Camila is driving on a long road trip. She currently has 10 gallons of gas in her car. Each hour that she drives, her car uses up 1.75 gallons of gas. How much gas would be in the tank after driving for 3 hours? How much gas would be left after tt hours?

Answer: 11,500 grams

Step-by-step explanation: 920/8=115 115*100= 11,500

Answer:

true false false true true

Answer:

20

Step-by-step explanation:

4+4+6+6=20

(JUST WHAT SHE SAID)(SORRY FOR THE CAPS HERE)

Answer:

13.5/1.5 = 9

9/1.5 = 6

6/1.5 = 4

4/1.5 ≈ 2.7

Answer: 27 students

Step-by-step explanation:

First take 45 + 90 = 135 students total

20% = 0.2

Then take 135 times 0.2 = 27 students

Answer:

-6

(3*2)-12

6-12

-6

Step-by-step explanation:

Answer:

\(f(2) = -6\)

Step-by-step explanation:

\(f(x) = 3x - 12\)

\(f(2) = 3(2) - 12\)

\(f(2) = 6 - 12\)

\(f(2) = -6\)

Answer:

Step-by-step explanation:

let  x = number of students

Science Center will charge total of 135 + 3x

Dino Discovery Museum will charge total of 6x

for what x the Science Center charge less than the Dino Discovery museum that is

135 + 3x < 6x

135 < 6x - 3x

3x > 135

x > 135/3

x > 45

The Science Center charge less than the Dino Discovery museum for more then 45 students.

45students will the science center charge less than the dino discovery museum

What is Algebra?

One of the many branches of mathematics is algebra. Algebra, which is a common thread throughout practically all of mathematics, is broadly defined as the study of mathematical symbols and the rules for manipulating these symbols in formulas.

Suppose x is the number of Students

Total fees for Science Center will be,

135+3x.

Total fees for the Dino Discovery Museum will be 6x.

The Science Center charges a lower price than the Dino Discovery Museum for what x.

135 + 3x < 6x

135 < 6x - 3x

3x > 135

x > 135/3

x > 45

Hence, For classes with more than 45 Students, the Science Center charges less than the Dino Discovery Museum.

To learn more about Algebra click on the link

https://brainly.com/question/22399890

#SPJ2

In the analyze stage of the data life cycle, the data analyst will use the spreadsheet to aggregate the data and use the formulas to perform the calculations

The data life cycle is defined as the time period that that data exist in you system. Usually the data management experts finds the six or more stages in the data life cycle

The data analyst is the person who use the interpreted data and analyze the data in order to solve the problems

The analyze stage is the one of the main stages of the data life cycle. In the stage data analyst will use the spreadsheet to aggregate the data in the system and use the formulas to perform the calculations in the system

Therefore, the data analyst will use the spreadsheet to aggregate the data and use the formulas to perform the calculations

Learn more about data life cycle here

brainly.com/question/28039445

#SPJ4

A linear equation in point-slope form to find the signup fee is y = 11x + 35.

Mathematically, the point-slope form of a straight line can be calculated by using this mathematical expression:

y - y₁ = m(x - x₁)

Where:

At data point (4, 79), a linear equation of this line can be calculated in slope-intercept form as follows:

y - y₁ = m(x - x₁)

y - 79 = 11(x - 4)

y = 11x - 44 + 79

y = 11x + 35

Read more on slope here: brainly.com/question/3493733

#SPJ1

The correct statement true about the two points of intersection in Step 3 is,

⇒ They are the same distance from AB.

A line segment is a part of line having two endpoints and it is bounded by two distinct end points and contain every point on the line that is between its endpoint.

Given that;

Steps are,

Step 1: Place a compass at A. Use a compass setting that is greater than half the length of AB and draw an arc.

Step 2: Keep the same compass setting. Place the compass at B. Draw an arc.

Step 3: Draw a line through the two points of intersection of the arcs.

Now, Cleary this method is used to divide a line in two equal parts.

Hence, The correct statement true about the two points of intersection in Step 3 is,

⇒ They are the same distance from AB.

Learn more about the number line visit:

brainly.com/question/28223520

#SPJ1

The product of 3/24 and 3/45 is 1/120.

To find the product of 3/24 and 3/45, we simply multiply the numerators and denominators:

(3/24) * (3/45) = (3 * 3) / (24 * 45) = 9 / 1080

Now, we can simplify the fraction by dividing the numerator and denominator by their greatest common divisor (GCD). The GCD of 9 and 1080 is 9, so we divide both by 9:

9 / 1080 = 1 / 120

Therefore, the product of 3/24 and 3/45 is 1/120.

