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jekas [21]
3 years ago
15

On Monday, it took Helen 3 hours to do a page of science homework exercises. The next day she did the same number of exercises i

n 2 hours. If her average rate on Monday was pexercises per hour, what was her average rate the next day, in terms of p?
Mathematics
1 answer:
pogonyaev3 years ago
4 0
P- it is amount of exercises
average= \frac{exercises}{hour}
Monday average= \frac{p}{3h}
Tuesday average= \frac{p}{2h}
If we take into account both days and calculate average from Monday and Tuesday ( we sum 3h on Monday and 2 hours on Tuesday and p exercises on Mon and p exercises on Tuesday):
Monday and Tuesday average=\frac{2p}{5}
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If 6 cards are drawn at random from a standard deck of 52 cards, what is the probability that exactly 2 of the cards are spades?
nataly862011 [7]

Answer:

<em>The probability of getting exactly 2 of the cards are spades out of 6 cards will be </em><em>0.315</em>

Step-by-step explanation:

6 cards are drawn at random from a standard deck of 52 cards.

The number ways 6 cards can be drawn from a deck of 52 cards will be,

=\ ^{52}\text{C}_6=20358520

In a deck of 52 cards, 13 cards are of spades. So drawing 2 spades out of 13 is,

=\ ^{13}\text{C}_2=78

As exactly 2 must be spades, so the remaining 4 cards must be drawn from other 39 cards of other suits. This can be done in,

=\ ^{39}\text{C}_4=82251

The probability of getting exactly 2 of the cards are spades out of 6 cards will be,

=\dfrac{\ ^{13}\text{C}_2\times ^{39}\text{C}_4}{\ ^{52}\text{C}_6}=\dfrac{78\times 82251}{20358520}=0.315

4 0
3 years ago
Simpliftly(-8.5)(-5)( -2)<br><br>how do i simplify it​
Darina [25.2K]

Answer:

-85

Step-by-step explanation:

(-8.5)(-5)(-2)

Multiply

(42.5)(-2)

-85

Hope this helps :)

7 0
3 years ago
Simplify an expression for the perimeter of the rectangle shown.
Zanzabum

The perimeter of the rectangle is P = (17.2x₊16.4).

Given that,

Length, l = 8.6x₊3

Width, b = 5.2

In the formula P=2l+2w, where l is the rectangle's length and w is its width, the perimeter P of a rectangle is determined. Using the formula A=l×w, where l is the length and w is the width, we can determine the area A of a rectangle.

We need to find the expression for the perimeter of the rectangle. The formula for the perimeter of the rectangle is given by :

P=2(l₊b)

Putting values of l and b in the above formula:

p = 2(8.6x ₊ 3 ₊ 5.2)

= 2(8.6x ₊ 8.2)

= 2(8.6x) ₊ 2(8.2)

= 17.2x ₊ 16.4

So, the required perimeter of the rectangle is 17.2x₊16.4.

Learn more about Area Perimeter here:

brainly.com/question/25292087

#SPJ9

4 0
1 year ago
-2(x+3)= what's the answer
yuradex [85]
-2(x + 3)
Distribute the -2 to both x and +3 since the -2 is outside of the parentheses
-2 * x = -2x
-2 * 3 = -6
Therefore, your answer is -2x - 6
6 0
3 years ago
Read 2 more answers
The stack on the left is made up of 15 pennies, and the stack on the right is also made up of 15 pennies. If the volume of the s
Ksenya-84 [330]

Answer:  The required volume is 390 mm³.

Step-by-step explanation: Given that the stack on the left is made up of 15 pennies, and the stack on the right is also made up of 15 pennies. The volume of the stack of pennies on the left is 390 mm³.

we are to find the volume of the stack of pennies on the right in cubic millimeters.

The number of pennies on the left and right are same, equal to 15.

Also, the volume of the stack of pennies on the left is 390 mm³.

Since the number of pennies on the right and left are equal, so the volume of the stack on the right and left are also equal.

Therefore, the volume of the stack of pennies on the right is 390 mm³.

Thus, the required volume is 390 mm³.

3 0
3 years ago
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