If 2/3x+1/2y=5 what is the value of 4x+3y

Answers

Answer 1

Answer:

Final answer:

To find the value of 4x + 3y, the given equation can be solved by clearing the fractions and simplifying the expression. The value of 4x + 3y is 30.

Explanation:

To find the value of 4x + 3y, we need to first solve the given equation for either x or y. Let's solve the equation for x:

2/3x + 1/2y = 5

Multiplying both sides of the equation by 6 to clear the fractions gives us:

4x + 3y = 30

Therefore, the value of 4x + 3y is 30.

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Answer 2

Answer: Slope=
2.000
2.667

=1.333
x−intercept=
4
30

=
2
15

=7.50000
y−intercept=
−3
30

=
−1
10

=−10.00000

Related Questions

Is 4 a solution to the equation 5+x=10? Explain.

Answers

9514 1404 393

Answer:

no, it makes the equation false

Step-by-step explanation:

A "solution" is a value of x that makes the equation true. When we use 4 in place of x here, we get ...

5 + 4 = 10

9 = 10 . . . . . . . a false statement

The value x=4 does not make the equation true, so it is not a solution.

Answer:no

Step-by-step explanation:

At a concession stand, seven hot dogs and two hamburgers cost $16.25; two hot dogs and seven hamburgers cost $17.50. Find the cost of one hot dog and the cost of one hamburger.

Answers

The cost of 1 hot dog is $1.75 and the cost of 1 hamburger is $2.

Let x be the cost of one hot dog and y be the value of one hamburger. we will set up a system of linear equations to solve for x and y:

From the first statement, we recognize that:

7x + 2y = 16.25 ----(1)

From the second statement, we know that:

2x + 7y = 17.50 ----(2)

We will use both substitution or elimination method to solve this system of equations. let's use elimination method right here. we are able to multiply equation (1) through 7 and equation (2) by 2 to eliminate y:

49x + 14y = 113.75 ----(3)

4x + 14y = 35 ----(4)

Subtracting equation (4) from equation (3), we get:

45x = 78.75

Dividing each sides by using 45, we get:

x = 1.75

Substituting x = 1.75 into equation (1), we can solve for y:

7(1.75) + 2y = 16.25

12.25 + 2y = 16.25

2y = 4

y = 2

Consequently, the cost of 1 hot dog is $1.75 and the cost of 1 hamburger is $2.

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A flower bed is in the shape of a triangle with one side twice the length of the shortest side and the third side is 12 feet more than the length of the shortest side.Find the dimensions if the perimeter is 136 feet

Answers

x - the shortest side

x + 28

The sum of these must be equal to the perimeter of the flower bed, so

x + 2x + x + 28 = 184

4 x + 28 = 184 Combined like terms

4x = 156 Subtracted 28 from both sides

x = 39 Divided both sides by 4.

So the dimensions are 39 feet, 78 feet, and 67 feet

The computer that controls a bank's automatic teller machine crashes a mean of 0.5 times per day. What is the probability that, in any seven-day week, the computer will crash less than 3 times? Round your answer to four decimal places.

Answers

Answer:

0.3216 = 32.16% probability that, in any seven-day week, the computer will crash less than 3 times

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

$P(X = x) = (e^(-\mu)*\mu^(x))/((x)!)$

In which

x is the number of sucesses

e = 2.71828 is the Euler number

$\mu$ is the mean in the given time interval

Mean of 0.5

7-day week, so $\mu = 7*0.5 = 3.5$

What is the probability that, in any seven-day week, the computer will crash less than 3 times?

$P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)$

In which

$P(X = x) = (e^(-\mu)*\mu^(x))/((x)!)$

$P(X = 0) = (e^(-3.5)*(3.5)^(0))/((0)!) = 0.0302$

$P(X = 1) = (e^(-3.5)*(3.5)^(1))/((1)!) = 0.1057$

$P(X = 2) = (e^(-3.5)*(3.5)^(2))/((2)!) = 0.1850$

$P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0302 + 0.1057 + 0.1857 = 0.3216$

0.3216 = 32.16% probability that, in any seven-day week, the computer will crash less than 3 times

Final answer:

To find the probability that the computer will crash less than 3 times in a seven-day week, we can use the binomial probability formula.

Explanation:

To find the probability that the computer will crash less than 3 times in a seven-day week, we can use the binomial probability formula. The formula for binomial probability is:

$P(X = k) = C(n, k) * p^k * (1-p)^{(n-k)$

Where:

P(X = k) is the probability of exactly k successes
C(n, k) is the combination function for choosing k items from a set of n
p is the probability of success for each individual trial
n is the number of trials

In this case, the mean number of crashes per day is 0.5, which means the probability of a crash in a single day is 0.5. Since we're interested in the probability of less than 3 crashes in a seven-day week, we can calculate P(X < 3) using the binomial probability formula with n = 7, p = 0.5, and k = 0, 1, 2:

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)

Using the binomial probability formula, we can calculate:

$P(X = 0) = C(7, 0) * 0.5^0 * (1-0.5)^(^7^-^0)\nP(X = 1) = C(7, 1) * 0.5^1 * (1-0.5)^(^7^-^1)\nP(X = 2) = C(7, 2) * 0.5^2 * (1-0.5)^(^7^-^2)$

Adding these probabilities together will give us the probability of less than 3 crashes in a seven-day week.

Rounding the final probability to four decimal places, we get the probability that the computer will crash less than 3 times in a seven-day week.

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Which equation is a function?O A. X = -2
O B. Y= 2x – 9
O C. y² = x - 2
O D. x² + y² = 9

Answers

the answer is B -- no matter the x factor y should be single

Question 1x + 6 = 23 x = ____

Question 2
Solve.
x - 7 = 12 x = ___

Question 3
Solve. Round your answer to the nearest tenth.

4x = 13 x = ____

Question 4
Solve. Round your answer to the nearest tenth.

3x + 1 = 15

Answers

Answer:

1. x=17

2. x=19

3. x=3

4. x=4

Answer:

question 1:

3/11

question 2:

- 7/11

Step-by-step explanation:

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