As of 2008 the longest car ever built was 30.5 meters long. A meter is a little longer than a yard. Estimate the length of this car in feet.

Answer:   256

Step-by-step explanation:

x² + 6x - 55 = 0

The values under the radical are: b² - 4ac

(6)² - (4)(1)(-55)

= 36 - (-220)

= 36 + 220

= 256

Answer:

[tex](x^2-9)(x^2+9)\\(x-3)(x+3)(x^2+9)[/tex]

Step-by-step explanation:

To factor the expression, factor as a difference of squares. Find the square root of each term and write it in this form (x+a)(x-a).

[tex]x^4 - 81\\(x^2 - 9)(x^2 + 9)[/tex]

Factor x² - 9 as a difference of squares.

[tex](x^2-9)(x^2+9)\\(x-3)(x+3)(x^2+9)[/tex]

This is the most factored form because a sum of squares cannot be factored.

7√75 = 7√25√3 = 35√3.

The simplification of the expression 7 * square root of 75 is 35 * square root of 3. This is achieved by factoring 75 into prime factors and finding pairs of those factors to take out from under the square root.

To simplify the expression 7 * square root of 75, we first need to break down 75 into a product of prime factors:

75 = 5*5*3.

Since the square root of a number is the factor that, when squared, equals the original number, we can take out a pair of 5s from the square root:

Square root of 75 = 5 * square root of 3.

Finally, multiply this by 7 to get:

7* square root of 75 = 7 * 5 * square root of 3 = 35 * square root of 3.

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Answer:

[tex]\large\boxed{(x^2+43x+10)-(10x^2-5x+10)=-9x^2+48x}[/tex]

Step-by-step explanation:

[tex](x^2+43x+10)-(10x^2-5x+10)\\\\=x^2+43x+10-10x^2-(-5x)-10\\\\=x^2+43x+10-10x^2+5x-10\qquad\text{combine like terms}\\\\=(x^2-10x^2)+(43x+5x)+(10-10)\\\\=-9x^2+48x[/tex]

There is not much that can be done to figure out how to write 0.312 as a fraction, except to literally use what the decimal portion of your number, the .312, means. Since there are 3 digits in 312, the very last digit is the "1000th" decimal place. So we can just say that .312 is the same as 312/1000.

Jeremiah's batting average of 0.312 can be expressed as the fraction 312/1,000, which can be further reduced to its simplest form 39/125 by dividing by their greatest common divisor, which is 8.

To express Jeremiah's batting average of 0.312 as a fraction in lowest terms, we need to start by expressing it as a fraction out of 1,000, which gives 312/1,000. From there, we divide both the numerator (the top number) and the denominator (the bottom number) by their greatest common divisor to reduce it to its simplest form. The greatest common divisor of 312 and 1,000 is 8. If we divide 312 by 8, we get 39, and if we divide 1,000 by 8, we get 125. Therefore, the fraction in its simplest terms is 39/125.

Expressing decimals as fractions is a common task in Mathematics and it's a handy skill for dealing with real-world data, like a baseball player's batting average.

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Answer:

Hence, the number of ways of doing so is:

                                780 ways.

Step-by-step explanation:

We know that if we have to choose r items out of a total of 'n' items then the number of ways of doing so is calculated by the formula of combination as:

                             [tex]n_C_r[/tex]

which is given by:

[tex]n_C_r=\dfrac{n!}{r!\times (n-r)!}[/tex]

Here we have to chose 2 books out of a shelf of 40 books.

i.e. we have: n=40 and r=2

Hence, the number of ways of doing so is:

[tex]{40}_C_{2}=\dfrac{40!}{2!\times (40-2)!}\\\\\\{40}_C_2=\dfrac{40!}{2!\times 38!}\\\\\\{40}_C_2=\dfrac{40\times 39\times 38!}{2!\times 38!}\\\\\\{40}_C_2=\dfrac{40\times 39}{2}\\\\\\{40}_C_2=780[/tex]

            Hence, the answer is:

                   780

In mathematics, the concept of combinations is used when selecting items from a larger group where order doesn't matter. Using the combination formula, we find that there are 780 ways to select 2 books from a shelf of 40 books.

The question pertains to the concept of combinations in mathematics. When you're selecting items, such as books, from a larger group and the order in which you select them doesn't matter, you are dealing with combinations. In this case, you are choosing 2 books from a selection of 40, and the order in which you select them doesn't matter.

To solve this, we use the combination formula nCr = n! / [(n-r)! r!], where 'n' represents the total number of items, 'r' is the number of items to choose, and '!' denotes factorial. In this scenario, n = 40 (total number of books) and r = 2 (number of books to select).

So, substituting these into the formula, we get 40C2 = 40! / [(40-2)! 2!] = (40*39) / (2*1)= 780.

Therefore, there are 780 ways to select 2 books from 40.

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Answer:

14

Step-by-step explanation:

This can be solved by writing 2 equations and solving simultaneously.

