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3 years ago

1. Write an algebraic expression to represent each verbal phrase.

Mathematics

1 answer:

pantera1 [17]3 years ago

8 0

Answer:

a) p+2

b) 193x+19

c) 18 - a÷b

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don walked 3 3/5 miles on Friday, 3.7 miles on saturday, and 3 5/8 miles on sunday. list the distances from least to greatest

astraxan [27]

Solution:

we are given that

Don walked 3 3/5 miles on Friday

It can be re-written as

$3\frac{3}{5}miles=\frac{18}{5}= 3.6$ miles

3 5/8 miles on sunday.

It can be re-written as

$3\frac{5}{8}miles=\frac{29}{8}= 3.625$ miles

an d He walk 3.7 miles on satarday.

The distances from least to greatest is 3.6, 3.625, 3.7

The distances from least to greatest is $3\frac{3}{5}$ miles, $3\frac{5}{8}$ miles, 3.7 miles.

8 0

3 years ago

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

4 0

4 years ago

NEED HELP!!!

Dahasolnce [82]

Answer:

No.

Step-by-step explanation:

The solution x = 0 means that the value 0 satisfies the equation, so there is a solution. “No solution” means that there is no value, not even 0, which would satisfy the equation.

7 0

3 years ago

What percent of all children like the Simpsons? Round your answer to the nearest tenth of a percent. Type a numerical answer

juin [17]

90/300

To make it simpler, make it,out of 100 by dividing it all by 3. This will make it:

30/100

Therefore it is 30%

3 0

4 years ago

Read 2 more answers

Solve the compound inequality 8x > –32 or 6x ≤ –48.

Korvikt [17]

Answer:

x>-4 x≤-8

Step-by-step explanation:

3 0

3 years ago