If 4x+5y=10 and x+3y = 8 then (5x+8y)/3=

Answers

Answer 1

Answer: First set up a system of equations and solve.

4x+y=10
x+3y=8
In order to have one variable cancel out, I will multiply the top by -3.

-12x-3y=-30
x+3y=8
____________
-11x=-22
x=2

Then plug the x value into one of the original equations.

(2)+3y=8
3y=6
y=2

Now plug both into the final equation:
5(2)+8(2)/3
(10+16)/3
26/3
8.667 is the answer or 26/3.

Answer 2

Answer:

Answer:

13y/3 is the answer

Step-by-step explanation:

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Consider the product P(x) = (3x2 - 6x + 2)(7x + 3).What is the numerical coefficient of the x term in P(x)?Enter only a number for your answer.
a woman is expecting triplets. what is the probability that there are 2 girls and 1 boy? what is the probability that all 3 babies are girls

A hardcover book sells for 24$ at the bookmart. Ben pays 25.02 for the book. What is the sales tax rate?

Answers

The sales tax rate would be 5 percent.

Take the 5 and turn it to a decimal, 0.05.

Times that by 24. 0.05×24= 1.2

That equals out to 1.2, but since we're talking about money we have to add the zero at the end. 1.20.

Now add the 1.20 to 24.

24+1.20= 25.02.

hope this helps!

What is the area of a circle with a diameter of 200cm? Use 3.14 for pie.

Answers

Answer:

A≈31415.93cm²

Step-by-step explanation:

0=6(b+6)-6(b+8) How many solutions giveing brainlest

Answers

Answer:

There is no solution

Step-by-step explanation:

-12 does not equal 0

Find the average range. Round the mean and the average range to the nearest tenth. (Show all your work on scratch paper, then enter your answers below.) 3, 12, 15, 25, 30, 40

Answers

3, 12, 15, 25, 30, 40The range is the difference between the greatest and smallest values:
range = 40 - 3 = 37

Thee average is the sum of elements divided by the number of elements:
average = (3 + 12 + 15 + 25 + 30 + 40)/6
average = 125/6 = 20.83

Mr. and Mrs. Romero are expecting triplets. Suppose the chance of each child being a boy is 50% and of being a girl is 50%. Find the probability of each event. P(at least one boy anf one girl)

P(two boys and one girl)

P(at least two girls)

I don't care if you cab only answer one, I would very much appreciate it if you still answered that one instead of nothing.

Answers

Answer:

1) $\text{P(at least one boy and one girl)}=(3)/(4)$

2) $\text{P(at least one boy and one girl)}=(3)/(8)$

3) $\text{P(at least two girls)}=(1)/(2)$

Step-by-step explanation:

Given : Mr. and Mrs. Romero are expecting triplets. Suppose the chance of each child being a boy is 50% and of being a girl is 50%.

To Find : The probability of each event.

1) P(at least one boy and one girl)

2) P(two boys and one girl)

3) P(at least two girls)

Solution :

Let's represent a boy with B and a girl with G

Mr. and Mrs. Romero are expecting triplets.

The possibility of having triplet is

BBB, BBG, BGB, BGG, GBB, GBG, GGB, GGG

Total outcome = 8

$\text{Probability}=\frac{\text{Favorable outcome}}{\text{Total number of outcome}}$

1) P(at least one boy and one girl)

Favorable outcome = BBG, BGB, BGG, GBB, GBG, GGB=6

$\text{P(at least one boy and one girl)}=(6)/(8)$

$\text{P(at least one boy and one girl)}=(3)/(4)$

2) P(at least one boy and one girl)

Favorable outcome = BBG, BGB, GBB=3

$\text{P(at least one boy and one girl)}=(3)/(8)$

3) P(at least two girls)

Favorable outcome = BGG, GBG, GGB, GGG=4

$\text{P(at least two girls)}=(4)/(8)$

$\text{P(at least two girls)}=(1)/(2)$

Let's represent a boy with B and a girl with G

For example BBB is three boys and BGB is two boys and one girl.

These are all the possibilities

1) BBB

2) BBG

3) BGB

4) BGG

5) GBB

6) GBG

7) GGB

8) GGG

There is in total 8 different possibilities.

Now let's analyze the conditions

p (at least one boy and one girl)

That excludes only BBB and GGG so they are 6 possibilities out of 8

p = 6/8 = 3/4

p (two boys and one girl).

Those are 3 out of 8

p = 3/8

p (at least two girls)

Those are 3 (two girls) + 1(three girls) = 4

P = 4/8 = 1/2

Please, let me know if this was satisfactory for you.

What is the value of 3-(-2)?