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3 years ago

I thought I had the right answer but apparently I don't. Help would be greatly appreciated. Thank you!

Mathematics

1 answer:

erma4kov [3.2K]3 years ago

5 0

Answer:

1/36

Step-by-step explanation:

To get a sum of 2, both dice must roll a 1.

The probability of a 1 on the first die is 1/6.

The probability of a 1 on the second die is 1/6.

Therefore, the probability of rolling both 1s is:

P = 1/6 × 1/6 = 1/36

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The system of equations has no solution: True or False? y = (2/3)x - 5 4x - 6y = 30

Anni [7]

It’s false because, a system of linear equations has one solution when the graphs intersect at a point.

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4 years ago

Read 2 more answers

Determine the equivalent system for the given system of equations. 4x - 5y = 2 3x - y = 8

Black_prince [1.1K]

Solving the system of equations we get solution set (38/11,26/11)

Step-by-step explanation:

We need to solve the system of equations:

$4x - 5y = 2\\3x - y = 8$

Let:

$4x - 5y = 2\,\,\,eq(1)\\3x - y = 8\,\,\,eq(2)$

Multiply equation 2 with 5 and subtract both equations to find value of x:

$4x - 5y = 2\\15x - 5y = 40\\-\,\,\,\,+\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,-\\--------\\-11x=-38\\x=\frac{-38}{-11}\\x=\frac{38}{11}$

So, value of x = 38/11

Now, finding y:

Putting value of x in equation 2

$3x-y=8\\3(\frac{38}{11})-y=8\\\frac{114}{11}-y=8\\-y=8-\frac{114}{11}\\-y=\frac{8*11-114}{11}\\-y=\frac{88-114}{11}\\-y=\frac{-26}{11}\\y=\frac{26}{11}$

So, value of y = 26/11

So, Solving the system of equations we get solution set (38/11,26/11)

Keywords: System of equations

Learn more about system of equations at:

#learnwithBrainly

6 0

3 years ago

When Han makes chocolate milk, he mixes 2 cups of milk with 3 tablespoons of chocolate syrup. Here is a table that shows how to

Korvikt [17]

Answer:

Part a) The table shows a proportional relationship between tablespoons of chocolate syrup and cups of milk

Part b) The scale factor is 1.5

Part c) The constant of proportionally for this relationship is 1.5

Part d) The units for the constant of proportionality are tablespoons of chocolate syrup per cups of milk

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $y/x=k$ or $y=kx$

In a proportional relationship the constant of proportionality k is equal to the slope m of the line

Let

x ----> the quantity of cups of milk

y ----> the quantity of tablespoons of chocolate syrup

k ---> the constant of proportionality

For y=3, x=2 -----> $k=\frac{y}{x}=\frac{3}{2}=1.5$

For y=12, x=8 -----> $k=\frac{y}{x}=\frac{12}{8}=1.5$

For y=3/2, x=1 -----> $k=\frac{y}{x}=\frac{(3/2)}{1}=1.5$

For y=15, x=10 -----> $k=\frac{y}{x}=\frac{15}{10}=1.5$

therefore

The table shows a proportional relationship between tablespoons of chocolate syrup and cups of milk

The linear equation is

$y=1.5x$

That means----> The the quantity of tablespoons of chocolate syrup is 1.5 times the quantity of cups of milk

The scale factor is equal to the ratio between tablespoons of chocolate syrup and cups of milk. Is equal to the constant of proportionality k

The scale factor is 1.5

The constant of proportionality is 1.5

The units for the constant of proportionality are tablespoons of chocolate syrup per cups of milk

$\frac{tablespoons\ of\ chocolate\ syrup}{cups\ of\ milk}$

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