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Ann [662]
3 years ago
13

Write each sum as a product of two factors Problem= 3x+(2+x)+5*2

Mathematics
1 answer:
ivanzaharov [21]3 years ago
4 0
3x+(2+x)+5*2 =3x+x+2+10=4x+12=4(x+3)
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Solve for x and y<br> -2x-y=-9<br> 5x-2y=-9
Lisa [10]

we use equation 1 first.
-2x -y = -9 

 -y = -9 + 2x

y = 9 -2x

We substitute value of y in equation 2

5x - 2 (9 - 2x) = -9

5x -18 - 4x = -9

5x - 4x = -9 + 18

x = 18 -9

x = 9

We now find the value of y

-2x -y = -9

-2 (9) - y = -9

-18 - y = -9

-y = -9 + 18

y = 9 - 18

y = -9





6 0
3 years ago
Alicia's MP3 player contains 1,260 song. Given that 35% of the songs are rock songs and 20% of the songs are rap songs, how many
schepotkina [342]
1. 567
2. 33
3. 85%; $17
4. they have 4 pages left
5. (-5,2)
8 0
3 years ago
Suppose you are managing 16 employees, and you need to form three teams to work on different projects. Assume that all employees
valentina_108 [34]

Answer:

4380 ways

Step-by-step explanation:

We have to form 3 project of 16 employees, they tell us that the first project must have 5 employees, therefore we must find the number of combinations to choose 5 of 16 (16C5)

We have nCr = n! / (R! * (N-r)!)

replacing we have:

1st project:

16C5 = 16! / (5! * (16-5)!) = 4368 combinations

Now in the second project we must choose 1 employee, but not 16 but 11 available, therefore it would be to find the number of combinations to choose 1 of 11 (11C1)

2nd project:

11C1 = 11! / (1! * (11-1)!) = 11 combinations

For the third project we must choose 10 employees, but since we only have 10 available, we can only do a combination of this, since 10C10 = 1, therefore:

3rd project: 1 combination

The total number of combinations fro selecting 16 employees for each project would be:

4368 + 11 + 1 = 4380 combinations, that is, there are 4380 different ways of forming projects with the given conditions.

3 0
3 years ago
What’s the value of x??
KengaRu [80]

Answer:

7

Step-by-step explanation:

98

7 0
3 years ago
What is the volume of the following triangular prism?
Eva8 [605]

Answer:

V=150cm^3

Step-by-step explanation:

First we need to find area of the triangle with a base of 4 cm and a height of 5cm, and then multiply that by the length of the prism of 15cm.

The area of the triangle is given by the  formula:

A_T=\frac{bh}{2}

where b is the base: b=4cm and h is the height: h=5cm

thus, in this case we have:

A_T=\frac{(4cm)(5cm)}{2}\\ \\A_T=\frac{20cm^2}{2} \\\\A_T=10cm^2

And now, the volume will be the area of the triangle multiplied by the length l=15cm of the prism:

V=A_T*l

Substituting the known values:

V=10cm^2*15cm\\V=150cm^3

The volume in cubic centimeters is 150.

4 0
3 years ago
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