3 years ago

What is the simplest form of the numerical expression 5+16/4-2^3 ?

Mathematics

1 answer:

Anna35 [415]3 years ago

8 0

Answer:

5+4-8

Step-by-step explanation:

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Quantity (Bottles of Cleanser) Cost

seraphim [82]

Answer:

D. 8 bottles

Step-by-step explanation:

one bottle of one is obviously $6.50

one bottle of two : $12.50 (1/2) = $6.25

one bottle of four: $26.00 (1/4) = $6.50

one bottle of six: $30.00 (1/6) = $5.00

one bottle of eight: $38.00 (1/8) = $4.75

8 bottles is the best buy

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3 years ago

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Can somebody prove this mathmatical induction?

Flauer [41]

Answer:

See explanation

Step-by-step explanation:

1 step:

n=1, then

$\sum \limits_{j=1}^1 2^j=2^1=2\\ \\2(2^1-1)=2(2-1)=2\cdot 1=2$

So, for j=1 this statement is true

2 step:

Assume that for n=k the following statement is true

$\sum \limits_{j=1}^k2^j=2(2^k-1)$

3 step:

Check for n=k+1 whether the statement

$\sum \limits_{j=1}^{k+1}2^j=2(2^{k+1}-1)$

is true.

Start with the left side:

$\sum \limits _{j=1}^{k+1}2^j=\sum \limits _{j=1}^k2^j+2^{k+1}\ \ (\ast)$

According to the 2nd step,

$\sum \limits_{j=1}^k2^j=2(2^k-1)$

Substitute it into the $\ast$

$\sum \limits _{j=1}^{k+1}2^j=\sum \limits _{j=1}^k2^j+2^{k+1}=2(2^k-1)+2^{k+1}=2^{k+1}-2+2^{k+1}=2\cdot 2^{k+1}-2=2^{k+2}-2=2(2^{k+1}-1)$

So, you have proved the initial statement

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3 years ago

The cost of movie tickets for a group of friends is $24. They buy 3 snacks. The cost of each snack us the same. The group spends

Bond [772]

Answer:

Answer is 6.5 dollars.

Step-by-step explanation:

Cost of movie tickets and snacks in total = 43.50

Cost of tickets = $24

Cost of Snacks = 43.50-24 =19.5$

number of snacks = 3

Cost of one snack = 19.5 ÷ 3 = 6.5$

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3 years ago

Sam is making trail mix the recipe requires 1 1/2 cups of raisins for 6 cups of peanuts. How many cups will he of raisins will h

LuckyWell [14K]

You will need .5 cups of rasi w

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3 years ago

Use the distributive property to fill in the blanks below. 8 (9 - 2) = (8 x D) - (8 xD

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5 0

2 years ago

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