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3 years ago

PLEASE HELP! THANK YOU! Explain your answer!!!

Mathematics

1 answer:

Brrunno [24]3 years ago

6 0

Answer:

1) y = 1/2 x + 3 and y = 1/2 x are parallel

2) y = 1/2 x + 4 and y = 1/2 x + 1 are parallel

Step-by-step explanation:

Two lines are parallel only if their slope is equal.

In the first problem:

y = 1/2 x + 3 and y = 1/2 x have same slope ( i.e slope = 1/2)

That means these two equations are parallel to each other.

In the second problem:

y = 1/2 x + 4 and y = 1/2 x + 1 have same slope( i.e slope = 1/2)

Hence above two equations are parallel to each other.

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A box contains 5 red balls, 6 white balls and 9 black balls. Two balls are drawn at

valina [46]

Answer:

$P(Same)=\frac{61}{190}$

Step-by-step explanation:

Given

$Red = 5$

$White = 6$

$Black = 9$

Required

The probability of selecting 2 same colors when the first is not replaced

The total number of ball is:

$Total = 5 + 6 + 9$

$Total = 20$

This is calculated as:

$P(Same)=P(Red\ and\ Red) + P(White\ and\ White) + P(Black\ and\ Black)$

So, we have:

$P(Same)=\frac{n(Red)}{Total} * \frac{n(Red) - 1}{Total - 1} + \frac{n(White)}{Total} * \frac{n(White) - 1}{Total - 1} + \frac{n(Black)}{Total} * \frac{n(Black) - 1}{Total - 1}$

Note that: 1 is subtracted because it is a probability without replacement

$P(Same)=\frac{5}{20} * \frac{5 - 1}{20- 1} + \frac{6}{20} * \frac{6 - 1}{20- 1} + \frac{9}{20} * \frac{9- 1}{20- 1}$

$P(Same)=\frac{5}{20} * \frac{4}{19} + \frac{6}{20} * \frac{5}{19} + \frac{9}{20} * \frac{8}{19}$

$P(Same)=\frac{20}{380} + \frac{30}{380} + \frac{72}{380}$

$P(Same)=\frac{20+30+72}{380}$

$P(Same)=\frac{122}{380}$

$P(Same)=\frac{61}{190}$

4 0

3 years ago

Ms. Shaw wants to go on vacation to Brazil the cost for one ticket is $985 if she goes with a group the ticket price is marked d

Vitek1552 [10]

Answer:

$837.25

Step-by-step explanation:

100%-> $985

1%->$9.85

15%->$9.85×15=$147.75

85%->$985-$147.75=$837.25

8 0

3 years ago

Find the LCM of n^3 t^2 and nt^4. A) n 4t^6 B) n 3t^6 C) n 3t^4 D) nt^2

patriot [66]

Answer:

The correct option is C.

Step-by-step explanation:

The least common multiple (LCM) of any two numbers is the smallest number that they both divide evenly into.

The given terms are $n^3t^2$ and $nt^4$ .

The factored form of each term is

$n^3t^2=n\times n\times n\times t\times t$

$nt^4=n\times t\times t\times t\times t$

To find the LCM of given numbers, multiply all factors of both terms and common factors of both terms are multiplied once.

$LCM(n^3t^2,nt^4)=n\times n\times n\times t\times t\times t\times t$

$LCM(n^3t^2,nt^4)=n^3t^4$

The LCM of given terms is $n^3t^4$ . Therefore the correct option is C.

8 0

3 years ago

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An ice cream factory makes 100 quarts of ice cream in 5 hours how many quarts could be made in 36 hours

I am Lyosha [343]

Answer:

720 Quarts

Step-by-step explanation:

$\frac{100}{5} = \frac{x}{36}$

cross multiply

$\frac{100}{5}*\frac{36}{36} = \frac{x}{36}*\frac{5}{5}\\\\\frac{3,600}{180}=\frac{5x}{180}$

now that they are both divided by 180, we can eliminate it

$3,600=5x\\\\\frac{3,600}{5}=\frac{5x}{5}\\\\720=x$

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3 years ago

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There are 252 pieces of candy in a 14-ounce jar. How many pieces of candy are there per ounce in the jar?

djyliett [7]

"Per" essentially means "divided by." To find pieces per ounce, divide pieces by ounces.

(252 pieces)/(14 ounces) = (252/14) pieces/ounce = 18 pieces/ounce

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3 years ago

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