If 3x - 4 = 14, then ________. 1) x = 6 2) x = 4 3) x = 10 4) x = 8

Answers

Answer 1
Answer:

Answer:

x=6

Step-by-step explanation:

3x=14+4

x=18/3

i.e x = 6


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Alexander went to the store to buy some walnuts. The price per pound of the walnuts is $8 per pound and he has a coupon for $1 off the final amount. With the coupon, how much would Alexander have to pay to buy 2 pounds of walnuts? Also, write an expression for the cost to buy pp pounds of walnuts, assuming at least one pound is purchased.

Answers

Final answer:

Alexander would have to pay $15 for 2 pounds of walnuts after using the coupon. The expression for the cost to buy p pounds of walnuts is (8 * p) - 1.

Explanation:

The price per pound of walnuts that Alexander is buying is $8. If he is buying 2 pounds, without the coupon he would have to pay 2 * $8 = $16. But since he has a $1 off coupon, he would have to pay $16 - $1 = $15.

To formulate an expression for the cost to buy p pounds of walnuts, we consider that each pound costs $8 and there is a $1 off from the total price. So for p pounds, the expression would be (8 * p) - 1.

Learn more about Price Calculation here:

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Alexander would have to pay $15 to buy 2 pounds of walnuts with the coupon. The expression is cost = ($8/pound) x pp - $1.

What is a cost function?

The functional connection between cost and output is referred to as the cost function. It examines the cost behaviour at various output levels under the assumption of constant technology. An essential factor in determining how well a machine learning model performs for a certain dataset is the cost function. It determines and expresses as a single real number the difference between the projected value and expected value.

Given that, the price per pound of walnuts is $8.

2 pounds x $8/pound = $16

Alexander would get $1 off the final amount.

Thus,

$16 - $1 = $15

So Alexander would have to pay $15 to buy 2 pounds of walnuts with the coupon.

The expression for the cost can be written as:

cost = ($8/pound) x pp - $1

Hence, Alexander would have to pay $15 to buy 2 pounds of walnuts with the coupon. The expression is cost = ($8/pound) x pp - $1.

Learn more about algebraic expressions here:

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If the dimensions of a figure are doubled, then the area of the figure is___.

Answers

If the dimensions of a figure are doubled, then the area of the figure is quadrupled.

Answer:

Quadrupled

Step-by-step explanation:

Let us consider rectangle be a figure whose dimensions are a and b.

Then, the area of the rectangle will be:

A=a{*}b

A=ab square units

Now, If we double the dimensions of the rectangle that is 2a and 2b, then the area of the rectangle will become:

A=2a{*}2b

A=4ab square units

Therefore, if we double the dimensions of the rectangle, the area becomes quadrupled.

Thus, If the dimensions of a figure are doubled, then the area of the figure is Quadrupled.

If the number of concerts held in a city is correlated to the number of local radio channels, what third variable might most likely be responsible for this correlation?the number of songs played on each channel

the weather conditions of the city

the number of music lovers in the city

the duration of each concert

Answers

The most logical answer to this is the third option:

the number of music lovers in the city

Since this variable will most likely be related to the number of concerts in  a city and the number of local radio channels in the same place

The product of two consecutive odd numbers is 10 more than the square of the smaller number. Find the smaller number

Answers

Answer:

5

Step-by-step explanation:

let the consecutive odd numbers be n and n + 2 , then

n(n + 2) = n² + 10 , that is

n² + 2n = n² + 10 ( subtract n² from both sides )

2n = 10 ( divide both sides by 2 )

n = 5

That is the smaller number is 5

Express the indicated likelihood  as a probability values between 0 and 1.question: Ben Franklin said that death is a certainty of life

Answers

That would be probability 1.

A line crosses the y-axis at (0,4) and has a slope of -2. Find an equation for the this line.A) y = 2x + 4 B) y = -2x + 4 C) y = -2x - 4 D) y = -4x + 2 <-- 6)Write the equation of the line with the given slope and y-intercept.
slope = 5 y-intercept = 8 A) y = 5x + 8 B) x = 5y + 8 <-- C) y = 8x + 5 D) x = 8y + 5

Answers

C) y = -2x -

A) y = 5x + 8