Some people advise that in very cold​ weather, you should keep the gas tank in your car more than half full. Irene​'s car had 6.4 gallons in the 14​-gallon tank on the coldest day of the year. Irene filled the tank with gas that cost ​$3.90 per gallon. How much did Irene spend on​ gas?

Answers

Answer 1

Answer:

$24.96

Step-by-step explanation:

Total number of gallons irede had in his tank = 6.4gallons

Price per gallon is $3.90

To get the cost of 6.4gallons;

If 1 gallon = $3.90

6.4gallons = $x

Cross multiply

1 * x = 3.90 * 6.4

x = 24.96

Hence Irene spent $24.96 on gas


Related Questions

Please answer correctly !!!!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!

Answers

Answer:

15

Step-by-step explanation:

its the same as the other angle on there

Answer:

15

Step-by-step explanation:

They are alternate exterior angles, meaning they are the same!!

What is the equation of the line with a slope of 2 through (–4, 6) in point-slope form?

Answers

In point-slope form, the equation is :

Y-6=2(x+4)

Hope this helps✨❤️

Which system of equations is represented by this graph?

Answers

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[tex]y = 2x + 3[/tex]

[tex]y = - \frac{1}{2} x - 3 \\ [/tex]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Please Show Your Work All My Points Please Help Me!!!!! 6x^2+8x-6=2-2x-2

Answers

Answer:

6x^2+10x-6=0

Step-by-step explanation:

First, you need to add all like terms:

6x^2+8x-6=-2x

Now move the -2x to the other side:

6x^2+10x-6=0

Answer:

x =(-5+√61)/6= 0.468

or:

x =(-5-√61)/6=-2.135

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    6*x^2+8*x-6-(2-2*x-2)=0  

Step by step solution :

STEP 1 :

The Equation at the end of step 1

 (((2•3x2) +  8x) -  6) -  -2x  = 0  

STEP 2 :

STEP 3 :

Pulling out like terms

3.1     Pull out like factors :

  6x2 + 10x - 6  =   2 • (3x2 + 5x - 3)  

Trying to factor by splitting the middle term

3.2     Factoring  3x2 + 5x - 3  

The first term is,  3x2  its coefficient is  3.

The middle term is,  +5x  its coefficient is  5.

The last term, "the constant", is  -3  

Step-1: Multiply the coefficient of the first term by the constant   3 • -3 = -9  

Step-2: Find two factors of  -9  whose sum equals the coefficient of the middle term, which is   5.

     -9    +    1    =    -8  

     -3    +    3    =    0  

     -1    +    9    =    8  

Observation: No two such factors can be found !!

Conclusion: Trinomial can not be factored

The Equation at the end of step 3 :

 2 • (3x2 + 5x - 3)  = 0  

STEP 4 :

Equations which are never true:

4.1      Solve :    2   =  0

This equation has no solution.

A non-zero constant never equals zero.

Parabola, Finding the Vertex:

4.2      Find the Vertex of y = 3x2+5x-3

Parabolas have the highest or lowest point called the Vertex.   Our parabola opens up and accordingly has the lowest point (AKA absolute minimum).   We know this even before plotting  "y"  because the coefficient of the first term, 3, is positive (greater than zero).  

Each parabola has a vertical line of symmetry that passes through its vertex. Because of this symmetry, the line of symmetry would, for example, pass through the midpoint of the two x-intercepts (roots or solutions) of the parabola. That is if the parabola has indeed two real solutions.  

Parabolas can model many real-life situations, such as the height above ground, of an object thrown upward, after some period of time. The vertex of the parabola can provide us with information, such as the maximum height that an object, thrown upwards, can reach. For this reason, we want to be able to find the coordinates of the vertex.  

