Diego's family car holds 14 gallons of fuel. Each day the car uses 0.5 gallons of fuel. A warning light comes on when the raining fuel is 1.5 gallons or less. write an inequality to determine the number of days diego's father can drive the car without the warning light coming on.

Answers

Answer 1

Answer:

0.5n < 12.5

n < 25 days

Step-by-step explanation:

Total gallons of fuel = 14 gallons

Warning light comes on when the remaining fuel is 1.5 gallons or less

Gallons of fuel used without warning light = 14 gallons - 1.5 gallons

= 12.5 gallons

Gallons of fuel used per day = 0.5 gallons

Number of days = n

inequality to determine the number of days diego's father can drive the car without the warning light coming on.

0.5n < 12.5

n < 12.5/0.5

n < 25 days


Related Questions

A bag contains 8 red M&Ms, 13 blue M&Ms, 4 brown M&Ms, and 8 green M&Ms. An M&M is picked at random from the bag. What is the probability of picking: A Red M&M:

Answers

Given:

Number of red M&Ms = 8

Number of blue M&Ms = 13

Number of brown M&Ms = 4

Number of green M&Ms = 8

An M&M is picked at random from the bag.

To find:

The probability of picking a red M&M.

Solution:

We have,

Number of red M&Ms = 8

Total number of M&Ms [tex]= 8+13+4+8[/tex]

                                       [tex]=33[/tex]

So, probability of picking a red M&M is:

[tex]\text{Probability}=\dfrac{\text{Number of red M&Ms}}{\text{Total number of M&Ms}}[/tex]

[tex]\text{Probability}=\dfrac{8}{33}[/tex]

Therefore, the probability of picking a red M&M is [tex]\dfrac{8}{33}[/tex].

If the area of a circle is 78.5 cm2, what is the circumference of the circle? Use 3.14 for

Answers

Answer:

25

Step-by-step explanation:

you might wanna use a calculator

Which of the following is not an integer? I need help!

0.54
0
-45
17

Answers

Answer:

0.54

Step-by-step explanation:

An integer is a WHOLE number without any fractional parts. Integers can be negative as long as it's a whole number.

.54 is not an integer.

Paula is making posters for the school election. The table shows the number of posters, , she can make in m minutes. which equation represents the relationship between the number of posters she can make and the time and minutes it takes her to make the posters. please help​

Answers

Answer:

KitKat

Step-by-step explanationKitKat

What would you have liked to learn in Art, that you haven't learned?
Please answer my question, I'm doing a Graffiti Project in Art!! ASAP!

Answers

Say “ I would like to learn 3-D shapes and painting self portraits”

Hmm I would like to to learn to draw comics or basically be a comic artist, and wow I’ve never tried graffiti :)

1/5, 0.25, 20.5%, 4/25, 0.22

Answers

Answer 22%

Step-by-step explanation:

Answer:

so I guess I have to put those numbers in a order.

smallest to largest:

4/25, 1/5, 20.5%, 0.22, 0.25

largest to smallest:

0.25, 0.22, 20.5%, 1/5, 4/25

Step-by-step explanation:

1/5 = 0.2

20.5% = 0.205

4/25 = 0.16

Have a nice day!

The circumference of a circle is 6π m. What is the area, in square meters? Express your answer in terms of \piπ.

Answers

Answer:

Area = 9π sq. m.

Step-by-step explanation:

C = πd

6π = πd

d = 6

r = 3

A = π[tex]r^{2}[/tex] = π[tex]3^{2}[/tex] =  9π sq. m.

Let X and Y be the following sets: X = {0, 12, 23} Y = {3, 12, 15) Which of the following is the set X/Y?​

Answers

Answer:

set X/Y = {0,23}

Step-by-step explanation:

We are given the sets;

X = {0, 12, 23}

Y = {3, 12, 15}

Now, we want to find the set X/Y.

The set X/Y means the set that has numbers which are only in set X but not in set Y.

The numbers from inspection of both sets are 0 and 23.

