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3 years ago

(2,3) (7,4) point slope form

Mathematics

1 answer:

yuradex [85]3 years ago

7 0

Answer:

$y-3=\frac{1}{5} (x-2)$

Step-by-step explanation:

First you need to find the slope by using this formula: $m=\frac{y_2-y_1}{x_2-x_1}$

$m=\frac{(4)-(3)}{(7)-(2)}\\m=\frac{1}{5}$

Now you can put it in point slope form which is: $y-y_1=m(x-x_1)$

$y-3=\frac{1}{5} (x-2)$ is your answer.

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Monica has 2 gallons of milk to make milkshakes. Each milkshake contains 1 cup of milk. There are 128 ounces in 1 gallon and 8 o

OlgaM077 [116]

Answer: 32 cups of milk

Step-by-step explanation:

The first thing to do is to convert the gallons of milk to milkshakes so that you are able to convert easier to cups.

There are 128 ounces in 1 gallon and Monica has 2 gallons. The amount of milk Monica has in ounces is:

= 128 * 2

= 256 ounces

Each cup is capable of holding 8 ounces and there are 256 ounces available so the number of cups of milk is:

= 256 / 8

= 32 cups of milk

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3 years ago

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OlgaM077 [116]

Answer:

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Step-by-step explanation:

1 + 7/10

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3 years ago

Read 2 more answers

An N-scale model railroad caboose is 3 inches long. N scale is 169 feet to 1 foot.

hammer [34]

9514 1404 393

Answer:

c/3 = 169/12
42 1/4 feet

Step-by-step explanation:

Since we want to know the actual number of feet, we can write the proportion with that in the numerator.

$\dfrac{\text{actual feet}}{\text{scale inches}}=\boxed{\dfrac{c}{3}=\dfrac{169}{12}}\\\\c=\dfrac{3\cdot169}{12}=42\frac{1}{4}\qquad\text{multiply by 3}$

The real caboose is 42 1/4 feet long.

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3 years ago

What is 56/160 in simplest form?

denis-greek [22]

Answer:

7/20

Step-by-step explanation:

Just reduce by dividing by the GCF

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3 years ago

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John and Martha are contemplating having children, but John’s brother has galactosemia (an autosomal recessive disease) and Mart

Rina8888 [55]

<h2>Answer:</h2>

$Probability=\frac{1}{24}$

<h2>Step-by-step explanation:</h2>

As the question states,

John's brother has Galactosemia which states that his parents were both the carriers.

Therefore, the chances for the John to have the disease is = 2/3

Now,

Martha's great-grandmother also had the disease that means her children definitely carried the disease means probability of 1.

Now, one of those children married with a person.

So,

Probability for the child to have disease will be = 1/2

Now, again the child's child (Martha) probability for having the disease is = 1/2.

Therefore,

<u>The total probability for Martha's first child to be diagnosed with Galactosemia will be,</u>

$Probability=\frac{2}{3}\times \frac{1}{2}\times \frac{1}{2}\times \frac{1}{4}\\Probability=\frac{1}{24}$

(Here, we assumed that the child has the disease therefore, the probability was taken to be = 1/4.)

<em><u>Hence, the probability for the first child to have Galactosemia is $\frac{1}{24}$ </u></em>

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3 years ago