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user100 [1]
3 years ago
10

GREG PLANS TO BUY A BOOK FOR $5.00 AND SOME CDS FOE $4.OOEAC.THE GREATEST TATAL AMOUNT OF MONEY THAT GREG PLANS TO SPEND ON BUYI

NG THE BOOK AND MUSIC CDS IS $29.00.WHAT IS THE NUMBER OF MUSIC CDS X THAT GREG CAN BUY
Mathematics
2 answers:
kolezko [41]3 years ago
8 0
He could buy 6 CD of the book I hope I helped
Sedaia [141]3 years ago
5 0
$29 - $5 = $24
24 ÷ 4.00 = 6
He can buy 6 CDs after buying the book
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Determine each of the following.
castortr0y [4]

Answer:

(a) \{1,2,3,4,5,6,7,8,9,10\}

(b) 10

(c) \{\}

(d) 0

(e) 1024

Step-by-step explanation:

(a)

A = {x ∈ Z | 0 < x, x² ≤ 100}

We need to find all the elements of given set.

The given conditions are

0                ... (1)

x^2\leq 100

Taking square root on both sides.

-\sqrt{100}\leq x\leq \sqrt{100}

-10\leq x\leq 10             .... (2)

Using (1) and (2) we get

0

Since x ∈ Z,

A=\{1,2,3,4,5,6,7,8,9,10\}

(b)

We need to find the value of  | {x ∈ Z | 0 < x, x² ≤ 100}| or |A|. It means have to find the number of elements in set A.

|A|=10

| {x ∈ Z | 0 < x, x² ≤ 100}| = 10

(c)

B = {x ∈ Z | x > 10, x² ≤ 100}

We need to find all the elements of given set.

The given conditions are

x>10                ... (3)

x^2\leq 100

It means

-10\leq x\leq 10             .... (4)

Inequality (3) and (4) have no common solution, so B is null set or empty set.

B=\{\}

(d)

We need to find the value of |{x ∈ Z | x > 10, x² ≤ 100}| or |B|. It means have to find the number of elements in set B.

|B|=0

|{x ∈ Z | x > 10, x² ≤ 100}| = 0

(e)

We need to find the value of | P(A) |. P(A) is the power set of set A.

Number of elements of a power set is

N=2^n

where, n is the number of elements of set A.

We know that the number of elements of set is 10. So the value of |P(A)| is

|P(A)|=2^{10}

|P(A)|=1024

Therefore |P(A)|=1024.

7 0
3 years ago
Coordinates will be fine PLs ASAP cause I need this rn<br> 13 POINTS!!!
grigory [225]

If the vertices of the triangle are J(-3,-5), K(-2,2) and L(1,-4) then its reflection in y axis are J(3,-5), K(2,2) and L(-1,-4)

Given,

The vertices of the triangle = J(-3,-5), K(-2,2) and L(1,-4)

We know,

In reflection in y axis (x,y)  will become (-x,y)

Then the vertices of the reflection in y axis = J(3,-5), K(2,2) and L(-1,-4)

Draw the triangle using the vertices.

Hence, if the vertices of the triangle are J(-3,-5), K(-2,2) and L(1,-4) then its reflection in y axis are J(3,-5), K(2,2) and L(-1,-4)

Learn more about reflection here

brainly.com/question/15487308

#SPJ1

3 0
1 year ago
Help! See the question below!
n200080 [17]
It’s the 3rd problem:)
5 0
3 years ago
Read 2 more answers
4(5+ab) where a=-3.5 and b-0.8
lozanna [386]

Answer:

31.2

Step-by-step explanation:

4(5 + (- 3.5 × - 0.8)

4(5 + 2.8)

4(7.8)

31.2

6 0
3 years ago
Please help<br> Please also explain
schepotkina [342]

Answer: it is equal

Step-by-step explanation: you subtract 15-4 which equals 11. the exponent is the only thing being subtracted since it's a fraction. therefore it equals 10(11)

3 0
2 years ago
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