Thus;

set X/Y = {0,23}

what is negative 8 plus ninety two

Answers

Answer:84

Step-by-step explanation:

-8+92

Lo puedes dar la vuelta

92-8= 84

Answer:

84

Step-by-step explanation:

So -8 + 92 = 92 - 8

   92

-     8

______

   84

So, -8 + 92 = 84

hope this helps:)

I WILL GIVE BRAINLIEST.

(-a)n is negative

If a is a real number and n is a positive integer, which of the following represents all values of a and n such that the above
statement is true?

A. {a | a is positive) and {n | n is even}
B. {a | a is negative } and for {n| n is odd}
C. {a | a is negative} and {n | n is even}
D. {a | a is positive} and {n | n is odd}



Answers

Answer:

(-a)n is negative  number, and since you did not provide a clear first option, I will assume the answer is none of the above. However, the accurate answer is C

Step-by-step explanation:

Multiply polynomials

Answers

Answer -2x^4 - 2x^3 + 22x^2 - 30x + 12

Here's your solution

=> (2x^2 - 4x + 2) - (x^2 + 3x - 6)

=> (2x^2 - 4x + 2) -x^2 - 3x + 6

=> firstly multiple whole with -x^2

=> -x^2(2x^2 - 4x + 2) = -2x^4 + 4x^3 - 2x^2

=> now with -3x

=> -3x(2x^2 - 4x + 2) = -6x^3 +12x^2 -6x

=> with 6

=> 6(2x^2 - 4x + 2) = 12x^2 - 24x + 12

=> now add all terms

=> -2x^4 - 2x^3 + 22x^2 - 30x + 12

hope it helps and your day will be full of happiness ^_^

Help me with a this and get brain thing the 1st one

Answers

Yes they are similar triangles
The answer is yes they are similar triangles

A tangent to a circle is a line that cuts it in exactly 1 point.
true or false

Answers

I think the answer is faulse

Answer:

true

Step-by-step explanation:

because it touches the end of the circle it doesn't intersect in more than one

pls helppp! thank you so much

Answers

Cge I believe hope this helps

Between​ 12:00 PM and​ 1:00 PM, cars arrive at a local​ bank's drive-thru at the rate of cars per hour ​( car per​ minute). The formula below from probability can be used to determine the probability that a car will arrive within t minutes of​ 12:00 PM. Use this information to answer the questions given below in parts ​(a)​(e).

Answers

Complete question :

Between 12:00 PM and 1:00 PM, cars arrive at Citibank’s drive-thru at the rate of 6 cars per hour (0.1 car per minute). The following formula from statistics can be used to determine the probability that a car will arrive within t minutes of 12:00 PM. F(t)=1−e^−0.1t

Determine how many minutes are needed for the probability to reach 80%.

Answer:

16.09 minutes

Step-by-step explanation:

Given the function :

F(t)=1−e^−0.1t

To attain 80% probability ; 80% = 0.8

0.8 = 1 - e^-0.1t

0.8 - 1 = - e^-0.1t

-0.2 = - e^-0.1t

Take the In of both sides

In(0.2) = In( e^-0.1t)

−1.609437 = - 0.1t

Divide both sides by - 0.1

−1.609437 / -0.1 = - 0.1t / 0.1

16.09 = t

Hence, the time it'll take will be 16.09 minutes

Answer:

80/100=0.80

.8=1-e^-0.3t

.8+1=-e^-0.3t

1.8=-e^-.3t

t=5.36

Step-by-step explanation:

1. A spinner has 5 equal sectors numbered 1 through 5. What is the probability that the result of a spin will be an odd number?
* Will be remarked as Brainliest*

Answers

Answer:

60%

Step-by-step explanation:

Possible numebrs that can be picked are 1,2,3,4,5

The only odd numbers are 1,3,5

3 odd numbers out of 5 possible numbers

3/5=0.6=60%

a fair number cube with faces numbered 1 through 6 was rolled 12 times the cube landed with the number to face up six times what is the difference between the experiment probability and the theorical probability of the number two landing face up


1/3


1/2


1/6


2/3​

Answers

Answer:

ri1/2 you should mark the other person brainliest

Step-by-step explanation:

TIMER !! HELP!!

