Dustin, a truck driver, has a delivery to make that is 866 miles away. If Dustin drives at a steady rate of 70 miles per hour for 540 minutes, how many more miles does he have to go?

The total volume of pool is:

                      1040 cubic ft.

We know that the total volume of the pool is the sum of the volume of two rectangular prism.

Hence, the volume of first rectangular prism is:

                       20×10×4=800 cubic ft.

Volume of second rectangular prism is:

                      6×4×10=240 cubic ft.

Hence, total volume of pool is:

                 800+240=1040 cubic ft.

Answer:

B. 28x + 8y + 2

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

There are a total of 18+22 = 40 people with birds.  There are a total of 18+25 = 43 people with rabbits.

This is a difference of 43-40 = 3 people.

There are 3 more students have rabbits than birds

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

Have Rabbits      Do Not Have Rabbits       Total

Have Birds              18           22                        40

Do Not Have Birds 25          35                        60

Total                        43          57                       100

There are a total of 18+22 = 40 people with birds.  

So 40 people with birds.

There are a total of 18+25 = 43 people with rabbits.

So 43 people with rabbits.

This is a difference of 43-40 = 3 people.

Hence, there are 3  more students have rabbits than birds

To learn more on Statistics click:

https://brainly.com/question/30218856

#SPJ3

Final answer:

Sally pays 70% of the price of a new van for a used van, which is calculated by dividing the price of the used van by the price of the new van and multiplying by 100.

Explanation:

To determine what percent of the price of a new van Sally pays for a used van, we use the formula for percentage: (Part / Whole) × 100. In this case, the price of the used van ($14,000) is the part, and the price of the new van ($20,000) is the whole. Hence, the calculation will be ($14,000 / $20,000) × 100.

Therefore, Sally pays 70% of the price of a new van for a used van.

Final answer:

After rearranging the formula and solving for the interest rate, the required rate is found to be approximately 4.7%.

Explanation:

The subject of this question is finding the required annual interest rate that will grow a principal amount of $5,200 to $6,500 when compounded quarterly over five years. To solve this, we shall use the compound interest formula:

A = P(1 + r/n)^(nt)

Where:A is the amount of money accumulated after n years, including interest.

P is the principal amount (the initial amount of money).

r is the annual interest rate (decimal).

n is the number of times that interest is compounded per year.

t is the time the money is invested for, in years.

We are given:

A = $6,500

P = $5,200

n = 4 (since interest is compounded quarterly)

t = 5 years

We need to solve for r. First, we rearrange the formula to isolate r:

(1 + r/n) = (A/P)[tex]^({1/(nt))}[/tex]

Then we can insert our known values and solve for r:

(1 + r/4) = ($6,500/$5,200)^(1/(4*5))
Calculate the right-hand side:

(1 + r/4) = (1.25)[tex]^({1/20)}[/tex]
Find the 20th root of 1.25:

(1 + r/4) ≈ 1.01168
Subtract 1 from both sides:

r/4 ≈ 0.01168
Multiply both sides by 4:

r ≈ 0.04672

Convert the decimal to a percentage:
r ≈ 4.672%
Round to the nearest tenth of a percent:

r ≈ 4.7%
Therefore, the required annual interest rate to the tenth of a percent for $5200 to grow to $6500 with interest compounded quarterly for five years is approximately 4.7%.

The atom consists of a tiny nucleus surrounded by moving electrons. The nucleus contains protons, which have a positive charge equal in magnitude to the electron's negative charge.

Answer:

x + 230 ≤ 500

Step-by-step explanation:

Given,

The time for which Tom used the phone = 230 minutes,

Let he further used the mobile for x minutes,

So, the total time for which he used the phone = ( x + 230 ) minutes,

According to the question,

For the extra minutes more than 500 minutes, the mobile phone carrier charges an extra fee,

Thus, if he wants to use the phone, without going over the 500-minute limit,

Then, the total time used by him ≤ 500 minutes,

⇒ x + 230 ≤ 500

Which is the required inequality.

Answer:

-18^x-45x on edge

Step-by-step explanation:

sorry if this is late just letting people know in the future

Step-by-step explanation: Well you see here 9x10 isnt 9 its 90 and 3x10 isnt -4 its 30

For a better understanding of the explanation provided here please go through the diagram in the attachment given below.

As we can see from the diagram of the congruent triangles ABC and FGH, the vertices A,B,C of [tex] \Delta ABC [/tex] correspond to the vertices F,G,H of [tex] \Delta FGH [/tex], so the corresponding sides must correspond too. Thus, AB corresponds to FG, BC corresponds to GH and CA corresponds to GF.

Now, we know that BC=10.4. Therefore, it's corresponding side GH must be 10.4 too because they are corresponding sides of a congruent triangle.

Thus, GH=10.4 is the correct answer.

All statements are true. Ratio of corresponding angles, areas, perimeters, and altitudes is 2:1. No false statement exists.

To determine which statement regarding the two triangles is NOT true, let's analyze each option step by step.

Given:

- Two triangles are similar.

- The ratio of the lengths of each pair of corresponding sides is 2:1.

Let's denote the lengths of corresponding sides in the first triangle as [tex]\( a \)[/tex], [tex]\( b \)[/tex], and [tex]\( c \)[/tex], and in the second triangle as [tex]\( 2a \)[/tex], [tex]\( 2b \)[/tex], and [tex]\( 2c \),[/tex] respectively.

A. Their corresponding angles have a ratio of 2:1.

- This statement is true because corresponding angles in similar triangles are congruent, so their ratios would indeed be 2:1.

B. Their areas have a ratio of 4:1.

- The area of a triangle is proportional to the square of the length of its sides. So if the ratio of the lengths of corresponding sides is 2:1, the ratio of their areas would be [tex]\( (2:1)^2 = 4:1 \)[/tex]. Hence, this statement is also true.

C. Their perimeters have a ratio of 2:1.

- The perimeters of triangles are directly proportional to the lengths of their sides. Since the ratio of the lengths of corresponding sides is 2:1, the ratio of their perimeters would indeed be 2:1. So, this statement is also true.

D. Their altitudes have a ratio of 2:1.

- The ratio of the altitudes of two similar triangles is equal to the ratio of their corresponding sides. So, if the ratio of corresponding sides is 2:1, the ratio of their altitudes would also be 2:1. Therefore, this statement is true.

Since all the statements are true, the correct answer is NONE.