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3 years ago

221 febrero 2021

Mathematics

1 answer:

DIA [1.3K]3 years ago

3 0

Answer:

uhhh i would love to help but i cant speak that language

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How come lemon washing up liquid contains real lemons, but lemon juice contains artificial flavorings.

attashe74 [19]

Answer:

Lemon juice is acidic and therefore is deemed unsafe to consume this can start to destroy the pancreas and other major arteries if not removed quickly

Step-by-step explanation:

3 0

3 years ago

If a/b < c/d with b > 0, d > 0, prove that a+c / b+d lies between the two fractions a/b and c/d .

Tems11 [23]

Divide through everything by b :

$\dfrac{a+c}{b+d} = \dfrac{\dfrac ab + \dfrac cb}{1 + \dfrac db}$

Since a/b < c/d, it follows that

$\dfrac{a+c}{b+d} < \dfrac{\dfrac cd+\dfrac cb}{1 + \dfrac db}$

Multiply through everything on the right side by b/d to get

$\dfrac{a+c}{b+d} < \dfrac{\dfrac{bc}{d^2}+\dfrac cd}{\dfrac bd+1} = \dfrac{\dfrac cd\left(\dfrac bd+1\right)}{\dfrac bd+1} = \dfrac cd$

and so (a + c)/(b + d) < c/d.

For the other side, you can do something similar and divide through everything by d :

$\dfrac{a+c}{b+d} = \dfrac{\dfrac ad + \dfrac cd}{\dfrac bd + 1}$

and a/b < c/d tells us that

$\dfrac{a+c}{b+d} > \dfrac{\dfrac ad + \dfrac ab}{\dfrac bd + 1}$

Then

$\dfrac{a+c}{b+d} > \dfrac{\dfrac ab + \dfrac{ad}{b^2}}{1 + \dfrac db} = \dfrac{\dfrac ab\left(1+\dfrac db\right)}{1 + \dfrac db} = \dfrac ab$

and so (a + c)/(b + d) > a/b.

Then together we get the desired inequality.

5 0

3 years ago

Solve x/10 = -7 a.x=-70 b.x=-0.7 c.x=3 d.x=-17

Brums [2.3K]

The answer is A. x=-70.

8 0

3 years ago

Cell phone plan A costs 79 per month and comes with a free 500 phone. Cell phone plan B costs 50 per month but does not come wit

meriva

Answer: it will take 25 months

Step-by-step explanation:

Let x represent the number of months that it will take for the cost of both plans to be the same.

Cell phone Plan A costs $70 per month and comes with a free $500 phone. This means that the total cost of x months with plan A would be

70 × x = $70x

Cell phone plan B costs 50 per month but does not come with a phone. If you buy the 500 phone and choose plan B, then the total cost of x months with plan B would be

500 + 50 × x = 500 + 50x

To determine the number of months until your cost is the same as Plan A's, we would equate both costs. It becomes

70x = 500 + 50x

70x - 50x = 500

20x = 500

x = 500/20 =25

8 0

3 years ago

Help with this proof

mixer [17]

Essentially, what we need to do here is prove that BE=EC, BE=CB, and.or CE=BC therefore making it isosceles. With ∠AEC=∠DEB, we know AE=DE, so EC=EB (the points go in order). Therefore, as EC=EB, BEC is isosceles (it has at least 2 equal sides).

Feel free to ask further questions!

7 0

3 years ago