Which vehicle gets the best mileage per gallon?


A 4-column table with 3 rows. Column 1 is labeled Vehicle with entries Sedan, Minivan, Truck. Column 2 is labeled Miles Traveled with entries 630, 798, 864. Column 3 is labeled Gasoline Used (gallon) with entries 35, 42, 54. Column 4 is labeled Unit Rate with entries 18, 19, 16.

The differences between their ages is equal to 15 years.

Since the ages of two brothers are in the ratio 8:3, the age of the first (1st) brother would be represented by 8x while the age of second (2nd) brother would be represented by 3x.

Note: The variable x represents the age in years.

After 3 years, the age of the first (1st) brother would be represented by 8x + 3. Similarly, the age of second (2nd) brother would be represented by 3x + 3.

Translating the word problem into an algebraic equation by using ratios, we have the following:

(8x + 3)/(3x + 3) = 9/4

4(8x + 3) = 9(3x + 3)

32x + 12 = 27x + 27

32x - 27x = 27 - 12

5x = 15

x = 15/5

x = 3.

Now, we can determine the age of the brothers;

First brother's age = 8x = 8 × 3 = 24 years.

And, 2nd brother's age = 3x = 3 × 3 = 9 years.

For the difference, we have:

Difference = 24 - 9

Difference = 15 years.

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If UV = x and TW = x+99 ,using triangle proportional theorem, then the value of x is 99

Triangle proportion theorem states that if a line is drawn parallel to any one side of a triangle so that it intersects the other two sides in two distinct points, then the other two sides of the triangle are divided in the same ratio.

since TU = TS and S W = VW. This show that triangle SUV is an isosceles triangle

then TW / UV = 1/2

therefore x/-x+99 = 1/2

2x = -x+99

Collect like terms

2x- x = 99

x= 99

therefore the value of x is 99

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Since there are two complex conjugates as the roots of the quadratic equation 5x2 4x 3 0 there is no way to describe them in terms of real integers.

The roots can only be roughly calculated because they are irrational numbers.

Two complex conjugates, which are unable to be expressed in terms of real numbers, make up the roots of the quadratic equation 5x2 4x 3 0. Using the quadratic formula, the roots can be discovered. The coefficients of the equation are necessary for the formula, and in this example, they are a=5, b=4, and c=3. When the quadratic formula is used, two complex roots are produced, denoted by the expressions x1 = -1/5 + (16)/5i and x2 = -1/5 - (16)/5i. Since their roots are irrational integers, they can only be roughly calculated. When b2-4ac, the discriminant, is negative, complex roots are frequently discovered. The discriminant in this situation is -64, which is negative and shows that the equation has complex roots.

Inequality = b2-4ac = 42-4(5)(3) = -64.

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Full Question = What is the nature of the roots of the quadratic equation  5x2 – 4x + 1 = 0?

The cube of 5 is 125

We know that the cube of a number is the value that are obtained when a number is multiplied by itself three times.

We can find cubes for any real number.

If p be any real valued number then the cube of p is the product of number p  three times.

i.e., p × p × p

The cube of number is represented by the third power (exponent) of that number.

for above the cube of number 'p' is represented by p³

Here we need to find the cube of number 5.

From definition of cube of number,

5³ = 5 × 5 × 5

5³ = 25 × 5

5³ = 125

Thus the cube of number 5 = 125

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The lower quartile is the value at the edge of the box on the lower edge of the box, 62 in this case.

The upper quartile would be 67, since that's the upper edge of the box.

Flossie needs 8 pupils and 8 staff members for each team to have an equal number of staff members.

The major issue is that there are 40 pupils in total, depending on common variables.

The biggest positive integer that divided each of the figures is the greatest common divisor of two or more numbers that are not all equal to zero. This phrase is used in arithmetic. The process which enables the largest common factor of the two numbers x and y.

The number of workers is 24, thus there are 24 workers.

Since she wants each squad to have the same amount of students and staff members, Flossie needs GCF.

GCF has 24 staff members and 40 students.

GCF for 40 and 24 equals 8.

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The cost if a client earns $1500 the first month is;  $36875

The formula for the equation of a straight line in slope intercept form is;

y = mx + b

where;

m is slope

b is y-intercept

We are told that a job hotline service charges $25 plus a 4% commission, c, on the first month of earnings.

