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JulsSmile [24]
3 years ago
14

What is the prime factorazation of 30??????????

Mathematics
1 answer:
Amiraneli [1.4K]3 years ago
4 0

Answer:

2 • 3 • 5

(30 is not a prime number.)

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a certain triangle has a perimeter of 3067 mi. the shortest side measures 71 mi less than the middle side and the longest side m
UkoKoshka [18]

Answer:

The measure of the shortest side is 851 miles

Step-by-step explanation:

Let

x ----> the measure of the shortest side

y ---> the measure of the middle side

z ---> the measure of the longest side

we know that

The perimeter of triangle is equal to

P=x+y+z

P=3,067\ mi

so

3,067=x+y+z ----> equation A

the shortest side measures 71 mi less than the middle side

so

x=y-71 ----> equation B

the longest side measures 372 mi more the the middle side

so

z=y+372 ----> equation C

substitute equation B and equation C in equation A

3,067=(y-71)+y+(y+372)

solve for y

3,067=3y+301\\3y=2,766\\y=922

Find the value of x

x=y-71\\x=922-71\\x=851

therefore

The measure of the shortest side is 851 miles

6 0
3 years ago
What is the solution to the system of equations?
alukav5142 [94]

Answer:

  (x, y) = (-4, 15)

Step-by-step explanation:

The two equations have the same coefficient for y, so you can eliminate y by subtracting one equation from the other. Here the x coefficient is largest for the first equation, so it will work best to subtract the second equation.

  (3x +y) -(2x +y) = (3) -(7)

  x = -4 . . . . . . . . simplify

Now, we can find y by substituting this value for x.

  2(-4) +y = 7

  y = 7 +8 = 15 . . . . . add 8 to both sides of the equation

The solution is (x, y) = (-4, 15).

6 0
3 years ago
Jimmy goes for a run with his friends on the weekend. They run 11km in 5 hours. How long
zheka24 [161]
11km = 5h
1km = 5h divide by 11km = 0.45h
16.5km = 0.45 x 16.5 = 7.42 h
7 0
3 years ago
HELP!!!!!!!<br> images below
Umnica [9.8K]

Step-by-step explanation:

me manda as respostas em português

5 0
3 years ago
For a finite sequence of nonzero numbers, the number of variations in sign is defined as the number of pairs of consecutive term
elena55 [62]

Answer:

The no. of variations in sign is 3

Step-by-step explanation:

Variation in sign occurs when every single time a negative product is produced by a pair of consecutive terms.

Therefore, the determination of the number of changes in sign in the given sequence is must.

Therefore, we take the product of the pair of consecutive terms as:

1\times (-3) = - 3, variation in sign

(-3)\times 2 = - 6,  variation in sign

2\times 5 = 10,  no sign variation

5\times (- 4) = - 20,  variation in sign

- 4\times (-6) = 24, no sign variation

7 0
3 years ago
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