Joseph wants to estimate 1 3/7 * 5 4/3 To estimate, he simplifies the expression 1 1/2 * 6

Is Joseph’s estimate a close estimate, an underestimate, or an overestimate?

Answers

Answer 1

Answer: $1 (3)/(7) * 5 (4)/(3) = (10)/(7) * (19)/(3) = (190)/(21) \approx 9,0476..$
When he simplified the expression:
$1 (1)/(2) *6= (3)/(2) * (6)/(1) = (18)/(2) = 9$
$9,047 \approx 9,05 \approx 9$
I think Joseph's estimate a close estimate.

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What is 9 to the 3rd power

Answers

9^3 = 9 times 9 times 9 = 729

Since 9x9=81, you multiply 81 by 9. So, 729.

What is the final balance for the investment? $1500 for 3 years at 10% compounded annually A.$1625.00 B.$1875.00 C.$1996.50 D.$2110.50

Answers

$the\ final\ balance:\n \nFB=1500\cdot(1+ (10)/(100) )^3=1500\cdot(1,1)^3=1500\cdot1.331=1,996.50\ [\$]\n \nAns.\ C$

Solve 5X30 draw a picture

Answers

150 is your correct answer

Let's break it down. What is 5x3? After you get your answer but that extra zero in "30" Behind your some like this: (130) Then, to draw a picture draw 5 stick men, plus 3 stick men to the side show how you broke it down. Then show how to add the zero on the end.

Hope this helped :)

alisson separates her 23 stickers into 4 equal piles.how many stickers does she have left over? A27 B 19 C 5 D 3

Answers

We need to find the remainder- the sticker left over

Divide 23 stickers into 4 piles = 23/4= 5 stickers per pile and 3 stickers left over

D. She would have 3 stickers left over

Keisha read twice as many books as Ben read. Subtracting 4 from the number of books Keisha read and dividing by 2 gives the number of books Sheldon read. Sheldon read 10 books. How many books did Ben read? Show step by step answer

Answers

Ben read 12 books

Firstly you know how any books Sheldon read so to find out number of books Keisha read you go backwards to what they have mentioned.

You times number of books Sheldon has read by 2 then add 4 ( because it says subtract 4 and divide by 2).

(10x2) +4=24

Now we know Keisha has read 24 books and she has read twice as many as Ben therefore number of books Ben has read:

24/2=12

Ben has read 12 books

So Sheldon read 10 so multiply that by 2 (because your doing the opposite of it to find answer) so 2x10=20,
plus 4 =24
So Keisha read 24 books which is twice as many as Ben so divide that by 2 to get the number of books Ben read.
So 24 divided by 2 = 12
Ben read 12 books

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:

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