The other expressions given are unrelated to the product of 3/24 and 3/45. If you have further questions or would like an explanation for those expressions

for such more question on fraction

https://brainly.com/question/1622425

#SPJ8

The null and alternative hypotheses are-

The null and alternate hypothesis must be formulated as two opposed and mutually excluding hypotheses for hypothesis testing.

A specific laptop model's battery has a typical life of more than 9 hours, according to the claim.

For this assertion, we form:

Null hypothesis H₀; μ ≤ 9

Alternative hypothesis Hₐ: μ > 9

The assertion is represented by the alternative hypothesis in this right-tailed test.

To know more about the alternate hypothesis, here

https://brainly.com/question/26185548

#SPJ4

In linear equations,   x = 5 is value of x .

What are instances of linear equations?

-7x-3x+2=-8x-8

-7x -3x + 8x = -8 - 2

 -10x + 8x = -10

  -2x = -10

   x = 5

Learn more about linear equation

brainly.com/question/11897796

#SPJ9

Answer:

6x + 9y - 6z = 30

Step-by-step explanation:

5х + 9у – 6z = 30 – 1x ​

5x + 9y - 6z + 1x = 30

6x + 9y - 6z = 30

Answer:    10. equal 0.27

                  11. 5.12

                  12. 3.35

Step-by-step explanation:

10. 0.9 * 0.3 = 0.27

11. 1.6 * 3.2 = 5.12

12. 0.5 * 6.7 = 3.35

13. 0.81*7.3 = 5.873

14. 5.6*3.9 = 21.84

15. 1.2 * 0.05 = 0.06

45 different choices of pens you have with this band.

What is combination?

A combination is a choice made in mathematics from a group of different elements when the order of the choices is irrelevant (unlike permutations). For instance, if three fruits, such as an apple, an orange, and a pear, are supplied, there are three possible pairings of the two: an apple and a pear. Formally speaking, a k-combination of a set S is a subset of S's k unique components. In other words, two combinations are the same if and only if they have the same members. (It is not important how the individuals in each set are arranged.) The quantity of k-combinations for a set with n components

A popular brand of the pen is available in 15 colors and 3 writing tips.

Choosing from one of 15 colors and one of 3 writing tips.

Each color could have one of two different writing tips.

To find the total different pens available multiply the number of colors by the number of tips: 15*3=45

Learn more about combination , by the following link.

https://brainly.com/question/11732255

#SPJ4

Answer:

b = -34

Step-by-step explanation:

Use " ^ " to indicate exponentiation:  

( 4x - 2 ) ( x + 9 ) - 3x = ax^2 + bx + c

Perform the indicated multiplication:

4x^2 + 36x - 2x - 18 - 3x becomes

4x^2 - 34x - 18                so b = -34

Answer:

b=31 in \(ax^2+bx+c\)

Step-by-step explanation:

Hi there!

\(( 4x - 2 ) ( x + 9 ) - 3x\)

Our goal is to expand this equation and put it in the form \(ax^2+bx+c\). Firstly, multiply the first two binomials (in the parentheses):

\(= 4x(x+9)-2(x+9)-3x\\= 4x^2+36x-2(x+9)-3x\\= 4x^2+36x-2x-18-3x\)

Now, we can combine like terms (terms with like variables):

\(= 4x^2+36x-2x-3x-18\\= 4x^2+31x-18\)

Now, in this equation, we can easily identify that 31 is the value of b in \(ax^2+bx+c\).

I hope this helps!

Answer:

44

Step-by-step explanation:

11*4=44

Answer:

44

Step-by-step explanation:

4 times 11 is 44 anything times 1 equal that number for example 4 time 1 equals 4 so 11 is just two ones therefore its like 4 times 1 twice so 44

Answer:

x = 40

y= 20

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp / hyp

sin 60 = 20 sqrt(3)/ x

x sin 60 = 20 sqrt(3)

x = 20 sqrt(3)/ sin 60

x = 20 sqrt(3)/ sqrt(3)/2

x = 20 *2

x = 40

tan theta = opp /adj

tan 60 = 20 sqrt(3)/y

y = 20 sqrt(3)/ tan 60

y = 20 sqrt(3) / sqrt(3)

y = 20

The volume of the larger cone is about 18.8 cubic inches greater than the volume of the small cone

The volume of a cone is calculated as:

For the small cone, we have the following parameters:

Diameter = 3 inches

Height = 3.5 inches

Diameter = 4.5 inches

Height = 5.1 inches

So, the volume of the large cone is:

Calculate the difference of both volumes

Hence, the volume of the larger cone is about 18.8 cubic inches greater than the volume of the small cone

Read more about volumes at:

brainly.com/question/8994737

Using the Poisson distribution formula as in part (i), we can calculate P(X=10 and 150 bikes arrived within an hour) and P(150 bikes arrived within an hour) independently.