Let number of Adult tickets be A, and number of child tickets be C.

"Bob bought 24 hockey tickets":

[tex]A+C=24[/tex]

"Adult tickets cost $5.50, and child tickets cost $2.00...Bob bought 24 hockey tickets for $83":

[tex]5.5A+2C=83[/tex]

Now we can solve the first equation for A and substitute in 2nd equation and get the value of C.

A + C = 24

A = 24 - C

Now,

5.5 A + 2 C = 83

5.5 (24 - C) + 2C = 83

132 - 5.5C + 2C = 83

-3.5 C = 83 - 132

-3.5C = - 49

C = 14

Hence, Bob bought 14 child tickets

Jessica purchased 12 pieces of sweets for $7.8. Use multiplication, In mathematics, one finds the product of two or more numbers.

Multiplying in math is the same as adding equal groups. The number of items in the group grows as we multiply. Parts of a multiplication issue include the product, the two factors, and the product. The factors in the multiplication problem 12x 65 = 780 are the numbers 12 and 65, and the product is the number780.

Detailed explanation:

Using the formulas 12•65 or 12x65 = 780

Step-by-step explanation: The solution is 780 if you enter 12•65 or 12x65=78. ie , $7.8.

Jessica purchased 12 pieces of sweets for $7.8.  

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Final answer:

To find the total cost of the candy Jessica bought, we multiply the quantity (12 pieces) by the price per piece ($0.65) to get a total of $7.80 spent.

Explanation:

Jessica bought 12 pieces of candy at the store for $0.65 each. To find out how much she spent in all on the candy, we simply multiply the number of pieces of candy by the price per piece.

Using the equation:
total cost = (number of pieces) × (price per piece),
we get:
total cost = 12 × $0.65.

By doing the multiplication, we find that:
total cost = $7.80.

Therefore, Jessica spent $7.80 on the 12 pieces of candy.

Hi, sorry i couldn't understand the format of the question, could you post a picture of the question please?

Neither do I understand the format, what is the numbers involved? or a picture please

Answer:

$45

Step-by-step explanation:

To find the discount price, you make the discount a decimal and multiply, like so

.8x=36

then divide and your answer is 45

Answer:  The perimeter of each book is:  " 36 in. " .

__________________________________________________

Step-by-step explanation:

__________________________________________________

Note that the given units are all in "inches (in.)" .

Use the formula for the "perimeter of a rectangle" ;

{which happens to work for a "square" as well;

          since a "square" is a rectangle.}.

__________________________________________________

This is based on the assumption that the book is shaped like a

"rectangle"  (or "square" —which is a rectangle).

__________________________________________________

The formula for the Perimeter of a rectangle is:

  P = 2 L  + 2 w  ;

in which:

P =  the perimeter of the rectangle;

for which we shall solve;   [in "inches (in.)" ] ;

L =  the length of the rectangle = 10 in. (given) ;

w = the width of the rectangle = 8 in. (given) .

___________________________________________________

Now, plug the given values for the "length (L)" and the "width (w)" ;

 as follows:

___________________________________________________

    P = (2 * 10 in.)  +  (2 * 8 in.)  ;

    P = (20 in.)  +  (16 in.)  ;

   P = 36 in.

___________________________________________________

Answer:  The perimeter of each book is:  " 36 in. " .

___________________________________________________

Hope this helps!

    Best wishes in your academic pursuits

            — and within the "Brainly" community!

___________________________________________________

Simplifying

4.5x + -7 = 20

Reorder the terms:

-7 + 4.5x = 20

Solving

-7 + 4.5x = 20

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '7' to each side of the equation.

-7 + 7 + 4.5x = 20 + 7

Combine like terms: -7 + 7 = 0

0 + 4.5x = 20 + 7

4.5x = 20 + 7

Combine like terms: 20 + 7 = 27

4.5x = 27

Divide each side by '4.5'.

x = 6

Simplifying

x = 6

whoops my mistake next time please explain more...

Answer:

-4

Step-by-step explanation:

Cube Root is an odd number so your answer will still be negative in the end. 4x4x4= 64 so cube root 64 will be -4

Answer:

6030 students passed.

Step-by-step explanation:

First: We must convert all percentages to decimals:

So, why do we need to convert all percentages to decimals. Well, you don't have to. It's just that it's easier to work with decimals than percentages. So I'll bold out all of the percents in this problem:

Out of 6700 students of a school only 90% passed. Find how many students passed?

So how do we convert  that to a decimal. Well...

A: We have to take out the percent sign:

90

B: We have to move the decimal point 2 spaces to the left:

0.90

Now that we have our percent displayed as a decimal, we need to multiply it by the total number of students to find the fraction of people that passed.

So 0.90 [or 0.9] multiplied by 6700

[tex]0.9*6700 = 6030[/tex]

So, out of the 6700 students, 6030 passed.

