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3 years ago

How to factorise? I need to factorise 4a^2 - 12b please show method

1 answer:

7 0

4a² - 12b = 4 (a² - 3b)
so you just pull out the common factor between the two term 4
then you divide each term by the common factor to find what remain
4a²/4 = a²
-12b/4= -3b
so now you put the four as the multiplier outside of the bracket and then put back the remainders: 4 ( a² - 3b)

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Please help! And explain the answers too!

RideAnS [48]

1) He worked 4 hours leaving 6 more hours for him.
rate for A alone 6 baker
rate for A & B together 4
1/a+1/b=1/x
1/6+1/b=1/4
1/b=1/4-1/6
1/b=6/24-4/24
1/b=2/24
1/b=1/12
b=12
rate for wife alone 12 hours for the remaining 6 hours
check
1/6+1/12=1/4
12/72+6/72=1/4
18/72=1/4
ok
codewa
But we want to know how long it would have taken her for the whole job not just part of it
he works twice as fast as she does so the job that takes him 10 hours alone would take her 20 hours alone.

2) jessica and cynthia work in a pet shop.
it takes jessica 6 hours to groom all the pets but cynthia needs 8 hours to groom them.
if jessica starts to groom 1 hour before cynthia joins, how long will it take them to finish?
:
let t = time it takes them to finish (C's working time)
then
t+1 = J's working time
let 1 = completed job (all pets groomed)
:
A shared work equation, each does a fraction of the job, the two fractions add up to 1
%28%28t%2B1%29%29%2F6 + t%2F8 = 1
Multiply by the least common multiple of 6 and 8, 24. cancel the denominators
4(t+1) + 3t = 24
4t + 4 + 3t = 24
4t + 3t = 24 - 4
7t = 20
t = 20/7
t = 26%2F7 hrs, which is: 2 + 6%2F7*60 = 2 hrs 51.43 min to finish the job

3) math club takes 40 minutes
science takes 50 minutes.
rate * time = quantity
quantity = 1 set up of the tables.
rate for math club is 1/40 of all the tables in 1 minute.
rate for science club is 1/50 of all the tables in 1 minute.
math club works for 10 minutes.
rate * time = quantity
1/40 * 10 = 10/40 = 1/4 of the tables are already set up by the math club.
there are 3/4 of the tables that still need to be set up.
rate * time = quantity
the rates of the math club and the science club are additive.
(1/40 + 1/50) * time = 3/4 of the tables that still need to be set up.
common denominator is 200.
(5/200 + 4/200) * time = 3/4.
9/200 * time = 3/4
time = 3/4 * 200/9 = 600 / 36 = 16 and 2/3 minutes.
total time required is 10 + 16 + 2/3 minutes = 26 + 2/3 minutes.
how to check.
10 minutes is used to do 1/4 of the tables.
16 + 2/3 minutes is used to do the remaining 3/4 of the tables.
combined rate of math and science club is 9/200 of the tables in 1 minute.
math club rate of 1/40 * 10 = 10/40 = 1/4 of the tables.
combine rate of 9/200 * (16 + 2/3) = 9/200 * 50/3 = 450/600 = 9/12 = 3/4 of the tables.
1/4 + 3/4 = 1 = all of the tables.

6 0

3 years ago

60 + 108 = 180 What property would this be

kvv77 [185]

Answer:

Non-intelligent

Step-by-step explanation:

It is wrong so who ever solved this equation is non-intelligent

5 0

3 years ago

What is the next number? 2+3=8 3+7=27 4+5=32 5+8=60 6+7=72 7+8=?

ale4655 [162]

Answer:

Step-by-step explanation:

2 + 3 = 8

8 : 2 = 4; 4 - 1 = 3 (subtract 1)

3 + 7 = 27

27 : 3 = 9, 9 - 2 = 7 (subtract 2)

4 + 5 = 32

32 : 4 = 8; 8 - 3 = 5 (subtract 3)

5 + 8 =60

60 : 5 = 12, 12 - 4 = 8 (subtract 4)

6 + 7 = 72

72 : 6 = 12, 12 - 5 = 7 (subtract 5)

7 + 8 = x

x : 7 = y, y - 6 = 8 (subtract 6)

Solve:

y - 6 = 8 add 6 to both sides

y - 6 + 6 = 8 + 6

y = 14

x : 7 = y ⇒ x : 7 = 14 ⇒ x = (14)(7) ⇒ x = 98

8 0

3 years ago

The perimeter of triangle ABC is 32 find the lengths of AC and AB

Nutka1998 [239]

The lengths of AC and AB are each 10.6 units.

Step-by-step explanation:

Perimeter of a triangle = Sum of all the three sides of a triangle

Perimeter = 3a
where, a is the length of the each sides of a triangle.

⇒ 32 = 3a

⇒ a = 32/3

⇒ a = 10.6

6 0

4 years ago

N a recent election, Mark Benton received 780 votes for 12% of the total vote. How many people voted in the election?

Sloan [31]

Answer: Answer C

Step-by-step explanation:

12%___780 votes

100%___X= 6500 votes

(100*780)/12 = 6500

5 0

3 years ago