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romanna [79]
3 years ago
15

A 16- foot board is to be cut into two pieces so that one piece is 4 feet longer the the other. How long will the longer piece b

e?​
Mathematics
1 answer:
Dennis_Churaev [7]3 years ago
5 0

Answer:

The longer piece will be 10 feet long.

Step-by-step explanation:

16 - 10 is 6

10 is 4 more than 6

therefore the longer piece will be 10 feet long

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A Ferris wheel can accommodate 65 people in 15 minutes. How many people could ride the Ferris wheel in 2 hours? What was that ra
densk [106]

Answer:

520 people in 2 hours

rate = 260 people per hour

Step-by-step explanation:

change minutes to hours

15 minute* 1 hr/60 minutes = .25 hrs

65 people      x people

---------------  = ------------------

.25 hrs            2 hrs


using cross products

65 * 2 = .25 * x

130 = .25x

divide by .25

130/.25 = .25x/.25

520 =x

520 people

65 people      x people

---------------  = ------------------

.25 hrs            1 hrs

using cross products

65 = .25x

divide by .25

65/.25 = .25x/.25

260 =x

260 people in 1 hour

rate = 260 people per hour

5 0
3 years ago
What's the answer to this <br>4 (w+1)-4w <br>I nee help!
kompoz [17]

Question

what's the answer to this  

4 (w+1)-4w


Answer:

<h2>4</h2>

Step-by-step explanation:


4 (w+1)-4w =

4w + 4 - 4w =

4

5 0
3 years ago
Using the order of operations, what should be done first to evaluate 12+(-6)(3)+(-2)?
sesenic [268]

Answer:

hello there...

you know BODMAS for sure

First brackets then of then divi then multi then add and then subtract

going by BODMAS

we need to first of all multiply of -6 and 3

hence ans is multiplying -6 and 3

( option 1 Is wrong by the equation u sent if the equation is correct then ans is which given bur by options I think equation is wrong becoz I don't see divide symbol)

7 0
3 years ago
{4x-2y+5z=6 <br> {3x+3y+8z=4 <br> {x-5y-3z=5
lesya692 [45]

There are three possible outcomes that you may encounter when working with these system of equations:


  •    one solution
  •    no solution
  •    infinite solutions

We are going to try and find values of x, y, and z that will satisfy all three equations at the same time. The following are the equations:

  1. 4x-2y+5z = 6
  2. 3x+3y+8z = 4
  3. x-5y-3z = 5

We are going to use elimination(or addition) method

Step 1: Choose to eliminate any one of the variables from any pair of equations.

In this case it looks like if we multiply the third equation by 4 and  subtracting it from equation 1, it will be fairly simple to eliminate the x term from the first and third equation.

So multiplying Left Hand Side(L.H.S) and Right Hand Side(R.H.S) of 3rd equation with 4 gives us a new equation 4.:

4. 4x-20y-12z = 20      

Subtracting eq. 4 from Eq. 1:

(L.HS) : 4x-2y+5z-(4x-20y-12z) = 18y+17z

(R.H.S) : 20 - 6 = 14

5. 18y+17z=14

Step 2:  Eliminate the SAME variable chosen in step 2 from any other pair of equations, creating a system of two equations and 2 unknowns.

Similarly if we multiply 3rd equation with 3 and then subtract it from eq. 2 we get:

(L.HS) : 3x+3y+8z-(3x-15y-9z) = 18y+17z

(R.H.S) : 4 - 15 = -11

6. 18y+17z = -11

Step 3:  Solve the remaining system of equations 6 and 5 found in step 2 and 1.

Now if we try to solve equations 5 and 6 for the variables y and z. Subtracting eq 6 from eq. 5 we get:

(L.HS) : 18y+17z-(18y+17z) = 0

(R.HS) : 14-(-11) = 25

0 = 25

which is false, hence no solution exists



3 0
3 years ago
Name the solid figure that has 3 rectangular faces and 2 triangular faces
wolverine [178]
A tringular prism. The picture attached shows it- the 3 rectangular faces are the sides and bottom; the  2 triangular are the front and back. Hope this helps!!

6 0
3 years ago
Read 2 more answers
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