Using place value to exchange equal amounts when renaming a number is called

Answers

Answer 1
Answer: Using place value to exchange equal amounts when renaming a number is called : RegroupSimple example for a group is when you try to add up :86 + 2586 has 8 group of tens and 6 groups of one25 has 2 groups of tens and 5 groups of oneafter adding that up , now the number has 11 group of tens and 1 group of one, the result of that equation would be : 110

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A restaurant offers 6 appetizers and 12main courses. How many ways can a person order a​ two-course meal?

Answers

You just multiply 6*12. Are you dealing with The Fundamental Counting Process.
I think there are 864 ways a person can order a two course meal.

An original piece of artwork is 2.75 feet by 2.25 feet a reprint of the artwork is 22 inches by 18 inches are the pieces similar? if so what is the ratio of their corresponding side lengths?

Answers

Yes, the Repainted Artwork is similar to the Original. The 22*18 inch repaint can be recaclculated into a 1.83*1.5 feet repaint. Both can be multiplied by about 1.5 to equal 2.75*2.25. Therefore, the ratio is 1.5.

a DVD that originally cost $30 was marked up for 10 percent. What is the cost for the DVD after mark up ?

Answers

Answer:

33

Step-by-step explanation:

Answer:

The answer is

33$

Step-by-step explanation:

Willa is building birdhouses. Each side of the birdhouse will need 9 nails. How many nails does Willa need for each birdhouse? There are 7 sides on the birdhouse. If Willa uses only 7 nails on each side, how will the total number of nails she uses change?

Answers

The total number of nails will decrease by 14 when Willa will use 7 nails on each side.

Step-by-step explanation:

Sides of one birdhouse = 7

Nails used on each side = 9

Nails used on one birdhouse = No. of sides * Nails used for each side

Nails used on one birdhouse = 7*9 = 63 nails

If she uses 7 nails on each side, then the number of nails used on each birdhouse will be;

No. of nails = 7*7 = 49 nails

Difference = Old value - New value

Difference = 63-49 = 14

The total number of nails will decrease by 14 when Willa will use 7 nails on each side.

Keywords: multiplication, subtraction

Learn more about subtraction at:

#LearnwithBrainly

Multiply 3/sqrt17- sqrt2 by which fraction will produce an equivalent fraction with rational denominator

Answers

For this case we have the following expression:

\frac {3} {\sqrt {17} - \sqrt {2}}

We must rationalize the expression, so we multiply by:

\frac {\sqrt {17} + \sqrt {2}} {\sqrt {17} + \sqrt {2}}

So, we have:

\frac {3} {\sqrt {17} - \sqrt {2}} * \frac {\sqrt {17} + \sqrt {2}} {\sqrt {17} + \sqrt {2}} =\n\frac {3 (\sqrt {17} + \sqrt {2}} {17- \sqrt {17} * \sqrt {2} + \sqrt {17} * \sqrt {2} -2} =\n\frac {3 (\sqrt {17} + \sqrt {2}} {15}

Thus, the correct option is option B.

Answer:

OPTION B

Answer:

B.

Step-by-step explanation:

To simplify something that looks like \frac{\text{whatever}}{√(a)-√(b)} you would multiply the top and bottom by the conjugate of the bottom. So you multiply the top and bottom for this problem I just made by:

√(a)+√(b).

If you had  \frac{\text{whatever}}{√(a)+√(b)}, then you would multiply top and bottom the conjugate of √(a)+√(b) which is √(a)-√(b).

The conjugate of a+b is a-b.

These have a term for it because when you multiply them something special happens.  The middle terms cancel so you only have to really multiply the first terms and the last terms.

Let's see:

(a+b)(a-b)

I'm going to use foil:

First:  a(a)=a^2

Outer: a(-b)=-ab

Inner:  b(a)=ab

Last:    b(-b)=-b^2

--------------------------Adding.

a^2-b^2

See -ab+ab canceled so all you had to do was the "first" and "last" of foil.

This would get rid of square roots if a and b had them because they are being squared.

Anyways the conjugate of √(17)-√(2) is

√(17)+√(2).

This is the thing we are multiplying and top and bottom.

Captain Jessica has a ship, the H.M.S. Khan. The ship is two furlongs from the dread pirate Luis and his merciless band of thieves. The Captain has probability 4/9 of hitting the pirate ship. The pirate only has one good eye, so he hits the Captain's ship with probability 1/4 ​​.If both fire their cannons at the same time, what is the probability that both the pirate and the Captain hit each other's ships?

Answers

Answer: Probability that both the pirate and the Captain hit each other's ships is (1)/(9)

Step-by-step explanation:

since we have given that

Probability that the captain hits the pirate ship is given by

(4)/(9)

Probability that the pirate hits the Captains's ship is given by

(1)/(4)

So, we have to find the "Probability that both the pirate and the Captain hit each other's ship"  is given by

P(\text{Captain hits})* P(\text{ Pirates hit})\n\n=(4)/(9)* (1)/(4)\n\n=(1)/(9)

Hence, probability that both the pirate and the Captain hit each other's ships is (1)/(9)

The probability that both the pirate and the Captain hit each other's ships is (1)/(9). This can be calculated by calculating the joint probability of both events.

What is joint probability?

A joint probability is a probability that two events will occur together and at the same time. Simply it is the probability that A occurs at the same time when B occurs. It can be calculated as:

P(A and B) = P(A) * P(B), where P(A and B) is the joint probability of A and B occurring together, P(A) is the probability of A, and P(B) is the probability of B.

Given:

The probability of Captain hitting the pirate ship is  (4)/(9)

The probability of pirate hitting the Captain's ship is (1)/(4).

Therefore the joint probability will be:

(4)/(9)*(1)/(4) = (1)/(9)

Learn more about Joint probability here:

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