First month total charge;

T = $25 + 0.04c

We are told that the client earns $1500. Thus;

1500 = 25 + 0.04c

c = (1500 - 25)/0.04

c = $36875

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Answer:

0

Step-by-step explanation:

As the die is fair the maximum number you can get on each die is 6 so even if we get both die's to roll on its maximum (6, 6) we still won't get a number above 12, so the probability of getting a number above 12 is impossible.

The account will be worth $215,958.88 after 3 years.

The account will be worth $215,958.88 after 3 years. This can be calculated by using the formula: A = P(1 + r/n)^(nt) where A is the final amount, P is the initial principal (or balance) of $165,000, r is the annual interest rate of 8%, n is the number of times that interest is compounded per year (annually in this case, so n = 1), and t is the number of years the money is invested for (3 in this case).

Plugging these values into the formula: A = 165,000(1 + .08/1)^(1*3) = 215,958.88.

The subject you are asking about is called compound interest. Compound interest is a concept related to finance and economics. It is the interest on a loan or deposit calculated based on both the initial principal and the accumulated interest from previous periods. It is often used in personal finance, such as in savings and retirement accounts, as well as in business and investment contexts.

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Radical expressions are numbers which have root values in them. The root can be an nth root, a square root, or a cube root. To simplify the radical expressions we can use the product property.

We first locate the radicand's greatest factor which is also a perfect power of the index.

Then we use that factor to rewrite the radicand as the product of two factors. Rewrite the radical as the result of two radicals by applying the product rule and then reduce the perfect power to its most basic form.

To simplify the radical expressions we can use the quotient property. Make the fraction in the radical simpler then rewrite the radical as the quotient of two radicals by using the Quotient Property. Radicals in the numerator and denominator should be made simpler.

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The process to sketch the graph of y =  absolute value x is explained below .

What is Absolute Value ?

The absolute value of a number is the distance of the number from origin of a number line. It is denoted as |a|, which defines the magnitude of any integer "a". Absolute Value is represented by two vertical lines "|a|" , which is called as modulus of a .

we have to sketch the graph of the absolute function given as ; y = |x| ;

put x = -2 , we get ⇒ y = 2 ;

put x = 2 , we get ⇒ y = 2 ;

we see that if we put any value of "x" , positive or negative , the result "y" will always be positive .

Therefore , the graph of the function will be a V shaped graph facing upwards .

The given question is incomplete , the complete question is

How do you graph y =  absolute value x ?

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The table representing a proportional relationship is given as follows:

x −3 0 3

y −2 0 2

A proportional relationship is defined as follows:

y = kx.

In which k is the constant of proportionality.

From the definition, we get that a proportional relationship is a linear function with an intercept of zero, meaning that when x = 0, y = 0.

This means that the correct table is given by the last table, as for the other tables, y has values different of zero when x = 0.

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Answer: The answer is the last one D.

Step-by-step explanation:

1/3 of the bag would be eaten by both cats in 2 minutes while 5/6 of the bag would be eaten by both cats in 5 minutes.

An equation is an expression showing the relationship between numbers and variables.

One little cat can eat a bag of treats in 15 minutes while another cat can eat the same bag of treats in 10 minutes.

a) In 2 minutes:

Part of bag eaten = (1/15 minutes) * 2 minutes + (1/10 minutes) * 2 minutes = 1/3

1/3 of the bag would be eaten by both cats in 2 minutes.

b) In 5 minutes:

Part of bag eaten = (1/15 minutes) * 5 minutes + (1/10 minutes) * 5 minutes = 5/6

5/6 of the bag would be eaten by both cats in 5 minutes.

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Answer:

  The square of x, or x times x.

Step-by-step explanation:

You want to know the meaning of x2.

As often seen on Brainly, and in poorly-edited math curriculum materials, the expression x2 is a badly-formatted version of x². It is often the result of a copy/paste operation in which the superscript text formatting is lost.

The superscript 2 is an "exponent." It tells you how many times x is a factor in the product:

  x² means x·x . . . . . a product in which x is a factor 2 times.

When superscript characters are not available, an exponent is usually signified in plain text using a caret (^) symbol:

  x² ⇔ x^2

Please note that superscript text acts to group expressions that are part of an exponent:

  [tex]x^{a+b}[/tex]

If you write this as x^a+b, it looks like b is added to the value of x^a. The expression above would be correctly written in plain text as x^(a+b), using parentheses to do the grouping that would otherwise be provided by the superscript font.