Topic: Percentages

Answer:

G=68

Step-by-step explanation:

First get G by it's self

By adding 56 on both sides

12 plus 56 equals 68

G=68

I Hope this helps you

Marginal frequency:

The number in the end column or row - "Total".

Joint frequency:

The ratio of the frequency in a particular category and the total number of data values.

Basically, the values that aren't in the final row or column - "Total".

The number of students who are in 9th grade and play two or more sports is a  joint frequency.

This is only asking for the students in 9th grade who play two or more sports.

The number of students who are in the 11th grade is a  marginal frequency.

This is asking for the total number of students in 11th grade.

The percentage of the student body that plays one sport is a  marginal relative frequency'.

This is asking for the total number of students who play 1 sport.

The percentage of the student body that are in 12th grade and do not play a sport is a  joint relative frequency.

This is only asking for the students in 12th grade and don't play sports.

Answer:

The answer is D on edge

To round 387,530 to the nearest hundred, we leave the hundreds digit unchanged because the tens digit is 3, which is less than 5. The rounded number is therefore 387,500.

To round the number 387,530 to the nearest hundred, we look at the tens digit, which is 3.

The rounding rule states that if the digit to the right of the rounding place is less than 5, you do not change the rounding digit. If it is 5 or more, you round up. Since the tens digit is 3, it is less than 5, hence we do not round up.

The hundreds digit is 5, and because we do not round up, 387,530 rounded to the nearest hundred is 387,500.

Remember, rounding off to a certain place involves looking at the digit immediately to the right of the place you are rounding to.

Deciding whether to round up or keep the original number the same is based on whether this digit is less than or equal to 4, or 5 and above respectively.

[tex] {p}^{2} q + {r}^{2} - pqr - pr \\ = pq(p - r) - r(p - r) \\ = (pq - r)(p - r)[/tex]

Answer:

(p - r)(pq - r)

Step-by-step explanation:

P = p²q + r² – pqr – pr  

Rewrite the equation in descending orders of p and increasing orders of r.

P = p²q - pqr - pr + r²

Factor the first two and the last two terms

P = pq(p - r) - r(p - r)

Remove the common factor

P = (p - r)(pq - r)

Answer:

"(3)"

Step-by-step explanation:

Relation is a mapping between x-values and y-values. Xs are the domain and Ys are the range.

Given x values (0,3,6) and y-values(8, 2, -1), this is a relationship, so it is a relation.

To check whether a relation is a function or not, we simply see if each unique x value is paired with a unique y value.

Is there any y value that is same for x-values? NO! All are different. So this is a function as well!

Answer choice (3) is right.

Answer: (3) both a relation and a function

Step-by-step explanation:

Relation : It is the relation established between two set of values

Function : It is a kind of relation, where only output exist for e ach input.

Generally x values presents input values and y values represents the output values.

The given table :

x -  y

0 - 8

3 - 2

6 - 1

Here, each x value is related to a y-value , so its a relation.

Also, there only one unique y-value for each x-values, thus its a function.

Hence, the set of ordered pairs in the mapping below can be described as  both a relation and a function.

Answer:

0.00001

Step-by-step explanation:

   1

______

100000

hope this helps

Regroup terms

2q - 7 = 4

Add 7 to both sides

2q = 4 + 7

Simplify 4 + 7 to 11

2q = 11

Divide both sides by 2

q = 11/2

Answer:

D) 5/2 divided by 8/6

Step-by-step explanation:

To simplify we can collect like terms so we get -1.7f-18 :)

Answer:

3

Step-by-step explanation:

Let's get the variable y on the left side only and the constants on the right side only.  To do this, add y to both sides.  

This results in 2y = 6, and so y = 3.

Answer:

B

Step-by-step explanation:

Answer:

a = 15

Step-by-step explanation:

The graph of function g(x) is described by g(x)=ax−7, or y = ax−7.

y = g(x)=ax−7 passes through (1/3, -2).  We can subst. -2 for y and 1/3 for x to determine the value of the coefficient a:

-2 = g(1/3) = a(1/3) - 7

Solve for a.  First, add 7 to both sides:  5 = a(1/3).

Next, multiply both sides by 3:  15 = a, or a = 15.

Final answer:

To add fractions 1/9 and 5/6, find the least common denominator, which is 18, and then add the numerators of the equivalent fractions with the same denominator. The sum is 17/18, a simplified fraction.

Explanation:

To add fractions with different denominators, you must first find a common denominator. For the fractions 1/9 and 5/6, the least common denominator is 18. Multiply each fraction by a form of 1 that will give them this new denominator without changing their value.

For 1/9, you multiply it by 2/2 to get 2/18. For 5/6, you multiply it by 3/3 to get 15/18. Now that the fractions have the same denominator, you can add the numerators together: 2/18 + 15/18 equals 17/18. Since 17/18 is less than 1, it is already simplified and there is no mixed number to write.

Answer:

54

Step-by-step explanation:

90-36=54 degrees. The complement of an angle is 90- the angle