For any parabola, Ax2+Bx+C, the x -coordinate of the vertex is given by  -B/(2A). In our case, the  x  coordinate is  -0.8333  

Plugging into the parabola formula  -0.8333  for  x  we can calculate the  y -coordinate :  

 y = 3.0 * -0.83 * -0.83 + 5.0 * -0.83 - 3.0

or   y = -5.083

Parabola, Graphing Vertex, and X-Intercepts :

Root plot for :  y = 3x2+5x-3

Axis of Symmetry (dashed)  {x}={-0.83}  

Vertex at  {x,y} = {-0.83,-5.08}  

x -Intercepts (Roots) :

Root 1 at  {x,y} = {-2.14, 0.00}  

Root 2 at  {x,y} = { 0.47, 0.00}  

Solve Quadratic Equation by Completing The Square

4.3     Solving   3x2+5x-3 = 0 by Completing The Square.

Divide both sides of the equation by  3  to have 1 as the coefficient of the first term :

  x2+(5/3)x-1 = 0

Add  1  to both side of the equation :

  x2+(5/3)x = 1

Now the clever bit: Take the coefficient of  x, which is  5/3, divide by two, giving  5/6, and finally square it giving  25/36  

Add  25/36  to both sides of the equation :

 On the right-hand side we have :

  1  +  25/36    or,  (1/1)+(25/36)  

 The common denominator of the two fractions is  36   Adding  (36/36)+(25/36)  gives  61/36  

 So adding to both sides we finally get :

  x2+(5/3)x+(25/36) = 61/36

Adding  25/36  has completed the left-hand side into a perfect square :

  x2+(5/3)x+(25/36)  =

  (x+(5/6)) • (x+(5/6))  =

 (x+(5/6))2

Things which are equal to the same thing are also equal to one another. Since

  x2+(5/3)x+(25/36) = 61/36 and

  x2+(5/3)x+(25/36) = (x+(5/6))2

then, according to the law of transitivity,

  (x+(5/6))2 = 61/36

We'll refer to this Equation as  Eq. #4.3.1  

The Square Root Principle says that When two things are equal, their square roots are equal.

Note that the square root of

  (x+(5/6))2   is

  (x+(5/6))2/2 =

 (x+(5/6))1 =

  x+(5/6)

Now, applying the Square Root Principle to  Eq. #4.3.1  we get:

  x+(5/6) = √ 61/36

Subtract  5/6  from both sides to obtain:

  x = -5/6 + √ 61/36

Since a square root has two values, one positive and the other negative

  x2 + (5/3)x - 1 = 0

  has two solutions:

 x = -5/6 + √ 61/36

  or

 x = -5/6 - √ 61/36

Note that  √ 61/36 can be written as

 √ 61  / √ 36   which is √ 61  / 6

Solve Quadratic Equation using the Quadratic Formula

4.4     Solving    3x2+5x-3 = 0 by the Quadratic Formula.

According to the Quadratic Formula,  x, the solution for   Ax2+Bx+C  = 0, where  A, B,  and  C are numbers, often called coefficients, is given by :

                                     

           - B  ±  √ B2-4AC

 x =   ————————

                     2A

 In our case,  A   =     3

                     B   =    5

                     C   =   -3

Accordingly,  B2  -  4AC   =

                    25 - (-36) =

                    61

Applying the quadratic formula :

              -5 ± √ 61

  x  =    —————

                   6

 √ 61, rounded to 4 decimal digits, is   7.8102

So now we are looking at:

          x  =  ( -5 ±  7.810 ) / 6

Two real solutions:

x =(-5+√61)/6= 0.468

or:

x =(-5-√61)/6=-2.135

HOPE THIS HELPS!

PLEASE MARK BRAINLIEST IF THIS HELPED YOU LEARN! :)

someone pls help and dont troll

Answers

Answer: A

Step-by-step explanation:

2x + 9 = 15

2x = 6

x = 3

2x+9 = -15

2x = -24

x = -12

2x+9=15 or 2x+9=-15

- Case 1: 2x+9=15. Then 2x=15-9=6. Thus, x=3.
- Case 2: 2x+9=-15. Then 2x=-15-9=-24. Thus x=-12.

