All categories

2 years ago

Given the equation 2x = 4y - 3 write another linear equation that would create a system that has the number of solutions listed

Mathematics

1 answer:

Harman [31]2 years ago

7 0

Answer:

A. $2x-4y=\pi$
B. $x=1$

C. $2x-4y=3$

Step-by-step explanation:

A. $2x-4y=\pi$ . Any number could work as long as the coefficients for x and y stays the same. You are basically imposing that the quantity 2x-4y (if you bring 4y to the LHS) is equal to both -3 AND $\pi$ , or any number you like. But yesterday was 3/14 so let's pick a fun number!

B. $x=1$ Or $y=1$ . Or as long as you don't pick the same ratios of x and y you're golden. But x=1 is the easiest that comes to mind

C. $2x-4y=3$ . To get infinitely many solutions you just have to rewrite the equation again. Maybe move things around if you prefer, or multiply everything by a number you lile.

You might be interested in

What is the lcm of 60

Crazy boy [7]

You need more numbers

3 0

3 years ago

Read 2 more answers

purchase 7 servings of yogurt each serving of yogurt weighs 1/4 pounds write an improper fraction as a mixed number to show the

miss Akunina [59]

7 times 1/4 = 7/4 = 1 3/4 Answer = 1 3/4

8 0

3 years ago

Find 2 consecutive integers that the sum is 149?

disa [49]

Write an equation. To do this, make one integer equal to x, and the other equal to x+1. Set these equal to 149. Your equation should read x+(x+1)=149. Solve. To do this, add the two x's together. Your equation is now 2x+1=149. Get your x's alone. First, subtract 1 from both sides. Now the equation is 148=2x. Divide both sides by 2 to get x alone. You now have x=74. Plug this value back into the original equation to find your value for the other integer, and you have the two integers as 74 and 75. Hope this helps!

7 0

3 years ago

A committee of 15 members is voting on a proposal. Each member casts a yea or nay vote. On a random voting basis, what is the pr

Igoryamba

Answer:

0.006% probability that the final vote count is unanimous.

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they vote yes, or they vote no. The probability of a person voting yes or no is independent of any other person. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

Random voting:

So 50% of voting yes, 50% no, so $p = 0.5$

15 members:

This means that $n = 15$

What is the probability that the final vote count is unanimous?

Either all vote no(P(X = 0)) or all vote yes(P(X = 15)). So

$p = P(X = 0) + P(X = 15)$

In which

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{15,0}.(0.5)^{0}.(0.5)^{15} = 0.00003$

$P(X = 15) = C_{15,15}.(0.5)^{15}.(0.5)^{0} = 0.00003$

$p = P(X = 0) + P(X = 15) = 0.00003 + 0.00003 = 0.00006$

0.006% probability that the final vote count is unanimous.

7 0

3 years ago

Please help !!

Maurinko [17]

Answer: The number of ceral boxes per day.

Because the slope will be [rise of the grah of the model function] / [run of the graph of the model function].

rise = [increase in the number of cereal boxes sold]

run = [days elapsed ]

rise / run = number of cereal boxes sold per day

8 0

4 years ago

Read 2 more answers