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3 years ago

Factor each polynomial 6m^2-15m

1 answer:

6 0

You can do prime factorization then find common factors to factor out.

6m² - 15m

2·3·m·m - 3·5·m

Both terms have 3·m so we can factor it out:

3·m (2·m - 5)

So that would be 3m (2m - 5)

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Disks of polycarbonate plastic from a supplier are analyzed for scratch and shock resistance. The results from 100 disks are sum

Naddika [18.5K]

Answer:

P(A) = 86/100

P(B) = 79/100

P(A') = 14/100

P(A U B) = 95/100

P(A' U B) = 84/100

Step-by-step explanation:

i. P(A) = number of disks with high shock resistance/total number of disks

= (70+16)/100

= 86/100

ii. P(B) = number of disks with high scratch resistance/total number of disks

= (70+9)/100

= 79/100

iii. P(A') = number of disks without high shock resistance/total number of disks

= (100-86)/100

= 14/100

iv. P(AUB) = number of disks with high shock resistance or high scratch resistance/total number of disks

= (70+9+16)/100

= 95/100

v. P(A'UB) = number of disks without high shock resistance or with high scratch resistance/total number of disks

= (5+9+70)/100

= 84/100

3 0

2 years ago

A theater has 60 seats in the first row, 68 seats in the second row, 76 seats in the third row, and so on in the same increasing

Vinvika [58]

Answer:212 seats

Step-by-step explanation:a1=60

D=8

4 0

3 years ago

A display of cans in a grocery store consists of 15 rows. There are 45 cans on the bottom , 42 cans on the next row, and so on,

Alchen [17]

Answer:

n = 9

Step-by-step explanation:

20 + 18 + ... + 6 + 4

---------------------------

a = 20 ; d = -2 ; n = ?

--------

4 = 20 + (n-1)(-2)

-16 = (n-1)(-2)

---------

n-1 = 8

n = 9

-------

S(9) = (9/2)(20+4)

S(9) = 4.5*24

S(9) = 108

8 0

3 years ago

10. A store pays $10 for a bracelet, and the markup is 115%. A customer will

Vedmedyk [2.9K]

12.075
Explain:
Price after mark-up: 10*115% = 11.5
Price after sales tax: 11.5 * 105% = 12.075

8 0

3 years ago

Read 2 more answers

Given m varies directly with n and m = 6 when n = 5. what is the value of n when m = 12?

Rashid [163]

Answer:

n = 10

Step-by-step explanation:

given m varies directly as n then the equation relating them is

m = kn ← k is the constant of variation

to find k use the condition m = 6 when n = 5

6 = 5k ( divide both sides by 5 )

k = $\frac{6}{5}$ = 1.2

m = 1.2n ← equation of variation

when m = 12 , then

12 = 1.2n ( divide both sides by 1.2 )

10 = n

7 0

2 years ago