Hence x=3 or x=-12.

What is the circumference of a circle
with radius 64 inches? Write your answer
using PI.

Answers

Answer:

C≈402.12in

Step-by-step explanation:

The circumference of a circle is equal to pi times the diameter. The diameter is two times the radius, so the equation for the circumference of a circle using the radius is two times pi times the radius

without using mathematical tables or calculators, evaluate 0.09 * 1.21 / 3.3 * 0.00024 leaving your answer in standard form(scientific notation)​

Answers

Answer:

Step-by-step explanation:

[tex]0.09* \frac{1.21}{3.3}*0.00024= 0.09 * \frac{1.21*10}{3.3*10}*0.00024\\\\=0.09*\frac{12.1}{33}*0.00024\\\\= 0.09 * \frac{1.1}{3}*0.00024\\\\= 0.09 * 1.1 * 0.00008[/tex]

= 0.00000792

= 7.92 * [tex]10^{-6}[/tex]

Logan weighed two buckets of sand for a geology project. The first bucket weighed 5.19 pounds. The other bucket weighed 9.01 pounds. How much do the two buckets of sand weigh all together?

Answers

Answer:

14.2

Step-by-step explanation:

you just have to add both of the numbers shown in the question

Solve 6x^2-2x+1=0 using any method.

Answers

Answer:

[tex]x=\frac{1-\sqrt{-5} }{6}\\x=\frac{1+\sqrt{-5} }{6}[/tex]

There are no real roots.

Step-by-step explanation:

[tex]6x^2-2x+1=0\\x=\frac{2-\sqrt{2^2-4*6} }{2*6} \\x=\frac{2-\sqrt{-20} }{12}\\x=\frac{1-\sqrt{-5} }{6}\\x=\frac{1+\sqrt{-5} }{6}[/tex]

the ratio the ratio of two numbers is 5:6 . find the sum of two numbers is 55. find the number​

Answers

Answer:

25 and 30

Step-by-step explanation:

Given the ratio of 2 numbers is 5 : 6 = 5x : 6x ( x is a multiplier ), then

5x + 6x = 55, that is

11x = 55 ( divide both sides by 11 )

x = 5

Thus

5x = 5 × 5 = 25

6x = 6 × 5 = 30

Then the 2 numbers are 25 and 30

can someone help me pls?​

Answers

Answer: yes it has gone down 1/5th because the answer would be 27 and that is a lot lower than the other numbers.

Step-by-step explanation:

162 minus 135 = 27

ethansledd17 come here! what is 300 divided by 5?

Answers

Answer:

60

Step-by-step explanation:

Are You Ready for More?
AB is parallel to CD.
Determine the value of x.
Use the sketch tool if it helps you with your thinking.
А
B
degrees
50°
Submit
o
30°
С
D

Answers

The answer would be B

What is the definition of a number trick? (Math)

Answers

Answer:

How does the number trick work?

Trick 1: Think of a number

Pick a whole number between 1 and 10.

Add 2.

Multiply by 2.

Subtract 2.

Divide by 2.

Subtract your original number.

Everyone's final answer will be 1.

Step-by-step explanation:

The Number 5 Trick. Ask somebody to think of a number and keep it secret. Then ask that person to double the secret number and then multiply by 5. Ask for the total. Whatever the total is, knock off the last digit and you will have the secret number the person mentally chose at the start.

LEMMEBE HONEST

I HAVE NO IDEAAAA

“Think-of-a-number” tricks

These tricks come in two types: Think of a number (but don't tell me), do some arithmetic with that number, and I can predict your result. Think of a number, do some arithmetic, tell me your result, and I can instantly say what number you started with.

Hope this helps!

Sending U good luck!

Solve each triangle using the information provided. If necessary, round to the
nearest tenth.

Answers

Answer:

1) B = 66.5° c = 10.9

Step-by-step explanation:

I will do question one as an example. In general, for these questions you want to use the appropriate trigonometric ratios to solve for the variables and/or apply logic using rules regarding triangles. See attached image for all solving steps.

