what is the difference between bisectors and perpendicular bisectors?

The prime factorisation of 105 is therefore 3 * 5 * 7.

We can factorize 105 into its prime factors by dividing it by prime numbers up to the point when we can no longer divide it. Here is how it works:

Divide 105 by the following prime number, 3, for a result of 35.

35 divided by the following prime number, 5, yields a result of 7 that is:

35/5 = 7

The seventh prime number has been reached. The prime factorisation of 105 is therefore 3 * 5 * 7.

Thus, 3 * 5 * 7 is the prime factorization of 105.

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Answer:

810 feet.

Step-by-step explanation:

We are supposed to find the final altitude of the helicopter.

We have been given that a helicopter is flying at a altitude of 785 feet, this means that altitude of helicopter is positive.

Further, the helicopter descends 570 feet, this means that altitude of helicopter is [tex]-570[/tex].

Finally, the helicopter ascends 595 feet, this means that altitude of helicopter is [tex]595[/tex].

[tex]\text{Helicopter's final elevation}=785\text{ ft}-570\text{ ft}+595\text{ ft}[/tex]

[tex]\text{Helicopter's final elevation}=810\text{ ft}[/tex]

Therefore, the final elevation of helicopter is 810 feet.

Answer:

There are 15 boxes of 10 oz boxes

Step-by-step explanation:

Let the number of boxes of 10 oz = x

and let the number of boxes of 16 oz = y

By the statement

"Total number of boxes sold is 24"

Equation for the statement will be

x + y =24 ---------------(1)

By the  statement

"she collected $97.50 while rate of 10 oz box is $3.50 and rate of 16 oz box is $5.00."

Equation for the statement will be

1.5x + 5y = $97.50 ------------(2)

From equation (1) we put the value of y = 24 - x in equation (2)

1.5x + 5(24 - x) =  97.50

1.5x + 120 - 5x = 97.50

-3.5x = 97.50 - 120

3.5x = 22.50

x = [tex]\frac{22.5}{1.5}[/tex]

x = 15

Therefore, number of 10 oz boxes is 15.

Ten less than five times a number cubed in the mathematical from will be 10 - 5x³.

The act of converting a specified statement into an expression or equation is known as a sentence-to-equation transformation.

Ten less than five times a number cubed.

Let the number be 'x'. Then the cube of the number x will be x³.

Then the five times a number cubed will be given as,

5x³

Ten less than five times a number cubed. Then the expression is given as,

⇒ 10 - 5x³

Ten less than five times a number cubed in the mathematical from will be 10 - 5x³.

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The equivalent fraction of 8/9 with the denominator 18 is 16/18.

To write the fraction 8/9 as an equivalent fraction with the given denominator 18, we have to find a number that we multiply by 9 (the original denominator) to get 18. This number, in this case, is 2. What we do to the bottom of a fraction, we should also do to the top, therefore we would also multiply the numerator (8) by the same number (2). So, the equivalent fraction is 8 * 2 / 9 * 2 = 16 / 18.

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Answer:

Cost:$ 920 each or $5,520

Total annual interest: $65 per bond and $390 total

Yield: 7.06%

Step-by-step explanation:

The cost of the bonds is given by the multiplication of the value of the bonds by 92 and divided by 100:

1000*92/100=920

So the cost of each bond would be $920

Then the interest that is payed by the bonds is based on its value which is $1000, so he receives 65 dollars per bond a year, that multiplied by the 6 bonds is equal to $390.

The yield is the real money paid to return interest rate relation, so you just have to take the percentage if 5,520 is the 100, how much is $390=

5520/100=390/x

x=39000/5520=7.06%

The expression representing Rose's stamp collection is given by R = (1/2)x - 7. It denotes that Rose's collection is 7 less than half of Van's stamp collection, where x represents the total number of stamps in Van's collection.

Let's denote Van's stamp collection as x. According to the given information, Rose's stamp collection is 7 less than half of Van's stamp collection.

Expression for Rose's stamp collection (R):

R = (1/2)x - 7

Here's the breakdown of the expression:

(1/2)x represents half of Van's stamp collection.

-7 signifies 7 less than half of Van's stamp collection.

This expression encapsulates the relationship between Rose's stamp collection and half of Van's collection, diminished by 7.

The net change in the value of the account, when rounded to the nearest dollar, is $550.

To find the net change in the value of the account, you would sum up the amounts deposited, subtract the amounts withdrawn, and add the interest earned:

Net change = (Deposits - Withdrawals) + Interest earne

Net change = ($500 - $250) + $300

            = $250 + $300

            = $550

Therefore, the net change in the value of the account, when rounded to the nearest dollar, is $550.

The probable question maybe:

"What is the net change in the value of an investment account after depositing $500, withdrawing $250, and earning $300 in interest, when rounded to the nearest dollar?"

The number must be added to [tex]2\frac{3}{8}[/tex] to make 6 is [tex]3\frac{5}{8}[/tex].

We need to find what we need to add to [tex]2\frac{3}{8}[/tex] to make 6.

In Mathematics, fractions are represented as a numerical value, which defines a part of a whole. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.

The fraction [tex]2\frac{3}{8}[/tex] can be written as 19/8

Let x be the number added to given fraction, that is

19/8 +x=6

⇒ x=6-19/8

⇒ x= (48-19)/8

⇒ x= 29/8

⇒ x= [tex]3\frac{5}{8}[/tex]

Hence, the number must be added to [tex]2\frac{3}{8}[/tex] to make 6 is [tex]3\frac{5}{8}[/tex].

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The product of the numbers will be 120. And the product 3 × 40 = 3 × 4 tens.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

PEMDAS rule means the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.

According to the commutative property of integer multiplication, changing the order of something like the operands or the integers has no impact on the outcome of the multiplication.

a x b = b x a

Similarly, the product of the numbers 3 and 40 can be written as,

3 × 40 = 3 × 4 tens

The product of the numbers will be

3 × 40 = 120

The product of the numbers will be 120.

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5 7/9  - 4 1/3

covert 1/3 to 9ths 3 x 3 = 9 so 1/3 = 3/9

5 7/9 - 4 3/9 = 1 4/9 meters

Hi there!

For the first one the answer is D. [tex] -\dfrac{9}{2} , -3, \dfrac{1}{2} , \sqrt{6} , 4.2 [/tex]

For the second one the answer is B. Irrational Numbers, Real Numbers

For the last one the answer is [tex] 9 < \sqrt{93} < 10 [/tex]

Your friend, ASIAX

The simplified form of [tex]\frac{6}{18}[/tex] is [tex]\frac{1}{3}[/tex].

To simplify the fraction [tex]\frac{6}{18}[/tex], follow these steps:

Find the greatest common divisor (GCD) of the numerator and the denominator. The numerator is 6 and the denominator is 18. The greatest common divisor of 6 and 18 is 6.

Divide both the numerator and the denominator by their GCD.

When we divide the numerator 6 by 6, we get [tex]\frac{6}{6} = 1[/tex].

When we divide the denominator 18 by 6, we get [tex]\frac{18}{6} = 3[/tex].

Write the simplified fraction: After dividing both parts by 6, the fraction [tex]\frac{6}{18}[/tex] simplifies to [tex]\frac{1}{3}[/tex].

Answer:

The rate of riders to cars is 14 divided by 2. So the unit rate is 7 riders per car. Multiply 7 riders by 12 cars to find that 84 riders can fit on the roller coaster at one time.