Write the explicit formula for the geometric sequence.

6. A bus station has 8 buses that hold a total

lesantik [10]

Answer:

1040 passengers

Step-by-step explanation:

416÷8=52

52×20=1040

5 0

3 years ago

Read 2 more answers

I own a large truck, and my neighbor owns four small trucks that are all identical. My truck can carry a load of at least $600$

erastova [34]

Answer:

there is no greatest load

Step-by-step explanation:

Let x and y represent the load capacities of my truck and my neighbor's truck, respectively. We are given two relations:

x ≥ y +600 . . . . . my truck can carry at least 600 pounds more

x ≤ (1/3)(4y) . . . . . my truck carries no more than all 4 of hers

Combining these two inequalities, we have ...

4/3y ≥ x ≥ y +600

1/3y ≥ 600 . . . . . . . subtract y

y ≥ 1800 . . . . . . . . multiply by 3

My truck's capacity is greater than 1800 +600 = 2400 pounds. This is a lower limit. The question asks for an <em>upper limit</em>. The given conditions do not place any upper limit on truck capacity.

4 0

3 years ago

Read 2 more answers

Mr. Soto plans to open a savings account. Four banks offer the annual interest rates shown. Which list shows these interest rate

Delvig [45]

Ok, so IDK if I'm about to do this problem right, but here we go;

so first, lets change these all to decimals (I more of a decimal gal)

3 1/2 = 3.5
3 2/3 = 3.6666 (repeating)
3 3/5 = 3.6
3 3/8 = 3.375

So now, just order them from greatest to least.

3.66666, 3.6, 3.5, 3.375.

Now, change them back to fractions.
3 2/3, 3 3/5, 3 1/2, 3 3/8

So, if I'm correct, the answer is 3 2/3%, 3 3/5%, 3 1/2%, 3 3/8%
Hopefully I solved your problem!

6 0

3 years ago

PLS HELP!!! due to inflation nominal prices are usually there were to demand increases. After the second increase the price for

SashulF [63]

Answer:

The first increase was of 60%.

Step-by-step explanation:

The initial value of the product is x.

The first increase was of y.

The second increase is of 25%, that is, 1.25.

The final price was double the original, so 2x.

This situation can be modeled by the following equation:

$xy(1.25) = 2x$

We want to find y.

Simplifying by x

$1.25y = 2$

$y = \frac{2}{1.25}$

$y = 1.6$

After the first increase, the value was 1.6 of the original value, that is a increase as a percent of (1.6 - 1)*100 = 60%.

8 0

3 years ago

Write the equation 8y = 1/12 x – 0.8 in standard form. Identify A, B, and C.

PolarNik [594]

Answer:

The equation is 10x - 960y = 96

A = 10 , B = -960 , C = 96

Step-by-step explanation:

* Lets explain the standard form of the linear equation

- The standard form of the linear equation is :

AX + BY = C , where A , B , C are constant

- A is a positive integer, and B, and C are integers

- The slope of the line is -A/B

- The y-intercept is C/A

- Lets solve the problem

∵ The equation of the line is 8y = 1/12 x - 0.8

- At first multiply the equation by 12 to make the coefficient of x integer

∴ (8 × 12) y = (1/12 × 12) x - (0.8 × 12)

∴ 96y = x - 9.6

- Multiply the two sides of the equation by 10 to make 9.6 integer

∴ (96 × 10) y = (1 × 10) x - (9.6 × 10)

∴ 960y = 10x - 96

- Add the two sides by 96

∴ 960y + 96 = 10x

- Subtract 960y from both sides

∴ 96 = 10x - 960y

∴ The standard form of the equation is 10x - 960y = 96, where

A = 10 , B = -960 , C = 96

3 0

3 years ago