Answer:

There are no solutions

Step-by-step explanation:

Answer:

the answer is B;

Step-by-step explanation:

5x-4≥12

c.l.t

5x≥12+4

5x≥16

X≥16/5

or

3,1/5

which is still 16/5

x≥16/5

Please help! Asap! i will give brainiest to whoever gives correct answer please help

Answers

Answer:

It is C. with x as 1 and y as 5

Step-by-step explanation:

The third choice (first values are x=1,y=5)

This is the only choice in which there is a direct, linear constant relationship between x and y. the equation would be x=5y.

Simplify 6z^-7 (2) x² (4) ^4x^-4​

Answers

Answer:

3

Step-by-step explanation:

Step-by-step explanation:

First, subtract  

7

from each side of the equation to put the equation in standard form:

x

2

+

4

x

+

4

7

=

7

7

x

2

+

4

x

3

=

0

We can now use the quadratic formula to find the solutions for  

x

. The quadratic formula states:

For  

a

x

2

+

b

x

+

c

=

0

, the values of  

x

which are the solutions to the equation are given by:

x

=

b

±

b

2

(

4

a

c

)

2

a

Substituting:

1

for  

a

4

for  

b

3

for  

c

gives:

x

=

4

±

4

2

(

4

1

3

)

2

1

x

=

4

±

16

(

12

)

2

x

=

4

±

16

+

12

2

x

=

4

±

28

2

x

=

4

±

4

7

2

x

=

4

±

4

7

2

x

=

4

±

2

7

2

x

=

4

2

±

2

7

2

x

=

2

±

7

Or

x

=

2

+

7

and  

x

=

2

7

Jenny is having a party. She has one
large container of soda with 179 ounces in it. A second container holds
128 ounces, but half of it has already
been used. If there are 12 people at
the party, how much soda can each
person have?

Answers

2 .............:)
Good luck

Which of these triangle pairs can be mapped to each other using a single reflection?

Triangles F E G and F G L are congruent. Triangle F E G is reflected across line F G to form triangle F G L.
Triangles F E G and G L M are congruent. Triangle E F G is rotated about point G to form triangle G L M.
Triangles F E G and L M N are congruent. Triangle F E G is shifted down and to the right to form triangle L M N.
Triangles L M N and E F G are congruent. Triangle F E G is reflected across a line to form triangle L M N. Triangle L M N is also slightly higher and to the right of triangle E F G.

Answers

Answer:

the first answer (A)

Step-by-step explanation:

took it on edge 2020 (:

Answer:

A

Step-by-step explanation:

I took it on edg 2020 and got it wrong so I thought I would help you

The y-intercept of the line whose equation is 2x+y= 4 is 04 0-2 02​

Answers

(0,4) is the y intercept

Hope this helps :)

The radius of a circle is 12 in. Find its area in terms of \piπ.

Answers

Answer:

pi144

Step-by-step explanation:

square the radius but dont multiply by pi because the question wants you to leave it out.

After 6 hours, 4 inches of snow have fallen. Assume it continues just know at a constant rate complete the table to show how much snow have fallen after 1,2,6 and 8 hours

Answers

Answer:

Step-by-step explanation:

For 6 hrs and 4 inches that's 2/3 an inch for every hr

1 hr  2/3 inches

2 hrs 1.3 or 1 1/3 inches

6 hrs 4 inches

8 hrs 5.3 or 5 1/3 inches

a tank containing 64 gallons lost 6 1/4% through leakage. How much remained in the tank?

Answers

There are still 60 gallons in the tank:)

Answer:

60 gal

Step-by-step explanation:

Identifying the domain and range of the relation.

Answers

Answer:

1. The domain is (-2, -1, 0, 1) the rage is (4,2,0,2) 2. It is a function

Step-by-step explanation:

The domain in a pair is always the first number. The range is always the second number in the ordered pair.

Answer:

Domain: {−2,−1,0,1}

Range: {0,2,4}

Step-by-step explanation:

The domain is all the x-coordinates, but NEEDS TO BE ORDERED, which are {−2,−1,0,1} and you also need to include the curly brackets { }.

The range is all the y-coordinates and also NEEDS TO BE ORDERED, which are {0,2,4} and you also still need to include those curly brackets { }.

Hope this helps and answers your question! :)

Janet collected 4 times as many bags of cans as her friend. If her friend collected 0.87 of a bag,
how much did Janet collect?

Answers

Answer:

Janet collected 3.48 bags of cans

Step-by-step explanation:

The answer is 3.48 because 0.87 multiplied by 4 is 3.48

Answer:

.384

hope this helps!

explain why n(n-1) must be an even number

Answers

Whether n is an even or odd number, you will always have an even number and an odd number multiplying each other. An even number times an odd number is always an even number.

What is the equation of the line with a slope of 3 and a y-intercept of -2, written in slope intercept form?

Answers

Answer:

y=3x-2

Step-by-step explanation:

Slope intercept form is

y=mx+b

m=slope

while

b=y-intercept

So you replace the variable with the number that is equal to it:

(A variable is a letter that is unknown like m and b)

y=3x-2

Hope this helps!

Answer:

y = 3x -2

Step-by-step explanation:

formula: y =mx+b, m is slope

Please help me with this math problem and i will mark u brainliest

Answers

Answer:

202.4 - 27 * 3  Add.

202.4 - 81       Multiply.

121.4               Subtract.

Step-by-step explanation:

I solved it from the "add" step, since you already did the rest. The problem was completed by just following the order of operations: PEMDAS.

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