At the grocery store, you can buy gum in a 6 pack for $11.70 or a 12 pack of gum for $23. Which is the better deal and what is the price per pack of gun if the better deal?

Answer: The 60th term of the arithmetic sequence -29, -49, -69, … is -1209.

Step-by-step explanation:

The given arithmetic sequence is -29, -49, -69, …

To find the 60th term of this sequence, we need to use the formula for the nth term of an arithmetic sequence:

a_n = a_1 + (n - 1)d

where a_n is the nth term of the sequence, a_1 is the first term of the sequence, n is the number of terms in the sequence, and d is the common difference between consecutive terms.

In this case, a_1 = -29 and d = -20 (since each term is 20 less than the previous term). We want to find a_60, so we substitute n = 60 into the formula:

a_60 = -29 + (60 - 1)(-20) = -29 + 59(-20) = -29 - 1180 = -1209

Therefore, the 60th term of the arithmetic sequence -29, -49, -69, … is -1209.

Please let me know if you have any other questions!

Answer:

A. 0.099

:)

Step-by-step explanation:

Answer-

The probability that Erin will not have a heart attack and the test predicts that she will is, 46.5% .

Hint- This a conditional probability problem where Bayes theorem should be applied.

Solution-

Applying Bayes theorem,

Putting the values,

∴ There is a 46.5% chance that Erin will not have a heart attack even though the test predicts that she will.

Answer:

Round out to the nearest 10th say 5 it would stay 5 unlike 8 would round to 10

Step-by-step explanation:

Answer:the length of each side of the larger square is 6 centimeters.

Step-by-step explanation:

Let x represent the length of each side of the small square.

Let y represent the length of each side of the Large square.

The area of the small square is x^2

The area of the large square is y^2

The combined area of two squares is 45 square centimeters. This means that

x^2 + y^2 = 45 - - - - - - - - - - -1

Each side of one square is twice as long as a side of the other square. This means that

y = 2x

Substituting y = 2x into equation 1, it becomes

x^2 + (2x)^2 = 45

x^2 + 4x^2 = 45

5x^2 = 45

x^2 = 45/5 = 9

x = √9 = 3

Substituting x = 3 into y = 2x, it becomes

y = 2 × 3 = 6 centimeters

Unit rate is the quantity of an amount of something at a rate of one of another quantity.

If 20 gallons of fuel is used to travel 440 miles.

47.91 gallons of fuel is used to travel 1054 miles.

What is a unit rate?

It is the quantity of an amount of something at a rate of one of another quantity.

In 2 hours, a man can walk for 6 miles

In 1 hour, a man will walk for 3 miles.

We have,

A car uses 20 gallons of fuel to travel 440 miles.

This can be written as:

20 gallons = 440 miles

Divide both sides by 440.

20/4440 gallons = 1 miles

This means,

20/440 gallons is needed to travel for 1 mile.

Now,

20/440 gallons = 1 miles

Multiply both sides by 1054.

1054 x (20/440) gallons = 1054 miles

47.91 gallons = 1054 miles

This means,

47.91 gallons of fuel is used to travel 1054 miles.

Thus,

If 20 gallons of fuel is used to travel 440 miles.

47.91 gallons of fuel is used to travel 1054 miles.

Learn more about unitrates here:

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