A door is 8 decimeters wide. how wide is the door in cm?? A 8cm B 80 cm C 800 cm D 8,000 cm

Answers

Answer 1
Answer: 8 decimeters= B. 80cm
Answer 2
Answer: B. 80 centimeters long

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Madison created two functions. For Function A, the value of y is two less than four times the value of x. The table below represents Function B. -3,-9 -1,5 1,-1 3,3 In comparing the rates of change, which statement about Function A and Function B is true? A. Function A and Function B have the same rate of change. B. Function A has a greater rate of change than Function B has. C. Function A and Function B both have negative rates of change. D. Function A has a negative rate of change and Function B has a positive rate of change.
the bottom of a ladder must be placed 5 feet from a building. the ladder is 14 feet long. how far above the ground does the ladder touch the wall?
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What is 2/10 + 5/100 =

The table below shows the outputs y for different inputs x:Input
(x) 1 1 3 3
Output
(y) 4 2 12 6


Part A: Does the table represent y as a function of x? Justify your answer. (5 points)

Part B: The total cost f(x), in dollars, for renting a paddleboat for x hours is shown below:

f(x) = 20 + 10x

What is the value of f(120), and what does f(120) represent? (5 points

Answers

Answer with explanation:

Part A:

  • A relation is said to be a function where each input has only a single output.

We usually take the input variable as 'x' and the output variable as 'y'.

In the given table, we can see that 1 is the input value corresponding to 4 and 2 both.

i.e.  one input value corresponds to two different output values that contradicts the definition of the function.

Thus  the given table doesn't represent any function.

Part B: Given : The total cost f(x), in dollars, for renting a paddle-boat for x hours is shown below:

f(x) = 20 + 10x

At x= 120 ,  f(120) = 20 + 10(120)=20+1200=1220

It represents that the total cost  for renting a paddle-boat for 120 hours is $1220.

Part A)
The table doesn't represent y as a function of x.
Why? One reason is that 1 or 3 is the first element in more than one ordered pair.
 Part B)
f(x) = 10x + 20
f(120)= 10*120 + 20 = 1200 + 20 = 1220 
f(120) represents cost of boating for 120 hours.
 


A piece of plywood 24 inches wide is cut into strips 2 1/2 inches wide. How many strips of this width can be cut?

Answers

1.       Given situation:
=> A piece of plywood is 24 inches wide
=> it will be cut into strips of 2 ½  inches wide.
Now, we need to find the numbers of strips in 24 inches plywood.
To do that, we simply need to divide 24 inches from 2 ½ inches.
=> Since 2 ½ is a mixed fraction (combination of whole number and fraction), we need to convert it into improper fraction.
=> 2 ½ = 5/2
=> 24 = 24/1

Now, we have 2 fractions. Let’s divide
=> 24 / 5
       1     2  
=>24  / 5 = 48 / 5
      1      2     2     2
=> 9.6 or 9 3/5

Thus, there will be 9.6 or 9 3/5 of plywood strips.



Answer:

9 inches

Step-by-step explanation:

24/2.5 is 9.6 BUT 0.6 IS NOT A FULL PIECE, SO IT IS 9 INCHES

Stan is $50 in his wallet and continues to save $6 each week from chores. Kyle has $34 in his wallet and continues to save $10 each week from chores. Write a linear equation for each person. Then solve it in the space below.

Answers

Answer:

Stan: y=6x+50

Kyle: y=10x+34

Step-by-step explanation:

The y-axis starts at 50 and increases by 6 for Stan's

The y-axis starts at 34 and increases by 10 for Kyle's

hope this helps

Stan: 6w + 50
Kyle: 10w + 34

The 50 and 34 are added in the equations because this is the amount that Stan and Kyle started out with. The w in the equations represents the number of weeks that Stan and Kyle save their different amounts of money.

If you deposit $750 into a bank account that pays 1.75% interest compounded continuously, how much will be in the account after 5 years?

Answers

Answer:

One it depends on when the interest  when it gains

Step-by-step explanation:

in the 5 years in it each year it gains 13.125

13.12*5= your answer 65.6+750=815.6

What is the answer to 6=-w/8

Answers

The answer is w=-48

Solve:
6 = -w/8
Multiply by 8 on both sides to get the variable alone.
48 = -w
We found the answer for negative w, but we want the answer for w.
48/-1 = -48
-48 = w
6 = -(w)/(8)

First, multiply both sides by 8. / Your problem should look like: 48 = -w
Second, multiply both sides by -1. / Your problem should look like: -48 = w
Third, switch sides around. / Your problem should look like: w = -48

Answer: w = -48

The London Eye (a ferris wheel) makes one rotation in approximately 30 minutes. What is the measure of the angle (in degrees) that a cart (spoke on the wheel) will rotate in 12 minutes?

Answers

1 rotation = 360 degrees
It takes 30 minutes.
It rotates (360/30) = 12 degrees every minute.

In 12 minutes, 1 seat will rotate (12 x 12) = 144 degrees.

============================================

A slightly different way to do it:

1 rotation = 360 degrees
It takes 30 minutes.

12 minutes = (12/30) = 0.4 of a complete rotation.

0.4 of 360 degrees = (0.4 x 360) = 144 degrees

============================================

A slightly different way to do it:

Set up the proportion:

(30 minutes / 360 degrees) = (12 minutes / 'x' degrees)

Cross-multiply the proportion:

30 x degrees-minutes = (12 x 360) degree-minutes

Divide each side by '30 minutes':

'x' degrees = (12 x 360 degree minutes) / 30 minutes = 144 degrees

360/30=12 degrees per 1 minute
12minutes times 12 degrees equals 144 degrees.