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murzikaleks [220]

2 years ago

9

What is the relationship between the 4s in the number 4,498

2 answers:

Akimi4 [234]2 years ago

8 0

There both 4 and there are the 4th number

Ugo [173]2 years ago

3 0

Try relation between the 4s 4,498 are the; 4,000 and 400

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Morris has 2 3/4 gallons of ice tea. He gives 3/7 of it to her friend. How many gallons of ice tea does Morris have left?

lara31 [8.8K]

Answer:

$2 \frac{9}{28}$ gallons of ice tea is left with Morris

Step-by-step explanation:

Morris has 2 3/4 gallons of ice tea. He gives 3/7 of it to her friend.

Morris has 2 3/4 gallons of ice tea

$2\frac{3}{4}= \frac{2*4+3}{4}=\frac{11}{4}$

He gives 3/7 of it to her friend.

To find how many gallons of ice tea does Morris have left , we subtract 3/7 from 11/4

$\frac{11}{4}- \frac{3}{7}$

Make the denominators same

$\frac{11*7}{4*7}- \frac{3*4}{7*4}$

$\frac{77}{28}- \frac{12}{28}$

$\frac{65}{28}$

$\frac{65}{28} = 2 \frac{9}{28}$

7 0

2 years ago

WHAT IS THE REMAINDER WHEN <img src="https://tex.z-dn.net/?f=32%5E%7B37%5E%7B32%7D%20%7D" id="TexFormula1" title="32^{37^{32} }"

Feliz [49]

Recall Euler's theorem: if $\gcd(a,n) = 1$ , then

$a^{\phi(n)} \equiv 1 \pmod n$

where $\phi$ is Euler's totient function.

We have $\gcd(9,32) = 1$ - in fact, $\gcd(9,32^k)=1$ for any $k\in\Bbb N$ since $9=3^2$ and $32=2^5$ share no common divisors - as well as $\phi(9) = 6$ .

Now,

$37^{32} = (1 + 36)^{32} \\\\ ~~~~~~~~ = 1 + 36c_1 + 36^2c_2 + 36^3c_3+\cdots+36^{32}c_{32} \\\\ ~~~~~~~~ = 1 + 6 \left(6c_1 + 6^3c_2 + 6^5c_3 + \cdots + 6^{63}c_{32}\right) \\\\ \implies 32^{37^{32}} = 32^{1 + 6(\cdots)} = 32\cdot\left(32^{(\cdots)}\right)^6$

where the $c_i$ are positive integer coefficients from the binomial expansion. By Euler's theorem,

$\left(32^{(\cdots)\right)^6 \equiv 1 \pmod9$

so that

$32^{37^{32}} \equiv 32\cdot1 \equiv \boxed{5} \pmod9$

7 0

1 year ago

What is 2gh−(3+7)+ 4 x

Leno4ka [110]

Answer:

answer -10

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

What is x-(3)/(5)=(5x)/(6)? with steps answer fast

Anettt [7]

hi

x- 3/5 = 5x/ 6

6x - 18/5 = 5x

6x -5x = 18/5

x = 18/5

let's check : 18/5 - 3/5 = 15/5 = 3

5 * 18/5 / 6 = 18/6 = 3

result is correct.

8 0

2 years ago

Is 5/8 bigger or smaller than 4/6<br>is -3/2 bigger or smaller than -4/6

Mashutka [201]

$\frac{5}{8} ....\frac{4}{6} \\\\ \frac{15}{24} < \frac{16}{24} \\\\\\ -\frac{3}{2} ....-\frac{4}{6} \\\\ -\frac{9}{6} < -\frac{4}{6}$

8 0

3 years ago

Read 2 more answers