The Ortiz family will travel round-trip from Indianapolis to Denver this summer. The driving distance between the two cities is 1,058 miles. They need to find out about how much the gas will cost round trip. Their car gets about 20 miles per gallon. They usually spend about $2.89 per gallon.

Answer:

53 Million

Step-by-step explanation:

In 1991: t = 0 and A = 45 million

In 2002: t = 11 and p = 51 Million

You're Solving For k:

P = [tex]Ae^{kt}[/tex] In(1.0625) - In( [tex]e^{k*11}[/tex] )

51 = [tex]48^{k*11}[/tex] 0.0606 = k * 11

1.0625 = [tex]e^{k*11}[/tex] 0.0055 ≈ k

In 2008: t = 17

P = [tex]Ae^{kt}[/tex]

P = [tex]48e^{0.0055*17}[/tex]

P = [tex]48e^{0.094}[/tex]

P = 48*1.0986

P ≈ 52.71466 million as the population

P ≈ 53 Million If Rounded

roni 1/30 t 1/30t

allie 1/75 t 1/75t

If Roni and Allie are working together, Roni will mow .71 of the field.

in a chart,  Roni's rate would be 1/30 and Annie's rate would be 1/75.

both of thier times would be x

and the part of field mowed would be 1/30x for Roni and 1/75x for Annie.

the answer is .71

hope this helps :)

Answer:

This can be checked by looking at the number on the biggest place of the dividend, if it is less than the divisor, the answer will have one less digits place.

Step-by-step explanation:

The slope of the graph, in this case, is 3 and it indicates the cost per mile traveled in a taxi. The slope is obtained by dividing the change in total fare by the change in miles traveled.

The correct answer is 'The slope is 3 and it represents the cost per mile traveled'. In this context, the slope of the graph represents the taxi fare rate per mile traveled, meaning for each mile you travel in the taxi, you are charged this amount. To find the slope (m), you usually use the formula m = change in y / change in x. Here, 'y' refers to the total fare, and 'x' refers to the miles traveled.

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The volume of a cube with a side length of [tex]4r^3s[/tex] is a monomial expressed as[tex]64r^9s^3[/tex], derived by cubing the side length according to the formula for the volume of a cube.

To express the volume of a cube with the side length[tex]4r^3s[/tex] as a monomial, we use the formula for the volume of a cube, which is [tex]Volume = side^3[/tex]. Therefore, for a cube with side length [tex]4r^3s[/tex], the volume V can be calculated as follows:

[tex]V = (4r^3s)^3 = 4^3 \times (r^3)^3 \times s^3 = 64 \times r^9 \times s^3[/tex]

This simplifies to V = 64r^9s^3, which is the monomial representing the volume of the cube.

Answer:

Jane is incorrect.

Step-by-step explanation:

We have been given a statement. We are asked to determine whether the given statement is true or not.

Jane says that multiply a decimal by 100 is the same as multiplying the decimal by three factors of 10.

[tex]\text{3 factor of 10}=10^3[/tex]    

[tex]\text{3 factor of 10}=10\times 10\times 10[/tex]

[tex]\text{3 factor of 10}=1000[/tex]

When we multiply a decimal by 100, it will move the decimal to two digits to right and multiplying a number by 1000 will the decimal to three digits to right.

Therefore, Jane is incorrect.

The answer is 12. Hope this helps

She can buy 4 tickets

Answer:

Its B, ≤ 4

Step-by-step explanation:

The scale factor is 3.

8x+15 = 2x+39

8x =2x+24

6x = 24

x = 24/6 = 4

 angle 4 = 2(4) +39 = 8+39 = 47

 angle 6 = angle 4

angle 6 = 47 degrees

Answer:

1 - 2n > 5. The solution set is (-∞, -2)

Step-by-step explanation:

We are dealing here with two problems:

"One less than twice a number" can be written as  [tex]\\1 - 2n[/tex], where n is the unknown number.

If it is not less than five, thus it is greater (no less) than five. Then, the symbol here is  " > " (greater).

As a result: "One less than twice a number is no less than five" could be rewritten as "One less than twice a number is greater than five", or:

[tex]\\1 - 2n > 5[/tex].

The solution set for this inequality is as follows:

[tex]\\ 1-2n > 5[/tex] ⇒

Subtract -1 from each member of the inequality:

[tex]\\ 1-1-2n>5-1 [/tex] ⇒ [tex]\\ -2n>5-1[/tex] ⇒ [tex]\\ -2n>4 [/tex]

Multiply each member of the inequality by [tex]\\-\frac{1}{2}[/tex] (or divide each member by -2). We have to remember here that when we multiply or divide an inequality by a negative number (-n), this inverts the inequality, that is:

[tex]\\ -\frac{1}{2}*(-2)*n< -\frac{1}{2}*4 [/tex]

[tex]\\ 1*n< -\frac{1}{2}*4 [/tex]

[tex]\\ n < -2 [/tex]

The solution set is then [tex]\\ n< -2 [/tex], which is any value less than -2 (not including -2, because is < and not ≤), and we have infinite negative numbers with such a characteristic. We can write it mathematically as an interval notation:

Solution set for [tex]\\1 - 2n > 5[/tex] is [tex]\\ (-\infty, -2)[/tex].

The decimal 0.25 can be written in words as zero point two five or twenty five-hundredths .

To understand the value of 0.25 in terms of tenths and hundredths, let's break it down:

The digit 2 is in the tenths place, and it represents two tenths ( 2 / 10 ) or 0.2.

The digit 5 is in the hundredths place, and it represents five hundredths ( 5 / 100 ) or 0.05.

So, in terms of tenths and hundredths, 0.25 can be expressed as zero point two five, where the 2 represents two tenths and the 5 represents five hundredths twenty five-hundredths.

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Answer: The answer would be 25/t + 6 = 2t + 1