For side c, we can use Cosine of angle A for a ratio between 10 and c. When we write out the equation, we can solve for side c. So when we write it out, we get the equation:

cos23.5 = ¹⁰⁄c

c = ¹⁰⁄cos₂₃.₅

c = 10.9044 (make sure to round to the nearest tenth, which is one decimal place)

For angle B, since they have given two angles, you can solve for B since all angles of a triangle add up to 180 degrees.

So b = 180 - (90 + 23.5) = 180 - 113.5

b = 66.5

It is also possible to solve this using sine of angle B and solve it from there, but applying the theory this way is much simpler. (this is on the image if you're curious about it)

I hope this helps you with the other 3 questions.

Please help me.......

Answers

Answer:

x=206

Step-by-step explanation:

A company that makes hair-care products had 9,000 people try the new shampoo. Of the 9,000 people, 36 had a mild allergic reaction. Wht percent of the people had a mild mild allergic reaction?

Answers

Answer:

0.4% of the people had a mild allergic reaction.

Step-by-step explanation:

You can find the percent of the people that had a mild allergic reaction using a rule of three as you know that 9,000 people tried the new shampoo which would be the 100% and you can find the percent that represents 36 people:

9,000 → 100%

  36    →   x

x=(36*100)/9,000

x=0.4%

According to this, the answer is that 0.4% of the people had a mild allergic reaction.

How does your current (or future) employment affect your Social Security or Medicare benefits?

Answers

Answer:

Step-by-step explanation:

Receiving Social Security Income While Working. In the year you reach full retirement age, your benefits will be reduced by $1 for every $3 you earn above $48,600 for 2020 and $50,520 for 2021. 6  Starting with the month you attain full retirement age, your benefits will no longer be reduced.

Prove that DE is parallel to BC.
Please help, will award brainliest.

Answers

Answer:

see explanation

Step-by-step explanation:

Parallel lines have equal slopes.

To find D and E use the midpoint formula

Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

( [tex]\frac{x_{1}+x_{2} }{2}[/tex], [tex]\frac{y_{1}+y_{2} }{2}[/tex] )

Here (x₁, y₁ ) = A(4, 6) and (x₂, y₂ ) = B(2, - 2) , then

D = ([tex]\frac{4+2}{2}[/tex], [tex]\frac{6-2}{2}[/tex] ) = (3, 2 ) and

let (x₁, y₁ ) = B(2, - 2[tex]\frac{-4+2}{-2-2}[/tex] ) and (x₂, y₂ ) = C(- 2, - 4 ), then

E = ( [tex]\frac{4-2}{2}[/tex], [tex]\frac{6-4}{2}[/tex] ) = (1, 1 )

Use the slope formula to find slopes of DE and BC

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = D(3, 2) and (x₂, y₂ ) = E(1, 1), then

[tex]m_{DE}[/tex] = [tex]\frac{1-2}{1-3}[/tex] = [tex]\frac{-1}{-2}[/tex] = [tex]\frac{1}{2}[/tex]

Repeat with (x₁, y₁ ) = B(2, - 2) and (x₂, y₂ ) = C(- 2, - 4), then

[tex]m_{BC}[/tex] = [tex]\frac{-4+2}{-2-2}[/tex] = [tex]\frac{-2}{-4}[/tex] = [tex]\frac{1}{2}[/tex]

Since the slopes are equal then DE and BC are parallel lines

Anwser


I know he anwsered it but I really want to level up so can you please give me Brainliest

If a bus travels 200 miles in 5 hours what was the average speed of the bus in miles per hour

Answers

Answer:

ths answrs is 40 miles pwr hour becUsd 200/5=40

Answer:The average speed  the bus was going is 40 mph

Step-by-step explanation: 200÷5=40

Can you mark me brainliest

Two friends argue over who brushes their teeth more often. To settle the argument, they keep track of the number of mornings and nights they brush and calculate a probability. These are shown in the table.

Answers

Using the probability concept, the correct option regarding who is more likely to brush both in the morning and in the evening is:

B. Arabella. She has a 0.64 probability of brushing both times.

What is a probability?

A probability is given by the number of desired outcomes divided by the number of total outcomes.

Considering that the events are independent, we just multiply the probabilities, hence the probability of each brushing both times is given as follows:

Braxton: 0.85 x 0.72 = 0.612.Arabella: 0.79 x 0.81 = 0.64.

Hence statement B is correct, as 0.64 > 0.612.

More can be learned about probabilities at https://brainly.com/question/14398287

#SPJ1

Simplify the expression:

–3(9 − x) =

Answers

Answer:

Expand  [tex]-3(9-x): -27 + 3x[/tex]

Step-by-step explanation:

[tex]-3(9-x)[/tex]

Apply the distributive law: [tex]a(b-c)=ab-ac[/tex]

[tex]a = -3, b=9, c=x[/tex]

[tex]=-3*9-(-3)x[/tex]

Apply minus - plus rules:

[tex]-(-a)=a[/tex]

[tex]= -3*9+3x[/tex]

Multiply the numbers: [tex]3 * 9 = 27[/tex]

[tex]=-27+3x[/tex]

Hope this helps! If so, may I get Brainliest and a Thanks?

Thank you, have a good one! =)

What is the domain and the range for this graph

Answers

Answer:

Domain:(0,infinite)

Range:(5,infinite)

Step-by-step explanation:

Answer:

D = 0, 1, 2, 3, 4, 5

R = 20, 40, 80, 160

WILL GET 15 POINTS AND MARKED BRAINLINESt


1. Create your own expression that contains at least one operation and one variable.


example: 5x


2. Describe a situation that your expression can model.


example: x represents the price of a pound of grapes, in dollars. Cheryl buys 5 pounds of grapes. The cost of Cheryl's grapes can be modeled by 5x

Answers

Answer:

4x+5

Step-by-step explanation:

4x represents making 4 dollars per hour and 5 represent the amount of money you began with

Answer:

1) 2x

2) x represent how many candy a person have

2 is the amount of person

The total candy canbe modeled by 2x

Step-by-step explanation:

A store owner wants to advertise his store in magazines that most of his shoppers are likely to read. He takes a survey to determine the ratio of females to males that shop at his store each day. The chart represents the number of females and males that shop at his store on average each day. Which statement identifies the ratio of females to males that shop at his store and who he should focu

Answers

Answer:

Step-by-step explanation:

Nshsdhdhdhdjsdnddndnd

Answer:

Step-by-step explanation:

5:2

solve :
2(3x + 6) = 18

Answers

Answer:

2(3x+6)=18

6x+12=18

6x+12-12+18-12

6x=6

6x/6=6/6

x=1

Step-by-step explanation:

The price of an item yesterday was $180. Today, the price rose to $279. Find the percentage increase.
HELPPP
PLEASSE
DONT SWIPE PAST:,(
I SAW THATTT
My b for accusing you:,)

Answers

Step-by-step explanation:

Percentage increase = (279 - 180)/180 x 100% = 55%

this is a topic on percentage. the above question requires a use of a kind of formula if you wish to explore more into this topic you can give me a follow on Instagram (learntionary) I've already posted some notes on this topic and will be doing more on others and also I'll be providing tips on some topics as well!

Answer:

55% increase

Step-by-step explanation:

First I want to say I recommend using sites like Calculator soup, and finding the option "percent increase calculator", for problems like these instead of wasting any points that you could use later on, and Secondly (happy to help), oof and third:

1) subtract the final value minus the starting value

279 - 180= 99

2) Divide that amount by the absolute value of the starting value

99 divided by 180 equals .55

3) Multiply by 100 to get percent increase

changes to 55.00 (final answer 55%)

4) If the percentage is negative, it means there was a decrease and not an increase.

Percentage Increase Formula

Skyler is buying wings and quesadillas for a party. A package of wings costs $8.00. A package of quesadillas cost $10.00. He must spend no more than $160.00. Skyler's freezer will hold a maximum of 20 packages of wings and quesadillas. Write a system of linear inequalities to represent the situation.

Answers

Answer:

The system of inequalities are;

q + w ≤ 20

8w + 10q ≤ 160

Step-by-step explanation:

Let the number of wigs be w and the number of quesadillas be q

Since we have a maximum of 20 packages;

then;

q + w ≤ 20

Let’s now work with the prices

price of w wings is 8 * w =$8w

price of q quesadillas is 10 * q = 10q

The maximum amount to spend is $160

Thus, the addition will be;

8w + 10q ≤ 160

1/4 kilometer in 1/3 hour?

Answers

Answer:

That means it will take you 1 and 1/3 hour to go a kilometer.

I FORGOT HOW TO DO THIS I NEED HELP ASAP!!!

Answers

Slope form: y=mx + b
slope is 2/5, fill into equation
Y = 2/5x + b
Plug in point to find b
1 = 2/5(0) + b
1 = 0 + b, b = 1
The answer is A. Y = 2/5x + 1
Other Questions
A small company manufactures a certain item and sells it online. The company has a business model where the cost C, in dollars, to make x items is given by the equation C = 20/3x + 50band the revenue R, in dollars, made by selling x items is given by the equation R = 10x . The break-even point is the point where the cost and revenue equations intersect.Graph the cost and revenue equations on the xy-coordinate plane provided. Select the "Line" tool. Plot two points, then a line will connect the points. why are annowwhisker used to repel stains on fabrics If any portion of a long-term debt is to be paid in the next year, the entire debt should be classified as a current liability. A. True B. False Please help me and Ill give you brainiest!!!!!!!!! Have a wonderful day!!:))) was once part of "New France." The Articles of Confederation a. went into effect when nine states ratified the document. b. were ratified by every state except Rhode Island. c. created a central government with limited powers and no president. d. created a strong central government with two congressional delegates from each state. Please select the best answer from the choices provided A B C D pls help ill give brainlist Hurry!!!Which of the following countries did the Roman empire NOT trade with?a.Gaulc.Chinab.Western Germanyd.Russia g A decline in the quantity of real output demanded along the aggregate demand curve is a result of a(n): Animal and plant organs are organized into organ systems, thus resembling the way you organize PLEASE HURRY, BRAINLIEST??Jude graphed the inequality s A number line going from negative 12 to negative 4. A closed circle is at negative 9. Everything to the left of the circle is shaded.Is his graph correct? Explain why or why not. In Michigan, Wisconsin, and Minnesota loggers harvested over ______ million acres of trees.Fill in the blank What two other cities could traders reach by land routes that led from Kilwa? please answer all of this please!!... Which pair of complex numbers has a real-number product?O (1 + 2i) (8i)0 (1 + 2i) (2 - 5i)O (1 + 2i) (1 2i)O (1 + 2i)(4i) What equation represents the line shownA.y=2x+2B.y=-2x+2C.y=1/2x+2D.y=1/2x+-2 What happens to the electrical energy that does not become light energy?A. The lightbulb transforms it into mechanical energy,B. The lightbulb transforms it into thermal energy.C. Some of the energy is destroyed over time rather than beingconservedD. New energy is produced in the system when the lightbulb createslight energy- PREVIOUSNEXT-> In a paragraph, evaluate how well the rest of the Constitution reects the social contract. Be sure your answer clearly explains the social contract and describes it within the Constitution's articles. During the twentieth century, farmers increasingly shifted their focus together as demand for cotton fell.A wheatB livestockC. renewable resourcesD. fishing PLEASEEEEE HELP! Drag the numbers to the correct locations in the equation. Each number can be used more than once, but not all numbers will be used. The average commute time, in minutes, in relation to the population, in millions, of 10 major cities is shown in the table. What is the square root equation that best models this set of data?