Simplify: <br><br> 3³+5⋅5<br> (adding more because I need 20 characters for some reason)

Word Problems:

vaieri [72.5K]

Answer:

Andy's Rental Car: f(x)= 20 + (30x)

Buddy's Rental Car: f(x) 36 + (28x)

Step-by-step explanation:

First, identify what you know:

1) Andy's Rental Car charges an initial fee of $20 plus an additional $30 per day to rent a car.

2) Buddy's Rental Car charges an initial fee of $36 plus an additional $28 a day!

So, which rental car company has the better deal? Imagine you want to rent a car for ten days, which would you choose?

First, create an equation for each:

Andy's Rental Car: f(x)= 20 + (30x)

The x represents the number of days the car is rented. Multiple the days by the $30 day charge, and add it to the initial rental charge.

Buddy's Rental Car: f(x) 36 + (28x)

The x represents the number of days the car is rented. Multiple the days by the $28 day charge, and add it to the initial rental charge.

Now, input 10, for the number of days you want to rent the car for!

Andy's Rental Car: f(10)= 20 + (30 x 10)

20 + (300)

f(x) = $320

Buddy's Rental Car: f(10) = 36 + (28 x 10)

36 + (280)

f(x) = $316

So, it would be $4 cheaper to rent from Buddy's Rental Car company than Andy's Rental Car company!

Hope this helps! :)

7 0

3 years ago

23÷1,624 5th grade math

Contact [7]

Answer:

0.01416256157 or 0.02 rounded

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

How much further up the wall does the ladder in figure 2 reach than

ASHA 777 [7]

The ladder in figure 2 reaches 3.2 feet further up than the ladder in figure 1.

Step-by-step explanation:

Step 1:

In both the given figures, the ladder, the wall and the floor form a right-angled triangle. The floor is the adjacent side, the wall is the opposite side and the ladder is the hypotenuse.

According to the Pythagorean theorem,

$a^{2}+b^{2}=c^{2}$ , where c is the length of the hypotenuse while a and b are the lengths of the other two sides.

Step 2:

For the ladder in figure 1, assume the distance from the floor to the ladder's top is x feet. So a = x, b = 8 and c = 10 (hypotenuse).

$a^{2}+b^{2}=c^{2}$ , $x^{2}+8^{2}=10^{2}$ , $x^{2}=100-64=36, x=\sqrt{36}=6 \text { feet }$ .

So the distance between the floor and the ladder's top is 6 feet.

Step 3:

For the ladder in figure 2, assume the distance between the floor and the ladder's top is y feet. So a = y, b = 4 and c = 10 (hypotenuse).

$a^{2}+b^{2}=c^{2}$ , $y^{2}+4^{2}=10^{2}$ , $y^{2}=100-16=48, x=\sqrt{84}=9.1651 \text { feet }$ .

So the distance between the floor and the ladder's top is 9.1651 feet.

Step 4:

The difference in heights = The wall height in figure 2 - the wall height in figure 1.

The difference in heights = 9.1651 feet - 6 feet = 3.1651 feet.

Rounding this off to the nearest tenth of a foot, we get 3.2 feet.

4 0

3 years ago

What is the remainder when x3 + x2 − 5x − 6 is divided by x − 2 ?

pishuonlain [190]

I believe the answer is C) 0

4 0

3 years ago

Jose worked n hours at $8.75 per hours. He made $61.25.Which expression represents the total number of hour jose worked?

mariarad [96]

Answer:

8.75n = 61.25

Step-by-step explanation:

We multiply n, number or hours, times how much he makes per hour.

Therefore, it is 8.75n = 61.25

Hope this helps :)

8 0

3 years ago

Simplify: 3³+5⋅5 (adding more because I need 20 characters for some reason)