A and D have the same rate of change, which is 0.5.

Generally, The term "rate of change" (ROC) refers to the rate at which something varies over a period of time.

Therefore, the size of individual changes is not as important as the pace at which they are occurring or the rate at which they are accelerating or decelerating.

When it comes to financing, understanding price returns and recognizing momentum in trends may both be accomplished via the usage of rate of change.

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12a2b = 2  2  3 a a b b; 15ab2 = 3  5 a b b b. The factors 3, a, and b are shared by the two terms. This demonstrates that the given expression's factors are a, b, and (4a + 5b).

We can deduce from the problem's options that (4a-5) is not a factor of the given expression.

12 is the highest-common factor between 12 and 36. However, neither the 12x nor the 36 given monomials contain any common literal. 12 is the most common factor.

In mathematics, factorization or factoring is defined as the breakdown or decomposition of an entity—such as a number, matrice, or polynomial—into another product or common factors that yield the original number or matrix when repeated together, among other things.

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Truth serum has 91% accuracy when guilty, 94% accuracy when innocent, 6% false positive, 9% false negative.

What is percentange ?

Percentage is a way of expressing a number as a fraction of 100. It is often denoted by the symbol "%" (percent sign) and it's used to express a proportion or ratio. For example, if a student scored 80 out of 100 in an exam, the percentage score would be 80%, which means the student answered 80 out of 100 questions correctly.

A truth serum given to a subject is known to have a 91% reliability rate when the person is guilty and a 94% reliability rate when the person is innocent. This means that when the person is guilty, there is a 91% chance that the truth serum will indicate that the person is guilty, and a 9% chance of a false negative (indicating the person is innocent when they are guilty). Similarly, when the person is innocent, there is a 94% chance that the truth serum will indicate that the person is innocent, and a 6% chance of a false positive (indicating the person is guilty when they are innocent).

Truth serum has 91% accuracy when guilty, 94% accuracy when innocent, 6% false positive, 9% false negative.

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RS = 80. The two legs of the trapezoid, SU and RV, have lengths of 80 each. This can be found by adding the lengths of UV (35) and QT (55).

Two of a trapezoid's four sides are parallel to one another.

Four angles, two non-parallel sides, and two sets of parallel sides make up this shape. It has two dimensions, four vertices, and four sides.

The bases of the trapezoid are the two parallel sides, while the other two sides are referred to as the legs.

Every time, the two bases are different lengths, and the same is true of the two legs. Rectangles, squares, and circles are just a few of the shapes that can have their areas calculated using trapezoids in geometry.

They are also employed to figure out the areas of various shapes, such as arcs and triangles.

To design structural elements like walls and foundations, trapezoids are also employed in engineering, architecture, and construction.

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A for loop for print the integers 1 through 40, separated by spaces or new lines is represented by #include <iostream>

using namespace std;

int main(){ for(int count=1;count<=40;count++)

printf(" %d",count);}.

A for loop is a repetition control structure that allows you to efficiently write a loop that needs to execute a specific number of times. The structure for writing the " For loop" in C++ programming ,

#include <iostream> using namespace std; int main() { for (int i = 1; i <= 5; ++i) { cout << i << " "; } return 0; } .

We have to print the integers 1 through 40, separated by spaces or new lines. You may use only one variable, count which has already been declared as an integer. The required for-loop is written as the following: Input :

#include <iostream>

using namespace std;

int main(){

for(int count=1;count<=40;count++)

printf(" %d",count);}

Output : 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40

The for-loop description-

Hence, the required program code is founded.

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Answer:

Hexagon

Step-by-step explanation

A hexagon can be defined as a closed two-dimensional polygon with six sides. Hexagon has 6 vertices and 6 angles also. Hexa means six and gonia means angles

The First Postal Stamp of Pakistan was issued on 9th July, 1948, was designed by Abdul Rehman Cughtai and approved by Quaid-i-Azam on the occasion of the first Independence Day and was adjudged as one of the most beautiful stamps of the world.

Due to the lack of a local press, Pakistan's initial stamps were printed by Thomas De La Rue in London. In 1949, the Pakistan Security Printing Corporation was set up in Malir Halt, Karachi. The first set printed entirely by this press was the 1954 Seventh Anniversary issue.

Title: First Stamp of Pakistan

Creator: Abdul Rehman Cughtai

Date Created: 1948

Physical Location: State Bank Museum & Art Gallery

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The value of  x is -7 in the set of solutions to the equation 4x-12≤16+8x.