(i) The probability that 20 red bikes arrive within an hour can be calculated using the Poisson distribution formula. Let X be the number of red bikes arriving within an hour, which follows a Poisson distribution with a rate of 200 * 0.05 = 10 bikes per hour (since 5% of the bikes are red). Therefore, the probability P(X=20) can be calculated as:

P(X=20) =  (e^{(-λ)} * λ²⁰) / 20!, where λ is the rate, which is 10 in this case.

Plugging in the values, we get:

P(X=20) = (e⁽⁻¹⁰⁾ * 10²⁰) / 20! ≈ 0.117

(ii) The probability that 20 red bikes arrive within the first hour and 500 bikes (of any color) arrive within the first three hours can be calculated as the product of the probabilities of these two events occurring independently.

Using the same approach as in part (i), the probability P(X=20) is 0.117.

Let Y be the number of bikes (of any color) arriving within three hours, which follows a Poisson distribution with a rate of 200 * 3 = 600 bikes. Therefore, the probability P(Y=500) can be calculated as:

P(Y=500) = (e^{(-λ)} * λ⁵⁰⁰⁰) / 500!, where λ is the rate, which is 600 in this case.

Plugging in the values, we get:

P(Y=500) = (e⁽⁻⁶⁰⁰⁰⁾ * 600⁽⁻⁵⁰⁰⁾) / 500! ≈ 0 (approximately zero, as the rate is high).

So, the probability that 20 red bikes arrive within the first hour and 500 bikes (of any color) arrive within the first three hours is approximately zero, as the event of 500 bikes arriving within three hours is highly unlikely.

(iii) Given that 20 red bikes arrived within an hour, the expected total number of bikes that arrived within this hour can be calculated as the sum of the expected number of red bikes and the expected number of bikes of other colors.

The expected number of red bikes is simply the rate of red bikes, which is 10 bikes per hour.

The expected number of bikes of other colors can be calculated by subtracting the expected number of red bikes from the total rate, which is 200 bikes per hour:

Expected number of bikes of other colors = 200 - 10 = 190 bikes per hour.

So, the expected total number of bikes that arrived within this hour is 10 + 190 = 200 bikes.

(iv) Given that 150 bikes arrived within an hour, we can use the concept of conditional probability to calculate the probability that exactly 10 out of them were red. Let X be the number of red bikes arriving within an hour, which follows a Poisson distribution with a rate of 10 bikes per hour (since 5% of the bikes are red). Therefore, the conditional probability P(X=10 | 150 bikes arrived within an hour) can be calculated as:

P(X=10 | 150 bikes arrived within an hour) = P(X=10 and 150 bikes arrived within an hour) / P(150 bikes arrived within an hour)

Using the Poisson distribution formula as in part (i), we can calculate P(X=10 and 150 bikes arrived within an hour) and P(150 bikes arrived within an hour) independently.

For P(X=10 and 150 bikes arrived within an hour), we can use the Poisson distribution formula with a rate of 10 bikes and a time interval of 1 hour:

To know more about Poisson distribution refer here:

https://brainly.com/question/17280826

#SPJ11

Answer:

If there are 3,461 teachers and 28 students per teacher, to find the total number of students, you can multiply the number of teachers by the number of students per teacher:

3,461 teachers * 28 students/teacher = 97,268 students

So there are 97,268 students in the district.

Given relation between height and time is:

Now put the value of h=85 ft in given relation:

Solving it for t:

Answer:

98 miles per week

Step-by-step explanation:

Multiply the amount traveled by 7 (the number of days in a week)

The maximum value of the quadratic function is (3,4).

The given quadratic function is \(y = - (x -3)^{2} +4\)

So, \(y = - (x -3)^{2} +4\)

Expanding the function, we get,

\(y = - ( x^{2} +9 - 6x) +4\\\\y = -x^{2} - 9 +6x +4\\\\y = -x^{2} +6x -5\\\\\)

Comparing this equation with the general equation \(ax^{2} +bx+c\)

we get, a = -1, b = 6 and c = -5

The maximum of a quadratic function occurs at  \(x = \frac{-b}{2a}\)

So, putting these values in the formula, we get:

\(x = \frac{-6}{2(-1)} =\frac{-6}{-2} = 3\)

Hence, the maximum value is 3.

Now, evaluating y when x = 3, we get

y = 4.

Hence, the point at which the given function has maximum value is (3,4)

To read more about quadratic functions, visit https://brainly.com/question/17177510

#SPJ1

Answer:

540°

Step-by-step explanation:

Formula: note that n means nr of sides

(n-2)×180°

(5-2)×180°=3×180=540°

Where each angle are 540°÷5=108°

Answer:

540

Step-by-step explanation:

108 is one interior angle from a regular pentagon

And a pentagon has 5 interior angles

So 180x5=540

Using the unit circle: