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borishaifa [10]
3 years ago
13

Please help ASAP !!!

Mathematics
1 answer:
san4es73 [151]3 years ago
4 0

Answer:

The correct answer is, Option d.

Step-by-step explanation:

It is given a system of equation.

- 2x - 2y + 5z = 1

- 5x - 5y + 7z = 4

9x - 2y + 2z = -1

<u>To find the augmented matrix</u>

To find the augmented matrix we have to write the coefficients of the given system of equation.

- 2   - 2   5  |  1

- 5   - 5   7  |  4

 9   - 2   2  |  1

Therefore the correct answer is Option d.

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g natasha is in a class of 30 students that selects 4 leaders. How many ways are there to select the 4 leaders so that natasha i
Papessa [141]

Answer:

<h2>3,654 different ways.</h2>

Step-by-step explanation:

If there are 30 students in a class with natasha in the class and natasha is to select four leaders in the class of which she is already part of the selection, this means there are 3 more leaders needed to be selected among the remaining 29 students (natasha being an exception).

Using the combination formula since we are selecting and combination has to do with selection, If r object are to selected from n pool of objects, this can be done in nCr number of ways.

nCr = n!/(n-r)!r!

Sinca natasha is to select 3 more leaders from the remaining 29students, this can be done in 29C3 number of ways.

29C3 = 29!/(29-3)!3!

29C3 = 29!/(26!)!3!

29C3 = 29*28*27*26!/26!3*2

29C3 = 29*28*27/6

29C3 = 3,654 different ways.

This means that there are 3,654 different ways to select the 4 leaders so that natasha is one of the leaders

5 0
3 years ago
if it took 9 hours to mow 15 lawns, then at that rate, how many lawns could be mowed in 27 hours? What was the rate of lawns mow
sammy [17]

Answer:

Step-by-step explanation:

15lawns/9hours= 1.6 lawns mowed per hour

1.6lph*27hours=43.2 lawns

6 0
3 years ago
3+2/5x=11-2/5<br> What is the solution
Pachacha [2.7K]

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5/53

Step-by-step explanation:

6 0
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I Don't understand this :/ help please
jek_recluse [69]
The two planes intersect in a single line shared by the planes.  The line of intersection is NO.
3 0
3 years ago
A customer wants to put in a concrete driveway that is 10" thick. How much concrete would it take to pour a driveway that measur
stellarik [79]

Answer: 22.59 yd^3

Step-by-step explanation:

First the volume of a cuboid whose measurements are:

L = length, W = width and T = thiknes is:

V = L*W*T.

We want to calculate the volume of a shape that is:

10'' thick, 18' wide and 42' long.

This notation is:

(') = feet

('') = inches

The first step is to write our 3 numbers in the same units, then we can use that:

1 inch = 0.083 ft.

Then 10 inches are equal to:

10'' = 10*(0.083 ft) = 0.83 ft = 0.83'

Then the volume of concrete needed will be:

V = 0.83ft*18ft*42ft = 627.48 ft^3

But we want this expressed in yd^3

1ft = 0.33 yd

then

1ft^3 = (0.33 yd)^3 = 0.036 yd^3

then 627.48 ft^3 can be written as:

627.48 ft^3 = 627.48*( 0.036 yd^3) = 22.59 yd^3

8 0
3 years ago
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