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BartSMP [9]
2 years ago
15

With a.b.c=1 and a+b+c=1 Prove that:

Mathematics
1 answer:
igor_vitrenko [27]2 years ago
7 0

Answer:

HOPE IT HELPS PLZ MARK ME BRAINLIEST

Step-by-step explanation:

abc=1

⟹c=1/ab

1/(1+a+1/b)+1/(1+b+1/c)+1/(1+c+1/a)

=1/(1+a+1/b)+1/(1+b+ab)+1/(1+1/ab+1/a)

=b/(1+b+ab)+1/(1+b+ab)+ab/(1+b+ab)

=1+b+ab/(1+b+ab)

=1

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3. Lonnie has a gift card worth $600 for a local entertainment store. Movies cost $20 each and newly released video games cost $
Mandarinka [93]

Answer:

8 movies and 6 video games

<em></em>

Step-by-step explanation:

Given

Gift\ Card = \$600

Movies =\ $20

Video\ Game = \$50

Minimum\ Items = 13

Required

Determine the items Lonnie can afford

To solve this question, we make use of trial by error method by taking the options one at a time:

Option 1: 6 movies and 4 video games

<em>This option can not be considered because the number of items is not up to the minimum Lonnte must purchase.</em>

<em />

Option 2: 14 movies and 7 video games

Cost = 14 * \$20 + 7 * \$50

Cost = \$280 + \$350

Cost = \$630

<em>This option can not be considered because the cost of purchase is greater than Lonnte's worth of Gift card.</em>

<em />

Option 3: 2 movies and 10 video games

<em>This option can not be considered because the number of items is not up to the minimum Lonnte must purchase.</em>

<em />

Option 4: 8 movies and 6 video games

Cost = 8 * \$20 + 6 * \$50

Cost = \$160 + \$300

Cost = \$460

Hence, the correct option is <em>8 movies and 6 video games </em>

4 0
3 years ago
What percent of 11 is 44%
Inga [223]

Answer:

4

Step-by-step explanation:

cause math

3 0
3 years ago
Read 2 more answers
Hi I also need help with this please and thank you
OverLord2011 [107]

Answer:

Step-by-step explanation:

y=mx+b where m=slope and b=y intercept

m=(y2-y1)/(x2-x1)

m=(-2-4)/(2+1)

m=-2 so far we have the slope

y=-2x+b, using point (2,-2) we can solve for b, the y intercept

-2=-2(2)+b

-2=-4+b

2=b so we have our line

y=-2x+2, slope is -2 and y intercept is 2

8 0
3 years ago
Solve this equation 2(x+3)=x-4​
horrorfan [7]

Answer: The answer is x = -10

5 0
2 years ago
Paul is making bread using a recipe. The amount of flour he uses is proportional to the number of loaves of bread. He uses 1114
DiKsa [7]

Answer:

$20

Step-by-step explanation:

Paul is making bread using a recipe. The amount of flour he uses is proportional to the number of loaves of bread. He uses 11 1/4 cups of flour to make 5 loaves of bread. If Paul used 18 cups of flour, and then sold the loaves of bread he made at a bake sale for $2.50 each, how much money would Paul make from his bread sales?

Step 1

Find out how many loaves of bread he can produce from 18 cups of flour

11 1/4 cups of flour = 5 loaves of bread

18 cups of flour = x loaves of bread

Cross Multiply

11 1/4 cups × x loaves = 18 cups × 5 loaves

x loaves = 18 cups × 5 loaves/ 11 1/4 cups

x loaves = 90 ÷ 11 1/4

x loaves = 90 ÷ 45/4

x loaves = 90 × 4/45

x loaves = 8 loaves of bread

He can produce 8 loaves of bread from 18 cups of flour.

Step 2

We are told that:

1 loaf of bread costs $2.50

Hence,

1 loaf of bread = $2.50

8 loaves of bread = $x

Cross Multiply

$x = 8 loaves of bread × $2.50

$x = $20

Therefore, Paul made $20 from his bread sales

8 0
2 years ago
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