MATHEMATICS MIDDLE SCHOOL

Disjoint subsets A and B of a universal set U, except assume that n(U)=120, n(A)=45, and n(B)=50.Then n(A′∪B)=

Answers

Answer 1

Answer:

Answer:

n (A' U B ) = 75

Step-by-step explanation:

Here, given : n(U)=120, n(A)=45, and n(B)=50

As we know:

n (A ' U B) = n(A) − n (A∩B) ... (1)

Here, n(A) = 45

So, n( A') = n(U) - n(A) = 120 - 45 = 75

⇒ n(A') = 75

Now, as given A and B are disjoint sets.

⇒ n (A ∩ B) = Ф

So, (A' U B ) = A'

So, n (A' U B ) =n( A') = 75

⇒ n (A' U B ) = 75

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Which of these systems has one unique solution? A. 4x−3y=1 and 4x−3y=−2 B. 4x−3y=1 and 8x−6y=2 C. 4x−3y=1 and −8x+6y=−4D. 4x−3y=1 and 4x+3y=1
Write 2. 2/3 as an improper fraction

What is 1 5/12 + 4 1/6 in its simplest form?

Answers

The answer is 5 7/12, here's why:

First convert the mixed numbers into improper fractions to make it simpler to deal with.

1 5/12 = 17/12
4 1/6 = 25/6

Now make them equivalent.

17/12 can stay the same,
25/6 can become 50/12

Now it's just 17/12 + 50/12
Just add the numerators!
17/12 + 50/12 = 67/12

All we have to do from here is simplify 67/12.
12 goes into 67 5 times, with a remainder of 7.
5 becomes the whole number, and our fraction is the remainder (7) over 12.

So 67/12 = 5 7/12.
This is as simplified as the answer can get.

Hope this helps!

Help me with 7 AND TELL ME HOW U DID IT PLS

Answers

According to the data,
20 foot = 2.5 inches

if we want to find out the measurement for 1 foot, 2.5 inches has to be divided by 20.
1 foot = 2.5/20 = 0.125

If it is increased to 28 foot, answer should be multiplied by 28.
0.125*28 = 3.5 in

Answer c is correct

1 foot = 12 inches, but
Scale
= 2.5 inches : 20 feet
= 1 inch : 8 feet

New size = 28 feet
Therefore,
Let the corresponding measurement be x inches.
So,
1 : 8 = x : 28
1 x
-- = ----
8 28

28
x = ---- = 3.5 inches
8

A yearbook printer charges based on the number of pages printed. Here is a table that shows the cost of some recent yearbooks.Number of pages 50 100 150 200
Cost 1.55 2.25 2.95 3.65

Which equation gives the cost, y, in terms of the number of pages, x?

A.

y = 0.014x + 49.15

B.

y = 0.014x + 1.55

C.

y = 0.014x + 0.85

D.

y = 58.8x + 0.85

Answers

so y=mx+b

cost=m(number of pages)+b

cost=y
# of pages=x

so points are
(x,y)
(50,1.55)
(100,2.25)
(150,2.95)
(20,3.65)

so solve for slope/m you do (y₁-y₂)/(x₁-x₂) so
just use any for example
(1.55-2.25)/(50-100)=-0.70/-50=1 times 0.7/50=7/500= (to convet to decimal form) 14/1000=1.4/100=0.14/10=0.014/1=0.014

slpoe is 0.014

y=0.014x+b

input one of the points exg 50 for x and 1.55 for y and solve for b
1.55=0.014(50)+b
1.55=.7+b
subtract .7 from both sides
0.85=b

so the equation is
y=0.014x+0.85

which is C

The moon is about 240,000 miles from earth. What is the distance written as a whole number multiplied by a power of ten

Answers

240000 miles
24 * 10000 miles
24 * 10^4 miles

24 * 10^4 is the distance

Chet's father is five times as old as Chet. In six years, his father only be three times as old. How old is Chet now?

Answers

12 bc if u take a random number like 6 times it by 5 you get thirty so his dad is 30 years old and chet is 6 then add six years and chet is 12 and his dad is 36 and 12 goes into 36 3 times. I hope this helped. :-)

What is the product of -0.2 and -6.8

Answers

On a calculator I got 1.36 when I multiplied -0.2 x -6.8

Hi!

-0.2 = -2/10 = -1/5

-0.2 × -6.8 =
-1/5 × -6.8 =
-1/5 × -6.8/1 =
(-1×-6.8)/(5×1) =
6.8/5 =
1.36

Answer:

1.36

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