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3 years ago

The 52 cards in a shuffled deck are dealt equally among four players, call them a, b, c, and

Mathematics

1 answer:

kkurt [141]3 years ago

5 0

solution:

A and B have 26 cards which are 7 spades and 19 non spades.

C and D have 6 spades and 20 non spades.

13 cards are chosen randomly from 26 cards (6 spades and 20 non spades)

probability of choosing exactly 4 spades is given by

(6 / 26) × (5/ 25) × (4/24) × (3 / 23) = 3/2990

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From y² + 5 y - 7, subtract y² - 3 y - 4

Vaselesa [24]

3 0

2 years ago

Match the real-world problem to its constant of proportionality.

OleMash [197]

Answer:

6.12

1.39

4.12

Step-by-step explanation:

If y ∝ x, then y = kx.

So, the constant of proportionality is given by $k = \frac{y}{x}$

Case 1:

$18.36 for 3 pizzas

Therefore, the constant of proportionality is $\frac{18.36}{3} = 6.12$

Case 2:

$4.17 for 3 pounds of bananas.

Hence, the constant of proportionality is $\frac{4.17}{3} = 1.39$

Case 3:

$16.48 for 4 pounds of potatoes.

Hence, the constant of proportionality is $\frac{16.48}{4} = 4.12$

Case 4:

2 cups of flour to make 24 cookies.

Hence, the constant of proportionality is $\frac{24}{2} = 12$ (Answer)

7 0

3 years ago

Aaron tracks the time it takes him to mow lawns by writing coordinate points relating x, the time in hours it takes to mow a law

NARA [144]

Answer:

Slope of this line is given by:

<em>Aaron’s rate for mowing lawns is 0.5 acres per hour</em>

Step-by-step explanation:

It is given that time is tracked by Aaron related to x coordinate.

and the area of land mowed in acres is related to y coordinate.

Two of his points are given as:

(3, 1.5) and (5,2.5)

We know that the coordinates are represented in the form of (x,y)

i.e. first coordinate represents x coordinate and

second coordinate represents y coordinate.

So, it can be observed that:

$x_1=3, y_1=1.5\\x_2=5, y_2=2.5$

Change in x coordinate = $x_2-x_1=5-3 = 2$

i.e. total time taken is 2 hours.

Change in y coordinate = $y_2-y_1=2.5-1.5 = 1$

i.e. total land mowed taken is 1 acre.

In other words, <em>it takes 2 hours for Aaron to mow 1 acre of land.</em>

So, "option 1) It takes Aaron about 1 hour to mow 2 acres." is incorrect.

<u>Rate of mowing</u> lawn is the <em>land mowed by Aaron in 1 hour</em>.

Land mowed in 2 hours = 1 acre

Land mowed in 1 hours = $\frac{1}{2}$ acre i.e. 0.5 acre

Also, slope of a line is given as:

$m = \dfrac{y_2-y_1}{x_2-x_1}$

Here $y_2 - y_1 = 1$

$x_2 - x_1 = 2$

As per formula:

$m = \dfrac{1}{2} = 0.5$

So, option 2) Aaron’s rate for mowing lawns is 0.5 acres per hour.

6 0

4 years ago

Read 2 more answers

Una gruesa de lapices(144 unidades) cuesta $6.800. Cuanto cuestan 450 lapices

irina [24]

Write and solve an equation of ratios:

$6,800 x
------------- = --------------
144 units 450 units

Then 144x = 3060000, or x = $21,250 (answer)

3 0

3 years ago

Help me with this please

Elina [12.6K]

Answer:

1) <2 ; 60

2) <3 ; 60

3) <4 and <3. <4 = 120 and <3 = 60

4) <1, <3, and <4 = 125. <2 = 55

Step-by-step explanation:

Corresponding angles are equal

Alternate interior angles are equal

<4 and <3 are same-side interior angles. This makes them supplementary angles

<4 = 120

<3 = 60

<1 = <4 = <3. All of these angles equal 125.

<2 + <1 = 180

<2 + 125 = 180

<2 = 55

8 0

3 years ago