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3 years ago

Another question: r = ab/a+b Find a....

Mathematics

2 answers:

AnnyKZ [126]3 years ago

8 0

I think the answer is br/b-r = a

MArishka [77]3 years ago

4 0

Keep in mind, because they didn't give us any values we can only find what a equals in terms of the other variables. You'll see what I mean after we get to the final answer.

r = (ab)/(a+b)

Multiply both sides by (a+b)

r(a+b) = (ab)

Divide by r on both sides.

(a+b) = (ab)/r

Subtract b on both sides.

a = ((ab)/r) - b

You can't simplify it any further to my knowledge. Well, besides getting a common denominator with b and subtracting them, but it won't really simplify things.

Now. Let's get a better answer... haha. Here we go:

r = (ab)/(a+b)

Same step. Multiply on both sides.

r(a+b) = (ab)

This time distribute the r to all values.

ar + br = (ab)

Subtract ar on both sides.

ar + br - ar = ab - ar

br = ab - ar

Next step! Factor "a" out of ab - ar by making it a quantity time "a" with "a" removed...
it's easier to show than to explain. So here you go:

br = a(b - r)

Divide (b - r) on both sides.

(br)/(b-r) = a

Hope that helped some! :p

You might be interested in

Two 5-year girls, Alyse and Jocelyn, have been training to run a 1-mile race. Alyse's 1 mile time A is approximately Normally di

tatyana61 [14]

Answer:

1.7 × 10⁻⁴

Step-by-step explanation:

The question relates to a two sample z-test for the comparison between the means of the two samples

The null hypothesis is H₀: μ₁ ≤ μ₂

The alternative hypothesis is Hₐ: μ₁ > μ₂

$z=\dfrac{(\bar{x}_1-\bar{x}_2)-(\mu_{1}-\mu _{2} )}{\sqrt{\dfrac{\sigma_{1}^{2} }{n_{1}}-\dfrac{\sigma _{2}^{2}}{n_{2}}}}$

Where;

$\bar {x}_1$ = 13.5

$\bar {x}_2$ = 12

σ₁ = 2.5

σ₂ = 1.5

We set our α level at 0.05

Therefore, our critical z = ± 1.96

For n₁ = n₂ = 23, we have;

$z=\dfrac{(13.5-12)-(0)}{\sqrt{\dfrac{2.5^{2} }{23}-\dfrac{1.5^{2}}{23}}} = 3.5969$

We reject the null hypothesis at α = 0.05, as our z-value, 3.5969 is larger than the critical z, 1.96 or mathematically, since 3.5969 > 1.96

Therefore, there is enough statistical evidence to suggest that Alyse time is larger than Jocelyn in a 1 mile race on a randomly select day and the probability that Alyse has a larger time than Jocelyn is 0.99983

Therefore;

The probability that Alyse has a smaller time than Jocelyn is 1 - 0.99983 = 0.00017 = 1.7 × 10⁻⁴.

8 0

3 years ago

P+q=1 and pq=-20. What are the values of p and q?

andrey2020 [161]

Answer:

Step-by-step explanation:

5, -4

5-4=1

5(-4)=-20

6 0

3 years ago

M,H, and G have written more than a combined total of 22 articles. H has written 1/4 as many as M. G has written 3/2 as M. Write

Natalka [10]

Missing part of the question:

Write an inequality to determine the number of articles, M could have written for the school newspaper.

Answer:

The inequality: $11M > 88$

The solution: $M > 8$

Step-by-step explanation:

Given

From the question, we have the following parameters:

$M + H + G > 22$

$H = \frac{1}{4}M$

$G = \frac{3}{2}M$

Required

Determine the inequality to solve for M

Substitute the values for H and G in the inequality:

$M + H + G > 22$

$M + \frac{1}{4}M + \frac{3}{2}M > 22$

Multiply through by 4

$4(M + \frac{1}{4}M + \frac{3}{2}M) > 22*4$

$4M + M + 6M > 88$

$11M > 88$

Divide both sides by 11

$M > 8$

4 0

3 years ago

Please help me with the answer I keep getting it wrong

Vsevolod [243]

First because it's a broken line we know it's an inequality.

next we find the slope we can take points (0,4) and (2,0) thus (y2-y1)÷(x2-x1)

substituting any value of x for either x1 or x2 and any value of y for y1 and y2 we can get

slope is -2

so now we can take either points to find the equation by the formula

y-yo=m (x-xo) where m is slope

after substitution we can get

y-4=-2 (x-0)

y=-2x+4

3 0

3 years ago

FIRST ONE TO ANSWER GETS BRAINIEST: Lauren's fruit salad recipe calls for 15 cups of apples for every 3 cups of grapes. How many

quester [9]

Answer:

1/5 cup of grapes for each cup of apples

Step-by-step explanation:

Divide: 3 divided by 15=0.2

0.2 as a fraction is 2/10

2/10 simplified=1/5

(I was gonna put picture of my work, but I'm too lazy, lol)

Hope this helped!! :)

Stay safe and have a wonderful day/night!!!!!

Brainliest?!?!

6 0

3 years ago