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3 years ago

Please answer this quickly !

Mathematics

1 answer:

nika2105 [10]3 years ago

4 0

Answer:

The first option.

Because we're solving for the price of each gallon, x will represent the cost of each gallon. Since 8.4 is the total amount of gallons, multiply 8.4 and x to get $23.94. Solve for x by dividing 23.94 to get $2.85 per gallon. To check this, substitute 2.85 for x into the equation: 8.4 (2.85) = 23.94

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State the converse, contrapositive, and inverse of each of these conditional statements a) If it snows tonight, then I will stay

marissa [1.9K]

Step-by-step explanation:

Consider the provided information.

For the condition statement $p \rightarrow q$ or equivalent "If p then q"

The rule for Converse is: Interchange the two statements.
The rule for Inverse is: Negative both statements.
The rule for Contrapositive is: Negative both statements and interchange them.

Part (A) If it snows tonight, then I will stay at home.

Here p is If it snows tonight, and q is I will stay at home.

Converse: If I will stay at home then it snows tonight.

$q \rightarrow p$

Inverse: If it doesn't snows tonight, then I will not stay at home.

$\sim p \rightarrow \sim q$

Contrapositive: If I will not stay at home then it doesn't snows tonight.

$\sim q \rightarrow \sim p$

Part (B) I go to the beach whenever it is a sunny summer day.

Here p is I go to the beach, and q is it is a sunny summer day.

Converse: It is a sunny summer day whenever I go to the beach.

$q \rightarrow p$

Inverse: I don't go to the beach whenever it is not a sunny summer day.

$\sim p \rightarrow \sim q$

Contrapositive: It is not a sunny summer day whenever I don't go to the beach.

$\sim q \rightarrow \sim p$

Part (C) When I stay up late, it is necessary that I sleep until noon.

P is I sleep until noon and q is I stay up late.

Converse: If I sleep until noon, then it is necessary that i stay up late.

$q \rightarrow p$

Inverse: When I don't stay up late, it is necessary that I don't sleep until noon.

$\sim p \rightarrow \sim q$

Contrapositive: If I don't sleep until noon, then it is not necessary that i stay up late.

$\sim q \rightarrow \sim p$

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2 years ago

Evaluate the variable expression using the given values for the variable.

bixtya [17]

9514 1404 393

Answer:

Step-by-step explanation:

Put the values where the variables are and do the arithmetic.

3ab +b = 3(9)(2) +2 = 56

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3 years ago

Write an equation for a circle with center at (6, –2) and diameter = 12.

SVEN [57.7K]

(x+6)2+(y-10)2=36 , would be your equation.

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3 years ago

PLEASE HELP ASAP!!!! 100% CORRECT ANSWERS ONLY PLEASE!!!!

stealth61 [152]

The answer is "alternate exterior angles theorem."

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3 years ago

Read 2 more answers

Imani's rent increased from $560 per month to $600 per month. Her friend, Ariana, had her rent increase

Kipish [7]

Answer:

Imani's rent had a higher percent increase

Step-by-step explanation:

A change from 560 to 600 represents a positive change (increase) of 7.1428571429%

A change from 825 to 875 represents a positive change (increase) of 6.0606060606%

Percent change = New - Old /825 × 100

3 0

2 years ago