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PolarNik [594]
3 years ago
13

Which number would make this number sentence true?

Mathematics
2 answers:
Ivan3 years ago
8 0
C)15 cuz
(-) and (-) = (+)
(-) and (+)= (-)
(+) and (+)= (+)
(+) and (-)= (-)
So 12-(-3)= u can see the - and - so it’s gonna be a plus, so it converts into 12+3.. so you get 15
nlexa [21]3 years ago
4 0

Answer: 15

Step-by-step explanation: Take 12 and change the -3 to a regular 3.

(12 + 3 = 15.)

Whichever number in the question that’s bigger determines what integer it will have.

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David inherited some money from his uncle. He invested half of the money with Bernie
ValentinkaMS [17]
Given:
Let x be the whole amount inherited.
1/2 * x - invested with Bernie Madoff
1/3 * x - lost due to identity theft
1/8 * x - lost in casino
40,000 - remainder

x - x/2 - x/3 - x/8 = 40,000

LCM: 
2: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24
3: 3, 6, 9, 12, 15, 18, 21, 24
8: 8, 16, 24, 

   x * 24/24 = 24x / 24
x/2 * 12/12 = 12x / 24
x/3 *   8/8   = 8x / 24
x/8 *   3/3   = 3x / 24
40,000 * 24/24 = 960,000 / 24

24x/24 - 12x/24 - 8x/24 - 3x/24 = 960,000/24
(24x - 12x - 8x - 3x)/24 = 960,000/24
x/24 = 960,000/24
24 * x/24 = 24 * 960,000/24
x = 960,000

x = 960,000 initial inheritance
x/2 = 960,000/2 = 480,000 invested with Bernie Madoff
x/3 = 960,000/3 = 320,000 lost due to identity theft
x/8 = 960,000/8 = 120,000 lost in the casino
40,000 - remaining amount.

960k - 480k - 320k - 120k = 40k
40k = 40k
 
3 0
3 years ago
A library has five copies of a certain textbook on reserve of which two copies (1 and 2) are hardcover books and the other three
Gre4nikov [31]

Answer and Step-by-step explanation:

(a) Since the student have to stop when he gets to w softcover book, then the sample space should always stop at either 3 or 4 or 5. If the students examines the books randomly and stops at a softcover book, here are the possible ways he could carry this out,

S = {3, 4, 5, 13, 14, 15, 23, 24, 25, 123, 124, 125, 213, 214, 215}

2. Since only one book is to be examined then the student must check only one softcover book and end the examining. To do this, either he examines just 3 or 4 or 5. Therefore,

A = {3, 4, 5}

3. We need to pick the possibilities from the sample space that shows that the examining ended at book 5. Therefore,

B = {5, 15, 25, 125, 215}

4. We need to pick possibilities from the sample space that shows that book 1 was not examined. Therefore,

C = {3, 4, 5, 23, 24, 25}

5 0
3 years ago
Solve
viva [34]

Answer:

cost was 252

Step-by-step explanation:

Show all work including equations

5 0
3 years ago
A cone and a cylinder have the same height and their bases are congruent circles
Anettt [7]

Answer:

30cm^3

Step-by-step explanation:

the volume of a cylinder is given by:

v_{cylinder}=\pi r^2 h

and the volume of a cone is given by:

v_{cone}=\frac{\pi r^2 h}{3}

since both have the same height and radius, we can solve each equation for r^2h (because this quantity is the same in both figures) and then match the expressions we find:

from the cylinder's volume formula:

r^2h=\frac{v_{cylinder}}{\pi}

and from the cone's volume formula:

r^2h=\frac{3 v_{cone}}{\pi}

matching the two previous expressions:

\frac{v_{cylinder}}{\pi} =\frac{3v_{cone}}{\pi}

we solve for the volume of a cone v_{cone}:

v_{cone}=\frac{\pi v_{cylinder}}{3\pi} \\\\v_{cone}=\frac{v_{cylinder}}{3}

substituting the value of the cylinder's volume v_{cylinder}=90cm^3

v_{cone}=\frac{90cm^3}{3} \\\\v_{cone}=30cm^3

5 0
3 years ago
Read 2 more answers
SHOW that (x + 3) and (x - 2) are factors of f(x) = x4 + 10x3 + 23x2 -<br> 34x - 120.
Anna35 [415]
If f(x) = 0 then it is a root

x + 3 = 0
x=-3
f(-3) = (-3)^4 + 10(-3)^3 + 23(-3)^2 - 34(-3) - 120 = 0

x - 2 = 0
x=2
f(2) = (2)^4 + 10(2)^3 + 23(2)^2 - 34(2) - 120 = 0
8 0
3 years ago
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