Given the equation:

4x-12≤16+8x

By demonstrating any of the following, an inequality can be used to compare two (2) variables or integers in a mathematical equation:

Fewer than ()

More than (>)

Equal to or less than the other ()

Equal to or greater than the other ()

Group like terms:

4x-12≤16+8x

Simplify the like terms:

-4x≤28

Solve for x by dividing both sides by -4

x≤-28/4

Simplify further, we get:

x≤-7

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Answer:

-30 < s

Step-by-step explanation:

16 > -14 - s

30 > -s

Divided by negative. Because divided by negative, the > will switch to be <

So, the answer is

-30 < s

or

s > -30

Answer:

462

Step-by-step explanation:

6×7×10×6 is how you do it

The intensity of an earthquake that measures 3 on the Richter scale than and earthquake that measures 1 is 31*2 times greater.

Every whole number measurement releases energy that is around 31 times more than the previous whole number measurement. A magnitude 2 earthquake is thus 31 times more violent than a magnitude 1 earthquake, for instance.

The Richter scale, also known as the Richter's magnitude scale, Richter's scale, and the Gutenberg-Richter scale, was created by Charles Francis Richter and first published in his seminal 1935 paper under the name "magnitude scale." Charles Richter created the base-10 logarithmic Richter scale in the 1930s.

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The triangles are comparable to one another if the ratio of their corresponding sides is the same. Triangles ABC, GHI, and JKL all have an approximately equal number of corresponding sides. Triangle ABC, JKL, and GHI are hence comparable to one another.

Similar triangles may not necessarily need to have equal sides, but they do require that all of the angles match.Triangles are comparable to one another if their corresponding sides have lengths that are in the same ratio.

Therefore, Triangles ABC and GHI are comparable to one another because their sides are proportional to one another.Triangles ABC and JKL have sides that are proportionate to one another, hence they resemble one another.

Triangles JKL and GHI are comparable to one another.

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The probability that the player will be a boy is 0.52.

The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

We have to given that;

The team has a total of 25 players. 12 of the players are girls.

Now, Number of boys in a team = 25 - 12

                                                  = 13

Hence, The probability that the player will be a boy is,

⇒ 13 /25

⇒ 0.52

Thus, The probability that the player will be a boy is 0.52.

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Answer:120

Step-by-step explanation:

given x= 3 and y= 8,

we have to find the value of 5xy

so let us put the values of x and y in the given expression i.e 5xy.2

= 5×3×8

= 120

 Hence the value of 5 xy is 120.

Answer:

Step-by-step explanation:

If x = 3 and y = 8, then the value of 5xy is simply 5 times the product of x and y.

To find the product of x and y, we simply multiply x and y together:

xy = 3 * 8 = 24

To find the value of 5xy, we simply multiply 5 by the value of xy:

5xy = 5 * 24 = 120

So the value of 5xy when x = 3 and y = 8 is 120

Despite the amount of money she has spent, she has driven a total of 19,214 miles this year.

Amount is a term that can be used to refer to a quantity or number of something. It is often used to refer to a sum of money, such as when people talk about the amount of money they make or owe. Amount can also be used to refer to a quantity of something, such as the amount of water in a tank or the amount of time it takes to do a task.

Nina Karas has experienced an overall decrease in the value of her car since she purchased it three years ago. Despite this, she has incurred a number of variable costs this year that have added up to a considerable sum. For example, she has spent $2,524.90 on gasoline, $145.21 on oil and filters, $65.45 on a new battery, and $981.33 on transmission repairs. Furthermore, Nina has paid $1,546.00 in insurance premiums, $114.95 for her registration, and $457.88 in loan interest. Despite the amount of money she has spent, she has driven a total of 19,214 miles this year.

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If the squares of the two shorter sides add up to the square of the hypotenuse, the triangle contains a right angle.

Sidewalks must be at least 6.0 feet wide at the curb face or 5.0 feet wide if set back from the curb. The basic standards for people with impairments are not met by any width that is smaller. The social activity of walking.

500 feet must separate any two people in order for them to be able to stroll side by side. If the hypotenuse and one of the right triangle's sides equals the hypotenuse and the corresponding side of the second right-angled triangle, the two triangles are said to be congruent to one another.

The triangles are congruent if their included sides are congruent and two of their angles match two of the other triangle's angles. 

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