We KNOW that the______ is going to be located SOMEWHERE on the Axis of Symmetry (theblue Dashed Line)
A . Vertex
B. Y - intercepts
C. zeros
D. mirror points

Answers

Answer:

A

Step-by-step explanation:

The vertex of a parabola lies on the axis of symmetry.

someone help please!!!!

Answers

Answer:

y=4x+3

Step-by-step explanation:

Slope of the line is 4

So the equation of the parallel line is y=4x+b

To find b we use the points

-5=(4)(-2)+b

Solve

-5=-8+b

3=b

Then submit the values

y=4x+3

x2 + 7y if x = -5 and y = -8

Answers

Answer:

x2 + 7y = -64 (if x = -5 and y = -8)

Step-by-step explanation:

x2 + 7y

(-5 × 2) + (7 × -8)

-10 + -54 which is the same as -10 - 54

-64

The value of expression x² + 7y at x = - 5 and y = - 8 is, - 31.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

The expression is,

⇒ x² + 7y

And, x = - 5 and y = - 8

Now, Substitute the value of x and y in the expression, we get;

⇒ x² + 7y

⇒ (-5)² + 7×- 8

⇒ 25 - 56

⇒ - 31

Thus, The value of expression is, - 31.

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ2

A man is four times as old as his son. In five years he will be only three times as old as his
son. What is the man's present age?

Answers

Answer and working out attached, hope this helps

Use the box method to distribute and simplify (5x – 3) (-4x – 5). Drag and drop
the terms to the correct locations of the table.
(5x – 3) (- 4x – 5)
NEED HELEOEO

Answers

Answer:

your answer is below

-20x +15

how to do this question ​

Answers

9514 1404 393

Answer:

  7 days

Step-by-step explanation:

(a) Filling in the given information will result in two equations in the two unknowns. Dividing one by the other will tell you the value of b.

n=2

  1.8 = A₀·b²

n=3

  2.4 = A₀·b³

Dividing the second equation by the first gives ...

  2.4/1.8 = (A₀·b³)/(A₀·b²) = b

  4/3 = b

__

(b) Substituting this into the first equation, we can find A₀.

  1.8 = A₀·(4/3)²

  1.8(9/16) = A₀ = 1.0125

A₀ is the value of A when n=0. It is the area of the patch at the beginning of observation, before any days passed.

__

(c) The area will be 7 cm when ...

  1.0125·(4/3)^n = 7

  (4/3)^n = 7/1.0125 . . . . . . . . . . . . divide by A₀

  n·log(4/3) = log(7/1.0125) . . . . . . take logarithms

  n = log(7/1.0125)/log(4/3) ≈ 6.72092

It will take about 7 days for the area of the patch to exceed 7 cm.

Use the box method to distribute and simplify (-x + 3)(4x + 4). Drag and
drop the terms to the correct locations of the table.

Answers

look at png sorry i need to type 20 characters but the chart explains everything

simplify your answer but adding/subtracting like terms

Which graphic organizer correctly groups the following four numbers?

3.4 -2 3 -1.2

Answers

The answer is -1.2 , -2, 3, 3.4

How many milliliters are 1/5 liter

Answers

1/5 liters = 200 milliliters

Careers that require a college education often utilize ____________ skills.
A.
professional
B.
vocational
C.
basic
D.
direct

Answers

A. professional skills

Answer:

the correct answer is A professional

Step-by-step explanation:

Name two triangles that are congruent by ASA.

Answers

Answer:

correct

Step-by-step explanation:

Angle-Side-Angle (ASA) Postulate:

If two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent.

<C = <G

CA = GD

<A = <D

Triangle CAT = Triangle GDO are the two triangles that are congruent by the ASA Postulate.

I need help on this math problem plz show work and answer plz thx

Answers

Step-by-step explanation:

.............. just for filling 20 characters

Mariela bought gas for her car. Gas costs $2.12 per gallon, and
Mariela bought 23.5 gallons. How much did Mariela spend on gas?
Round to the nearest cent.

Answers

Answer:

$49.82

Step-by-step explanation:

Since each gallon is $2.12 you would just do $2.12 times 23.5 which equals $49.82. So Mariela spent $49.82 on gas

49.82, You have to multiply the cost of each gallon with the gallons all together (23.5) and you will get 49.82.
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