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3 years ago

Which expression is equivalent to 4(3x+5y+2z)+3(x-z)

Mathematics

1 answer:

Anni [7]3 years ago

4 0

A. 12x+20y+8z...it's a simple distributive property question :)

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Please help me with this question.

Inessa [10]

Answer:

Step-by-step explanation:

The SA of a cone is A=pi*r^2+pi*r*s

So instead of pi*5^2, it should be pi*3*5 (5 is the length of the slant).

5 0

3 years ago

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I need to solve this question asap

jeyben [28]

Answer:

im sorry I just need to us ur page to right on

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2 years ago

Suppose you pick two cards from a deck of 52 playing cards. What is the probability that they are both queens?

photoshop1234 [79]

Answer:

0.45% probability that they are both queens.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes

The combinations formula is important in this problem:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

Desired outcomes

You want 2 queens. Four cards are queens. I am going to call then A,B,C,D. A and B is the same outcome as B and A. That is, the order is not important, so this is why we use the combinations formula.

The number of desired outcomes is a combinations of 2 cards from a set of 4(queens). So

$D = C_{4,2} = \frac{4!}{2!(4-2)!} = 6$

Total outcomes

Combinations of 2 from a set of 52(number of playing cards). So

$T = C_{52,2} = \frac{52!}{2!(52-2)!} = 1326$

What is the probability that they are both queens?

$P = \frac{D}{T} = \frac{6}{1326} = 0.0045$

0.45% probability that they are both queens.

4 0

3 years ago

A sum of money is divided amongst Farah, Shaiyara and Zahin in the ratio 10: 7: 5. If

r-ruslan [8.4K]

Answers:

Total amount of money = 220 dollars
Amount Farah gets = 100 dollars

==========================================================

Explanation:

F = amount Farah gets
S = amount Shaiyara gets
Z = amount Zahin gets

The money is divided in the ratio 10:7:5

This means that

F = 10x
S = 7x
Z = 5x

for some positive real number x.

Since Shaiyara gets $20 more than Zahin, we can say,

S = Z+20

Let's plug in S = 7x and Z = 5x and solve for x

S = Z+20

7x = 5x+20

7x-5x = 20

2x = 20

x = 20/2

x = 10

Therefore,

F = 10x = 10*10 = 100
S = 7x = 7*10 = 70
Z = 5x = 5*10 = 50

The ratio F:S:Z becomes 100:70:50 which reduces fully to 10:7:5 after dividing all three parts by the GCF 10.

The total sum of money shared is 100+70+50 = 220 dollars and Farah gets $100 of that total.

6 0

2 years ago

The veloctiy of sound in air is given by the equation v=20 times the square root of 273+t where v is the velocity in meters per

Nikitich [7]

So we just need to plug in our values and solve
$v = 20 \sqrt{273 + t}$
we are given v is 369 so we have
$369 = 20 \sqrt{273 + x}$
now we solve for x.
divide both sides by 20
square both sides
subtract 273 from both sides
$369 = 20 \sqrt{273 + x} \\ 18.45 = \sqrt{273 + x} \\ 340.40 = 273 + x \\ x = 67.4$
so a temp of about 67 degrees C

5 0

2 years ago

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