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Use the number 8,6, and 2 and one operation to write an expression that includes an exponent and has a value of 8. Use each numb

podryga [215]

$6 + 2^1 = 8$ is the expression that includes an exponent and has a value of 8

Solution:

Given that, Use the number 8, 6, and 2 and one operation to write an expression that includes an exponent and has a value of 8

We have to use each number only once

Given numbers are 8, 6, 2

Our expression should include exponent and the result should be 8

Among 6 and 2 we can use 2 for exponent

Raise 2 to power of 1

The expression becomes:

$6 + 2^1 = 8$

Here we have used one operation, that is addition

Verifying the expression

$6 + 2^1 = 6 + 2 = 8$

Thus the required expression is found

8 0

3 years ago

A poker hand consisting of 9 cards is dealt from a standard deck of 52 cards. Find the probability that the hand contains exactl

Andrew [12]

Answer: $\dfrac{^{12}C_{6}\times^{40}C_3}{^{52}C_9}$ or $\dfrac{228}{91885}$ .

Step-by-step explanation:

Given : A poker hand consisting of 9 cards is dealt from a standard deck of 52 cards.

The total number of cards in a deck 52

Number of faces cards in a deck = 12

Number of cards not face cards = 40

The total number of combinations of drawing 9 cards out of 52 cards = $^{52}C_9$

Now , the combination of 9 cards such that exactly 6 of them are face cards = $^{12}C_{6}\times^{40}C_3$

Now , the probability that the hand contains exactly 6 face cards will be :-

$\dfrac{^{12}C_{6}\times^{40}C_3}{^{52}C_9}$

$=\dfrac{\dfrac{12!}{6!6!}\times\dfrac{40!}{3!37!}}{\dfrac{52!}{9!\times43!}}\ \ [\because\ ^nC_r=\dfrac{n!}{r!(n-r)!}]\\\\=\dfrac{228}{91885}$

Hence, the probability that the hand contains exactly 6 face cards. is $\dfrac{228}{91885}$ .

6 0

3 years ago

Evaluate the expression y=7 x=8 x+ 4y

Elena L [17]

Answer:

36

Step-by-step explanation:

x+4y=8+4(7)=8+28=36

8 0

3 years ago

Read 2 more answers

The cost y (in dollars) to rent a kayak is proportional to the number x of hours that you rent the kayak. It costs $27 to rent t

Natalija [7]

Y= 9x. If 27 dollars is the cost for 3 hours, finding the price for one hour is simple. You would take the cost divided by the time. The slope would be 9 because if you graphed (1,9) (2,18) and (3,27) [the costs per the hours] you could find that, what I use, rise over run. Basically, you can count how far from two points to get slope. Starting with the y, from 9 to 18 is 9. Then, with x, 2 to 1 is 1. So, the slope is 9/1 or 9

3 0

3 years ago

Brenda pays $30 for materials to make earrings. She makes 10 earrings and sells 7 for $5 and 3 for $2. Write a numerical express

masha68 [24]

Brenda’s Profit is $11
This is because she spent $30 to begin with and made a total of $41, once the expenses for materials have been subtracted she is left with $11.
5x + 2y=41
x=7 (for the # of earrings sold for $5)
y= 3 (for the # of earrings sold for $2)
5(7) + 2(3)=41
41 - 30 = 11

6 0

3 years ago